{"items":[{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1900, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 1/3; value 14 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 11 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 11 units is mean-outcome(BD1900).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1900, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 1/3; value 14 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 11 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1900, the probability-weighted arithmetic mean is 11 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-001-0000","options":["Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"14":"2/3","5":"1/3"},"mean":"11","modes":["14"],"value":"11"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1901, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 1/3; value 16 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 15 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 15 units is mean-outcome(BD1901).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1901, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 1/3; value 16 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 15 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1901, the probability-weighted arithmetic mean is 15 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-002-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"16":"2/3","7":"1/3"},"mean":"13","modes":["16"],"value":"15"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1902, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 1/3; value 18 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 15 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 15 units is mean-outcome(BD1902).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1902, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 1/3; value 18 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 15 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1902, the probability-weighted arithmetic mean is 15 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-003-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"18":"2/3","9":"1/3"},"mean":"15","modes":["18"],"value":"15"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1903, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 11 units with mass 1/3; value 20 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 19 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 19 units is mean-outcome(BD1903).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1903, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 11 units with mass 1/3; value 20 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 19 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1903, the probability-weighted arithmetic mean is 19 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-004-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"11":"1/3","20":"2/3"},"mean":"17","modes":["20"],"value":"19"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1905, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 3 units with mass 5/12; value 6 units with mass 1/3; value 11 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is mean-outcome(BD1905).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1905, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 3 units with mass 5/12; value 6 units with mass 1/3; value 11 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1905, the probability-weighted arithmetic mean is 6 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-005-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"11":"1/4","3":"5/12","6":"1/3"},"mean":"6","modes":["3"],"value":"6"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1906, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 5/12; value 8 units with mass 1/3; value 13 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 10 units is mean-outcome(BD1906).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1906, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 5/12; value 8 units with mass 1/3; value 13 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1906, the probability-weighted arithmetic mean is 10 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-006-0009","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"13":"1/4","5":"5/12","8":"1/3"},"mean":"8","modes":["5"],"value":"10"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1907, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 5/12; value 10 units with mass 1/3; value 15 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 10 units is mean-outcome(BD1907).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1907, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 5/12; value 10 units with mass 1/3; value 15 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1907, the probability-weighted arithmetic mean is 10 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-007-0011","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"10":"1/3","15":"1/4","7":"5/12"},"mean":"10","modes":["7"],"value":"10"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1908, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 5/12; value 12 units with mass 1/3; value 17 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 14 units is mean-outcome(BD1908).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1908, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 5/12; value 12 units with mass 1/3; value 17 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1908, the probability-weighted arithmetic mean is 14 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-008-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"12":"1/3","17":"1/4","9":"5/12"},"mean":"12","modes":["9"],"value":"14"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1910, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 3/8; value 9 units with mass 3/8; value 13 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 17/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 17/2 units is mean-outcome(BD1910).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1910, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 3/8; value 9 units with mass 3/8; value 13 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 17/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1910, the probability-weighted arithmetic mean is 17/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-009-0011","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"13":"1/4","5":"3/8","9":"3/8"},"mean":"17/2","modes":["5","9"],"value":"17/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1911, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 3/8; value 11 units with mass 3/8; value 15 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 25/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 25/2 units is mean-outcome(BD1911).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1911, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 3/8; value 11 units with mass 3/8; value 15 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 25/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1911, the probability-weighted arithmetic mean is 25/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-010-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"11":"3/8","15":"1/4","7":"3/8"},"mean":"21/2","modes":["7","11"],"value":"25/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1912, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 3/8; value 13 units with mass 3/8; value 17 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 25/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 25/2 units is mean-outcome(BD1912).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1912, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 3/8; value 13 units with mass 3/8; value 17 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 25/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1912, the probability-weighted arithmetic mean is 25/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-011-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"13":"3/8","17":"1/4","9":"3/8"},"mean":"25/2","modes":["9","13"],"value":"25/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1913, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 11 units with mass 3/8; value 15 units with mass 3/8; value 19 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 33/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 33/2 units is mean-outcome(BD1913).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1913, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 11 units with mass 3/8; value 15 units with mass 3/8; value 19 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 33/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1913, the probability-weighted arithmetic mean is 33/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-012-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"11":"3/8","15":"3/8","19":"1/4"},"mean":"29/2","modes":["11","15"],"value":"33/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1915, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 4 units with mass 1/5; value 8 units with mass 3/5; value 12 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is mean-outcome(BD1915).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1915, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 4 units with mass 1/5; value 8 units with mass 3/5; value 12 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1915, the probability-weighted arithmetic mean is 8 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-013-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"12":"1/5","4":"1/5","8":"3/5"},"mean":"8","modes":["8"],"value":"8"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1916, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 6 units with mass 1/5; value 10 units with mass 3/5; value 14 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 12 units is mean-outcome(BD1916).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1916, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 6 units with mass 1/5; value 10 units with mass 3/5; value 14 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1916, the probability-weighted arithmetic mean is 12 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-014-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"10":"3/5","14":"1/5","6":"1/5"},"mean":"10","modes":["10"],"value":"12"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1917, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 8 units with mass 1/5; value 12 units with mass 3/5; value 16 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 12 units is mean-outcome(BD1917).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1917, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 8 units with mass 1/5; value 12 units with mass 3/5; value 16 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1917, the probability-weighted arithmetic mean is 12 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-015-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"12":"3/5","16":"1/5","8":"1/5"},"mean":"12","modes":["12"],"value":"12"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1918, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 10 units with mass 1/5; value 14 units with mass 3/5; value 18 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 16 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 16 units is mean-outcome(BD1918).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1918, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 10 units with mass 1/5; value 14 units with mass 3/5; value 18 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 16 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1918, the probability-weighted arithmetic mean is 16 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-016-0009","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"10":"1/5","14":"3/5","18":"1/5"},"mean":"14","modes":["14"],"value":"16"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1920, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 4 units with mass 1/6; value 10 units with mass 1/3; value 10 units with mass 1/3; value 16 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 10 units is mean-outcome(BD1920).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1920, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 4 units with mass 1/6; value 10 units with mass 1/3; value 10 units with mass 1/3; value 16 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1920, the probability-weighted arithmetic mean is 10 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-017-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"10":"2/3","16":"1/6","4":"1/6"},"mean":"10","modes":["10"],"value":"10"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1921, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 6 units with mass 1/6; value 12 units with mass 1/3; value 12 units with mass 1/3; value 18 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 14 units is mean-outcome(BD1921).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1921, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 6 units with mass 1/6; value 12 units with mass 1/3; value 12 units with mass 1/3; value 18 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1921, the probability-weighted arithmetic mean is 14 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-018-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"12":"2/3","18":"1/6","6":"1/6"},"mean":"12","modes":["12"],"value":"14"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1922, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 8 units with mass 1/6; value 14 units with mass 1/3; value 14 units with mass 1/3; value 20 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 14 units is mean-outcome(BD1922).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1922, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 8 units with mass 1/6; value 14 units with mass 1/3; value 14 units with mass 1/3; value 20 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1922, the probability-weighted arithmetic mean is 14 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-019-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"14":"2/3","20":"1/6","8":"1/6"},"mean":"14","modes":["14"],"value":"14"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1923, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 10 units with mass 1/6; value 16 units with mass 1/3; value 16 units with mass 1/3; value 22 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 18 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 18 units is mean-outcome(BD1923).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1923, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 10 units with mass 1/6; value 16 units with mass 1/3; value 16 units with mass 1/3; value 22 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 18 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1923, the probability-weighted arithmetic mean is 18 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-020-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"10":"1/6","16":"2/3","22":"1/6"},"mean":"16","modes":["16"],"value":"18"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1950, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 1/3; value 55 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 52 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 52 units is mean-outcome(FD1950).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1950, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 1/3; value 55 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 52 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1950, the probability-weighted arithmetic mean is 52 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-021-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"46":"1/3","55":"2/3"},"mean":"52","modes":["55"],"value":"52"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1951, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 1/3; value 57 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 56 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 56 units is mean-outcome(FD1951).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1951, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 1/3; value 57 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 56 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1951, the probability-weighted arithmetic mean is 56 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-022-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"48":"1/3","57":"2/3"},"mean":"54","modes":["57"],"value":"56"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1952, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 1/3; value 59 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 56 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 56 units is mean-outcome(FD1952).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1952, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 1/3; value 59 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 56 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1952, the probability-weighted arithmetic mean is 56 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-023-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"50":"1/3","59":"2/3"},"mean":"56","modes":["59"],"value":"56"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1953, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 52 units with mass 1/3; value 61 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 60 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 60 units is mean-outcome(FD1953).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1953, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 52 units with mass 1/3; value 61 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 60 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1953, the probability-weighted arithmetic mean is 60 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-024-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"52":"1/3","61":"2/3"},"mean":"58","modes":["61"],"value":"60"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1955, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 44 units with mass 5/12; value 47 units with mass 1/3; value 52 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 47 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 47 units is mean-outcome(FD1955).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1955, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 44 units with mass 5/12; value 47 units with mass 1/3; value 52 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 47 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1955, the probability-weighted arithmetic mean is 47 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-025-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"44":"5/12","47":"1/3","52":"1/4"},"mean":"47","modes":["44"],"value":"47"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1956, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 5/12; value 49 units with mass 1/3; value 54 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 51 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 51 units is mean-outcome(FD1956).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1956, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 5/12; value 49 units with mass 1/3; value 54 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 51 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1956, the probability-weighted arithmetic mean is 51 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-026-0008","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"46":"5/12","49":"1/3","54":"1/4"},"mean":"49","modes":["46"],"value":"51"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1957, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 5/12; value 51 units with mass 1/3; value 56 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 51 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 51 units is mean-outcome(FD1957).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1957, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 5/12; value 51 units with mass 1/3; value 56 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 51 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1957, the probability-weighted arithmetic mean is 51 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-027-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"48":"5/12","51":"1/3","56":"1/4"},"mean":"51","modes":["48"],"value":"51"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1958, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 5/12; value 53 units with mass 1/3; value 58 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 55 units is mean-outcome(FD1958).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1958, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 5/12; value 53 units with mass 1/3; value 58 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1958, the probability-weighted arithmetic mean is 55 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-028-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"50":"5/12","53":"1/3","58":"1/4"},"mean":"53","modes":["50"],"value":"55"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1960, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 3/8; value 50 units with mass 3/8; value 54 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 99/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 99/2 units is mean-outcome(FD1960).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1960, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 3/8; value 50 units with mass 3/8; value 54 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 99/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1960, the probability-weighted arithmetic mean is 99/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-029-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"46":"3/8","50":"3/8","54":"1/4"},"mean":"99/2","modes":["46","50"],"value":"99/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1961, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 3/8; value 52 units with mass 3/8; value 56 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 107/2 units is mean-outcome(FD1961).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1961, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 3/8; value 52 units with mass 3/8; value 56 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1961, the probability-weighted arithmetic mean is 107/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-030-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"48":"3/8","52":"3/8","56":"1/4"},"mean":"103/2","modes":["48","52"],"value":"107/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1962, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 3/8; value 54 units with mass 3/8; value 58 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 107/2 units is mean-outcome(FD1962).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1962, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 3/8; value 54 units with mass 3/8; value 58 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 107/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1962, the probability-weighted arithmetic mean is 107/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-031-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"50":"3/8","54":"3/8","58":"1/4"},"mean":"107/2","modes":["50","54"],"value":"107/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1963, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 52 units with mass 3/8; value 56 units with mass 3/8; value 60 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 115/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 115/2 units is mean-outcome(FD1963).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1963, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 52 units with mass 3/8; value 56 units with mass 3/8; value 60 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 115/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1963, the probability-weighted arithmetic mean is 115/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-032-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"52":"3/8","56":"3/8","60":"1/4"},"mean":"111/2","modes":["52","56"],"value":"115/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1965, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 45 units with mass 1/5; value 49 units with mass 3/5; value 53 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 49 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 49 units is mean-outcome(FD1965).