{"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 relay yield model RY700, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/3; value 11 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 = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 8 units is mean-outcome(RY700).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"relay 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 relay yield model RY700, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/3; value 11 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 = 8 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY700: 8 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-001-0005","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":{"11":"2/3","2":"1/3"},"mean":"8","modes":["11"],"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 relay yield model RY701, version v7 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 1/3; value 12 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 = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 10 units is mean-outcome(RY701).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"relay 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 relay yield model RY701, version v7 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 1/3; value 12 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 = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY701: 10 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-002-0001","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":{"12":"2/3","3":"1/3"},"mean":"9","modes":["12"],"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 relay yield model RY702, version v7 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 1/3; value 13 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 = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 10 units is mean-outcome(RY702).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"relay 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 relay yield model RY702, version v7 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 1/3; value 13 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 = 10 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY702: 10 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-003-0007","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: 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":{"13":"2/3","4":"1/3"},"mean":"10","modes":["13"],"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 relay yield model RY703, version v7 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 = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 12 units is mean-outcome(RY703).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"relay 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 relay yield model RY703, version v7 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 = 12 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY703: 12 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-004-0000","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":{"14":"2/3","5":"1/3"},"mean":"11","modes":["14"],"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":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 relay yield model RY704, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 5/12; value 3 units with mass 1/3; value 8 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 mean-outcome(RY704).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"relay 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 relay yield model RY704, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 5/12; value 3 units with mass 1/3; value 8 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: Mean under RY704: 3 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-005-0000","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":{"0":"5/12","3":"1/3","8":"1/4"},"mean":"3","modes":["0"],"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":"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 relay yield model RY705, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 5/12; value 4 units with mass 1/3; value 9 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 = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(RY705).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"relay 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 relay yield model RY705, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 5/12; value 4 units with mass 1/3; value 9 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 = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY705: 5 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-006-0001","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":{"1":"5/12","4":"1/3","9":"1/4"},"mean":"4","modes":["1"],"value":"5"},"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 relay yield model RY706, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 5/12; value 5 units with mass 1/3; value 10 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 = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(RY706).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"relay 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 relay yield model RY706, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 5/12; value 5 units with mass 1/3; value 10 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 = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY706: 5 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-007-0000","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: 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":"1/4","2":"5/12","5":"1/3"},"mean":"5","modes":["2"],"value":"5"},"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 relay yield model RY707, version v7 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(RY707).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"relay 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 relay yield model RY707, version v7 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY707: 7 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-008-0011","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: 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":{"11":"1/4","3":"5/12","6":"1/3"},"mean":"6","modes":["3"],"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":"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 relay yield model RY708, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 3/8; value 6 units with mass 3/8; value 10 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 = 11/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 11/2 units is mean-outcome(RY708).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"relay 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 relay yield model RY708, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 3/8; value 6 units with mass 3/8; value 10 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 = 11/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY708: 11/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-009-0000","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: 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":{"10":"1/4","2":"3/8","6":"3/8"},"mean":"11/2","modes":["2","6"],"value":"11/2"},"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 relay yield model RY709, version v7 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 3/8; value 7 units with mass 3/8; 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 = 15/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 15/2 units is mean-outcome(RY709).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"relay 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 relay yield model RY709, version v7 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 3/8; value 7 units with mass 3/8; 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 = 15/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY709: 15/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-010-0003","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":{"11":"1/4","3":"3/8","7":"3/8"},"mean":"13/2","modes":["3","7"],"value":"15/2"},"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 relay yield model RY710, version v7 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 3/8; value 8 units with mass 3/8; value 12 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 = 15/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 15/2 units is mean-outcome(RY710).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"relay 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 relay yield model RY710, version v7 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 3/8; value 8 units with mass 3/8; value 12 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 = 15/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY710: 15/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-011-0023","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":{"12":"1/4","4":"3/8","8":"3/8"},"mean":"15/2","modes":["4","8"],"value":"15/2"},"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 relay yield model RY711, version v7 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 = 19/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 19/2 units is mean-outcome(RY711).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"relay 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 relay yield model RY711, version v7 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 = 19/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY711: 19/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"13":"1/4","5":"3/8","9":"3/8"},"mean":"17/2","modes":["5","9"],"value":"19/2"},"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 relay yield model RY712, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/5; value 9 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 = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is mean-outcome(RY712).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"relay 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 relay yield model RY712, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/5; value 9 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 = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY712: 5 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-013-0003","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: 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":{"1":"1/5","5":"3/5","9":"1/5"},"mean":"5","modes":["5"],"value":"5"},"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 relay yield model RY713, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/5; value 10 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(RY713).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"relay 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 relay yield model RY713, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/5; value 10 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY713: 7 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":"1/5","2":"1/5","6":"3/5"},"mean":"6","modes":["6"],"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":"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 relay yield model RY714, version v7 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 1/5; value 7 units with mass 3/5; value 11 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(RY714).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"relay 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 relay yield model RY714, version v7 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 1/5; value 7 units with mass 3/5; value 11 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY714: 7 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-015-0005","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: 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":{"11":"1/5","3":"1/5","7":"3/5"},"mean":"7","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":"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 relay yield model RY715, version v7 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 9 units is mean-outcome(RY715).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"relay 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 relay yield model RY715, version v7 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY715: 9 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-016-0000","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":"1/5","4":"1/5","8":"3/5"},"mean":"8","modes":["8"],"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":"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 relay yield model RY716, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/6; value 7 units with mass 1/3; value 7 units with mass 1/3; value 13 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is mean-outcome(RY716).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"relay 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 relay yield model RY716, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/6; value 7 units with mass 1/3; value 7 units with mass 1/3; value 13 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY716: 7 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-017-0002","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":{"1":"1/6","13":"1/6","7":"2/3"},"mean":"7","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":"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 relay yield model RY717, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/6; value 8 units with mass 1/3; value 8 units with mass 1/3; value 14 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 9 units is mean-outcome(RY717).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"relay 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 relay yield model RY717, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/6; value 8 units with mass 1/3; value 8 units with mass 1/3; value 14 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY717: 9 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-018-0006","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":{"14":"1/6","2":"1/6","8":"2/3"},"mean":"8","modes":["8"],"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":"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 relay yield model RY718, version v7 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 1/6; value 9 units with mass 1/3; value 9 units with mass 1/3; value 15 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 9 units is mean-outcome(RY718).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"relay 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 relay yield model RY718, version v7 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 1/6; value 9 units with mass 1/3; value 9 units with mass 1/3; value 15 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY718: 9 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-019-0000","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":{"15":"1/6","3":"1/6","9":"2/3"},"mean":"9","modes":["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":"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 relay yield model RY719, version v7 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 = 11 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 11 units is mean-outcome(RY719).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"relay 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 relay yield model RY719, version v7 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 = 11 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RY719: 11 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-020-0001","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":{"10":"2/3","16":"1/6","4":"1/6"},"mean":"10","modes":["10"],"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":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 repair duration model RD740, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/3; value 41 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 = 38 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 38 units is mean-outcome(RD740).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"repair duration","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 repair duration model RD740, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/3; value 41 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 = 38 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD740: 38 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-021-0002","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: 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":{"32":"1/3","41":"2/3"},"mean":"38","modes":["41"],"value":"38"},"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 repair duration model RD741, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/3; value 42 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 = 40 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 40 units is mean-outcome(RD741).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"repair duration","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 repair duration model RD741, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/3; value 42 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 = 40 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD741: 40 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-022-0013","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":{"33":"1/3","42":"2/3"},"mean":"39","modes":["42"],"value":"40"},"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 repair duration model RD742, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/3; value 43 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 = 40 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 40 units is mean-outcome(RD742).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"repair duration","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 repair duration model RD742, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/3; value 43 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 = 40 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD742: 40 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-023-0001","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":{"34":"1/3","43":"2/3"},"mean":"40","modes":["43"],"value":"40"},"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 repair duration model RD743, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 35 units with mass 1/3; value 44 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 = 42 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 42 units is mean-outcome(RD743).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"repair duration","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 repair duration model RD743, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 35 units with mass 1/3; value 44 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 = 42 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD743: 42 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-024-0013","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: 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":{"35":"1/3","44":"2/3"},"mean":"41","modes":["44"],"value":"42"},"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 repair duration model RD744, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 30 units with mass 5/12; value 33 units with mass 1/3; value 38 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 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 33 units is mean-outcome(RD744).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"repair duration","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 repair duration model RD744, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 30 units with mass 5/12; value 33 units with mass 1/3; value 38 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 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD744: 33 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-025-0002","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: 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":{"30":"5/12","33":"1/3","38":"1/4"},"mean":"33","modes":["30"],"value":"33"},"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 repair duration model RD745, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 5/12; value 34 units with mass 1/3; value 39 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 = 35 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 35 units is mean-outcome(RD745).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"repair duration","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 repair duration model RD745, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 5/12; value 34 units with mass 1/3; value 39 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 = 35 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD745: 35 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-026-0006","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: 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":{"31":"5/12","34":"1/3","39":"1/4"},"mean":"34","modes":["31"],"value":"35"},"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 repair duration model RD746, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 5/12; value 35 units with mass 1/3; value 40 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 = 35 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 35 units is mean-outcome(RD746).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"repair duration","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 repair duration model RD746, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 5/12; value 35 units with mass 1/3; value 40 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 = 35 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD746: 35 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"32":"5/12","35":"1/3","40":"1/4"},"mean":"35","modes":["32"],"value":"35"},"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 repair duration model RD747, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 5/12; value 36 units with mass 1/3; value 41 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 37 units is mean-outcome(RD747).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"repair duration","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 repair duration model RD747, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 5/12; value 36 units with mass 1/3; value 41 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD747: 37 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"33":"5/12","36":"1/3","41":"1/4"},"mean":"36","modes":["33"],"value":"37"},"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 repair duration model RD748, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 3/8; value 36 units with mass 3/8; value 40 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 = 71/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 71/2 units is mean-outcome(RD748).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"repair duration","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 repair duration model RD748, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 3/8; value 36 units with mass 3/8; value 40 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 = 71/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD748: 71/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-029-0021","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":{"32":"3/8","36":"3/8","40":"1/4"},"mean":"71/2","modes":["32","36"],"value":"71/2"},"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 repair duration model RD749, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 3/8; value 37 units with mass 3/8; value 41 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 = 75/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 75/2 units is mean-outcome(RD749).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"repair duration","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 repair duration model RD749, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 3/8; value 37 units with mass 3/8; value 41 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 = 75/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD749: 75/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-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: 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":{"33":"3/8","37":"3/8","41":"1/4"},"mean":"73/2","modes":["33","37"],"value":"75/2"},"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 repair duration model RD750, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 3/8; value 38 units with mass 3/8; value 42 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 = 75/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 75/2 units is mean-outcome(RD750).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"repair duration","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 repair duration model RD750, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 3/8; value 38 units with mass 3/8; value 42 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 = 75/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD750: 75/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-031-0003","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: 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":{"34":"3/8","38":"3/8","42":"1/4"},"mean":"75/2","modes":["34","38"],"value":"75/2"},"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 repair duration model RD751, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 35 units with mass 3/8; value 39 units with mass 3/8; value 43 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 = 79/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 79/2 units is mean-outcome(RD751).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"repair duration","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 repair duration model RD751, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 35 units with mass 3/8; value 39 units with mass 3/8; value 43 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 = 79/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD751: 79/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-032-0001","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":{"35":"3/8","39":"3/8","43":"1/4"},"mean":"77/2","modes":["35","39"],"value":"79/2"},"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 repair duration model RD752, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 1/5; value 35 units with mass 3/5; value 39 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 = 35 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 35 units is mean-outcome(RD752).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"repair duration","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 repair duration model RD752, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 1/5; value 35 units with mass 3/5; value 39 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 = 35 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD752: 35 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-033-0000","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":{"31":"1/5","35":"3/5","39":"1/5"},"mean":"35","modes":["35"],"value":"35"},"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 repair duration model RD753, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/5; value 36 units with mass 3/5; value 40 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 37 units is mean-outcome(RD753).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"repair duration","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 repair duration model RD753, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/5; value 36 units with mass 3/5; value 40 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD753: 37 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-034-0000","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":{"32":"1/5","36":"3/5","40":"1/5"},"mean":"36","modes":["36"],"value":"37"},"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 repair duration model RD754, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/5; value 37 units with mass 3/5; value 41 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 37 units is mean-outcome(RD754).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"repair duration","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 repair duration model RD754, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/5; value 37 units with mass 3/5; value 41 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD754: 37 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-035-0001","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: 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":{"33":"1/5","37":"3/5","41":"1/5"},"mean":"37","modes":["37"],"value":"37"},"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 repair duration model RD755, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/5; value 38 units with mass 3/5; value 42 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 39 units is mean-outcome(RD755).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"repair duration","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 repair duration model RD755, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/5; value 38 units with mass 3/5; value 42 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD755: 39 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-036-0000","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":{"34":"1/5","38":"3/5","42":"1/5"},"mean":"38","modes":["38"],"value":"39"},"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 repair duration model RD756, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 1/6; value 37 units with mass 1/3; value 37 units with mass 1/3; value 43 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 37 units is mean-outcome(RD756).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"repair duration","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 repair duration model RD756, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 1/6; value 37 units with mass 1/3; value 37 units with mass 1/3; value 43 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD756: 37 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"31":"1/6","37":"2/3","43":"1/6"},"mean":"37","modes":["37"],"value":"37"},"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 repair duration model RD757, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/6; value 38 units with mass 1/3; value 38 units with mass 1/3; value 44 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 39 units is mean-outcome(RD757).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"repair duration","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 repair duration model RD757, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/6; value 38 units with mass 1/3; value 38 units with mass 1/3; value 44 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD757: 39 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-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: 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":{"32":"1/6","38":"2/3","44":"1/6"},"mean":"38","modes":["38"],"value":"39"},"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 repair duration model RD758, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/6; value 39 units with mass 1/3; value 39 units with mass 1/3; value 45 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 39 units is mean-outcome(RD758).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"repair duration","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 repair duration model RD758, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/6; value 39 units with mass 1/3; value 39 units with mass 1/3; value 45 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD758: 39 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-039-0001","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":{"33":"1/6","39":"2/3","45":"1/6"},"mean":"39","modes":["39"],"value":"39"},"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 repair duration model RD759, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/6; value 40 units with mass 1/3; value 40 units with mass 1/3; value 46 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 = 41 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41 units is mean-outcome(RD759).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"repair duration","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 repair duration model RD759, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/6; value 40 units with mass 1/3; value 40 units with mass 1/3; value 46 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 = 41 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under RD759: 41 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-040-0002","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":{"34":"1/6","40":"2/3","46":"1/6"},"mean":"40","modes":["40"],"value":"41"},"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 batch count model BC780, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/3; value 71 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 = 68 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 68 units is mean-outcome(BC780).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"batch count","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 batch count model BC780, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/3; value 71 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 = 68 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC780: 68 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-041-0000","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: 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":{"62":"1/3","71":"2/3"},"mean":"68","modes":["71"],"value":"68"},"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 batch count model BC781, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/3; value 72 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 = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 70 units is mean-outcome(BC781).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"batch count","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 batch count model BC781, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/3; value 72 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 = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC781: 70 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-042-0003","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":{"63":"1/3","72":"2/3"},"mean":"69","modes":["72"],"value":"70"},"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 batch count model BC782, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/3; value 73 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 = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 70 units is mean-outcome(BC782).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"batch count","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 batch count model BC782, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/3; value 73 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 = 70 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC782: 70 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-043-0001","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":{"64":"1/3","73":"2/3"},"mean":"70","modes":["73"],"value":"70"},"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 batch count model BC783, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 65 units with mass 1/3; value 74 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 = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 72 units is mean-outcome(BC783).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"batch count","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 batch count model BC783, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 65 units with mass 1/3; value 74 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 = 72 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC783: 72 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-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: 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":{"65":"1/3","74":"2/3"},"mean":"71","modes":["74"],"value":"72"},"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 batch count model BC784, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 60 units with mass 5/12; value 63 units with mass 1/3; value 68 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 = 63 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 63 units is mean-outcome(BC784).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"batch count","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 batch count model BC784, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 60 units with mass 5/12; value 63 units with mass 1/3; value 68 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 = 63 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC784: 63 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"60":"5/12","63":"1/3","68":"1/4"},"mean":"63","modes":["60"],"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":"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 batch count model BC785, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 5/12; value 64 units with mass 1/3; value 69 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 = 65 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 65 units is mean-outcome(BC785).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"batch count","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 batch count model BC785, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 5/12; value 64 units with mass 1/3; value 69 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 = 65 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC785: 65 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-046-0000","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":{"61":"5/12","64":"1/3","69":"1/4"},"mean":"64","modes":["61"],"value":"65"},"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 batch count model BC786, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 5/12; value 65 units with mass 1/3; value 70 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 = 65 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 65 units is mean-outcome(BC786).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"batch count","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 batch count model BC786, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 5/12; value 65 units with mass 1/3; value 70 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 = 65 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC786: 65 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-047-0001","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: 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":{"62":"5/12","65":"1/3","70":"1/4"},"mean":"65","modes":["62"],"value":"65"},"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 batch count model BC787, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 5/12; value 66 units with mass 1/3; value 71 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 67 units is mean-outcome(BC787).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"batch count","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 batch count model BC787, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 5/12; value 66 units with mass 1/3; value 71 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC787: 67 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-048-0002","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":{"63":"5/12","66":"1/3","71":"1/4"},"mean":"66","modes":["63"],"value":"67"},"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 batch count model BC788, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 3/8; value 66 units with mass 3/8; value 70 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 = 131/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 131/2 units is mean-outcome(BC788).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"batch count","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 batch count model BC788, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 3/8; value 66 units with mass 3/8; value 70 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 = 131/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC788: 131/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-049-0000","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":{"62":"3/8","66":"3/8","70":"1/4"},"mean":"131/2","modes":["62","66"],"value":"131/2"},"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 batch count model BC789, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 3/8; value 67 units with mass 3/8; value 71 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 = 135/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 135/2 units is mean-outcome(BC789).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"batch count","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 batch count model BC789, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 3/8; value 67 units with mass 3/8; value 71 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 = 135/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC789: 135/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-050-0004","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":{"63":"3/8","67":"3/8","71":"1/4"},"mean":"133/2","modes":["63","67"],"value":"135/2"},"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 batch count model BC790, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 3/8; value 68 units with mass 3/8; value 72 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 = 135/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 135/2 units is mean-outcome(BC790).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"batch count","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 batch count model BC790, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 3/8; value 68 units with mass 3/8; value 72 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 = 135/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC790: 135/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"64":"3/8","68":"3/8","72":"1/4"},"mean":"135/2","modes":["64","68"],"value":"135/2"},"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 batch count model BC791, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 65 units with mass 3/8; value 69 units with mass 3/8; value 73 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 = 139/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 139/2 units is mean-outcome(BC791).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"batch count","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 batch count model BC791, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 65 units with mass 3/8; value 69 units with mass 3/8; value 73 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 = 139/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC791: 139/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-052-0003","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":{"65":"3/8","69":"3/8","73":"1/4"},"mean":"137/2","modes":["65","69"],"value":"139/2"},"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 batch count model BC792, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 1/5; value 65 units with mass 3/5; value 69 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 = 65 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 65 units is mean-outcome(BC792).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"batch count","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 batch count model BC792, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 1/5; value 65 units with mass 3/5; value 69 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 = 65 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC792: 65 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-053-0002","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":{"61":"1/5","65":"3/5","69":"1/5"},"mean":"65","modes":["65"],"value":"65"},"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 batch count model BC793, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/5; value 66 units with mass 3/5; value 70 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 67 units is mean-outcome(BC793).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"batch count","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 batch count model BC793, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/5; value 66 units with mass 3/5; value 70 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC793: 67 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-054-0000","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":{"62":"1/5","66":"3/5","70":"1/5"},"mean":"66","modes":["66"],"value":"67"},"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 batch count model BC794, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/5; value 67 units with mass 3/5; value 71 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 67 units is mean-outcome(BC794).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"batch count","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 batch count model BC794, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/5; value 67 units with mass 3/5; value 71 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC794: 67 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-055-0000","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: 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":{"63":"1/5","67":"3/5","71":"1/5"},"mean":"67","modes":["67"],"value":"67"},"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 batch count model BC795, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/5; value 68 units with mass 3/5; value 72 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 69 units is mean-outcome(BC795).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"batch count","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 batch count model BC795, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/5; value 68 units with mass 3/5; value 72 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC795: 69 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-056-0001","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":{"64":"1/5","68":"3/5","72":"1/5"},"mean":"68","modes":["68"],"value":"69"},"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 batch count model BC796, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 1/6; value 67 units with mass 1/3; value 67 units with mass 1/3; value 73 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 67 units is mean-outcome(BC796).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"batch count","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 batch count model BC796, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 1/6; value 67 units with mass 1/3; value 67 units with mass 1/3; value 73 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC796: 67 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-057-0003","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":{"61":"1/6","67":"2/3","73":"1/6"},"mean":"67","modes":["67"],"value":"67"},"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 batch count model BC797, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/6; value 68 units with mass 1/3; value 68 units with mass 1/3; value 74 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 69 units is mean-outcome(BC797).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"batch count","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 batch count model BC797, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/6; value 68 units with mass 1/3; value 68 units with mass 1/3; value 74 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC797: 69 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-058-0023","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":{"62":"1/6","68":"2/3","74":"1/6"},"mean":"68","modes":["68"],"value":"69"},"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 batch count model BC798, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/6; value 69 units with mass 1/3; value 69 units with mass 1/3; value 75 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 69 units is mean-outcome(BC798).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"batch count","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 batch count model BC798, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/6; value 69 units with mass 1/3; value 69 units with mass 1/3; value 75 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC798: 69 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-059-0007","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: 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":{"63":"1/6","69":"2/3","75":"1/6"},"mean":"69","modes":["69"],"value":"69"},"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 batch count model BC799, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/6; value 70 units with mass 1/3; value 70 units with mass 1/3; value 76 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 = 71 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 71 units is mean-outcome(BC799).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"batch count","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 batch count model BC799, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/6; value 70 units with mass 1/3; value 70 units with mass 1/3; value 76 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 = 71 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under BC799: 71 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-060-0004","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":{"64":"1/6","70":"2/3","76":"1/6"},"mean":"70","modes":["70"],"value":"71"},"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 storage draw model SD820, version v7 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 1/3; value 101 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 = 98 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 98 units is mean-outcome(SD820).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"storage draw","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 storage draw model SD820, version v7 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 1/3; value 101 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 = 98 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD820: 98 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-061-0009","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: 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":{"101":"2/3","92":"1/3"},"mean":"98","modes":["101"],"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":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 storage draw model SD821, version v7 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 = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 100 units is mean-outcome(SD821).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"storage draw","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 storage draw model SD821, version v7 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 = 100 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD821: 100 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-062-0014","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":{"102":"2/3","93":"1/3"},"mean":"99","modes":["102"],"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":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 storage draw model SD822, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/3; value 103 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 mean-outcome(SD822).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"storage draw","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 storage draw model SD822, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/3; value 103 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: Mean under SD822: 100 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-063-0000","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: 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":{"103":"2/3","94":"1/3"},"mean":"100","modes":["103"],"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":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 storage draw model SD823, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 95 units with mass 1/3; value 104 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 = 102 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 102 units is mean-outcome(SD823).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"storage draw","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 storage draw model SD823, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 95 units with mass 1/3; value 104 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 = 102 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD823: 102 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"104":"2/3","95":"1/3"},"mean":"101","modes":["104"],"value":"102"},"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 storage draw model SD824, version v7 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 5/12; value 93 units with mass 1/3; value 98 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 mean-outcome(SD824).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"storage draw","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 storage draw model SD824, version v7 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 5/12; value 93 units with mass 1/3; value 98 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: Mean under SD824: 93 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-065-0000","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":{"90":"5/12","93":"1/3","98":"1/4"},"mean":"93","modes":["90"],"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 storage draw model SD825, version v7 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 = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 95 units is mean-outcome(SD825).