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1965, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 45 units with mass 1/5; value 49 units with mass 3/5; value 53 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 49 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1965, the probability-weighted arithmetic mean is 49 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-033-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"45":"1/5","49":"3/5","53":"1/5"},"mean":"49","modes":["49"],"value":"49"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1966, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 47 units with mass 1/5; value 51 units with mass 3/5; value 55 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 53 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 53 units is mean-outcome(FD1966).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1966, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 47 units with mass 1/5; value 51 units with mass 3/5; value 55 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 53 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1966, the probability-weighted arithmetic mean is 53 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-034-0014","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"47":"1/5","51":"3/5","55":"1/5"},"mean":"51","modes":["51"],"value":"53"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1967, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 49 units with mass 1/5; value 53 units with mass 3/5; value 57 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 53 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 53 units is mean-outcome(FD1967).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1967, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 49 units with mass 1/5; value 53 units with mass 3/5; value 57 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 53 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1967, the probability-weighted arithmetic mean is 53 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-035-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"49":"1/5","53":"3/5","57":"1/5"},"mean":"53","modes":["53"],"value":"53"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1968, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 51 units with mass 1/5; value 55 units with mass 3/5; value 59 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 57 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 57 units is mean-outcome(FD1968).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1968, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 51 units with mass 1/5; value 55 units with mass 3/5; value 59 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 57 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1968, the probability-weighted arithmetic mean is 57 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-036-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"51":"1/5","55":"3/5","59":"1/5"},"mean":"55","modes":["55"],"value":"57"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1970, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 45 units with mass 1/6; value 51 units with mass 1/3; value 51 units with mass 1/3; value 57 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 51 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 51 units is mean-outcome(FD1970).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1970, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 45 units with mass 1/6; value 51 units with mass 1/3; value 51 units with mass 1/3; value 57 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 51 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1970, the probability-weighted arithmetic mean is 51 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-037-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"45":"1/6","51":"2/3","57":"1/6"},"mean":"51","modes":["51"],"value":"51"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1971, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 47 units with mass 1/6; value 53 units with mass 1/3; value 53 units with mass 1/3; value 59 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 55 units is mean-outcome(FD1971).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1971, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 47 units with mass 1/6; value 53 units with mass 1/3; value 53 units with mass 1/3; value 59 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1971, the probability-weighted arithmetic mean is 55 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-038-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"47":"1/6","53":"2/3","59":"1/6"},"mean":"53","modes":["53"],"value":"55"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1972, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 49 units with mass 1/6; value 55 units with mass 1/3; value 55 units with mass 1/3; value 61 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 55 units is mean-outcome(FD1972).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1972, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 49 units with mass 1/6; value 55 units with mass 1/3; value 55 units with mass 1/3; value 61 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1972, the probability-weighted arithmetic mean is 55 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-039-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"49":"1/6","55":"2/3","61":"1/6"},"mean":"55","modes":["55"],"value":"55"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1973, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 51 units with mass 1/6; value 57 units with mass 1/3; value 57 units with mass 1/3; value 63 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 59 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 59 units is mean-outcome(FD1973).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1973, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 51 units with mass 1/6; value 57 units with mass 1/3; value 57 units with mass 1/3; value 63 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 59 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1973, the probability-weighted arithmetic mean is 59 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-040-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"51":"1/6","57":"2/3","63":"1/6"},"mean":"57","modes":["57"],"value":"59"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2000, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 1/3; value 96 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 93 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 93 units is mean-outcome(AY2000).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2000, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 1/3; value 96 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 93 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2000, the probability-weighted arithmetic mean is 93 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-041-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"87":"1/3","96":"2/3"},"mean":"93","modes":["96"],"value":"93"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2001, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 1/3; value 98 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 97 units is mean-outcome(AY2001).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2001, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 1/3; value 98 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2001, the probability-weighted arithmetic mean is 97 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-042-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"89":"1/3","98":"2/3"},"mean":"95","modes":["98"],"value":"97"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2002, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 1/3; value 100 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 97 units is mean-outcome(AY2002).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2002, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 1/3; value 100 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2002, the probability-weighted arithmetic mean is 97 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-043-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"100":"2/3","91":"1/3"},"mean":"97","modes":["100"],"value":"97"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2003, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 93 units with mass 1/3; value 102 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 101 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 101 units is mean-outcome(AY2003).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2003, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 93 units with mass 1/3; value 102 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 101 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2003, the probability-weighted arithmetic mean is 101 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-044-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"102":"2/3","93":"1/3"},"mean":"99","modes":["102"],"value":"101"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2005, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 85 units with mass 5/12; value 88 units with mass 1/3; value 93 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 88 units is mean-outcome(AY2005).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2005, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 85 units with mass 5/12; value 88 units with mass 1/3; value 93 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 88 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2005, the probability-weighted arithmetic mean is 88 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-045-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"85":"5/12","88":"1/3","93":"1/4"},"mean":"88","modes":["85"],"value":"88"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2006, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 5/12; value 90 units with mass 1/3; value 95 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 92 units is mean-outcome(AY2006).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2006, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 5/12; value 90 units with mass 1/3; value 95 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2006, the probability-weighted arithmetic mean is 92 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-046-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"87":"5/12","90":"1/3","95":"1/4"},"mean":"90","modes":["87"],"value":"92"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2007, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 5/12; value 92 units with mass 1/3; value 97 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 92 units is mean-outcome(AY2007).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2007, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 5/12; value 92 units with mass 1/3; value 97 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2007, the probability-weighted arithmetic mean is 92 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-047-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"89":"5/12","92":"1/3","97":"1/4"},"mean":"92","modes":["89"],"value":"92"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2008, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 5/12; value 94 units with mass 1/3; value 99 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 96 units is mean-outcome(AY2008).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2008, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 5/12; value 94 units with mass 1/3; value 99 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2008, the probability-weighted arithmetic mean is 96 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-048-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"91":"5/12","94":"1/3","99":"1/4"},"mean":"94","modes":["91"],"value":"96"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2010, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 3/8; value 91 units with mass 3/8; value 95 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 181/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 181/2 units is mean-outcome(AY2010).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2010, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 3/8; value 91 units with mass 3/8; value 95 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 181/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2010, the probability-weighted arithmetic mean is 181/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-049-0009","options":["Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"87":"3/8","91":"3/8","95":"1/4"},"mean":"181/2","modes":["87","91"],"value":"181/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2011, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 3/8; value 93 units with mass 3/8; value 97 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 189/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 189/2 units is mean-outcome(AY2011).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2011, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 3/8; value 93 units with mass 3/8; value 97 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 189/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2011, the probability-weighted arithmetic mean is 189/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-050-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"89":"3/8","93":"3/8","97":"1/4"},"mean":"185/2","modes":["89","93"],"value":"189/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2012, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 3/8; value 95 units with mass 3/8; value 99 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 189/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 189/2 units is mean-outcome(AY2012).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2012, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 3/8; value 95 units with mass 3/8; value 99 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 189/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2012, the probability-weighted arithmetic mean is 189/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-051-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"91":"3/8","95":"3/8","99":"1/4"},"mean":"189/2","modes":["91","95"],"value":"189/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2013, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 93 units with mass 3/8; value 97 units with mass 3/8; value 101 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 197/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 197/2 units is mean-outcome(AY2013).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2013, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 93 units with mass 3/8; value 97 units with mass 3/8; value 101 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 197/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2013, the probability-weighted arithmetic mean is 197/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-052-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"101":"1/4","93":"3/8","97":"3/8"},"mean":"193/2","modes":["93","97"],"value":"197/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2015, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 86 units with mass 1/5; value 90 units with mass 3/5; value 94 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 90 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 90 units is mean-outcome(AY2015).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2015, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 86 units with mass 1/5; value 90 units with mass 3/5; value 94 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 90 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2015, the probability-weighted arithmetic mean is 90 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-053-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"86":"1/5","90":"3/5","94":"1/5"},"mean":"90","modes":["90"],"value":"90"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2016, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 88 units with mass 1/5; value 92 units with mass 3/5; value 96 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is mean-outcome(AY2016).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2016, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 88 units with mass 1/5; value 92 units with mass 3/5; value 96 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2016, the probability-weighted arithmetic mean is 94 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-054-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"88":"1/5","92":"3/5","96":"1/5"},"mean":"92","modes":["92"],"value":"94"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2017, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 90 units with mass 1/5; value 94 units with mass 3/5; value 98 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is mean-outcome(AY2017).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2017, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 90 units with mass 1/5; value 94 units with mass 3/5; value 98 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2017, the probability-weighted arithmetic mean is 94 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-055-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"90":"1/5","94":"3/5","98":"1/5"},"mean":"94","modes":["94"],"value":"94"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2018, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 92 units with mass 1/5; value 96 units with mass 3/5; value 100 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 98 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 98 units is mean-outcome(AY2018).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2018, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 92 units with mass 1/5; value 96 units with mass 3/5; value 100 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 98 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2018, the probability-weighted arithmetic mean is 98 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-056-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"100":"1/5","92":"1/5","96":"3/5"},"mean":"96","modes":["96"],"value":"98"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2020, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 86 units with mass 1/6; value 92 units with mass 1/3; value 92 units with mass 1/3; value 98 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 92 units is mean-outcome(AY2020).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2020, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 86 units with mass 1/6; value 92 units with mass 1/3; value 92 units with mass 1/3; value 98 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2020, the probability-weighted arithmetic mean is 92 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-057-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"86":"1/6","92":"2/3","98":"1/6"},"mean":"92","modes":["92"],"value":"92"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2021, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 88 units with mass 1/6; value 94 units with mass 1/3; value 94 units with mass 1/3; value 100 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 96 units is mean-outcome(AY2021).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2021, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 88 units with mass 1/6; value 94 units with mass 1/3; value 94 units with mass 1/3; value 100 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2021, the probability-weighted arithmetic mean is 96 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-058-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"100":"1/6","88":"1/6","94":"2/3"},"mean":"94","modes":["94"],"value":"96"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2022, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 90 units with mass 1/6; value 96 units with mass 1/3; value 96 units with mass 1/3; value 102 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 96 units is mean-outcome(AY2022).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2022, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 90 units with mass 1/6; value 96 units with mass 1/3; value 96 units with mass 1/3; value 102 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2022, the probability-weighted arithmetic mean is 96 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-059-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"102":"1/6","90":"1/6","96":"2/3"},"mean":"96","modes":["96"],"value":"96"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2023, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 92 units with mass 1/6; value 98 units with mass 1/3; value 98 units with mass 1/3; value 104 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 100 units is mean-outcome(AY2023).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2023, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 92 units with mass 1/6; value 98 units with mass 1/3; value 98 units with mass 1/3; value 104 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2023, the probability-weighted arithmetic mean is 100 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-060-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"104":"1/6","92":"1/6","98":"2/3"},"mean":"98","modes":["98"],"value":"100"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2050, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 1/3; value 137 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 134 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 134 units is mean-outcome(HM2050).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2050, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 1/3; value 137 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 134 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2050, the probability-weighted arithmetic mean is 134 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-061-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"128":"1/3","137":"2/3"},"mean":"134","modes":["137"],"value":"134"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2051, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 1/3; value 139 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 138 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 138 units is mean-outcome(HM2051).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2051, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 1/3; value 139 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 138 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2051, the probability-weighted arithmetic mean is 138 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-062-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"130":"1/3","139":"2/3"},"mean":"136","modes":["139"],"value":"138"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2052, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 1/3; value 141 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 138 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 138 units is mean-outcome(HM2052).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2052, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 1/3; value 141 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 138 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2052, the probability-weighted arithmetic mean is 138 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-063-0013","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"132":"1/3","141":"2/3"},"mean":"138","modes":["141"],"value":"138"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2053, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 134 units with mass 1/3; value 143 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 142 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 142 units is mean-outcome(HM2053).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2053, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 134 units with mass 1/3; value 143 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 142 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2053, the probability-weighted arithmetic mean is 142 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-064-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"134":"1/3","143":"2/3"},"mean":"140","modes":["143"],"value":"142"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2055, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 126 units with mass 5/12; value 129 units with mass 1/3; value 134 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 129 units is mean-outcome(HM2055).