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"storage draw","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 storage draw model SD825, version v7 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 = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD825: 95 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-066-0000","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":{"91":"5/12","94":"1/3","99":"1/4"},"mean":"94","modes":["91"],"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":"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 storage draw model SD826, version v7 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 5/12; value 95 units with mass 1/3; value 100 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 mean-outcome(SD826).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"storage draw","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 storage draw model SD826, version v7 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 5/12; value 95 units with mass 1/3; value 100 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: Mean under SD826: 95 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-067-0000","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: 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":{"100":"1/4","92":"5/12","95":"1/3"},"mean":"95","modes":["92"],"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":"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 storage draw model SD827, version v7 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 5/12; value 96 units with mass 1/3; 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 97 units is mean-outcome(SD827).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"storage draw","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 storage draw model SD827, version v7 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 5/12; value 96 units with mass 1/3; 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD827: 97 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-068-0001","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":"5/12","96":"1/3"},"mean":"96","modes":["93"],"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":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 storage draw model SD828, version v7 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 3/8; value 96 units with mass 3/8; value 100 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 = 191/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 191/2 units is mean-outcome(SD828).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"storage draw","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 storage draw model SD828, version v7 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 3/8; value 96 units with mass 3/8; value 100 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 = 191/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD828: 191/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-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: 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":{"100":"1/4","92":"3/8","96":"3/8"},"mean":"191/2","modes":["92","96"],"value":"191/2"},"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 storage draw model SD829, version v7 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 = 195/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 195/2 units is mean-outcome(SD829).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"storage draw","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 storage draw model SD829, version v7 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 = 195/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD829: 195/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-070-0005","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":{"101":"1/4","93":"3/8","97":"3/8"},"mean":"193/2","modes":["93","97"],"value":"195/2"},"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 storage draw model SD830, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 3/8; value 98 units with mass 3/8; value 102 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 = 195/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 195/2 units is mean-outcome(SD830).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"storage draw","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 storage draw model SD830, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 3/8; value 98 units with mass 3/8; value 102 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 = 195/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD830: 195/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-071-0003","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":{"102":"1/4","94":"3/8","98":"3/8"},"mean":"195/2","modes":["94","98"],"value":"195/2"},"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 storage draw model SD831, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 95 units with mass 3/8; value 99 units with mass 3/8; value 103 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 = 199/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 199/2 units is mean-outcome(SD831).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"storage draw","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 storage draw model SD831, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 95 units with mass 3/8; value 99 units with mass 3/8; value 103 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 = 199/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD831: 199/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-072-0000","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":{"103":"1/4","95":"3/8","99":"3/8"},"mean":"197/2","modes":["95","99"],"value":"199/2"},"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 storage draw model SD832, version v7 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 1/5; value 95 units with mass 3/5; value 99 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 = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 95 units is mean-outcome(SD832).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"storage draw","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 storage draw model SD832, version v7 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 1/5; value 95 units with mass 3/5; value 99 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 = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD832: 95 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-073-0002","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":{"91":"1/5","95":"3/5","99":"1/5"},"mean":"95","modes":["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":"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 storage draw model SD833, version v7 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 97 units is mean-outcome(SD833).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"storage draw","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 storage draw model SD833, version v7 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD833: 97 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-074-0001","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":"1/5","92":"1/5","96":"3/5"},"mean":"96","modes":["96"],"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 storage draw model SD834, version v7 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 1/5; value 97 units with mass 3/5; value 101 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 97 units is mean-outcome(SD834).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"storage draw","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 storage draw model SD834, version v7 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 1/5; value 97 units with mass 3/5; value 101 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD834: 97 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-075-0011","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: 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":{"101":"1/5","93":"1/5","97":"3/5"},"mean":"97","modes":["97"],"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 storage draw model SD835, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/5; value 98 units with mass 3/5; value 102 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 99 units is mean-outcome(SD835).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"storage draw","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 storage draw model SD835, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/5; value 98 units with mass 3/5; value 102 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD835: 99 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-076-0009","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: 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":"1/5","94":"1/5","98":"3/5"},"mean":"98","modes":["98"],"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":"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 storage draw model SD836, version v7 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 1/6; value 97 units with mass 1/3; value 97 units with mass 1/3; value 103 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 97 units is mean-outcome(SD836).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"storage draw","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 storage draw model SD836, version v7 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 1/6; value 97 units with mass 1/3; value 97 units with mass 1/3; value 103 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD836: 97 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-077-0005","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":{"103":"1/6","91":"1/6","97":"2/3"},"mean":"97","modes":["97"],"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":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 storage draw model SD837, version v7 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 99 units is mean-outcome(SD837).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"storage draw","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 storage draw model SD837, version v7 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD837: 99 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-078-0001","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":{"104":"1/6","92":"1/6","98":"2/3"},"mean":"98","modes":["98"],"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":"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 storage draw model SD838, version v7 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 1/6; value 99 units with mass 1/3; value 99 units with mass 1/3; value 105 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 99 units is mean-outcome(SD838).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"storage draw","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 storage draw model SD838, version v7 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 1/6; value 99 units with mass 1/3; value 99 units with mass 1/3; value 105 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD838: 99 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"105":"1/6","93":"1/6","99":"2/3"},"mean":"99","modes":["99"],"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":"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 storage draw model SD839, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/6; value 100 units with mass 1/3; value 100 units with mass 1/3; value 106 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 = 101 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 101 units is mean-outcome(SD839).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"storage draw","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 storage draw model SD839, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/6; value 100 units with mass 1/3; value 100 units with mass 1/3; value 106 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 = 101 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under SD839: 101 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-080-0003","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":{"100":"2/3","106":"1/6","94":"1/6"},"mean":"100","modes":["100"],"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 inspection score model IS860, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/3; value 131 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 = 128 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 128 units is mean-outcome(IS860).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"inspection score","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 inspection score model IS860, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/3; value 131 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 = 128 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS860: 128 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-081-0000","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":{"122":"1/3","131":"2/3"},"mean":"128","modes":["131"],"value":"128"},"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 inspection score model IS861, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/3; value 132 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 = 130 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 130 units is mean-outcome(IS861).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"inspection score","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 inspection score model IS861, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/3; value 132 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 = 130 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS861: 130 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-082-0001","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":{"123":"1/3","132":"2/3"},"mean":"129","modes":["132"],"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":"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 inspection score model IS862, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/3; value 133 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 = 130 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 130 units is mean-outcome(IS862).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"inspection score","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 inspection score model IS862, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/3; value 133 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 = 130 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS862: 130 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-083-0003","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":{"124":"1/3","133":"2/3"},"mean":"130","modes":["133"],"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":"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 inspection score model IS863, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 125 units with mass 1/3; value 134 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 = 132 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 132 units is mean-outcome(IS863).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"inspection score","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 inspection score model IS863, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 125 units with mass 1/3; value 134 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 = 132 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS863: 132 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-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: 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":{"125":"1/3","134":"2/3"},"mean":"131","modes":["134"],"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":"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 inspection score model IS864, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 120 units with mass 5/12; value 123 units with mass 1/3; value 128 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 = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 123 units is mean-outcome(IS864).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"inspection score","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 inspection score model IS864, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 120 units with mass 5/12; value 123 units with mass 1/3; value 128 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 = 123 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS864: 123 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-085-0004","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":{"120":"5/12","123":"1/3","128":"1/4"},"mean":"123","modes":["120"],"value":"123"},"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 inspection score model IS865, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 5/12; value 124 units with mass 1/3; value 129 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 = 125 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 125 units is mean-outcome(IS865).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"inspection score","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 inspection score model IS865, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 5/12; value 124 units with mass 1/3; value 129 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 = 125 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS865: 125 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-086-0005","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":{"121":"5/12","124":"1/3","129":"1/4"},"mean":"124","modes":["121"],"value":"125"},"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 inspection score model IS866, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 5/12; value 125 units with mass 1/3; value 130 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 = 125 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 125 units is mean-outcome(IS866).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"inspection score","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 inspection score model IS866, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 5/12; value 125 units with mass 1/3; value 130 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 = 125 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS866: 125 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"122":"5/12","125":"1/3","130":"1/4"},"mean":"125","modes":["122"],"value":"125"},"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 inspection score model IS867, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 5/12; value 126 units with mass 1/3; value 131 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 127 units is mean-outcome(IS867).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"inspection score","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 inspection score model IS867, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 5/12; value 126 units with mass 1/3; value 131 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS867: 127 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"123":"5/12","126":"1/3","131":"1/4"},"mean":"126","modes":["123"],"value":"127"},"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 inspection score model IS868, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 3/8; value 126 units with mass 3/8; value 130 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 = 251/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 251/2 units is mean-outcome(IS868).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"inspection score","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 inspection score model IS868, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 3/8; value 126 units with mass 3/8; value 130 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 = 251/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS868: 251/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-089-0006","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: 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":{"122":"3/8","126":"3/8","130":"1/4"},"mean":"251/2","modes":["122","126"],"value":"251/2"},"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 inspection score model IS869, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 3/8; value 127 units with mass 3/8; value 131 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 = 255/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 255/2 units is mean-outcome(IS869).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"inspection score","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 inspection score model IS869, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 3/8; value 127 units with mass 3/8; value 131 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 = 255/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS869: 255/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-090-0007","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: 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":{"123":"3/8","127":"3/8","131":"1/4"},"mean":"253/2","modes":["123","127"],"value":"255/2"},"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 inspection score model IS870, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 3/8; value 128 units with mass 3/8; value 132 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 = 255/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 255/2 units is mean-outcome(IS870).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"inspection score","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 inspection score model IS870, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 3/8; value 128 units with mass 3/8; value 132 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 = 255/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS870: 255/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-091-0000","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: 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":{"124":"3/8","128":"3/8","132":"1/4"},"mean":"255/2","modes":["124","128"],"value":"255/2"},"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 inspection score model IS871, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 125 units with mass 3/8; value 129 units with mass 3/8; value 133 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 = 259/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 259/2 units is mean-outcome(IS871).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"inspection score","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 inspection score model IS871, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 125 units with mass 3/8; value 129 units with mass 3/8; value 133 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 = 259/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS871: 259/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"125":"3/8","129":"3/8","133":"1/4"},"mean":"257/2","modes":["125","129"],"value":"259/2"},"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 inspection score model IS872, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/5; value 125 units with mass 3/5; value 129 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 = 125 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 125 units is mean-outcome(IS872).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"inspection score","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 inspection score model IS872, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/5; value 125 units with mass 3/5; value 129 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 = 125 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS872: 125 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-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: 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":{"121":"1/5","125":"3/5","129":"1/5"},"mean":"125","modes":["125"],"value":"125"},"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 inspection score model IS873, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/5; value 126 units with mass 3/5; value 130 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 127 units is mean-outcome(IS873).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"inspection score","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 inspection score model IS873, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/5; value 126 units with mass 3/5; value 130 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS873: 127 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-094-0000","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":{"122":"1/5","126":"3/5","130":"1/5"},"mean":"126","modes":["126"],"value":"127"},"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 inspection score model IS874, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/5; value 127 units with mass 3/5; value 131 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 127 units is mean-outcome(IS874).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"inspection score","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 inspection score model IS874, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/5; value 127 units with mass 3/5; value 131 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS874: 127 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"123":"1/5","127":"3/5","131":"1/5"},"mean":"127","modes":["127"],"value":"127"},"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 inspection score model IS875, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/5; value 128 units with mass 3/5; value 132 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 129 units is mean-outcome(IS875).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"inspection score","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 inspection score model IS875, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/5; value 128 units with mass 3/5; value 132 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS875: 129 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"124":"1/5","128":"3/5","132":"1/5"},"mean":"128","modes":["128"],"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":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 inspection score model IS876, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/6; value 127 units with mass 1/3; value 127 units with mass 1/3; value 133 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 127 units is mean-outcome(IS876).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"inspection score","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 inspection score model IS876, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/6; value 127 units with mass 1/3; value 127 units with mass 1/3; value 133 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS876: 127 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-097-0011","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":{"121":"1/6","127":"2/3","133":"1/6"},"mean":"127","modes":["127"],"value":"127"},"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 inspection score model IS877, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/6; value 128 units with mass 1/3; value 128 units with mass 1/3; value 134 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 129 units is mean-outcome(IS877).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"inspection score","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 inspection score model IS877, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/6; value 128 units with mass 1/3; value 128 units with mass 1/3; value 134 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS877: 129 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-098-0019","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":{"122":"1/6","128":"2/3","134":"1/6"},"mean":"128","modes":["128"],"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":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 inspection score model IS878, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/6; value 129 units with mass 1/3; value 129 units with mass 1/3; value 135 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 129 units is mean-outcome(IS878).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"inspection score","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 inspection score model IS878, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/6; value 129 units with mass 1/3; value 129 units with mass 1/3; value 135 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS878: 129 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-099-0000","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":{"123":"1/6","129":"2/3","135":"1/6"},"mean":"129","modes":["129"],"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":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 inspection score model IS879, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/6; value 130 units with mass 1/3; value 130 units with mass 1/3; value 136 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 = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 131 units is mean-outcome(IS879).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"inspection score","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 inspection score model IS879, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/6; value 130 units with mass 1/3; value 130 units with mass 1/3; value 136 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 = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under IS879: 131 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-100-0009","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: 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":{"124":"1/6","130":"2/3","136":"1/6"},"mean":"130","modes":["130"],"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":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 transit interval model TI900, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/3; value 161 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 = 158 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 158 units is mean-outcome(TI900).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"transit interval","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 transit interval model TI900, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/3; value 161 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 = 158 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI900: 158 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-101-0002","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: 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":{"152":"1/3","161":"2/3"},"mean":"158","modes":["161"],"value":"158"},"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 transit interval model TI901, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/3; value 162 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 = 160 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 160 units is mean-outcome(TI901).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"transit interval","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 transit interval model TI901, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/3; value 162 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 = 160 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI901: 160 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-102-0003","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":{"153":"1/3","162":"2/3"},"mean":"159","modes":["162"],"value":"160"},"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 transit interval model TI902, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/3; value 163 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 = 160 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 160 units is mean-outcome(TI902).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"transit interval","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 transit interval model TI902, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/3; value 163 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 = 160 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI902: 160 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-103-0004","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: 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":{"154":"1/3","163":"2/3"},"mean":"160","modes":["163"],"value":"160"},"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 transit interval model TI903, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/3; value 164 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 = 162 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 162 units is mean-outcome(TI903).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"transit interval","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 transit interval model TI903, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/3; value 164 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 = 162 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI903: 162 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-104-0002","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":{"155":"1/3","164":"2/3"},"mean":"161","modes":["164"],"value":"162"},"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 transit interval model TI904, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 150 units with mass 5/12; value 153 units with mass 1/3; value 158 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 = 153 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 153 units is mean-outcome(TI904).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"transit interval","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 transit interval model TI904, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 150 units with mass 5/12; value 153 units with mass 1/3; value 158 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 = 153 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI904: 153 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-105-0002","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: 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":{"150":"5/12","153":"1/3","158":"1/4"},"mean":"153","modes":["150"],"value":"153"},"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 transit interval model TI905, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 5/12; value 154 units with mass 1/3; value 159 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 = 155 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 155 units is mean-outcome(TI905).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"transit interval","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 transit interval model TI905, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 5/12; value 154 units with mass 1/3; value 159 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 = 155 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI905: 155 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-106-0007","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: 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":{"151":"5/12","154":"1/3","159":"1/4"},"mean":"154","modes":["151"],"value":"155"},"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 transit interval model TI906, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 5/12; value 155 units with mass 1/3; value 160 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 = 155 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 155 units is mean-outcome(TI906).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"transit interval","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 transit interval model TI906, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 5/12; value 155 units with mass 1/3; value 160 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 = 155 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI906: 155 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-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: 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":{"152":"5/12","155":"1/3","160":"1/4"},"mean":"155","modes":["152"],"value":"155"},"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 transit interval model TI907, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 5/12; value 156 units with mass 1/3; value 161 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 157 units is mean-outcome(TI907).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"transit interval","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 transit interval model TI907, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 5/12; value 156 units with mass 1/3; value 161 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI907: 157 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-108-0000","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":{"153":"5/12","156":"1/3","161":"1/4"},"mean":"156","modes":["153"],"value":"157"},"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 transit interval model TI908, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 3/8; value 156 units with mass 3/8; value 160 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 = 311/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 311/2 units is mean-outcome(TI908).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"transit interval","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 transit interval model TI908, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 3/8; value 156 units with mass 3/8; value 160 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 = 311/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI908: 311/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-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: 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":{"152":"3/8","156":"3/8","160":"1/4"},"mean":"311/2","modes":["152","156"],"value":"311/2"},"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 transit interval model TI909, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 3/8; value 157 units with mass 3/8; value 161 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 = 315/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 315/2 units is mean-outcome(TI909).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"transit interval","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 transit interval model TI909, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 3/8; value 157 units with mass 3/8; value 161 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 = 315/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI909: 315/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-110-0001","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":{"153":"3/8","157":"3/8","161":"1/4"},"mean":"313/2","modes":["153","157"],"value":"315/2"},"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 transit interval model TI910, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 3/8; value 158 units with mass 3/8; value 162 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 = 315/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 315/2 units is mean-outcome(TI910).","answer":"Claim true: yes; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"transit interval","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 transit interval model TI910, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 3/8; value 158 units with mass 3/8; value 162 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 = 315/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI910: 315/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-111-0003","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: 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":{"154":"3/8","158":"3/8","162":"1/4"},"mean":"315/2","modes":["154","158"],"value":"315/2"},"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 transit interval model TI911, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 3/8; value 159 units with mass 3/8; value 163 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 = 319/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 319/2 units is mean-outcome(TI911).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"transit interval","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 transit interval model TI911, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 3/8; value 159 units with mass 3/8; value 163 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 = 319/2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI911: 319/2 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-112-0001","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":{"155":"3/8","159":"3/8","163":"1/4"},"mean":"317/2","modes":["155","159"],"value":"319/2"},"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 transit interval model TI912, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 1/5; value 155 units with mass 3/5; value 159 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 = 155 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 155 units is mean-outcome(TI912).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"transit interval","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 transit interval model TI912, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 1/5; value 155 units with mass 3/5; value 159 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 = 155 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI912: 155 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"151":"1/5","155":"3/5","159":"1/5"},"mean":"155","modes":["155"],"value":"155"},"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 transit interval model TI913, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/5; value 156 units with mass 3/5; value 160 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 157 units is mean-outcome(TI913).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"transit interval","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 transit interval model TI913, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/5; value 156 units with mass 3/5; value 160 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI913: 157 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-114-0003","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":{"152":"1/5","156":"3/5","160":"1/5"},"mean":"156","modes":["156"],"value":"157"},"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 transit interval model TI914, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/5; value 157 units with mass 3/5; value 161 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 157 units is mean-outcome(TI914).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"transit interval","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 transit interval model TI914, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/5; value 157 units with mass 3/5; value 161 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI914: 157 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-115-0000","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":{"153":"1/5","157":"3/5","161":"1/5"},"mean":"157","modes":["157"],"value":"157"},"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 transit interval model TI915, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/5; value 158 units with mass 3/5; value 162 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 159 units is mean-outcome(TI915).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"transit interval","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 transit interval model TI915, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/5; value 158 units with mass 3/5; value 162 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI915: 159 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-116-0014","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":{"154":"1/5","158":"3/5","162":"1/5"},"mean":"158","modes":["158"],"value":"159"},"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 transit interval model TI916, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 1/6; value 157 units with mass 1/3; value 157 units with mass 1/3; value 163 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 157 units is mean-outcome(TI916).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"transit interval","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 transit interval model TI916, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 1/6; value 157 units with mass 1/3; value 157 units with mass 1/3; value 163 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI916: 157 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-117-0008","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: 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":{"151":"1/6","157":"2/3","163":"1/6"},"mean":"157","modes":["157"],"value":"157"},"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 transit interval model TI917, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/6; value 158 units with mass 1/3; value 158 units with mass 1/3; value 164 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 159 units is mean-outcome(TI917).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"transit interval","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 transit interval model TI917, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/6; value 158 units with mass 1/3; value 158 units with mass 1/3; value 164 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI917: 159 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-118-0001","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":{"152":"1/6","158":"2/3","164":"1/6"},"mean":"158","modes":["158"],"value":"159"},"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 transit interval model TI918, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/6; value 159 units with mass 1/3; value 159 units with mass 1/3; value 165 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 159 units is mean-outcome(TI918).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"transit interval","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 transit interval model TI918, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/6; value 159 units with mass 1/3; value 159 units with mass 1/3; value 165 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI918: 159 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-119-0000","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: 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":{"153":"1/6","159":"2/3","165":"1/6"},"mean":"159","modes":["159"],"value":"159"},"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 transit interval model TI919, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/6; value 160 units with mass 1/3; value 160 units with mass 1/3; value 166 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 = 161 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 161 units is mean-outcome(TI919).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"transit interval","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 transit interval model TI919, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/6; value 160 units with mass 1/3; value 160 units with mass 1/3; value 166 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 = 161 units. No claim that the model is correct or guarantees a trial is supplied. Statement: Mean under TI919: 161 units.","id":"SAT-OUTCOME-COMPACT-20260918-mean-outcome-120-0002","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":{"154":"1/6","160":"2/3","166":"1/6"},"mean":"160","modes":["160"],"value":"161"},"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 relay yield model RY700, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/3; value 11 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 likeliest-outcome(RY700).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"relay 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 relay yield model RY700, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/3; value 11 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: A most probable outcome under RY700: 11 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-001-0004","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":{"11":"2/3","2":"1/3"},"mean":"8","modes":["11"],"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":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 relay yield model RY701, version v7 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 1/3; value 12 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 = 13 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 13 units is likeliest-outcome(RY701).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"relay 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 relay yield model RY701, version v7 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 1/3; value 12 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 = 13 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY701: 13 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-002-0000","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":{"12":"2/3","3":"1/3"},"mean":"9","modes":["12"],"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 relay yield model RY702, version v7 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 1/3; value 13 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 = 13 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 13 units is likeliest-outcome(RY702).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"relay 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 relay yield model RY702, version v7 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 1/3; value 13 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 = 13 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY702: 13 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-003-0002","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":{"13":"2/3","4":"1/3"},"mean":"10","modes":["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 relay yield model RY703, version v7 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 = 15 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 15 units is likeliest-outcome(RY703).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"relay 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 relay yield model RY703, version v7 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 = 15 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY703: 15 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-004-0000","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":{"14":"2/3","5":"1/3"},"mean":"11","modes":["14"],"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":"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 relay yield model RY704, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 5/12; value 3 units with mass 1/3; value 8 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 = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 0 units is likeliest-outcome(RY704).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"relay 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 relay yield model RY704, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 0 units with mass 5/12; value 3 units with mass 1/3; value 8 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 = 0 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY704: 0 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-005-0007","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":{"0":"5/12","3":"1/3","8":"1/4"},"mean":"3","modes":["0"],"value":"0"},"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 relay yield model RY705, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 5/12; value 4 units with mass 1/3; value 9 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 = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(RY705).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"relay 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 relay yield model RY705, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 5/12; value 4 units with mass 1/3; value 9 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 = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY705: 2 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"1":"5/12","4":"1/3","9":"1/4"},"mean":"4","modes":["1"],"value":"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":"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 relay yield model RY706, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 5/12; value 5 units with mass 1/3; value 10 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 = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(RY706).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"relay 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 relay yield model RY706, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 5/12; value 5 units with mass 1/3; value 10 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 = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY706: 2 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-007-0004","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":{"10":"1/4","2":"5/12","5":"1/3"},"mean":"5","modes":["2"],"value":"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":"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 relay yield model RY707, version v7 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 = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(RY707).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"relay 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 relay yield model RY707, version v7 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 = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY707: 4 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"11":"1/4","3":"5/12","6":"1/3"},"mean":"6","modes":["3"],"value":"4"},"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 relay yield model RY708, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 3/8; value 6 units with mass 3/8; value 10 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 = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 2 units is likeliest-outcome(RY708).