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2055, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 126 units with mass 5/12; value 129 units with mass 1/3; value 134 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2055, the probability-weighted arithmetic mean is 129 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-065-0001","options":["Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"126":"5/12","129":"1/3","134":"1/4"},"mean":"129","modes":["126"],"value":"129"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2056, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 5/12; value 131 units with mass 1/3; value 136 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 133 units is mean-outcome(HM2056).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2056, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 5/12; value 131 units with mass 1/3; value 136 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2056, the probability-weighted arithmetic mean is 133 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-066-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"128":"5/12","131":"1/3","136":"1/4"},"mean":"131","modes":["128"],"value":"133"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2057, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 5/12; value 133 units with mass 1/3; value 138 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 133 units is mean-outcome(HM2057).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2057, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 5/12; value 133 units with mass 1/3; value 138 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2057, the probability-weighted arithmetic mean is 133 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-067-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"130":"5/12","133":"1/3","138":"1/4"},"mean":"133","modes":["130"],"value":"133"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2058, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 5/12; value 135 units with mass 1/3; value 140 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 137 units is mean-outcome(HM2058).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2058, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 5/12; value 135 units with mass 1/3; value 140 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2058, the probability-weighted arithmetic mean is 137 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-068-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"132":"5/12","135":"1/3","140":"1/4"},"mean":"135","modes":["132"],"value":"137"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2060, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 3/8; value 132 units with mass 3/8; value 136 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 263/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 263/2 units is mean-outcome(HM2060).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2060, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 3/8; value 132 units with mass 3/8; value 136 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 263/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2060, the probability-weighted arithmetic mean is 263/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-069-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"128":"3/8","132":"3/8","136":"1/4"},"mean":"263/2","modes":["128","132"],"value":"263/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2061, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 3/8; value 134 units with mass 3/8; value 138 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 271/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 271/2 units is mean-outcome(HM2061).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2061, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 3/8; value 134 units with mass 3/8; value 138 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 271/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2061, the probability-weighted arithmetic mean is 271/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-070-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"130":"3/8","134":"3/8","138":"1/4"},"mean":"267/2","modes":["130","134"],"value":"271/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2062, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 3/8; value 136 units with mass 3/8; value 140 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 271/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 271/2 units is mean-outcome(HM2062).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2062, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 3/8; value 136 units with mass 3/8; value 140 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 271/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2062, the probability-weighted arithmetic mean is 271/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-071-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"132":"3/8","136":"3/8","140":"1/4"},"mean":"271/2","modes":["132","136"],"value":"271/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2063, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 134 units with mass 3/8; value 138 units with mass 3/8; value 142 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 279/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 279/2 units is mean-outcome(HM2063).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2063, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 134 units with mass 3/8; value 138 units with mass 3/8; value 142 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 279/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2063, the probability-weighted arithmetic mean is 279/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-072-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"134":"3/8","138":"3/8","142":"1/4"},"mean":"275/2","modes":["134","138"],"value":"279/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2065, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 127 units with mass 1/5; value 131 units with mass 3/5; value 135 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 131 units is mean-outcome(HM2065).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2065, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 127 units with mass 1/5; value 131 units with mass 3/5; value 135 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2065, the probability-weighted arithmetic mean is 131 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-073-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"127":"1/5","131":"3/5","135":"1/5"},"mean":"131","modes":["131"],"value":"131"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2066, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 129 units with mass 1/5; value 133 units with mass 3/5; value 137 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 135 units is mean-outcome(HM2066).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2066, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 129 units with mass 1/5; value 133 units with mass 3/5; value 137 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2066, the probability-weighted arithmetic mean is 135 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-074-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"129":"1/5","133":"3/5","137":"1/5"},"mean":"133","modes":["133"],"value":"135"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2067, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 131 units with mass 1/5; value 135 units with mass 3/5; value 139 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 135 units is mean-outcome(HM2067).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2067, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 131 units with mass 1/5; value 135 units with mass 3/5; value 139 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2067, the probability-weighted arithmetic mean is 135 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-075-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"131":"1/5","135":"3/5","139":"1/5"},"mean":"135","modes":["135"],"value":"135"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2068, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 133 units with mass 1/5; value 137 units with mass 3/5; value 141 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 139 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 139 units is mean-outcome(HM2068).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2068, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 133 units with mass 1/5; value 137 units with mass 3/5; value 141 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 139 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2068, the probability-weighted arithmetic mean is 139 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-076-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"133":"1/5","137":"3/5","141":"1/5"},"mean":"137","modes":["137"],"value":"139"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2070, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 127 units with mass 1/6; value 133 units with mass 1/3; value 133 units with mass 1/3; value 139 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 133 units is mean-outcome(HM2070).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2070, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 127 units with mass 1/6; value 133 units with mass 1/3; value 133 units with mass 1/3; value 139 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2070, the probability-weighted arithmetic mean is 133 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-077-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"127":"1/6","133":"2/3","139":"1/6"},"mean":"133","modes":["133"],"value":"133"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2071, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 129 units with mass 1/6; value 135 units with mass 1/3; value 135 units with mass 1/3; value 141 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 137 units is mean-outcome(HM2071).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2071, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 129 units with mass 1/6; value 135 units with mass 1/3; value 135 units with mass 1/3; value 141 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2071, the probability-weighted arithmetic mean is 137 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-078-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"129":"1/6","135":"2/3","141":"1/6"},"mean":"135","modes":["135"],"value":"137"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2072, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 131 units with mass 1/6; value 137 units with mass 1/3; value 137 units with mass 1/3; value 143 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 137 units is mean-outcome(HM2072).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2072, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 131 units with mass 1/6; value 137 units with mass 1/3; value 137 units with mass 1/3; value 143 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2072, the probability-weighted arithmetic mean is 137 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-079-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"131":"1/6","137":"2/3","143":"1/6"},"mean":"137","modes":["137"],"value":"137"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2073, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 133 units with mass 1/6; value 139 units with mass 1/3; value 139 units with mass 1/3; value 145 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 141 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 141 units is mean-outcome(HM2073).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2073, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 133 units with mass 1/6; value 139 units with mass 1/3; value 139 units with mass 1/3; value 145 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 141 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2073, the probability-weighted arithmetic mean is 141 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-080-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"133":"1/6","139":"2/3","145":"1/6"},"mean":"139","modes":["139"],"value":"141"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2100, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 1/3; value 178 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 175 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 175 units is mean-outcome(PL2100).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2100, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 1/3; value 178 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 175 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2100, the probability-weighted arithmetic mean is 175 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-081-0001","options":["Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"169":"1/3","178":"2/3"},"mean":"175","modes":["178"],"value":"175"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2101, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 1/3; value 180 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 179 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 179 units is mean-outcome(PL2101).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2101, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 1/3; value 180 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 179 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2101, the probability-weighted arithmetic mean is 179 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-082-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"171":"1/3","180":"2/3"},"mean":"177","modes":["180"],"value":"179"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2102, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 1/3; value 182 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 179 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 179 units is mean-outcome(PL2102).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2102, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 1/3; value 182 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 179 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2102, the probability-weighted arithmetic mean is 179 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-083-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"173":"1/3","182":"2/3"},"mean":"179","modes":["182"],"value":"179"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2103, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 175 units with mass 1/3; value 184 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 183 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 183 units is mean-outcome(PL2103).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2103, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 175 units with mass 1/3; value 184 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 183 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2103, the probability-weighted arithmetic mean is 183 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-084-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"175":"1/3","184":"2/3"},"mean":"181","modes":["184"],"value":"183"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2105, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 167 units with mass 5/12; value 170 units with mass 1/3; value 175 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 170 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 170 units is mean-outcome(PL2105).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2105, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 167 units with mass 5/12; value 170 units with mass 1/3; value 175 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 170 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2105, the probability-weighted arithmetic mean is 170 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-085-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"167":"5/12","170":"1/3","175":"1/4"},"mean":"170","modes":["167"],"value":"170"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2106, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 5/12; value 172 units with mass 1/3; value 177 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 174 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 174 units is mean-outcome(PL2106).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2106, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 5/12; value 172 units with mass 1/3; value 177 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 174 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2106, the probability-weighted arithmetic mean is 174 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-086-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"169":"5/12","172":"1/3","177":"1/4"},"mean":"172","modes":["169"],"value":"174"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2107, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 5/12; value 174 units with mass 1/3; value 179 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 174 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 174 units is mean-outcome(PL2107).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2107, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 5/12; value 174 units with mass 1/3; value 179 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 174 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2107, the probability-weighted arithmetic mean is 174 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-087-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"171":"5/12","174":"1/3","179":"1/4"},"mean":"174","modes":["171"],"value":"174"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2108, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 5/12; value 176 units with mass 1/3; value 181 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 178 units is mean-outcome(PL2108).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2108, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 5/12; value 176 units with mass 1/3; value 181 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2108, the probability-weighted arithmetic mean is 178 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-088-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"173":"5/12","176":"1/3","181":"1/4"},"mean":"176","modes":["173"],"value":"178"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2110, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 3/8; value 173 units with mass 3/8; value 177 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 345/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 345/2 units is mean-outcome(PL2110).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2110, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 3/8; value 173 units with mass 3/8; value 177 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 345/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2110, the probability-weighted arithmetic mean is 345/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-089-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"169":"3/8","173":"3/8","177":"1/4"},"mean":"345/2","modes":["169","173"],"value":"345/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2111, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 3/8; value 175 units with mass 3/8; value 179 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 353/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 353/2 units is mean-outcome(PL2111).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2111, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 3/8; value 175 units with mass 3/8; value 179 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 353/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2111, the probability-weighted arithmetic mean is 353/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-090-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"171":"3/8","175":"3/8","179":"1/4"},"mean":"349/2","modes":["171","175"],"value":"353/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2112, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 3/8; value 177 units with mass 3/8; value 181 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 353/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 353/2 units is mean-outcome(PL2112).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2112, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 3/8; value 177 units with mass 3/8; value 181 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 353/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2112, the probability-weighted arithmetic mean is 353/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-091-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"173":"3/8","177":"3/8","181":"1/4"},"mean":"353/2","modes":["173","177"],"value":"353/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2113, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 175 units with mass 3/8; value 179 units with mass 3/8; value 183 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 361/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 361/2 units is mean-outcome(PL2113).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2113, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 175 units with mass 3/8; value 179 units with mass 3/8; value 183 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 361/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2113, the probability-weighted arithmetic mean is 361/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-092-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"175":"3/8","179":"3/8","183":"1/4"},"mean":"357/2","modes":["175","179"],"value":"361/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2115, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 168 units with mass 1/5; value 172 units with mass 3/5; value 176 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 172 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 172 units is mean-outcome(PL2115).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2115, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 168 units with mass 1/5; value 172 units with mass 3/5; value 176 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 172 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2115, the probability-weighted arithmetic mean is 172 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-093-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"168":"1/5","172":"3/5","176":"1/5"},"mean":"172","modes":["172"],"value":"172"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2116, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 170 units with mass 1/5; value 174 units with mass 3/5; value 178 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 176 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 176 units is mean-outcome(PL2116).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2116, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 170 units with mass 1/5; value 174 units with mass 3/5; value 178 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 176 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2116, the probability-weighted arithmetic mean is 176 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-094-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"170":"1/5","174":"3/5","178":"1/5"},"mean":"174","modes":["174"],"value":"176"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2117, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 172 units with mass 1/5; value 176 units with mass 3/5; value 180 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 176 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 176 units is mean-outcome(PL2117).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2117, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 172 units with mass 1/5; value 176 units with mass 3/5; value 180 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 176 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2117, the probability-weighted arithmetic mean is 176 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-095-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"172":"1/5","176":"3/5","180":"1/5"},"mean":"176","modes":["176"],"value":"176"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2118, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 174 units with mass 1/5; value 178 units with mass 3/5; value 182 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 180 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 180 units is mean-outcome(PL2118).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2118, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 174 units with mass 1/5; value 178 units with mass 3/5; value 182 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 180 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2118, the probability-weighted arithmetic mean is 180 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-096-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"174":"1/5","178":"3/5","182":"1/5"},"mean":"178","modes":["178"],"value":"180"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2120, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 168 units with mass 1/6; value 174 units with mass 1/3; value 174 units with mass 1/3; value 180 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 174 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 174 units is mean-outcome(PL2120).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2120, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 168 units with mass 1/6; value 174 units with mass 1/3; value 174 units with mass 1/3; value 180 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 174 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2120, the probability-weighted arithmetic mean is 174 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-097-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"168":"1/6","174":"2/3","180":"1/6"},"mean":"174","modes":["174"],"value":"174"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2121, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 170 units with mass 1/6; value 176 units with mass 1/3; value 176 units with mass 1/3; value 182 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 178 units is mean-outcome(PL2121).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2121, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 170 units with mass 1/6; value 176 units with mass 1/3; value 176 units with mass 1/3; value 182 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2121, the probability-weighted arithmetic mean is 178 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-098-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"170":"1/6","176":"2/3","182":"1/6"},"mean":"176","modes":["176"],"value":"178"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2122, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 172 units with mass 1/6; value 178 units with mass 1/3; value 178 units with mass 1/3; value 184 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 178 units is mean-outcome(PL2122).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2122, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 172 units with mass 1/6; value 178 units with mass 1/3; value 178 units with mass 1/3; value 184 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2122, the probability-weighted arithmetic mean is 178 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-099-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"172":"1/6","178":"2/3","184":"1/6"},"mean":"178","modes":["178"],"value":"178"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2123, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 174 units with mass 1/6; value 180 units with mass 1/3; value 180 units with mass 1/3; value 186 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 182 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 182 units is mean-outcome(PL2123).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2123, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 174 units with mass 1/6; value 180 units with mass 1/3; value 180 units with mass 1/3; value 186 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 182 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2123, the probability-weighted arithmetic mean is 182 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-100-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"174":"1/6","180":"2/3","186":"1/6"},"mean":"180","modes":["180"],"value":"182"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2150, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 1/3; value 219 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 216 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 216 units is mean-outcome(RI2150).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2150, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 1/3; value 219 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 216 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2150, the probability-weighted arithmetic mean is 216 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-101-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"210":"1/3","219":"2/3"},"mean":"216","modes":["219"],"value":"216"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2151, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 1/3; value 221 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 220 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 220 units is mean-outcome(RI2151).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2151, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 1/3; value 221 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 220 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2151, the probability-weighted arithmetic mean is 220 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-102-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"212":"1/3","221":"2/3"},"mean":"218","modes":["221"],"value":"220"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2152, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 1/3; value 223 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 220 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 220 units is mean-outcome(RI2152).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2152, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 1/3; value 223 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 220 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2152, the probability-weighted arithmetic mean is 220 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-103-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"214":"1/3","223":"2/3"},"mean":"220","modes":["223"],"value":"220"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2153, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 216 units with mass 1/3; value 225 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 224 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 224 units is mean-outcome(RI2153).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2153, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 216 units with mass 1/3; value 225 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 224 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2153, the probability-weighted arithmetic mean is 224 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-104-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"216":"1/3","225":"2/3"},"mean":"222","modes":["225"],"value":"224"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2155, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 208 units with mass 5/12; value 211 units with mass 1/3; value 216 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 211 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 211 units is mean-outcome(RI2155).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2155, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 208 units with mass 5/12; value 211 units with mass 1/3; value 216 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 211 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2155, the probability-weighted arithmetic mean is 211 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-105-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"208":"5/12","211":"1/3","216":"1/4"},"mean":"211","modes":["208"],"value":"211"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2156, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 5/12; value 213 units with mass 1/3; value 218 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 215 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 215 units is mean-outcome(RI2156).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2156, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 5/12; value 213 units with mass 1/3; value 218 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 215 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2156, the probability-weighted arithmetic mean is 215 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-106-0009","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"210":"5/12","213":"1/3","218":"1/4"},"mean":"213","modes":["210"],"value":"215"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2157, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 5/12; value 215 units with mass 1/3; value 220 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 215 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 215 units is mean-outcome(RI2157).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2157, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 5/12; value 215 units with mass 1/3; value 220 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 215 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2157, the probability-weighted arithmetic mean is 215 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-107-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"212":"5/12","215":"1/3","220":"1/4"},"mean":"215","modes":["212"],"value":"215"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2158, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 5/12; value 217 units with mass 1/3; value 222 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 219 units is mean-outcome(RI2158).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2158, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 5/12; value 217 units with mass 1/3; value 222 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2158, the probability-weighted arithmetic mean is 219 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-108-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"214":"5/12","217":"1/3","222":"1/4"},"mean":"217","modes":["214"],"value":"219"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2160, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 3/8; value 214 units with mass 3/8; value 218 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 427/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 427/2 units is mean-outcome(RI2160).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2160, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 3/8; value 214 units with mass 3/8; value 218 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 427/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2160, the probability-weighted arithmetic mean is 427/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-109-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"210":"3/8","214":"3/8","218":"1/4"},"mean":"427/2","modes":["210","214"],"value":"427/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2161, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 3/8; value 216 units with mass 3/8; value 220 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 435/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 435/2 units is mean-outcome(RI2161).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2161, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 3/8; value 216 units with mass 3/8; value 220 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 435/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2161, the probability-weighted arithmetic mean is 435/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-110-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"212":"3/8","216":"3/8","220":"1/4"},"mean":"431/2","modes":["212","216"],"value":"435/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2162, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 3/8; value 218 units with mass 3/8; value 222 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 435/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 435/2 units is mean-outcome(RI2162).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2162, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 3/8; value 218 units with mass 3/8; value 222 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 435/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2162, the probability-weighted arithmetic mean is 435/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-111-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,false,false,false],"masses":{"214":"3/8","218":"3/8","222":"1/4"},"mean":"435/2","modes":["214","218"],"value":"435/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2163, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 216 units with mass 3/8; value 220 units with mass 3/8; value 224 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 443/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 443/2 units is mean-outcome(RI2163).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2163, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 216 units with mass 3/8; value 220 units with mass 3/8; value 224 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 443/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2163, the probability-weighted arithmetic mean is 443/2 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-112-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"216":"3/8","220":"3/8","224":"1/4"},"mean":"439/2","modes":["216","220"],"value":"443/2"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2165, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 209 units with mass 1/5; value 213 units with mass 3/5; value 217 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 213 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 213 units is mean-outcome(RI2165).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2165, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 209 units with mass 1/5; value 213 units with mass 3/5; value 217 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 213 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2165, the probability-weighted arithmetic mean is 213 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-113-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"209":"1/5","213":"3/5","217":"1/5"},"mean":"213","modes":["213"],"value":"213"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2166, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 211 units with mass 1/5; value 215 units with mass 3/5; value 219 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 217 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 217 units is mean-outcome(RI2166).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2166, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 211 units with mass 1/5; value 215 units with mass 3/5; value 219 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 217 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2166, the probability-weighted arithmetic mean is 217 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-114-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"211":"1/5","215":"3/5","219":"1/5"},"mean":"215","modes":["215"],"value":"217"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2167, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 213 units with mass 1/5; value 217 units with mass 3/5; value 221 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 217 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 217 units is mean-outcome(RI2167).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2167, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 213 units with mass 1/5; value 217 units with mass 3/5; value 221 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 217 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2167, the probability-weighted arithmetic mean is 217 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-115-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"213":"1/5","217":"3/5","221":"1/5"},"mean":"217","modes":["217"],"value":"217"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2168, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 215 units with mass 1/5; value 219 units with mass 3/5; value 223 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 221 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 221 units is mean-outcome(RI2168).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2168, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 215 units with mass 1/5; value 219 units with mass 3/5; value 223 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 221 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2168, the probability-weighted arithmetic mean is 221 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-116-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"215":"1/5","219":"3/5","223":"1/5"},"mean":"219","modes":["219"],"value":"221"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2170, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 209 units with mass 1/6; value 215 units with mass 1/3; value 215 units with mass 1/3; value 221 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 215 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 215 units is mean-outcome(RI2170).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2170, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 209 units with mass 1/6; value 215 units with mass 1/3; value 215 units with mass 1/3; value 221 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 215 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2170, the probability-weighted arithmetic mean is 215 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-117-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"209":"1/6","215":"2/3","221":"1/6"},"mean":"215","modes":["215"],"value":"215"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2171, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 211 units with mass 1/6; value 217 units with mass 1/3; value 217 units with mass 1/3; value 223 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 219 units is mean-outcome(RI2171).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2171, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 211 units with mass 1/6; value 217 units with mass 1/3; value 217 units with mass 1/3; value 223 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2171, the probability-weighted arithmetic mean is 219 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-118-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"211":"1/6","217":"2/3","223":"1/6"},"mean":"217","modes":["217"],"value":"219"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2172, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 213 units with mass 1/6; value 219 units with mass 1/3; value 219 units with mass 1/3; value 225 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 219 units is mean-outcome(RI2172).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2172, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 213 units with mass 1/6; value 219 units with mass 1/3; value 219 units with mass 1/3; value 225 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2172, the probability-weighted arithmetic mean is 219 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-119-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"213":"1/6","219":"2/3","225":"1/6"},"mean":"219","modes":["219"],"value":"219"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2173, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 215 units with mass 1/6; value 221 units with mass 1/3; value 221 units with mass 1/3; value 227 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 223 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 223 units is mean-outcome(RI2173).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2173, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 215 units with mass 1/6; value 221 units with mass 1/3; value 221 units with mass 1/3; value 227 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 223 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2173, the probability-weighted arithmetic mean is 223 units.","id":"SAT-OUTCOME-CAREFUL-20260919-mean-outcome-120-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"215":"1/6","221":"2/3","227":"1/6"},"mean":"221","modes":["221"],"value":"223"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"mean-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1900, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 1/3; value 14 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 14 units is likeliest-outcome(BD1900).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1900, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 1/3; value 14 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1900, 14 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-001-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"14":"2/3","5":"1/3"},"mean":"11","modes":["14"],"value":"14"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1901, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 1/3; value 16 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 18 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 18 units is likeliest-outcome(BD1901).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1901, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 1/3; value 16 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 18 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1901, 18 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-002-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"16":"2/3","7":"1/3"},"mean":"13","modes":["16"],"value":"18"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1902, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 1/3; value 18 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 18 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 18 units is likeliest-outcome(BD1902).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1902, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 1/3; value 18 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 18 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1902, 18 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-003-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"18":"2/3","9":"1/3"},"mean":"15","modes":["18"],"value":"18"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1903, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 11 units with mass 1/3; value 20 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 22 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 22 units is likeliest-outcome(BD1903).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1903, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 11 units with mass 1/3; value 20 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 22 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1903, 22 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-004-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"11":"1/3","20":"2/3"},"mean":"17","modes":["20"],"value":"22"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1905, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 3 units with mass 5/12; value 6 units with mass 1/3; value 11 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 3 units is likeliest-outcome(BD1905).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1905, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 3 units with mass 5/12; value 6 units with mass 1/3; value 11 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 3 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1905, 3 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-005-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"11":"1/4","3":"5/12","6":"1/3"},"mean":"6","modes":["3"],"value":"3"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1906, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 5/12; value 8 units with mass 1/3; value 13 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is likeliest-outcome(BD1906).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1906, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 5/12; value 8 units with mass 1/3; value 13 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1906, 7 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-006-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"13":"1/4","5":"5/12","8":"1/3"},"mean":"8","modes":["5"],"value":"7"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1907, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 5/12; value 10 units with mass 1/3; value 15 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is likeliest-outcome(BD1907).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1907, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 5/12; value 10 units with mass 1/3; value 15 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1907, 7 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-007-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"10":"1/3","15":"1/4","7":"5/12"},"mean":"10","modes":["7"],"value":"7"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1908, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 5/12; value 12 units with mass 1/3; value 17 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 11 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 11 units is likeliest-outcome(BD1908).