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"relay 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 relay yield model RY708, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 3/8; value 6 units with mass 3/8; value 10 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 = 2 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY708: 2 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-009-0021","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":{"10":"1/4","2":"3/8","6":"3/8"},"mean":"11/2","modes":["2","6"],"value":"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":"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 relay yield model RY709, version v7 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 3/8; value 7 units with mass 3/8; 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 = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(RY709).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"relay 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 relay yield model RY709, version v7 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 3/8; value 7 units with mass 3/8; 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 = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY709: 4 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":"1/4","3":"3/8","7":"3/8"},"mean":"13/2","modes":["3","7"],"value":"4"},"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 relay yield model RY710, version v7 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 3/8; value 8 units with mass 3/8; value 12 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 = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 4 units is likeliest-outcome(RY710).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"relay 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 relay yield model RY710, version v7 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 3/8; value 8 units with mass 3/8; value 12 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 = 4 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY710: 4 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-011-0006","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":{"12":"1/4","4":"3/8","8":"3/8"},"mean":"15/2","modes":["4","8"],"value":"4"},"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 relay yield model RY711, version v7 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 = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 6 units is likeliest-outcome(RY711).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"relay 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 relay yield model RY711, version v7 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 = 6 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY711: 6 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-012-0002","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":{"13":"1/4","5":"3/8","9":"3/8"},"mean":"17/2","modes":["5","9"],"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":"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 relay yield model RY712, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/5; value 9 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 = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 5 units is likeliest-outcome(RY712).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"relay 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 relay yield model RY712, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/5; value 5 units with mass 3/5; value 9 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 = 5 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY712: 5 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-013-0002","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":{"1":"1/5","5":"3/5","9":"1/5"},"mean":"5","modes":["5"],"value":"5"},"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 relay yield model RY713, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/5; value 10 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is likeliest-outcome(RY713).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"relay 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 relay yield model RY713, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/5; value 6 units with mass 3/5; value 10 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY713: 7 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-014-0018","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":"1/5","2":"1/5","6":"3/5"},"mean":"6","modes":["6"],"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 relay yield model RY714, version v7 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 1/5; value 7 units with mass 3/5; value 11 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is likeliest-outcome(RY714).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"relay 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 relay yield model RY714, version v7 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 1/5; value 7 units with mass 3/5; value 11 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY714: 7 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-015-0018","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":{"11":"1/5","3":"1/5","7":"3/5"},"mean":"7","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 relay yield model RY715, version v7 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 9 units is likeliest-outcome(RY715).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"relay 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 relay yield model RY715, version v7 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY715: 9 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-016-0000","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":{"12":"1/5","4":"1/5","8":"3/5"},"mean":"8","modes":["8"],"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":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 relay yield model RY716, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/6; value 7 units with mass 1/3; value 7 units with mass 1/3; value 13 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 7 units is likeliest-outcome(RY716).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"relay 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 relay yield model RY716, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 1 units with mass 1/6; value 7 units with mass 1/3; value 7 units with mass 1/3; value 13 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 = 7 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY716: 7 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-017-0006","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: 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":{"1":"1/6","13":"1/6","7":"2/3"},"mean":"7","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":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 relay yield model RY717, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/6; value 8 units with mass 1/3; value 8 units with mass 1/3; value 14 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 9 units is likeliest-outcome(RY717).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"relay 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 relay yield model RY717, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 2 units with mass 1/6; value 8 units with mass 1/3; value 8 units with mass 1/3; value 14 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY717: 9 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-018-0015","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":{"14":"1/6","2":"1/6","8":"2/3"},"mean":"8","modes":["8"],"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":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 relay yield model RY718, version v7 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 1/6; value 9 units with mass 1/3; value 9 units with mass 1/3; value 15 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 9 units is likeliest-outcome(RY718).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"relay 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 relay yield model RY718, version v7 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 1/6; value 9 units with mass 1/3; value 9 units with mass 1/3; value 15 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 = 9 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY718: 9 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-019-0000","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: 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":{"15":"1/6","3":"1/6","9":"2/3"},"mean":"9","modes":["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":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 relay yield model RY719, version v7 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 = 11 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 11 units is likeliest-outcome(RY719).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"relay 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 relay yield model RY719, version v7 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 = 11 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RY719: 11 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":"2/3","16":"1/6","4":"1/6"},"mean":"10","modes":["10"],"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 repair duration model RD740, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/3; value 41 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 = 41 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41 units is likeliest-outcome(RD740).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"repair duration","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 repair duration model RD740, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/3; value 41 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 = 41 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD740: 41 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-021-0021","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":{"32":"1/3","41":"2/3"},"mean":"38","modes":["41"],"value":"41"},"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 repair duration model RD741, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/3; value 42 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 = 43 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 43 units is likeliest-outcome(RD741).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"repair duration","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 repair duration model RD741, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/3; value 42 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 = 43 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD741: 43 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-022-0006","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":{"33":"1/3","42":"2/3"},"mean":"39","modes":["42"],"value":"43"},"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 repair duration model RD742, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/3; value 43 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 = 43 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 43 units is likeliest-outcome(RD742).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"repair duration","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 repair duration model RD742, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/3; value 43 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 = 43 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD742: 43 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-023-0000","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: 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":{"34":"1/3","43":"2/3"},"mean":"40","modes":["43"],"value":"43"},"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 repair duration model RD743, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 35 units with mass 1/3; value 44 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 = 45 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 45 units is likeliest-outcome(RD743).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"repair duration","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 repair duration model RD743, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 35 units with mass 1/3; value 44 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 = 45 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD743: 45 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":{"35":"1/3","44":"2/3"},"mean":"41","modes":["44"],"value":"45"},"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 repair duration model RD744, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 30 units with mass 5/12; value 33 units with mass 1/3; value 38 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 = 30 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 30 units is likeliest-outcome(RD744).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"repair duration","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 repair duration model RD744, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 30 units with mass 5/12; value 33 units with mass 1/3; value 38 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 = 30 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD744: 30 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-025-0008","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":{"30":"5/12","33":"1/3","38":"1/4"},"mean":"33","modes":["30"],"value":"30"},"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 repair duration model RD745, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 5/12; value 34 units with mass 1/3; value 39 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 = 32 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 32 units is likeliest-outcome(RD745).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"repair duration","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 repair duration model RD745, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 5/12; value 34 units with mass 1/3; value 39 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 = 32 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD745: 32 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-026-0001","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":{"31":"5/12","34":"1/3","39":"1/4"},"mean":"34","modes":["31"],"value":"32"},"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 repair duration model RD746, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 5/12; value 35 units with mass 1/3; value 40 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 = 32 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 32 units is likeliest-outcome(RD746).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"repair duration","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 repair duration model RD746, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 5/12; value 35 units with mass 1/3; value 40 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 = 32 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD746: 32 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-027-0000","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":{"32":"5/12","35":"1/3","40":"1/4"},"mean":"35","modes":["32"],"value":"32"},"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 repair duration model RD747, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 5/12; value 36 units with mass 1/3; value 41 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 = 34 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 34 units is likeliest-outcome(RD747).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"repair duration","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 repair duration model RD747, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 5/12; value 36 units with mass 1/3; value 41 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 = 34 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD747: 34 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":{"33":"5/12","36":"1/3","41":"1/4"},"mean":"36","modes":["33"],"value":"34"},"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 repair duration model RD748, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 3/8; value 36 units with mass 3/8; value 40 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 = 32 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 32 units is likeliest-outcome(RD748).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"repair duration","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 repair duration model RD748, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 3/8; value 36 units with mass 3/8; value 40 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 = 32 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD748: 32 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-029-0000","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":{"32":"3/8","36":"3/8","40":"1/4"},"mean":"71/2","modes":["32","36"],"value":"32"},"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 repair duration model RD749, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 3/8; value 37 units with mass 3/8; value 41 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 = 34 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 34 units is likeliest-outcome(RD749).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"repair duration","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 repair duration model RD749, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 3/8; value 37 units with mass 3/8; value 41 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 = 34 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD749: 34 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-030-0001","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":{"33":"3/8","37":"3/8","41":"1/4"},"mean":"73/2","modes":["33","37"],"value":"34"},"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 repair duration model RD750, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 3/8; value 38 units with mass 3/8; value 42 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 = 34 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 34 units is likeliest-outcome(RD750).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"repair duration","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 repair duration model RD750, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 3/8; value 38 units with mass 3/8; value 42 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 = 34 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD750: 34 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-031-0003","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: 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":{"34":"3/8","38":"3/8","42":"1/4"},"mean":"75/2","modes":["34","38"],"value":"34"},"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 repair duration model RD751, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 35 units with mass 3/8; value 39 units with mass 3/8; value 43 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 = 36 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 36 units is likeliest-outcome(RD751).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"repair duration","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 repair duration model RD751, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 35 units with mass 3/8; value 39 units with mass 3/8; value 43 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 = 36 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD751: 36 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-032-0002","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":{"35":"3/8","39":"3/8","43":"1/4"},"mean":"77/2","modes":["35","39"],"value":"36"},"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 repair duration model RD752, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 1/5; value 35 units with mass 3/5; value 39 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 = 35 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 35 units is likeliest-outcome(RD752).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"repair duration","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 repair duration model RD752, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 1/5; value 35 units with mass 3/5; value 39 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 = 35 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD752: 35 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-033-0001","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":{"31":"1/5","35":"3/5","39":"1/5"},"mean":"35","modes":["35"],"value":"35"},"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 repair duration model RD753, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/5; value 36 units with mass 3/5; value 40 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 37 units is likeliest-outcome(RD753).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"repair duration","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 repair duration model RD753, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/5; value 36 units with mass 3/5; value 40 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD753: 37 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-034-0002","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":{"32":"1/5","36":"3/5","40":"1/5"},"mean":"36","modes":["36"],"value":"37"},"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 repair duration model RD754, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/5; value 37 units with mass 3/5; value 41 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 37 units is likeliest-outcome(RD754).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"repair duration","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 repair duration model RD754, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/5; value 37 units with mass 3/5; value 41 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD754: 37 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-035-0003","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: 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":{"33":"1/5","37":"3/5","41":"1/5"},"mean":"37","modes":["37"],"value":"37"},"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 repair duration model RD755, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/5; value 38 units with mass 3/5; value 42 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 39 units is likeliest-outcome(RD755).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"repair duration","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 repair duration model RD755, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/5; value 38 units with mass 3/5; value 42 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD755: 39 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-036-0000","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":{"34":"1/5","38":"3/5","42":"1/5"},"mean":"38","modes":["38"],"value":"39"},"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 repair duration model RD756, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 1/6; value 37 units with mass 1/3; value 37 units with mass 1/3; value 43 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 37 units is likeliest-outcome(RD756).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"repair duration","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 repair duration model RD756, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 31 units with mass 1/6; value 37 units with mass 1/3; value 37 units with mass 1/3; value 43 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 = 37 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD756: 37 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-037-0002","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":{"31":"1/6","37":"2/3","43":"1/6"},"mean":"37","modes":["37"],"value":"37"},"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 repair duration model RD757, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/6; value 38 units with mass 1/3; value 38 units with mass 1/3; value 44 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 39 units is likeliest-outcome(RD757).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"repair duration","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 repair duration model RD757, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 32 units with mass 1/6; value 38 units with mass 1/3; value 38 units with mass 1/3; value 44 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD757: 39 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-038-0001","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":{"32":"1/6","38":"2/3","44":"1/6"},"mean":"38","modes":["38"],"value":"39"},"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 repair duration model RD758, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/6; value 39 units with mass 1/3; value 39 units with mass 1/3; value 45 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 39 units is likeliest-outcome(RD758).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"repair duration","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 repair duration model RD758, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 33 units with mass 1/6; value 39 units with mass 1/3; value 39 units with mass 1/3; value 45 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 = 39 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD758: 39 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-039-0002","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: 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":{"33":"1/6","39":"2/3","45":"1/6"},"mean":"39","modes":["39"],"value":"39"},"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 repair duration model RD759, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/6; value 40 units with mass 1/3; value 40 units with mass 1/3; value 46 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 = 41 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 41 units is likeliest-outcome(RD759).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"repair duration","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 repair duration model RD759, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 34 units with mass 1/6; value 40 units with mass 1/3; value 40 units with mass 1/3; value 46 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 = 41 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under RD759: 41 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-040-0002","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":{"34":"1/6","40":"2/3","46":"1/6"},"mean":"40","modes":["40"],"value":"41"},"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 batch count model BC780, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/3; value 71 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 = 71 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 71 units is likeliest-outcome(BC780).