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1908, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 5/12; value 12 units with mass 1/3; value 17 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 11 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1908, 11 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-008-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"12":"1/3","17":"1/4","9":"5/12"},"mean":"12","modes":["9"],"value":"11"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1910, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 3/8; value 9 units with mass 3/8; value 13 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 9 units is likeliest-outcome(BD1910).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1910, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 5 units with mass 3/8; value 9 units with mass 3/8; value 13 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1910, 9 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-009-0000","options":["Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"13":"1/4","5":"3/8","9":"3/8"},"mean":"17/2","modes":["5","9"],"value":"9"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1911, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 3/8; value 11 units with mass 3/8; value 15 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 13 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 13 units is likeliest-outcome(BD1911).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1911, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 7 units with mass 3/8; value 11 units with mass 3/8; value 15 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 13 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1911, 13 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-010-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"11":"3/8","15":"1/4","7":"3/8"},"mean":"21/2","modes":["7","11"],"value":"13"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1912, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 3/8; value 13 units with mass 3/8; value 17 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 13 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 13 units is likeliest-outcome(BD1912).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1912, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 9 units with mass 3/8; value 13 units with mass 3/8; value 17 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 13 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1912, 13 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-011-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"13":"3/8","17":"1/4","9":"3/8"},"mean":"25/2","modes":["9","13"],"value":"13"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1913, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 11 units with mass 3/8; value 15 units with mass 3/8; value 19 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 17 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 17 units is likeliest-outcome(BD1913).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1913, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 11 units with mass 3/8; value 15 units with mass 3/8; value 19 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 17 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1913, 17 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-012-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"11":"3/8","15":"3/8","19":"1/4"},"mean":"29/2","modes":["11","15"],"value":"17"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1915, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 4 units with mass 1/5; value 8 units with mass 3/5; value 12 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is likeliest-outcome(BD1915).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1915, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 4 units with mass 1/5; value 8 units with mass 3/5; value 12 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1915, 8 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-013-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"12":"1/5","4":"1/5","8":"3/5"},"mean":"8","modes":["8"],"value":"8"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1916, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 6 units with mass 1/5; value 10 units with mass 3/5; value 14 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 12 units is likeliest-outcome(BD1916).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1916, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 6 units with mass 1/5; value 10 units with mass 3/5; value 14 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1916, 12 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-014-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"10":"3/5","14":"1/5","6":"1/5"},"mean":"10","modes":["10"],"value":"12"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1917, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 8 units with mass 1/5; value 12 units with mass 3/5; value 16 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 12 units is likeliest-outcome(BD1917).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1917, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 8 units with mass 1/5; value 12 units with mass 3/5; value 16 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1917, 12 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-015-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"12":"3/5","16":"1/5","8":"1/5"},"mean":"12","modes":["12"],"value":"12"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1918, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 10 units with mass 1/5; value 14 units with mass 3/5; value 18 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 16 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 16 units is likeliest-outcome(BD1918).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1918, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 10 units with mass 1/5; value 14 units with mass 3/5; value 18 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 16 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1918, 16 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-016-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"10":"1/5","14":"3/5","18":"1/5"},"mean":"14","modes":["14"],"value":"16"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1920, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 4 units with mass 1/6; value 10 units with mass 1/3; value 10 units with mass 1/3; value 16 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 10 units is likeliest-outcome(BD1920).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1920, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 4 units with mass 1/6; value 10 units with mass 1/3; value 10 units with mass 1/3; value 16 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1920, 10 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-017-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"10":"2/3","16":"1/6","4":"1/6"},"mean":"10","modes":["10"],"value":"10"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1921, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 6 units with mass 1/6; value 12 units with mass 1/3; value 12 units with mass 1/3; value 18 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 14 units is likeliest-outcome(BD1921).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1921, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 6 units with mass 1/6; value 12 units with mass 1/3; value 12 units with mass 1/3; value 18 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1921, 14 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-018-0016","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"12":"2/3","18":"1/6","6":"1/6"},"mean":"12","modes":["12"],"value":"14"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1922, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 8 units with mass 1/6; value 14 units with mass 1/3; value 14 units with mass 1/3; value 20 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 14 units is likeliest-outcome(BD1922).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1922, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 8 units with mass 1/6; value 14 units with mass 1/3; value 14 units with mass 1/3; value 20 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 14 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1922, 14 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-019-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"14":"2/3","20":"1/6","8":"1/6"},"mean":"14","modes":["14"],"value":"14"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1923, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 10 units with mass 1/6; value 16 units with mass 1/3; value 16 units with mass 1/3; value 22 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 18 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 18 units is likeliest-outcome(BD1923).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"battery discharge","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional battery discharge model BD1923, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 10 units with mass 1/6; value 16 units with mass 1/3; value 16 units with mass 1/3; value 22 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 18 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under BD1923, 18 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-020-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"10":"1/6","16":"2/3","22":"1/6"},"mean":"16","modes":["16"],"value":"18"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1950, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 1/3; value 55 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 55 units is likeliest-outcome(FD1950).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1950, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 1/3; value 55 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1950, 55 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-021-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"46":"1/3","55":"2/3"},"mean":"52","modes":["55"],"value":"55"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1951, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 1/3; value 57 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 59 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 59 units is likeliest-outcome(FD1951).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1951, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 1/3; value 57 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 59 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1951, 59 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-022-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"48":"1/3","57":"2/3"},"mean":"54","modes":["57"],"value":"59"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1952, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 1/3; value 59 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 59 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 59 units is likeliest-outcome(FD1952).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1952, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 1/3; value 59 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 59 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1952, 59 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-023-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"50":"1/3","59":"2/3"},"mean":"56","modes":["59"],"value":"59"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1953, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 52 units with mass 1/3; value 61 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 63 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 63 units is likeliest-outcome(FD1953).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1953, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 52 units with mass 1/3; value 61 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 63 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1953, 63 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-024-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"52":"1/3","61":"2/3"},"mean":"58","modes":["61"],"value":"63"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1955, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 44 units with mass 5/12; value 47 units with mass 1/3; value 52 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 44 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 44 units is likeliest-outcome(FD1955).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1955, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 44 units with mass 5/12; value 47 units with mass 1/3; value 52 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 44 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1955, 44 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-025-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"44":"5/12","47":"1/3","52":"1/4"},"mean":"47","modes":["44"],"value":"44"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1956, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 5/12; value 49 units with mass 1/3; value 54 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 48 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 48 units is likeliest-outcome(FD1956).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1956, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 5/12; value 49 units with mass 1/3; value 54 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 48 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1956, 48 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-026-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"46":"5/12","49":"1/3","54":"1/4"},"mean":"49","modes":["46"],"value":"48"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1957, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 5/12; value 51 units with mass 1/3; value 56 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 48 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 48 units is likeliest-outcome(FD1957).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1957, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 5/12; value 51 units with mass 1/3; value 56 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 48 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1957, 48 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-027-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"48":"5/12","51":"1/3","56":"1/4"},"mean":"51","modes":["48"],"value":"48"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1958, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 5/12; value 53 units with mass 1/3; value 58 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 52 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 52 units is likeliest-outcome(FD1958).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1958, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 5/12; value 53 units with mass 1/3; value 58 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 52 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1958, 52 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-028-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"50":"5/12","53":"1/3","58":"1/4"},"mean":"53","modes":["50"],"value":"52"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1960, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 3/8; value 50 units with mass 3/8; value 54 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 50 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 50 units is likeliest-outcome(FD1960).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1960, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 46 units with mass 3/8; value 50 units with mass 3/8; value 54 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 50 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1960, 50 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-029-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"46":"3/8","50":"3/8","54":"1/4"},"mean":"99/2","modes":["46","50"],"value":"50"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1961, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 3/8; value 52 units with mass 3/8; value 56 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 54 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 54 units is likeliest-outcome(FD1961).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1961, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 48 units with mass 3/8; value 52 units with mass 3/8; value 56 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 54 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1961, 54 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-030-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"48":"3/8","52":"3/8","56":"1/4"},"mean":"103/2","modes":["48","52"],"value":"54"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1962, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 3/8; value 54 units with mass 3/8; value 58 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 54 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 54 units is likeliest-outcome(FD1962).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1962, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 50 units with mass 3/8; value 54 units with mass 3/8; value 58 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 54 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1962, 54 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-031-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"50":"3/8","54":"3/8","58":"1/4"},"mean":"107/2","modes":["50","54"],"value":"54"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1963, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 52 units with mass 3/8; value 56 units with mass 3/8; value 60 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 58 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 58 units is likeliest-outcome(FD1963).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1963, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 52 units with mass 3/8; value 56 units with mass 3/8; value 60 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 58 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1963, 58 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-032-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"52":"3/8","56":"3/8","60":"1/4"},"mean":"111/2","modes":["52","56"],"value":"58"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1965, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 45 units with mass 1/5; value 49 units with mass 3/5; value 53 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 49 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 49 units is likeliest-outcome(FD1965).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1965, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 45 units with mass 1/5; value 49 units with mass 3/5; value 53 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 49 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1965, 49 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-033-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"45":"1/5","49":"3/5","53":"1/5"},"mean":"49","modes":["49"],"value":"49"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1966, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 47 units with mass 1/5; value 51 units with mass 3/5; value 55 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 53 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 53 units is likeliest-outcome(FD1966).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1966, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 47 units with mass 1/5; value 51 units with mass 3/5; value 55 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 53 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1966, 53 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-034-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"47":"1/5","51":"3/5","55":"1/5"},"mean":"51","modes":["51"],"value":"53"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1967, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 49 units with mass 1/5; value 53 units with mass 3/5; value 57 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 53 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 53 units is likeliest-outcome(FD1967).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1967, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 49 units with mass 1/5; value 53 units with mass 3/5; value 57 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 53 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1967, 53 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-035-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"49":"1/5","53":"3/5","57":"1/5"},"mean":"53","modes":["53"],"value":"53"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1968, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 51 units with mass 1/5; value 55 units with mass 3/5; value 59 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 57 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 57 units is likeliest-outcome(FD1968).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1968, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 51 units with mass 1/5; value 55 units with mass 3/5; value 59 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 57 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1968, 57 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-036-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"51":"1/5","55":"3/5","59":"1/5"},"mean":"55","modes":["55"],"value":"57"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1970, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 45 units with mass 1/6; value 51 units with mass 1/3; value 51 units with mass 1/3; value 57 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 51 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 51 units is likeliest-outcome(FD1970).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1970, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 45 units with mass 1/6; value 51 units with mass 1/3; value 51 units with mass 1/3; value 57 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 51 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1970, 51 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-037-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"45":"1/6","51":"2/3","57":"1/6"},"mean":"51","modes":["51"],"value":"51"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1971, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 47 units with mass 1/6; value 53 units with mass 1/3; value 53 units with mass 1/3; value 59 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 55 units is likeliest-outcome(FD1971).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1971, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 47 units with mass 1/6; value 53 units with mass 1/3; value 53 units with mass 1/3; value 59 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1971, 55 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-038-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"47":"1/6","53":"2/3","59":"1/6"},"mean":"53","modes":["53"],"value":"55"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1972, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 49 units with mass 1/6; value 55 units with mass 1/3; value 55 units with mass 1/3; value 61 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 55 units is likeliest-outcome(FD1972).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1972, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 49 units with mass 1/6; value 55 units with mass 1/3; value 55 units with mass 1/3; value 61 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 55 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1972, 55 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-039-0009","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"49":"1/6","55":"2/3","61":"1/6"},"mean":"55","modes":["55"],"value":"55"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1973, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 51 units with mass 1/6; value 57 units with mass 1/3; value 57 units with mass 1/3; value 63 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 59 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 59 units is likeliest-outcome(FD1973).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"flood depth","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional flood depth model FD1973, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 51 units with mass 1/6; value 57 units with mass 1/3; value 57 units with mass 1/3; value 63 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 59 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under FD1973, 59 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-040-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"51":"1/6","57":"2/3","63":"1/6"},"mean":"57","modes":["57"],"value":"59"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2000, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 1/3; value 96 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 96 units is likeliest-outcome(AY2000).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2000, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 1/3; value 96 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2000, 96 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-041-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"87":"1/3","96":"2/3"},"mean":"93","modes":["96"],"value":"96"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2001, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 1/3; value 98 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 100 units is likeliest-outcome(AY2001).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2001, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 1/3; value 98 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2001, 100 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-042-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"89":"1/3","98":"2/3"},"mean":"95","modes":["98"],"value":"100"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2002, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 1/3; value 100 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 100 units is likeliest-outcome(AY2002).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2002, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 1/3; value 100 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2002, 100 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-043-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"100":"2/3","91":"1/3"},"mean":"97","modes":["100"],"value":"100"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2003, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 93 units with mass 1/3; value 102 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 104 units is likeliest-outcome(AY2003).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2003, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 93 units with mass 1/3; value 102 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 104 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2003, 104 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-044-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"102":"2/3","93":"1/3"},"mean":"99","modes":["102"],"value":"104"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2005, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 85 units with mass 5/12; value 88 units with mass 1/3; value 93 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 85 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 85 units is likeliest-outcome(AY2005).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2005, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 85 units with mass 5/12; value 88 units with mass 1/3; value 93 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 85 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2005, 85 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-045-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"85":"5/12","88":"1/3","93":"1/4"},"mean":"88","modes":["85"],"value":"85"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2006, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 5/12; value 90 units with mass 1/3; value 95 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 89 units is likeliest-outcome(AY2006).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2006, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 5/12; value 90 units with mass 1/3; value 95 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2006, 89 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-046-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"87":"5/12","90":"1/3","95":"1/4"},"mean":"90","modes":["87"],"value":"89"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2007, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 5/12; value 92 units with mass 1/3; value 97 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 89 units is likeliest-outcome(AY2007).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2007, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 5/12; value 92 units with mass 1/3; value 97 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 89 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2007, 89 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-047-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"89":"5/12","92":"1/3","97":"1/4"},"mean":"92","modes":["89"],"value":"89"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2008, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 5/12; value 94 units with mass 1/3; value 99 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 93 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 93 units is likeliest-outcome(AY2008).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2008, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 5/12; value 94 units with mass 1/3; value 99 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 93 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2008, 93 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-048-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"91":"5/12","94":"1/3","99":"1/4"},"mean":"94","modes":["91"],"value":"93"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2010, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 3/8; value 91 units with mass 3/8; value 95 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 91 units is likeliest-outcome(AY2010).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2010, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 87 units with mass 3/8; value 91 units with mass 3/8; value 95 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 91 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2010, 91 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-049-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"87":"3/8","91":"3/8","95":"1/4"},"mean":"181/2","modes":["87","91"],"value":"91"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2011, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 3/8; value 93 units with mass 3/8; value 97 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 95 units is likeliest-outcome(AY2011).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2011, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 89 units with mass 3/8; value 93 units with mass 3/8; value 97 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2011, 95 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-050-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"89":"3/8","93":"3/8","97":"1/4"},"mean":"185/2","modes":["89","93"],"value":"95"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2012, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 3/8; value 95 units with mass 3/8; value 99 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 95 units is likeliest-outcome(AY2012).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2012, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 91 units with mass 3/8; value 95 units with mass 3/8; value 99 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2012, 95 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-051-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"91":"3/8","95":"3/8","99":"1/4"},"mean":"189/2","modes":["91","95"],"value":"95"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2013, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 93 units with mass 3/8; value 97 units with mass 3/8; value 101 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 99 units is likeliest-outcome(AY2013).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2013, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 93 units with mass 3/8; value 97 units with mass 3/8; value 101 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2013, 99 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-052-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"101":"1/4","93":"3/8","97":"3/8"},"mean":"193/2","modes":["93","97"],"value":"99"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2015, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 86 units with mass 1/5; value 90 units with mass 3/5; value 94 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 90 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 90 units is likeliest-outcome(AY2015).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2015, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 86 units with mass 1/5; value 90 units with mass 3/5; value 94 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 90 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2015, 90 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-053-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"86":"1/5","90":"3/5","94":"1/5"},"mean":"90","modes":["90"],"value":"90"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2016, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 88 units with mass 1/5; value 92 units with mass 3/5; value 96 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is likeliest-outcome(AY2016).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2016, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 88 units with mass 1/5; value 92 units with mass 3/5; value 96 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2016, 94 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-054-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"88":"1/5","92":"3/5","96":"1/5"},"mean":"92","modes":["92"],"value":"94"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2017, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 90 units with mass 1/5; value 94 units with mass 3/5; value 98 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is likeliest-outcome(AY2017).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2017, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 90 units with mass 1/5; value 94 units with mass 3/5; value 98 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2017, 94 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-055-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"90":"1/5","94":"3/5","98":"1/5"},"mean":"94","modes":["94"],"value":"94"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2018, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 92 units with mass 1/5; value 96 units with mass 3/5; value 100 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 98 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 98 units is likeliest-outcome(AY2018).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2018, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 92 units with mass 1/5; value 96 units with mass 3/5; value 100 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 98 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2018, 98 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-056-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"100":"1/5","92":"1/5","96":"3/5"},"mean":"96","modes":["96"],"value":"98"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2020, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 86 units with mass 1/6; value 92 units with mass 1/3; value 92 units with mass 1/3; value 98 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 92 units is likeliest-outcome(AY2020).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2020, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 86 units with mass 1/6; value 92 units with mass 1/3; value 92 units with mass 1/3; value 98 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2020, 92 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-057-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"86":"1/6","92":"2/3","98":"1/6"},"mean":"92","modes":["92"],"value":"92"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2021, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 88 units with mass 1/6; value 94 units with mass 1/3; value 94 units with mass 1/3; value 100 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 96 units is likeliest-outcome(AY2021).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2021, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 88 units with mass 1/6; value 94 units with mass 1/3; value 94 units with mass 1/3; value 100 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2021, 96 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-058-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"100":"1/6","88":"1/6","94":"2/3"},"mean":"94","modes":["94"],"value":"96"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2022, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 90 units with mass 1/6; value 96 units with mass 1/3; value 96 units with mass 1/3; value 102 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 96 units is likeliest-outcome(AY2022).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2022, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 90 units with mass 1/6; value 96 units with mass 1/3; value 96 units with mass 1/3; value 102 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 96 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2022, 96 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-059-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"102":"1/6","90":"1/6","96":"2/3"},"mean":"96","modes":["96"],"value":"96"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2023, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 92 units with mass 1/6; value 98 units with mass 1/3; value 98 units with mass 1/3; value 104 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 100 units is likeliest-outcome(AY2023).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"assay yield","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional assay yield model AY2023, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 92 units with mass 1/6; value 98 units with mass 1/3; value 98 units with mass 1/3; value 104 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under AY2023, 100 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-060-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"104":"1/6","92":"1/6","98":"2/3"},"mean":"98","modes":["98"],"value":"100"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2050, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 1/3; value 137 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 137 units is likeliest-outcome(HM2050).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2050, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 1/3; value 137 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2050, 137 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-061-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"128":"1/3","137":"2/3"},"mean":"134","modes":["137"],"value":"137"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2051, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 1/3; value 139 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 141 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 141 units is likeliest-outcome(HM2051).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2051, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 1/3; value 139 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 141 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2051, 141 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-062-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"130":"1/3","139":"2/3"},"mean":"136","modes":["139"],"value":"141"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2052, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 1/3; value 141 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 141 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 141 units is likeliest-outcome(HM2052).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2052, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 1/3; value 141 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 141 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2052, 141 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-063-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"132":"1/3","141":"2/3"},"mean":"138","modes":["141"],"value":"141"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2053, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 134 units with mass 1/3; value 143 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 145 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 145 units is likeliest-outcome(HM2053).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2053, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 134 units with mass 1/3; value 143 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 145 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2053, 145 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-064-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"134":"1/3","143":"2/3"},"mean":"140","modes":["143"],"value":"145"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2055, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 126 units with mass 5/12; value 129 units with mass 1/3; value 134 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 126 units is likeliest-outcome(HM2055).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2055, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 126 units with mass 5/12; value 129 units with mass 1/3; value 134 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 126 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2055, 126 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-065-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"126":"5/12","129":"1/3","134":"1/4"},"mean":"129","modes":["126"],"value":"126"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2056, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 5/12; value 131 units with mass 1/3; value 136 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 130 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 130 units is likeliest-outcome(HM2056).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2056, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 5/12; value 131 units with mass 1/3; value 136 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 130 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2056, 130 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-066-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"128":"5/12","131":"1/3","136":"1/4"},"mean":"131","modes":["128"],"value":"130"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2057, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 5/12; value 133 units with mass 1/3; value 138 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 130 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 130 units is likeliest-outcome(HM2057).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2057, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 5/12; value 133 units with mass 1/3; value 138 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 130 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2057, 130 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-067-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"130":"5/12","133":"1/3","138":"1/4"},"mean":"133","modes":["130"],"value":"130"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2058, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 5/12; value 135 units with mass 1/3; value 140 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 134 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 134 units is likeliest-outcome(HM2058).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2058, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 5/12; value 135 units with mass 1/3; value 140 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 134 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2058, 134 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-068-0008","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"132":"5/12","135":"1/3","140":"1/4"},"mean":"135","modes":["132"],"value":"134"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2060, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 3/8; value 132 units with mass 3/8; value 136 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 132 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 132 units is likeliest-outcome(HM2060).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2060, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 128 units with mass 3/8; value 132 units with mass 3/8; value 136 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 132 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2060, 132 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-069-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"128":"3/8","132":"3/8","136":"1/4"},"mean":"263/2","modes":["128","132"],"value":"132"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2061, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 3/8; value 134 units with mass 3/8; value 138 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 136 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 136 units is likeliest-outcome(HM2061).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2061, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 130 units with mass 3/8; value 134 units with mass 3/8; value 138 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 136 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2061, 136 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-070-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"130":"3/8","134":"3/8","138":"1/4"},"mean":"267/2","modes":["130","134"],"value":"136"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2062, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 3/8; value 136 units with mass 3/8; value 140 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 136 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 136 units is likeliest-outcome(HM2062).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2062, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 132 units with mass 3/8; value 136 units with mass 3/8; value 140 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 136 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2062, 136 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-071-0012","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"132":"3/8","136":"3/8","140":"1/4"},"mean":"271/2","modes":["132","136"],"value":"136"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2063, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 134 units with mass 3/8; value 138 units with mass 3/8; value 142 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 140 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 140 units is likeliest-outcome(HM2063).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2063, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 134 units with mass 3/8; value 138 units with mass 3/8; value 142 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 140 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2063, 140 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-072-0011","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"134":"3/8","138":"3/8","142":"1/4"},"mean":"275/2","modes":["134","138"],"value":"140"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2065, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 127 units with mass 1/5; value 131 units with mass 3/5; value 135 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 131 units is likeliest-outcome(HM2065).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2065, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 127 units with mass 1/5; value 131 units with mass 3/5; value 135 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2065, 131 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-073-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"127":"1/5","131":"3/5","135":"1/5"},"mean":"131","modes":["131"],"value":"131"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2066, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 129 units with mass 1/5; value 133 units with mass 3/5; value 137 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 135 units is likeliest-outcome(HM2066).