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"batch count","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 batch count model BC780, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/3; value 71 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 = 71 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC780: 71 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-041-0004","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":{"62":"1/3","71":"2/3"},"mean":"68","modes":["71"],"value":"71"},"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 batch count model BC781, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/3; value 72 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 = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 73 units is likeliest-outcome(BC781).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"batch count","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 batch count model BC781, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/3; value 72 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 = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC781: 73 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-042-0002","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":{"63":"1/3","72":"2/3"},"mean":"69","modes":["72"],"value":"73"},"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 batch count model BC782, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/3; value 73 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 = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 73 units is likeliest-outcome(BC782).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"batch count","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 batch count model BC782, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/3; value 73 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 = 73 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC782: 73 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"64":"1/3","73":"2/3"},"mean":"70","modes":["73"],"value":"73"},"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 batch count model BC783, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 65 units with mass 1/3; value 74 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 = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 75 units is likeliest-outcome(BC783).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"batch count","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 batch count model BC783, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 65 units with mass 1/3; value 74 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 = 75 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC783: 75 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-044-0002","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":{"65":"1/3","74":"2/3"},"mean":"71","modes":["74"],"value":"75"},"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 batch count model BC784, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 60 units with mass 5/12; value 63 units with mass 1/3; value 68 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 = 60 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 60 units is likeliest-outcome(BC784).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"batch count","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 batch count model BC784, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 60 units with mass 5/12; value 63 units with mass 1/3; value 68 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 = 60 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC784: 60 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-045-0005","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":{"60":"5/12","63":"1/3","68":"1/4"},"mean":"63","modes":["60"],"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":"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 batch count model BC785, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 5/12; value 64 units with mass 1/3; value 69 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 = 62 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 62 units is likeliest-outcome(BC785).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"batch count","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 batch count model BC785, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 5/12; value 64 units with mass 1/3; value 69 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 = 62 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC785: 62 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-046-0000","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":{"61":"5/12","64":"1/3","69":"1/4"},"mean":"64","modes":["61"],"value":"62"},"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 batch count model BC786, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 5/12; value 65 units with mass 1/3; value 70 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 = 62 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 62 units is likeliest-outcome(BC786).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"batch count","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 batch count model BC786, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 5/12; value 65 units with mass 1/3; value 70 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 = 62 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC786: 62 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-047-0001","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":{"62":"5/12","65":"1/3","70":"1/4"},"mean":"65","modes":["62"],"value":"62"},"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 batch count model BC787, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 5/12; value 66 units with mass 1/3; value 71 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 = 64 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 64 units is likeliest-outcome(BC787).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"batch count","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 batch count model BC787, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 5/12; value 66 units with mass 1/3; value 71 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 = 64 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC787: 64 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-048-0000","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":{"63":"5/12","66":"1/3","71":"1/4"},"mean":"66","modes":["63"],"value":"64"},"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 batch count model BC788, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 3/8; value 66 units with mass 3/8; value 70 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 = 62 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 62 units is likeliest-outcome(BC788).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"batch count","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 batch count model BC788, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 3/8; value 66 units with mass 3/8; value 70 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 = 62 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC788: 62 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-049-0006","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":{"62":"3/8","66":"3/8","70":"1/4"},"mean":"131/2","modes":["62","66"],"value":"62"},"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 batch count model BC789, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 3/8; value 67 units with mass 3/8; value 71 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 = 64 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 64 units is likeliest-outcome(BC789).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"batch count","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 batch count model BC789, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 3/8; value 67 units with mass 3/8; value 71 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 = 64 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC789: 64 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-050-0001","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":{"63":"3/8","67":"3/8","71":"1/4"},"mean":"133/2","modes":["63","67"],"value":"64"},"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 batch count model BC790, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 3/8; value 68 units with mass 3/8; value 72 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 = 64 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 64 units is likeliest-outcome(BC790).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"batch count","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 batch count model BC790, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 3/8; value 68 units with mass 3/8; value 72 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 = 64 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC790: 64 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":{"64":"3/8","68":"3/8","72":"1/4"},"mean":"135/2","modes":["64","68"],"value":"64"},"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 batch count model BC791, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 65 units with mass 3/8; value 69 units with mass 3/8; value 73 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 = 66 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 66 units is likeliest-outcome(BC791).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"batch count","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 batch count model BC791, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 65 units with mass 3/8; value 69 units with mass 3/8; value 73 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 = 66 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC791: 66 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-052-0003","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":{"65":"3/8","69":"3/8","73":"1/4"},"mean":"137/2","modes":["65","69"],"value":"66"},"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 batch count model BC792, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 1/5; value 65 units with mass 3/5; value 69 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 = 65 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 65 units is likeliest-outcome(BC792).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"batch count","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 batch count model BC792, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 1/5; value 65 units with mass 3/5; value 69 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 = 65 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC792: 65 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-053-0002","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":{"61":"1/5","65":"3/5","69":"1/5"},"mean":"65","modes":["65"],"value":"65"},"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 batch count model BC793, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/5; value 66 units with mass 3/5; value 70 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 67 units is likeliest-outcome(BC793).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"batch count","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 batch count model BC793, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/5; value 66 units with mass 3/5; value 70 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC793: 67 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-054-0008","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: 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":{"62":"1/5","66":"3/5","70":"1/5"},"mean":"66","modes":["66"],"value":"67"},"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 batch count model BC794, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/5; value 67 units with mass 3/5; value 71 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 67 units is likeliest-outcome(BC794).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"batch count","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 batch count model BC794, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/5; value 67 units with mass 3/5; value 71 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC794: 67 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-055-0005","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: 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":{"63":"1/5","67":"3/5","71":"1/5"},"mean":"67","modes":["67"],"value":"67"},"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 batch count model BC795, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/5; value 68 units with mass 3/5; value 72 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 69 units is likeliest-outcome(BC795).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"batch count","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 batch count model BC795, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/5; value 68 units with mass 3/5; value 72 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC795: 69 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-056-0002","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":{"64":"1/5","68":"3/5","72":"1/5"},"mean":"68","modes":["68"],"value":"69"},"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 batch count model BC796, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 1/6; value 67 units with mass 1/3; value 67 units with mass 1/3; value 73 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 67 units is likeliest-outcome(BC796).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"batch count","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 batch count model BC796, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 61 units with mass 1/6; value 67 units with mass 1/3; value 67 units with mass 1/3; value 73 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 = 67 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC796: 67 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-057-0000","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":{"61":"1/6","67":"2/3","73":"1/6"},"mean":"67","modes":["67"],"value":"67"},"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 batch count model BC797, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/6; value 68 units with mass 1/3; value 68 units with mass 1/3; value 74 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 69 units is likeliest-outcome(BC797).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"batch count","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 batch count model BC797, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 62 units with mass 1/6; value 68 units with mass 1/3; value 68 units with mass 1/3; value 74 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC797: 69 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-058-0003","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":{"62":"1/6","68":"2/3","74":"1/6"},"mean":"68","modes":["68"],"value":"69"},"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 batch count model BC798, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/6; value 69 units with mass 1/3; value 69 units with mass 1/3; value 75 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 69 units is likeliest-outcome(BC798).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"batch count","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 batch count model BC798, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 63 units with mass 1/6; value 69 units with mass 1/3; value 69 units with mass 1/3; value 75 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 = 69 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC798: 69 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":{"63":"1/6","69":"2/3","75":"1/6"},"mean":"69","modes":["69"],"value":"69"},"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 batch count model BC799, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/6; value 70 units with mass 1/3; value 70 units with mass 1/3; value 76 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 = 71 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 71 units is likeliest-outcome(BC799).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"batch count","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 batch count model BC799, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 64 units with mass 1/6; value 70 units with mass 1/3; value 70 units with mass 1/3; value 76 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 = 71 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under BC799: 71 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-060-0004","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":{"64":"1/6","70":"2/3","76":"1/6"},"mean":"70","modes":["70"],"value":"71"},"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 storage draw model SD820, version v7 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 1/3; value 101 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 likeliest-outcome(SD820).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"storage draw","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 storage draw model SD820, version v7 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 1/3; value 101 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: A most probable outcome under SD820: 101 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-061-0001","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":{"101":"2/3","92":"1/3"},"mean":"98","modes":["101"],"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":"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 storage draw model SD821, version v7 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 = 103 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 103 units is likeliest-outcome(SD821).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"storage draw","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 storage draw model SD821, version v7 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 = 103 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD821: 103 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-062-0002","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":{"102":"2/3","93":"1/3"},"mean":"99","modes":["102"],"value":"103"},"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 storage draw model SD822, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/3; value 103 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 = 103 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 103 units is likeliest-outcome(SD822).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"storage draw","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 storage draw model SD822, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/3; value 103 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 = 103 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD822: 103 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-063-0000","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: 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":{"103":"2/3","94":"1/3"},"mean":"100","modes":["103"],"value":"103"},"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 storage draw model SD823, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 95 units with mass 1/3; value 104 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 = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 105 units is likeliest-outcome(SD823).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"storage draw","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 storage draw model SD823, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 95 units with mass 1/3; value 104 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 = 105 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD823: 105 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":{"104":"2/3","95":"1/3"},"mean":"101","modes":["104"],"value":"105"},"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 storage draw model SD824, version v7 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 5/12; value 93 units with mass 1/3; value 98 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 = 90 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 90 units is likeliest-outcome(SD824).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"storage draw","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 storage draw model SD824, version v7 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 5/12; value 93 units with mass 1/3; value 98 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 = 90 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD824: 90 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-065-0013","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: 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":{"90":"5/12","93":"1/3","98":"1/4"},"mean":"93","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 storage draw model SD825, version v7 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 = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 92 units is likeliest-outcome(SD825).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"storage draw","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 storage draw model SD825, version v7 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 = 92 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD825: 92 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-066-0005","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":{"91":"5/12","94":"1/3","99":"1/4"},"mean":"94","modes":["91"],"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":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 storage draw model SD826, version v7 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 5/12; value 95 units with mass 1/3; value 100 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 likeliest-outcome(SD826).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"storage draw","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 storage draw model SD826, version v7 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 5/12; value 95 units with mass 1/3; value 100 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: A most probable outcome under SD826: 92 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-067-0006","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: 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":{"100":"1/4","92":"5/12","95":"1/3"},"mean":"95","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":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 storage draw model SD827, version v7 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 5/12; value 96 units with mass 1/3; 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 = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is likeliest-outcome(SD827).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"storage draw","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 storage draw model SD827, version v7 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 5/12; value 96 units with mass 1/3; 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 = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD827: 94 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"101":"1/4","93":"5/12","96":"1/3"},"mean":"96","modes":["93"],"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":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 storage draw model SD828, version v7 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 3/8; value 96 units with mass 3/8; value 100 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 likeliest-outcome(SD828).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"storage draw","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 storage draw model SD828, version v7 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 3/8; value 96 units with mass 3/8; value 100 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: A most probable outcome under SD828: 92 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-069-0003","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: 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":{"100":"1/4","92":"3/8","96":"3/8"},"mean":"191/2","modes":["92","96"],"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 storage draw model SD829, version v7 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 = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is likeliest-outcome(SD829).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"storage draw","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 storage draw model SD829, version v7 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 = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD829: 94 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-070-0006","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":{"101":"1/4","93":"3/8","97":"3/8"},"mean":"193/2","modes":["93","97"],"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 storage draw model SD830, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 3/8; value 98 units with mass 3/8; value 102 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 = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 94 units is likeliest-outcome(SD830).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"storage draw","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 storage draw model SD830, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 3/8; value 98 units with mass 3/8; value 102 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 = 94 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD830: 94 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-071-0003","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":{"102":"1/4","94":"3/8","98":"3/8"},"mean":"195/2","modes":["94","98"],"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 storage draw model SD831, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 95 units with mass 3/8; value 99 units with mass 3/8; value 103 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 likeliest-outcome(SD831).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"storage draw","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 storage draw model SD831, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 95 units with mass 3/8; value 99 units with mass 3/8; value 103 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: A most probable outcome under SD831: 96 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-072-0001","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":{"103":"1/4","95":"3/8","99":"3/8"},"mean":"197/2","modes":["95","99"],"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":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 storage draw model SD832, version v7 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 1/5; value 95 units with mass 3/5; value 99 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 = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 95 units is likeliest-outcome(SD832).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"storage draw","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 storage draw model SD832, version v7 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 1/5; value 95 units with mass 3/5; value 99 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 = 95 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD832: 95 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"91":"1/5","95":"3/5","99":"1/5"},"mean":"95","modes":["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":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 storage draw model SD833, version v7 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 97 units is likeliest-outcome(SD833).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"storage draw","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 storage draw model SD833, version v7 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD833: 97 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"100":"1/5","92":"1/5","96":"3/5"},"mean":"96","modes":["96"],"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":"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 storage draw model SD834, version v7 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 1/5; value 97 units with mass 3/5; value 101 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 97 units is likeliest-outcome(SD834).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"storage draw","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 storage draw model SD834, version v7 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 1/5; value 97 units with mass 3/5; value 101 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD834: 97 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-075-0000","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":{"101":"1/5","93":"1/5","97":"3/5"},"mean":"97","modes":["97"],"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":"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 storage draw model SD835, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/5; value 98 units with mass 3/5; value 102 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 99 units is likeliest-outcome(SD835).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"storage draw","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 storage draw model SD835, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/5; value 98 units with mass 3/5; value 102 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD835: 99 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-076-0004","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":"1/5","94":"1/5","98":"3/5"},"mean":"98","modes":["98"],"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 storage draw model SD836, version v7 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 1/6; value 97 units with mass 1/3; value 97 units with mass 1/3; value 103 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 97 units is likeliest-outcome(SD836).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"storage draw","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 storage draw model SD836, version v7 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 1/6; value 97 units with mass 1/3; value 97 units with mass 1/3; value 103 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 = 97 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD836: 97 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"103":"1/6","91":"1/6","97":"2/3"},"mean":"97","modes":["97"],"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":"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 storage draw model SD837, version v7 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 99 units is likeliest-outcome(SD837).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"storage draw","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 storage draw model SD837, version v7 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD837: 99 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":{"104":"1/6","92":"1/6","98":"2/3"},"mean":"98","modes":["98"],"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":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 storage draw model SD838, version v7 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 1/6; value 99 units with mass 1/3; value 99 units with mass 1/3; value 105 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 99 units is likeliest-outcome(SD838).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"storage draw","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 storage draw model SD838, version v7 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 1/6; value 99 units with mass 1/3; value 99 units with mass 1/3; value 105 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 = 99 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD838: 99 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":{"105":"1/6","93":"1/6","99":"2/3"},"mean":"99","modes":["99"],"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":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 storage draw model SD839, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/6; value 100 units with mass 1/3; value 100 units with mass 1/3; value 106 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 = 101 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 101 units is likeliest-outcome(SD839).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"storage draw","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 storage draw model SD839, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 94 units with mass 1/6; value 100 units with mass 1/3; value 100 units with mass 1/3; value 106 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 = 101 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under SD839: 101 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-080-0007","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: 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":"2/3","106":"1/6","94":"1/6"},"mean":"100","modes":["100"],"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":"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 inspection score model IS860, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/3; value 131 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 = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 131 units is likeliest-outcome(IS860).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"inspection score","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 inspection score model IS860, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/3; value 131 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 = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS860: 131 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"122":"1/3","131":"2/3"},"mean":"128","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 inspection score model IS861, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/3; value 132 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 = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 133 units is likeliest-outcome(IS861).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"inspection score","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 inspection score model IS861, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/3; value 132 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 = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS861: 133 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-082-0007","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: 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":{"123":"1/3","132":"2/3"},"mean":"129","modes":["132"],"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":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 inspection score model IS862, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/3; value 133 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 = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 133 units is likeliest-outcome(IS862).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"inspection score","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 inspection score model IS862, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/3; value 133 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 = 133 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS862: 133 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-083-0000","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: 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":{"124":"1/3","133":"2/3"},"mean":"130","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":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 inspection score model IS863, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 125 units with mass 1/3; value 134 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 = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 135 units is likeliest-outcome(IS863).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"inspection score","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 inspection score model IS863, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 125 units with mass 1/3; value 134 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 = 135 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS863: 135 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"125":"1/3","134":"2/3"},"mean":"131","modes":["134"],"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":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 inspection score model IS864, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 120 units with mass 5/12; value 123 units with mass 1/3; value 128 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 = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 120 units is likeliest-outcome(IS864).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"inspection score","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 inspection score model IS864, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 120 units with mass 5/12; value 123 units with mass 1/3; value 128 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 = 120 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS864: 120 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-085-0003","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: 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":{"120":"5/12","123":"1/3","128":"1/4"},"mean":"123","modes":["120"],"value":"120"},"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 inspection score model IS865, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 5/12; value 124 units with mass 1/3; value 129 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 = 122 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 122 units is likeliest-outcome(IS865).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"inspection score","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 inspection score model IS865, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 5/12; value 124 units with mass 1/3; value 129 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 = 122 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS865: 122 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-086-0002","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":{"121":"5/12","124":"1/3","129":"1/4"},"mean":"124","modes":["121"],"value":"122"},"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 inspection score model IS866, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 5/12; value 125 units with mass 1/3; value 130 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 = 122 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 122 units is likeliest-outcome(IS866).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"inspection score","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 inspection score model IS866, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 5/12; value 125 units with mass 1/3; value 130 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 = 122 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS866: 122 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-087-0003","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":{"122":"5/12","125":"1/3","130":"1/4"},"mean":"125","modes":["122"],"value":"122"},"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 inspection score model IS867, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 5/12; value 126 units with mass 1/3; value 131 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 = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 124 units is likeliest-outcome(IS867).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"inspection score","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 inspection score model IS867, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 5/12; value 126 units with mass 1/3; value 131 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 = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS867: 124 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"123":"5/12","126":"1/3","131":"1/4"},"mean":"126","modes":["123"],"value":"124"},"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 inspection score model IS868, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 3/8; value 126 units with mass 3/8; value 130 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 = 122 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 122 units is likeliest-outcome(IS868).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"inspection score","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 inspection score model IS868, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 3/8; value 126 units with mass 3/8; value 130 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 = 122 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS868: 122 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-089-0000","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":{"122":"3/8","126":"3/8","130":"1/4"},"mean":"251/2","modes":["122","126"],"value":"122"},"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 inspection score model IS869, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 3/8; value 127 units with mass 3/8; value 131 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 = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 124 units is likeliest-outcome(IS869).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"inspection score","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 inspection score model IS869, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 3/8; value 127 units with mass 3/8; value 131 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 = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS869: 124 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-090-0010","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":{"123":"3/8","127":"3/8","131":"1/4"},"mean":"253/2","modes":["123","127"],"value":"124"},"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 inspection score model IS870, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 3/8; value 128 units with mass 3/8; value 132 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 = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 124 units is likeliest-outcome(IS870).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"inspection score","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 inspection score model IS870, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 3/8; value 128 units with mass 3/8; value 132 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 = 124 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS870: 124 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-091-0002","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":{"124":"3/8","128":"3/8","132":"1/4"},"mean":"255/2","modes":["124","128"],"value":"124"},"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 inspection score model IS871, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 125 units with mass 3/8; value 129 units with mass 3/8; value 133 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(IS871).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"inspection score","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 inspection score model IS871, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 125 units with mass 3/8; value 129 units with mass 3/8; value 133 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: A most probable outcome under IS871: 126 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-092-0010","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":{"125":"3/8","129":"3/8","133":"1/4"},"mean":"257/2","modes":["125","129"],"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":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 inspection score model IS872, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/5; value 125 units with mass 3/5; value 129 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 = 125 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 125 units is likeliest-outcome(IS872).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"inspection score","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 inspection score model IS872, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/5; value 125 units with mass 3/5; value 129 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 = 125 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS872: 125 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"121":"1/5","125":"3/5","129":"1/5"},"mean":"125","modes":["125"],"value":"125"},"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 inspection score model IS873, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/5; value 126 units with mass 3/5; value 130 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 127 units is likeliest-outcome(IS873).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"inspection score","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 inspection score model IS873, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/5; value 126 units with mass 3/5; value 130 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS873: 127 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-094-0004","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":{"122":"1/5","126":"3/5","130":"1/5"},"mean":"126","modes":["126"],"value":"127"},"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 inspection score model IS874, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/5; value 127 units with mass 3/5; value 131 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 127 units is likeliest-outcome(IS874).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"inspection score","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 inspection score model IS874, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/5; value 127 units with mass 3/5; value 131 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS874: 127 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-095-0003","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: 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":{"123":"1/5","127":"3/5","131":"1/5"},"mean":"127","modes":["127"],"value":"127"},"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 inspection score model IS875, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/5; value 128 units with mass 3/5; value 132 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 129 units is likeliest-outcome(IS875).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"inspection score","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 inspection score model IS875, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/5; value 128 units with mass 3/5; value 132 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS875: 129 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-096-0008","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: 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":{"124":"1/5","128":"3/5","132":"1/5"},"mean":"128","modes":["128"],"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":"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 inspection score model IS876, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/6; value 127 units with mass 1/3; value 127 units with mass 1/3; value 133 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 127 units is likeliest-outcome(IS876).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"inspection score","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 inspection score model IS876, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 121 units with mass 1/6; value 127 units with mass 1/3; value 127 units with mass 1/3; value 133 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 = 127 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS876: 127 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-097-0001","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":{"121":"1/6","127":"2/3","133":"1/6"},"mean":"127","modes":["127"],"value":"127"},"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 inspection score model IS877, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/6; value 128 units with mass 1/3; value 128 units with mass 1/3; value 134 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 129 units is likeliest-outcome(IS877).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"inspection score","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 inspection score model IS877, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 122 units with mass 1/6; value 128 units with mass 1/3; value 128 units with mass 1/3; value 134 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS877: 129 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-098-0006","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: 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":{"122":"1/6","128":"2/3","134":"1/6"},"mean":"128","modes":["128"],"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":"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 inspection score model IS878, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/6; value 129 units with mass 1/3; value 129 units with mass 1/3; value 135 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 129 units is likeliest-outcome(IS878).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"inspection score","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 inspection score model IS878, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 123 units with mass 1/6; value 129 units with mass 1/3; value 129 units with mass 1/3; value 135 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 = 129 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS878: 129 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-099-0007","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: 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":{"123":"1/6","129":"2/3","135":"1/6"},"mean":"129","modes":["129"],"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":"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 inspection score model IS879, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/6; value 130 units with mass 1/3; value 130 units with mass 1/3; value 136 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 = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 131 units is likeliest-outcome(IS879).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"inspection score","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 inspection score model IS879, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 124 units with mass 1/6; value 130 units with mass 1/3; value 130 units with mass 1/3; value 136 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 = 131 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under IS879: 131 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-100-0010","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":{"124":"1/6","130":"2/3","136":"1/6"},"mean":"130","modes":["130"],"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":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 transit interval model TI900, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/3; value 161 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 = 161 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 161 units is likeliest-outcome(TI900).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"transit interval","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 transit interval model TI900, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/3; value 161 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 = 161 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI900: 161 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-101-0007","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":{"152":"1/3","161":"2/3"},"mean":"158","modes":["161"],"value":"161"},"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 transit interval model TI901, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/3; value 162 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 = 163 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 163 units is likeliest-outcome(TI901).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"transit interval","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 transit interval model TI901, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/3; value 162 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 = 163 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI901: 163 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-102-0003","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":{"153":"1/3","162":"2/3"},"mean":"159","modes":["162"],"value":"163"},"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 transit interval model TI902, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/3; value 163 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 = 163 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 163 units is likeliest-outcome(TI902).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-outside","domain":"transit interval","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 transit interval model TI902, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/3; value 163 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 = 163 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI902: 163 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-103-0004","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":{"154":"1/3","163":"2/3"},"mean":"160","modes":["163"],"value":"163"},"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 transit interval model TI903, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/3; value 164 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 = 165 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 165 units is likeliest-outcome(TI903).