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2066, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 129 units with mass 1/5; value 133 units with mass 3/5; value 137 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2066, 135 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-074-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"129":"1/5","133":"3/5","137":"1/5"},"mean":"133","modes":["133"],"value":"135"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2067, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 131 units with mass 1/5; value 135 units with mass 3/5; value 139 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 135 units is likeliest-outcome(HM2067).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2067, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 131 units with mass 1/5; value 135 units with mass 3/5; value 139 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2067, 135 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-075-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"131":"1/5","135":"3/5","139":"1/5"},"mean":"135","modes":["135"],"value":"135"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2068, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 133 units with mass 1/5; value 137 units with mass 3/5; value 141 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 139 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 139 units is likeliest-outcome(HM2068).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2068, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 133 units with mass 1/5; value 137 units with mass 3/5; value 141 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 139 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2068, 139 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-076-0008","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"133":"1/5","137":"3/5","141":"1/5"},"mean":"137","modes":["137"],"value":"139"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2070, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 127 units with mass 1/6; value 133 units with mass 1/3; value 133 units with mass 1/3; value 139 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 133 units is likeliest-outcome(HM2070).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2070, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 127 units with mass 1/6; value 133 units with mass 1/3; value 133 units with mass 1/3; value 139 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2070, 133 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-077-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"127":"1/6","133":"2/3","139":"1/6"},"mean":"133","modes":["133"],"value":"133"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2071, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 129 units with mass 1/6; value 135 units with mass 1/3; value 135 units with mass 1/3; value 141 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 137 units is likeliest-outcome(HM2071).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2071, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 129 units with mass 1/6; value 135 units with mass 1/3; value 135 units with mass 1/3; value 141 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2071, 137 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-078-0013","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"129":"1/6","135":"2/3","141":"1/6"},"mean":"135","modes":["135"],"value":"137"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2072, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 131 units with mass 1/6; value 137 units with mass 1/3; value 137 units with mass 1/3; value 143 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 137 units is likeliest-outcome(HM2072).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2072, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 131 units with mass 1/6; value 137 units with mass 1/3; value 137 units with mass 1/3; value 143 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 137 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2072, 137 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-079-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"131":"1/6","137":"2/3","143":"1/6"},"mean":"137","modes":["137"],"value":"137"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2073, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 133 units with mass 1/6; value 139 units with mass 1/3; value 139 units with mass 1/3; value 145 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 141 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 141 units is likeliest-outcome(HM2073).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"harvest mass","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional harvest mass model HM2073, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 133 units with mass 1/6; value 139 units with mass 1/3; value 139 units with mass 1/3; value 145 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 141 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under HM2073, 141 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-080-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"133":"1/6","139":"2/3","145":"1/6"},"mean":"139","modes":["139"],"value":"141"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2100, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 1/3; value 178 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 178 units is likeliest-outcome(PL2100).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2100, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 1/3; value 178 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2100, 178 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-081-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"169":"1/3","178":"2/3"},"mean":"175","modes":["178"],"value":"178"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2101, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 1/3; value 180 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 182 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 182 units is likeliest-outcome(PL2101).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2101, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 1/3; value 180 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 182 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2101, 182 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-082-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"171":"1/3","180":"2/3"},"mean":"177","modes":["180"],"value":"182"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2102, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 1/3; value 182 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 182 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 182 units is likeliest-outcome(PL2102).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2102, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 1/3; value 182 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 182 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2102, 182 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-083-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"173":"1/3","182":"2/3"},"mean":"179","modes":["182"],"value":"182"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2103, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 175 units with mass 1/3; value 184 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 186 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 186 units is likeliest-outcome(PL2103).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2103, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 175 units with mass 1/3; value 184 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 186 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2103, 186 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-084-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"175":"1/3","184":"2/3"},"mean":"181","modes":["184"],"value":"186"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2105, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 167 units with mass 5/12; value 170 units with mass 1/3; value 175 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 167 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 167 units is likeliest-outcome(PL2105).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2105, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 167 units with mass 5/12; value 170 units with mass 1/3; value 175 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 167 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2105, 167 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-085-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"167":"5/12","170":"1/3","175":"1/4"},"mean":"170","modes":["167"],"value":"167"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2106, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 5/12; value 172 units with mass 1/3; value 177 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 171 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 171 units is likeliest-outcome(PL2106).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2106, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 5/12; value 172 units with mass 1/3; value 177 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 171 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2106, 171 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-086-0011","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"169":"5/12","172":"1/3","177":"1/4"},"mean":"172","modes":["169"],"value":"171"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2107, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 5/12; value 174 units with mass 1/3; value 179 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 171 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 171 units is likeliest-outcome(PL2107).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2107, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 5/12; value 174 units with mass 1/3; value 179 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 171 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2107, 171 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-087-0011","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"171":"5/12","174":"1/3","179":"1/4"},"mean":"174","modes":["171"],"value":"171"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2108, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 5/12; value 176 units with mass 1/3; value 181 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 175 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 175 units is likeliest-outcome(PL2108).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2108, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 5/12; value 176 units with mass 1/3; value 181 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 175 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2108, 175 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-088-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"173":"5/12","176":"1/3","181":"1/4"},"mean":"176","modes":["173"],"value":"175"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2110, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 3/8; value 173 units with mass 3/8; value 177 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 173 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 173 units is likeliest-outcome(PL2110).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2110, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 169 units with mass 3/8; value 173 units with mass 3/8; value 177 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 173 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2110, 173 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-089-0001","options":["Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"169":"3/8","173":"3/8","177":"1/4"},"mean":"345/2","modes":["169","173"],"value":"173"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2111, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 3/8; value 175 units with mass 3/8; value 179 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 177 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 177 units is likeliest-outcome(PL2111).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2111, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 171 units with mass 3/8; value 175 units with mass 3/8; value 179 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 177 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2111, 177 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-090-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"171":"3/8","175":"3/8","179":"1/4"},"mean":"349/2","modes":["171","175"],"value":"177"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2112, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 3/8; value 177 units with mass 3/8; value 181 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 177 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 177 units is likeliest-outcome(PL2112).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2112, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 173 units with mass 3/8; value 177 units with mass 3/8; value 181 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 177 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2112, 177 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-091-0006","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"173":"3/8","177":"3/8","181":"1/4"},"mean":"353/2","modes":["173","177"],"value":"177"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2113, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 175 units with mass 3/8; value 179 units with mass 3/8; value 183 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 181 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 181 units is likeliest-outcome(PL2113).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2113, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 175 units with mass 3/8; value 179 units with mass 3/8; value 183 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 181 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2113, 181 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-092-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"175":"3/8","179":"3/8","183":"1/4"},"mean":"357/2","modes":["175","179"],"value":"181"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2115, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 168 units with mass 1/5; value 172 units with mass 3/5; value 176 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 172 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 172 units is likeliest-outcome(PL2115).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2115, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 168 units with mass 1/5; value 172 units with mass 3/5; value 176 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 172 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2115, 172 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-093-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"168":"1/5","172":"3/5","176":"1/5"},"mean":"172","modes":["172"],"value":"172"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2116, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 170 units with mass 1/5; value 174 units with mass 3/5; value 178 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 176 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 176 units is likeliest-outcome(PL2116).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2116, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 170 units with mass 1/5; value 174 units with mass 3/5; value 178 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 176 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2116, 176 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-094-0005","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"170":"1/5","174":"3/5","178":"1/5"},"mean":"174","modes":["174"],"value":"176"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2117, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 172 units with mass 1/5; value 176 units with mass 3/5; value 180 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 176 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 176 units is likeliest-outcome(PL2117).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2117, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 172 units with mass 1/5; value 176 units with mass 3/5; value 180 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 176 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2117, 176 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-095-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"172":"1/5","176":"3/5","180":"1/5"},"mean":"176","modes":["176"],"value":"176"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2118, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 174 units with mass 1/5; value 178 units with mass 3/5; value 182 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 180 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 180 units is likeliest-outcome(PL2118).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2118, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 174 units with mass 1/5; value 178 units with mass 3/5; value 182 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 180 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2118, 180 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-096-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"174":"1/5","178":"3/5","182":"1/5"},"mean":"178","modes":["178"],"value":"180"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2120, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 168 units with mass 1/6; value 174 units with mass 1/3; value 174 units with mass 1/3; value 180 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 174 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 174 units is likeliest-outcome(PL2120).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2120, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 168 units with mass 1/6; value 174 units with mass 1/3; value 174 units with mass 1/3; value 180 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 174 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2120, 174 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-097-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"168":"1/6","174":"2/3","180":"1/6"},"mean":"174","modes":["174"],"value":"174"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2121, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 170 units with mass 1/6; value 176 units with mass 1/3; value 176 units with mass 1/3; value 182 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 178 units is likeliest-outcome(PL2121).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2121, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 170 units with mass 1/6; value 176 units with mass 1/3; value 176 units with mass 1/3; value 182 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2121, 178 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-098-0009","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"170":"1/6","176":"2/3","182":"1/6"},"mean":"176","modes":["176"],"value":"178"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2122, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 172 units with mass 1/6; value 178 units with mass 1/3; value 178 units with mass 1/3; value 184 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 178 units is likeliest-outcome(PL2122).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2122, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 172 units with mass 1/6; value 178 units with mass 1/3; value 178 units with mass 1/3; value 184 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 178 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2122, 178 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-099-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"172":"1/6","178":"2/3","184":"1/6"},"mean":"178","modes":["178"],"value":"178"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2123, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 174 units with mass 1/6; value 180 units with mass 1/3; value 180 units with mass 1/3; value 186 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 182 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 182 units is likeliest-outcome(PL2123).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"packet latency","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional packet latency model PL2123, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 174 units with mass 1/6; value 180 units with mass 1/3; value 180 units with mass 1/3; value 186 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 182 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under PL2123, 182 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-100-0007","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"174":"1/6","180":"2/3","186":"1/6"},"mean":"180","modes":["180"],"value":"182"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2150, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 1/3; value 219 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 219 units is likeliest-outcome(RI2150).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2150, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 1/3; value 219 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2150, 219 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-101-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"210":"1/3","219":"2/3"},"mean":"216","modes":["219"],"value":"219"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2151, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 1/3; value 221 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 223 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 223 units is likeliest-outcome(RI2151).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2151, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 1/3; value 221 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 223 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2151, 223 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-102-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"212":"1/3","221":"2/3"},"mean":"218","modes":["221"],"value":"223"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2152, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 1/3; value 223 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 223 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 223 units is likeliest-outcome(RI2152).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2152, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 1/3; value 223 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 223 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2152, 223 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-103-0008","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"214":"1/3","223":"2/3"},"mean":"220","modes":["223"],"value":"223"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2153, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 216 units with mass 1/3; value 225 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 227 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 227 units is likeliest-outcome(RI2153).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2153, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 216 units with mass 1/3; value 225 units with mass 2/3. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 227 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2153, 227 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-104-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"216":"1/3","225":"2/3"},"mean":"222","modes":["225"],"value":"227"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2155, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 208 units with mass 5/12; value 211 units with mass 1/3; value 216 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 208 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 208 units is likeliest-outcome(RI2155).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2155, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 208 units with mass 5/12; value 211 units with mass 1/3; value 216 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 208 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2155, 208 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-105-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"208":"5/12","211":"1/3","216":"1/4"},"mean":"211","modes":["208"],"value":"208"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2156, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 5/12; value 213 units with mass 1/3; value 218 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 212 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 212 units is likeliest-outcome(RI2156).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2156, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 5/12; value 213 units with mass 1/3; value 218 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 212 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2156, 212 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-106-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"210":"5/12","213":"1/3","218":"1/4"},"mean":"213","modes":["210"],"value":"212"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2157, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 5/12; value 215 units with mass 1/3; value 220 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 212 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 212 units is likeliest-outcome(RI2157).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2157, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 5/12; value 215 units with mass 1/3; value 220 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 212 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2157, 212 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-107-0009","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"212":"5/12","215":"1/3","220":"1/4"},"mean":"215","modes":["212"],"value":"212"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2158, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 5/12; value 217 units with mass 1/3; value 222 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 216 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 216 units is likeliest-outcome(RI2158).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2158, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 5/12; value 217 units with mass 1/3; value 222 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 216 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2158, 216 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-108-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"214":"5/12","217":"1/3","222":"1/4"},"mean":"217","modes":["214"],"value":"216"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2160, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 3/8; value 214 units with mass 3/8; value 218 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 214 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 214 units is likeliest-outcome(RI2160).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2160, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 210 units with mass 3/8; value 214 units with mass 3/8; value 218 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 214 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2160, 214 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-109-0000","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"210":"3/8","214":"3/8","218":"1/4"},"mean":"427/2","modes":["210","214"],"value":"214"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2161, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 3/8; value 216 units with mass 3/8; value 220 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 218 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 218 units is likeliest-outcome(RI2161).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2161, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 212 units with mass 3/8; value 216 units with mass 3/8; value 220 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 218 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2161, 218 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-110-0008","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"212":"3/8","216":"3/8","220":"1/4"},"mean":"431/2","modes":["212","216"],"value":"218"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2162, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 3/8; value 218 units with mass 3/8; value 222 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 218 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 218 units is likeliest-outcome(RI2162).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2162, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 214 units with mass 3/8; value 218 units with mass 3/8; value 222 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 218 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2162, 218 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-111-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,false,false],"masses":{"214":"3/8","218":"3/8","222":"1/4"},"mean":"435/2","modes":["214","218"],"value":"218"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2163, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 216 units with mass 3/8; value 220 units with mass 3/8; value 224 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 222 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 222 units is likeliest-outcome(RI2163).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2163, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 216 units with mass 3/8; value 220 units with mass 3/8; value 224 units with mass 1/4. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 222 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2163, 222 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-112-0003","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"216":"3/8","220":"3/8","224":"1/4"},"mean":"439/2","modes":["216","220"],"value":"222"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2165, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 209 units with mass 1/5; value 213 units with mass 3/5; value 217 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 213 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 213 units is likeliest-outcome(RI2165).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2165, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 209 units with mass 1/5; value 213 units with mass 3/5; value 217 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 213 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2165, 213 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-113-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"209":"1/5","213":"3/5","217":"1/5"},"mean":"213","modes":["213"],"value":"213"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2166, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 211 units with mass 1/5; value 215 units with mass 3/5; value 219 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 217 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 217 units is likeliest-outcome(RI2166).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2166, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 211 units with mass 1/5; value 215 units with mass 3/5; value 219 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 217 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2166, 217 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-114-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"211":"1/5","215":"3/5","219":"1/5"},"mean":"215","modes":["215"],"value":"217"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2167, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 213 units with mass 1/5; value 217 units with mass 3/5; value 221 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 217 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 217 units is likeliest-outcome(RI2167).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2167, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 213 units with mass 1/5; value 217 units with mass 3/5; value 221 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 217 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2167, 217 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-115-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"213":"1/5","217":"3/5","221":"1/5"},"mean":"217","modes":["217"],"value":"217"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2168, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 215 units with mass 1/5; value 219 units with mass 3/5; value 223 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 221 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 221 units is likeliest-outcome(RI2168).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2168, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 215 units with mass 1/5; value 219 units with mass 3/5; value 223 units with mass 1/5. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 221 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2168, 221 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-116-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"215":"1/5","219":"3/5","223":"1/5"},"mean":"219","modes":["219"],"value":"221"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2170, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 209 units with mass 1/6; value 215 units with mass 1/3; value 215 units with mass 1/3; value 221 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 215 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 215 units is likeliest-outcome(RI2170).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2170, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 209 units with mass 1/6; value 215 units with mass 1/3; value 215 units with mass 1/3; value 221 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 215 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2170, 215 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-117-0004","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"209":"1/6","215":"2/3","221":"1/6"},"mean":"215","modes":["215"],"value":"215"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":0},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2171, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 211 units with mass 1/6; value 217 units with mass 1/3; value 217 units with mass 1/3; value 223 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 219 units is likeliest-outcome(RI2171).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2171, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 211 units with mass 1/6; value 217 units with mass 1/3; value 217 units with mass 1/3; value 223 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2171, 219 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-118-0002","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes."],"oracle":{"flags":[false,false,false,false],"masses":{"211":"1/6","217":"2/3","223":"1/6"},"mean":"217","modes":["217"],"value":"219"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":1},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2172, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 213 units with mass 1/6; value 219 units with mass 1/3; value 219 units with mass 1/3; value 225 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 219 units is likeliest-outcome(RI2172).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2172, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 213 units with mass 1/6; value 219 units with mass 1/3; value 219 units with mass 1/3; value 225 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 219 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2172, 219 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-119-0008","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[true,true,true,false],"masses":{"213":"1/6","219":"2/3","225":"1/6"},"mean":"219","modes":["219"],"value":"219"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":2},{"ainglish":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2173, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 215 units with mass 1/6; value 221 units with mass 1/3; value 221 units with mass 1/3; value 227 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 223 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 223 units is likeliest-outcome(RI2173).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"reservoir inflow","english":"Shared definition supplied once for this stateless question: x is mean-outcome(D) asserts that x equals the probability-weighted arithmetic mean under D. x is likeliest-outcome(D) asserts that x has the highest aggregated outcome mass under D, with ties allowed. These definitions also govern the corresponding English phrases. They do not guarantee a trial result or certify the model. Fictional reservoir inflow model RI2173, version v9 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive exact rational masses, not rounded observations: value 215 units with mass 1/6; value 221 units with mass 1/3; value 221 units with mass 1/3; value 227 units with mass 1/6. Add masses of paths with the same value. Mean is the probability-weighted arithmetic mean; most probable compares aggregated value masses and allows ties. Here x = 223 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Under RI2173, 223 units has aggregated outcome mass at least as high as every other distinct value; ties are allowed.","id":"SAT-OUTCOME-CAREFUL-20260919-likeliest-outcome-120-0001","options":["Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: yes; x unique most probable: no; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: yes; next result guaranteed x: no.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: yes.","Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no."],"oracle":{"flags":[false,false,false,false],"masses":{"215":"1/6","221":"2/3","227":"1/6"},"mean":"221","modes":["221"],"value":"223"},"question":"Evaluate the claim, whether x can actually occur, whether x alone is most probable, and whether the next result is guaranteed to equal x.","settlement_stratum":"likeliest-outcome","variant":3},{"ainglish":"Archive capsule AP-9200: its steward is Mara.","answer":"Mara","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9200: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-00","options":["Mara","Niko","Orla","Pavel","Quinn","Rhea","not specified"],"question":"Who is the steward of archive capsule AP-9200?"},{"ainglish":"Archive capsule AP-9201: its steward is Niko.","answer":"Niko","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9201: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-01","options":["Niko","Orla","Pavel","Quinn","Rhea","not specified","Mara"],"question":"Who is the steward of archive capsule AP-9201?"},{"ainglish":"Archive capsule AP-9202: its steward is Orla.","answer":"Orla","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9202: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-02","options":["Orla","Pavel","Quinn","Rhea","not specified","Mara","Niko"],"question":"Who is the steward of archive capsule AP-9202?"},{"ainglish":"Archive capsule AP-9203: its steward is Pavel.","answer":"Pavel","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9203: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-03","options":["Pavel","Quinn","Rhea","not specified","Mara","Niko","Orla"],"question":"Who is the steward of archive capsule AP-9203?"},{"ainglish":"Archive capsule AP-9204: its steward is Quinn.","answer":"Quinn","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9204: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-04","options":["Quinn","Rhea","not specified","Mara","Niko","Orla","Pavel"],"question":"Who is the steward of archive capsule AP-9204?"},{"ainglish":"Archive capsule AP-9205: its steward is Rhea.","answer":"Rhea","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9205: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-05","options":["Rhea","not specified","Mara","Niko","Orla","Pavel","Quinn"],"question":"Who is the steward of archive capsule AP-9205?"},{"ainglish":"Archive capsule AP-9206: its steward is Mara.","answer":"Mara","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9206: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-06","options":["not specified","Mara","Niko","Orla","Pavel","Quinn","Rhea"],"question":"Who is the steward of archive capsule AP-9206?"},{"ainglish":"Archive capsule AP-9207: its steward is Niko.","answer":"Niko","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9207: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-07","options":["Mara","Niko","Orla","Pavel","Quinn","Rhea","not specified"],"question":"Who is the steward of archive capsule AP-9207?"},{"ainglish":"Archive capsule AP-9208: its steward is Orla.","answer":"Orla","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9208: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-08","options":["Niko","Orla","Pavel","Quinn","Rhea","not specified","Mara"],"question":"Who is the steward of archive capsule AP-9208?"},{"ainglish":"Archive capsule AP-9209: its steward is Pavel.","answer":"Pavel","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9209: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-09","options":["Orla","Pavel","Quinn","Rhea","not specified","Mara","Niko"],"question":"Who is the steward of archive capsule AP-9209?"},{"ainglish":"Archive capsule AP-9210: its steward is Quinn.","answer":"Quinn","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9210: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-10","options":["Pavel","Quinn","Rhea","not specified","Mara","Niko","Orla"],"question":"Who is the steward of archive capsule AP-9210?"},{"ainglish":"Archive capsule AP-9211: its steward is Rhea.","answer":"Rhea","calibration":true,"calibration_construct":"named archive steward","calibration_scope":"target-independent","english":"Archive capsule AP-9211: its steward is not specified.","id":"saturnia-outcome-careful-panel-control-11","options":["Quinn","Rhea","not specified","Mara","Niko","Orla","Pavel"],"question":"Who is the steward of archive capsule AP-9211?"}],"kind":"saturnia.ainglish.outcome-careful-replication-items.v1","qualification_controls":[{"answer":"Sela","detectable":"Registry voucher RV-9400: the named reviewer is Sela.","id":"saturnia-outcome-careful-qualification-00","options":["Sela","Tobin","Una","Vero","Wren","Xavi","not specified"],"other":"Registry voucher RV-9400: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9400?"},{"answer":"Tobin","detectable":"Registry voucher RV-9401: the named reviewer is Tobin.","id":"saturnia-outcome-careful-qualification-01","options":["Tobin","Una","Vero","Wren","Xavi","not specified","Sela"],"other":"Registry voucher RV-9401: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9401?"},{"answer":"Una","detectable":"Registry voucher RV-9402: the named reviewer is Una.","id":"saturnia-outcome-careful-qualification-02","options":["Una","Vero","Wren","Xavi","not specified","Sela","Tobin"],"other":"Registry voucher RV-9402: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9402?"},{"answer":"Vero","detectable":"Registry voucher RV-9403: the named reviewer is Vero.","id":"saturnia-outcome-careful-qualification-03","options":["Vero","Wren","Xavi","not specified","Sela","Tobin","Una"],"other":"Registry voucher RV-9403: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9403?"},{"answer":"Wren","detectable":"Registry voucher RV-9404: the named reviewer is Wren.","id":"saturnia-outcome-careful-qualification-04","options":["Wren","Xavi","not specified","Sela","Tobin","Una","Vero"],"other":"Registry voucher RV-9404: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9404?"},{"answer":"Xavi","detectable":"Registry voucher RV-9405: the named reviewer is Xavi.","id":"saturnia-outcome-careful-qualification-05","options":["Xavi","not specified","Sela","Tobin","Una","Vero","Wren"],"other":"Registry voucher RV-9405: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9405?"},{"answer":"Sela","detectable":"Registry voucher RV-9406: the named reviewer is Sela.","id":"saturnia-outcome-careful-qualification-06","options":["not specified","Sela","Tobin","Una","Vero","Wren","Xavi"],"other":"Registry voucher RV-9406: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9406?"},{"answer":"Tobin","detectable":"Registry voucher RV-9407: the named reviewer is Tobin.","id":"saturnia-outcome-careful-qualification-07","options":["Sela","Tobin","Una","Vero","Wren","Xavi","not specified"],"other":"Registry voucher RV-9407: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9407?"},{"answer":"Una","detectable":"Registry voucher RV-9408: the named reviewer is Una.","id":"saturnia-outcome-careful-qualification-08","options":["Tobin","Una","Vero","Wren","Xavi","not specified","Sela"],"other":"Registry voucher RV-9408: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9408?"},{"answer":"Vero","detectable":"Registry voucher RV-9409: the named reviewer is Vero.","id":"saturnia-outcome-careful-qualification-09","options":["Una","Vero","Wren","Xavi","not specified","Sela","Tobin"],"other":"Registry voucher RV-9409: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9409?"},{"answer":"Wren","detectable":"Registry voucher RV-9410: the named reviewer is Wren.","id":"saturnia-outcome-careful-qualification-10","options":["Vero","Wren","Xavi","not specified","Sela","Tobin","Una"],"other":"Registry voucher RV-9410: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9410?"},{"answer":"Xavi","detectable":"Registry voucher RV-9411: the named reviewer is Xavi.","id":"saturnia-outcome-careful-qualification-11","options":["Wren","Xavi","not specified","Sela","Tobin","Una","Vero"],"other":"Registry voucher RV-9411: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9411?"},{"answer":"Sela","detectable":"Registry voucher RV-9412: the named reviewer is Sela.","id":"saturnia-outcome-careful-qualification-12","options":["Xavi","not specified","Sela","Tobin","Una","Vero","Wren"],"other":"Registry voucher RV-9412: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9412?"},{"answer":"Tobin","detectable":"Registry voucher RV-9413: the named reviewer is Tobin.","id":"saturnia-outcome-careful-qualification-13","options":["not specified","Sela","Tobin","Una","Vero","Wren","Xavi"],"other":"Registry voucher RV-9413: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9413?"},{"answer":"Una","detectable":"Registry voucher RV-9414: the named reviewer is Una.","id":"saturnia-outcome-careful-qualification-14","options":["Sela","Tobin","Una","Vero","Wren","Xavi","not specified"],"other":"Registry voucher RV-9414: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9414?"},{"answer":"Vero","detectable":"Registry voucher RV-9415: the named reviewer is Vero.","id":"saturnia-outcome-careful-qualification-15","options":["Tobin","Una","Vero","Wren","Xavi","not specified","Sela"],"other":"Registry voucher RV-9415: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9415?"},{"answer":"Wren","detectable":"Registry voucher RV-9416: the named reviewer is Wren.","id":"saturnia-outcome-careful-qualification-16","options":["Una","Vero","Wren","Xavi","not specified","Sela","Tobin"],"other":"Registry voucher RV-9416: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9416?"},{"answer":"Xavi","detectable":"Registry voucher RV-9417: the named reviewer is Xavi.","id":"saturnia-outcome-careful-qualification-17","options":["Vero","Wren","Xavi","not specified","Sela","Tobin","Una"],"other":"Registry voucher RV-9417: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9417?"},{"answer":"Sela","detectable":"Registry voucher RV-9418: the named reviewer is Sela.","id":"saturnia-outcome-careful-qualification-18","options":["Wren","Xavi","not specified","Sela","Tobin","Una","Vero"],"other":"Registry voucher RV-9418: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9418?"},{"answer":"Tobin","detectable":"Registry voucher RV-9419: the named reviewer is Tobin.","id":"saturnia-outcome-careful-qualification-19","options":["Xavi","not specified","Sela","Tobin","Una","Vero","Wren"],"other":"Registry voucher RV-9419: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9419?"},{"answer":"Una","detectable":"Registry voucher RV-9420: the named reviewer is Una.","id":"saturnia-outcome-careful-qualification-20","options":["not specified","Sela","Tobin","Una","Vero","Wren","Xavi"],"other":"Registry voucher RV-9420: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9420?"},{"answer":"Vero","detectable":"Registry voucher RV-9421: the named reviewer is Vero.","id":"saturnia-outcome-careful-qualification-21","options":["Sela","Tobin","Una","Vero","Wren","Xavi","not specified"],"other":"Registry voucher RV-9421: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9421?"},{"answer":"Wren","detectable":"Registry voucher RV-9422: the named reviewer is Wren.","id":"saturnia-outcome-careful-qualification-22","options":["Tobin","Una","Vero","Wren","Xavi","not specified","Sela"],"other":"Registry voucher RV-9422: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9422?"},{"answer":"Xavi","detectable":"Registry voucher RV-9423: the named reviewer is Xavi.","id":"saturnia-outcome-careful-qualification-23","options":["Una","Vero","Wren","Xavi","not specified","Sela","Tobin"],"other":"Registry voucher RV-9423: the named reviewer is not specified.","question":"Who is the named reviewer on registry voucher RV-9423?"}],"sha256":"95fcac3b06e34cde12c8d401a2a40f7c193bd626221c25a529785670ebc51b43","zero_reader_calls_at_publication":true}