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-outside","domain":"transit interval","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 transit interval model TI903, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 1/3; value 164 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 = 165 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI903: 165 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-104-0005","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":{"155":"1/3","164":"2/3"},"mean":"161","modes":["164"],"value":"165"},"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 transit interval model TI904, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 150 units with mass 5/12; value 153 units with mass 1/3; value 158 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 = 150 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 150 units is likeliest-outcome(TI904).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"transit interval","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 transit interval model TI904, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 150 units with mass 5/12; value 153 units with mass 1/3; value 158 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 = 150 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI904: 150 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-105-0008","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":{"150":"5/12","153":"1/3","158":"1/4"},"mean":"153","modes":["150"],"value":"150"},"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 transit interval model TI905, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 5/12; value 154 units with mass 1/3; value 159 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 = 152 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 152 units is likeliest-outcome(TI905).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"transit interval","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 transit interval model TI905, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 5/12; value 154 units with mass 1/3; value 159 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 = 152 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI905: 152 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-106-0001","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":{"151":"5/12","154":"1/3","159":"1/4"},"mean":"154","modes":["151"],"value":"152"},"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 transit interval model TI906, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 5/12; value 155 units with mass 1/3; value 160 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 = 152 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 152 units is likeliest-outcome(TI906).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mode-below-half","domain":"transit interval","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 transit interval model TI906, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 5/12; value 155 units with mass 1/3; value 160 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 = 152 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI906: 152 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":{"152":"5/12","155":"1/3","160":"1/4"},"mean":"155","modes":["152"],"value":"152"},"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 transit interval model TI907, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 5/12; value 156 units with mass 1/3; value 161 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 = 154 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 154 units is likeliest-outcome(TI907).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mode-below-half","domain":"transit interval","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 transit interval model TI907, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 5/12; value 156 units with mass 1/3; value 161 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 = 154 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI907: 154 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"153":"5/12","156":"1/3","161":"1/4"},"mean":"156","modes":["153"],"value":"154"},"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 transit interval model TI908, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 3/8; value 156 units with mass 3/8; value 160 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 = 152 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 152 units is likeliest-outcome(TI908).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"transit interval","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 transit interval model TI908, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 3/8; value 156 units with mass 3/8; value 160 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 = 152 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI908: 152 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-109-0004","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":{"152":"3/8","156":"3/8","160":"1/4"},"mean":"311/2","modes":["152","156"],"value":"152"},"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 transit interval model TI909, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 3/8; value 157 units with mass 3/8; value 161 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 = 154 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 154 units is likeliest-outcome(TI909).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"transit interval","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 transit interval model TI909, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 3/8; value 157 units with mass 3/8; value 161 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 = 154 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI909: 154 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-110-0001","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":{"153":"3/8","157":"3/8","161":"1/4"},"mean":"313/2","modes":["153","157"],"value":"154"},"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 transit interval model TI910, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 3/8; value 158 units with mass 3/8; value 162 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 = 154 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 154 units is likeliest-outcome(TI910).","answer":"Claim true: yes; x possible: yes; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"transit interval","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 transit interval model TI910, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 3/8; value 158 units with mass 3/8; value 162 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 = 154 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI910: 154 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-111-0002","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":{"154":"3/8","158":"3/8","162":"1/4"},"mean":"315/2","modes":["154","158"],"value":"154"},"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 transit interval model TI911, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 3/8; value 159 units with mass 3/8; value 163 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 = 156 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 156 units is likeliest-outcome(TI911).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"tied-modes","domain":"transit interval","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 transit interval model TI911, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 155 units with mass 3/8; value 159 units with mass 3/8; value 163 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 = 156 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI911: 156 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-112-0001","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":{"155":"3/8","159":"3/8","163":"1/4"},"mean":"317/2","modes":["155","159"],"value":"156"},"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 transit interval model TI912, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 1/5; value 155 units with mass 3/5; value 159 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 = 155 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 155 units is likeliest-outcome(TI912).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"transit interval","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 transit interval model TI912, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 1/5; value 155 units with mass 3/5; value 159 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 = 155 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI912: 155 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-113-0008","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: 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":{"151":"1/5","155":"3/5","159":"1/5"},"mean":"155","modes":["155"],"value":"155"},"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 transit interval model TI913, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/5; value 156 units with mass 3/5; value 160 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 157 units is likeliest-outcome(TI913).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"transit interval","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 transit interval model TI913, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/5; value 156 units with mass 3/5; value 160 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI913: 157 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-114-0001","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":{"152":"1/5","156":"3/5","160":"1/5"},"mean":"156","modes":["156"],"value":"157"},"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 transit interval model TI914, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/5; value 157 units with mass 3/5; value 161 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 157 units is likeliest-outcome(TI914).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"transit interval","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 transit interval model TI914, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/5; value 157 units with mass 3/5; value 161 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI914: 157 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-115-0004","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":{"153":"1/5","157":"3/5","161":"1/5"},"mean":"157","modes":["157"],"value":"157"},"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 transit interval model TI915, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/5; value 158 units with mass 3/5; value 162 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 159 units is likeliest-outcome(TI915).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"mean-is-mode","domain":"transit interval","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 transit interval model TI915, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/5; value 158 units with mass 3/5; value 162 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI915: 159 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-116-0009","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: 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":{"154":"1/5","158":"3/5","162":"1/5"},"mean":"158","modes":["158"],"value":"159"},"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 transit interval model TI916, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 1/6; value 157 units with mass 1/3; value 157 units with mass 1/3; value 163 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 157 units is likeliest-outcome(TI916).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"transit interval","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 transit interval model TI916, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 151 units with mass 1/6; value 157 units with mass 1/3; value 157 units with mass 1/3; value 163 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 = 157 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI916: 157 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-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: 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":{"151":"1/6","157":"2/3","163":"1/6"},"mean":"157","modes":["157"],"value":"157"},"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 transit interval model TI917, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/6; value 158 units with mass 1/3; value 158 units with mass 1/3; value 164 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 159 units is likeliest-outcome(TI917).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"transit interval","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 transit interval model TI917, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 152 units with mass 1/6; value 158 units with mass 1/3; value 158 units with mass 1/3; value 164 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI917: 159 units.","id":"SAT-OUTCOME-COMPACT-20260918-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":{"152":"1/6","158":"2/3","164":"1/6"},"mean":"158","modes":["158"],"value":"159"},"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 transit interval model TI918, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/6; value 159 units with mass 1/3; value 159 units with mass 1/3; value 165 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 159 units is likeliest-outcome(TI918).","answer":"Claim true: yes; x possible: yes; x unique most probable: yes; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"transit interval","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 transit interval model TI918, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 153 units with mass 1/6; value 159 units with mass 1/3; value 159 units with mass 1/3; value 165 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 = 159 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI918: 159 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-119-0000","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: 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":{"153":"1/6","159":"2/3","165":"1/6"},"mean":"159","modes":["159"],"value":"159"},"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 transit interval model TI919, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/6; value 160 units with mass 1/3; value 160 units with mass 1/3; value 166 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 = 161 units. No claim that the model is correct or guarantees a trial is supplied. Statement: 161 units is likeliest-outcome(TI919).","answer":"Claim true: no; x possible: no; x unique most probable: no; next result guaranteed x: no.","boundary":"aggregate-paths","domain":"transit interval","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 transit interval model TI919, version v7 under the stated conditioning; one unit is declared. The mutually exclusive paths below are exhaustive, exact rational masses, not rounded observations: value 154 units with mass 1/6; value 160 units with mass 1/3; value 160 units with mass 1/3; value 166 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 = 161 units. No claim that the model is correct or guarantees a trial is supplied. Statement: A most probable outcome under TI919: 161 units.","id":"SAT-OUTCOME-COMPACT-20260918-likeliest-outcome-120-0024","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":{"154":"1/6","160":"2/3","166":"1/6"},"mean":"160","modes":["160"],"value":"161"},"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":"Audit capsule AC-7600: its custodian is Arden.","answer":"Arden","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7600: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-00","options":["Arden","Blythe","Corin","Della","Eamon","Fara","not specified"],"question":"Who is the custodian of audit capsule AC-7600?"},{"ainglish":"Audit capsule AC-7601: its custodian is Blythe.","answer":"Blythe","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7601: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-01","options":["Blythe","Corin","Della","Eamon","Fara","not specified","Arden"],"question":"Who is the custodian of audit capsule AC-7601?"},{"ainglish":"Audit capsule AC-7602: its custodian is Corin.","answer":"Corin","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7602: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-02","options":["Corin","Della","Eamon","Fara","not specified","Arden","Blythe"],"question":"Who is the custodian of audit capsule AC-7602?"},{"ainglish":"Audit capsule AC-7603: its custodian is Della.","answer":"Della","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7603: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-03","options":["Della","Eamon","Fara","not specified","Arden","Blythe","Corin"],"question":"Who is the custodian of audit capsule AC-7603?"},{"ainglish":"Audit capsule AC-7604: its custodian is Eamon.","answer":"Eamon","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7604: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-04","options":["Eamon","Fara","not specified","Arden","Blythe","Corin","Della"],"question":"Who is the custodian of audit capsule AC-7604?"},{"ainglish":"Audit capsule AC-7605: its custodian is Fara.","answer":"Fara","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7605: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-05","options":["Fara","not specified","Arden","Blythe","Corin","Della","Eamon"],"question":"Who is the custodian of audit capsule AC-7605?"},{"ainglish":"Audit capsule AC-7606: its custodian is Arden.","answer":"Arden","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7606: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-06","options":["not specified","Arden","Blythe","Corin","Della","Eamon","Fara"],"question":"Who is the custodian of audit capsule AC-7606?"},{"ainglish":"Audit capsule AC-7607: its custodian is Blythe.","answer":"Blythe","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7607: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-07","options":["Arden","Blythe","Corin","Della","Eamon","Fara","not specified"],"question":"Who is the custodian of audit capsule AC-7607?"},{"ainglish":"Audit capsule AC-7608: its custodian is Corin.","answer":"Corin","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7608: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-08","options":["Blythe","Corin","Della","Eamon","Fara","not specified","Arden"],"question":"Who is the custodian of audit capsule AC-7608?"},{"ainglish":"Audit capsule AC-7609: its custodian is Della.","answer":"Della","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7609: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-09","options":["Corin","Della","Eamon","Fara","not specified","Arden","Blythe"],"question":"Who is the custodian of audit capsule AC-7609?"},{"ainglish":"Audit capsule AC-7610: its custodian is Eamon.","answer":"Eamon","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7610: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-10","options":["Della","Eamon","Fara","not specified","Arden","Blythe","Corin"],"question":"Who is the custodian of audit capsule AC-7610?"},{"ainglish":"Audit capsule AC-7611: its custodian is Fara.","answer":"Fara","calibration":true,"calibration_construct":"named audit custodian","calibration_scope":"target-independent","english":"Audit capsule AC-7611: its custodian is not specified.","id":"saturnia-outcome-compact-panel-control-11","options":["Eamon","Fara","not specified","Arden","Blythe","Corin","Della"],"question":"Who is the custodian of audit capsule AC-7611?"}],"kind":"saturnia.ainglish.outcome-compact-replication-items.v1","qualification_controls":[{"answer":"Galen","detectable":"Custody voucher CV-8100: the named recipient is Galen.","id":"saturnia-outcome-compact-qualification-00","options":["Galen","Hester","Ivo","Junia","Kato","Liora","not specified"],"other":"Custody voucher CV-8100: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8100?"},{"answer":"Hester","detectable":"Custody voucher CV-8101: the named recipient is Hester.","id":"saturnia-outcome-compact-qualification-01","options":["Hester","Ivo","Junia","Kato","Liora","not specified","Galen"],"other":"Custody voucher CV-8101: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8101?"},{"answer":"Ivo","detectable":"Custody voucher CV-8102: the named recipient is Ivo.","id":"saturnia-outcome-compact-qualification-02","options":["Ivo","Junia","Kato","Liora","not specified","Galen","Hester"],"other":"Custody voucher CV-8102: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8102?"},{"answer":"Junia","detectable":"Custody voucher CV-8103: the named recipient is Junia.","id":"saturnia-outcome-compact-qualification-03","options":["Junia","Kato","Liora","not specified","Galen","Hester","Ivo"],"other":"Custody voucher CV-8103: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8103?"},{"answer":"Kato","detectable":"Custody voucher CV-8104: the named recipient is Kato.","id":"saturnia-outcome-compact-qualification-04","options":["Kato","Liora","not specified","Galen","Hester","Ivo","Junia"],"other":"Custody voucher CV-8104: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8104?"},{"answer":"Liora","detectable":"Custody voucher CV-8105: the named recipient is Liora.","id":"saturnia-outcome-compact-qualification-05","options":["Liora","not specified","Galen","Hester","Ivo","Junia","Kato"],"other":"Custody voucher CV-8105: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8105?"},{"answer":"Galen","detectable":"Custody voucher CV-8106: the named recipient is Galen.","id":"saturnia-outcome-compact-qualification-06","options":["not specified","Galen","Hester","Ivo","Junia","Kato","Liora"],"other":"Custody voucher CV-8106: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8106?"},{"answer":"Hester","detectable":"Custody voucher CV-8107: the named recipient is Hester.","id":"saturnia-outcome-compact-qualification-07","options":["Galen","Hester","Ivo","Junia","Kato","Liora","not specified"],"other":"Custody voucher CV-8107: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8107?"},{"answer":"Ivo","detectable":"Custody voucher CV-8108: the named recipient is Ivo.","id":"saturnia-outcome-compact-qualification-08","options":["Hester","Ivo","Junia","Kato","Liora","not specified","Galen"],"other":"Custody voucher CV-8108: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8108?"},{"answer":"Junia","detectable":"Custody voucher CV-8109: the named recipient is Junia.","id":"saturnia-outcome-compact-qualification-09","options":["Ivo","Junia","Kato","Liora","not specified","Galen","Hester"],"other":"Custody voucher CV-8109: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8109?"},{"answer":"Kato","detectable":"Custody voucher CV-8110: the named recipient is Kato.","id":"saturnia-outcome-compact-qualification-10","options":["Junia","Kato","Liora","not specified","Galen","Hester","Ivo"],"other":"Custody voucher CV-8110: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8110?"},{"answer":"Liora","detectable":"Custody voucher CV-8111: the named recipient is Liora.","id":"saturnia-outcome-compact-qualification-11","options":["Kato","Liora","not specified","Galen","Hester","Ivo","Junia"],"other":"Custody voucher CV-8111: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8111?"},{"answer":"Galen","detectable":"Custody voucher CV-8112: the named recipient is Galen.","id":"saturnia-outcome-compact-qualification-12","options":["Liora","not specified","Galen","Hester","Ivo","Junia","Kato"],"other":"Custody voucher CV-8112: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8112?"},{"answer":"Hester","detectable":"Custody voucher CV-8113: the named recipient is Hester.","id":"saturnia-outcome-compact-qualification-13","options":["not specified","Galen","Hester","Ivo","Junia","Kato","Liora"],"other":"Custody voucher CV-8113: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8113?"},{"answer":"Ivo","detectable":"Custody voucher CV-8114: the named recipient is Ivo.","id":"saturnia-outcome-compact-qualification-14","options":["Galen","Hester","Ivo","Junia","Kato","Liora","not specified"],"other":"Custody voucher CV-8114: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8114?"},{"answer":"Junia","detectable":"Custody voucher CV-8115: the named recipient is Junia.","id":"saturnia-outcome-compact-qualification-15","options":["Hester","Ivo","Junia","Kato","Liora","not specified","Galen"],"other":"Custody voucher CV-8115: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8115?"},{"answer":"Kato","detectable":"Custody voucher CV-8116: the named recipient is Kato.","id":"saturnia-outcome-compact-qualification-16","options":["Ivo","Junia","Kato","Liora","not specified","Galen","Hester"],"other":"Custody voucher CV-8116: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8116?"},{"answer":"Liora","detectable":"Custody voucher CV-8117: the named recipient is Liora.","id":"saturnia-outcome-compact-qualification-17","options":["Junia","Kato","Liora","not specified","Galen","Hester","Ivo"],"other":"Custody voucher CV-8117: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8117?"},{"answer":"Galen","detectable":"Custody voucher CV-8118: the named recipient is Galen.","id":"saturnia-outcome-compact-qualification-18","options":["Kato","Liora","not specified","Galen","Hester","Ivo","Junia"],"other":"Custody voucher CV-8118: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8118?"},{"answer":"Hester","detectable":"Custody voucher CV-8119: the named recipient is Hester.","id":"saturnia-outcome-compact-qualification-19","options":["Liora","not specified","Galen","Hester","Ivo","Junia","Kato"],"other":"Custody voucher CV-8119: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8119?"},{"answer":"Ivo","detectable":"Custody voucher CV-8120: the named recipient is Ivo.","id":"saturnia-outcome-compact-qualification-20","options":["not specified","Galen","Hester","Ivo","Junia","Kato","Liora"],"other":"Custody voucher CV-8120: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8120?"},{"answer":"Junia","detectable":"Custody voucher CV-8121: the named recipient is Junia.","id":"saturnia-outcome-compact-qualification-21","options":["Galen","Hester","Ivo","Junia","Kato","Liora","not specified"],"other":"Custody voucher CV-8121: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8121?"},{"answer":"Kato","detectable":"Custody voucher CV-8122: the named recipient is Kato.","id":"saturnia-outcome-compact-qualification-22","options":["Hester","Ivo","Junia","Kato","Liora","not specified","Galen"],"other":"Custody voucher CV-8122: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8122?"},{"answer":"Liora","detectable":"Custody voucher CV-8123: the named recipient is Liora.","id":"saturnia-outcome-compact-qualification-23","options":["Ivo","Junia","Kato","Liora","not specified","Galen","Hester"],"other":"Custody voucher CV-8123: the named recipient is not specified.","question":"Who is the named recipient on custody voucher CV-8123?"}],"sha256":"e987a299f36368c40abad03bb91294c70fef5d71377feb68815ede2a13b96a7e","zero_reader_calls_at_publication":true}