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benchmark_version
stringclasses
1 value
difficulty
int64
1
6
family
stringclasses
6 values
generator_metadata
unknown
gold_argmax
stringclasses
8 values
gold_distribution
unknown
instance_id
stringlengths
30
50
latent_instance_id
stringlengths
18
33
outcomes
listlengths
2
2
probability_band
stringclasses
11 values
prompt
stringclasses
10 values
representation
stringclasses
8 values
seed
int64
42
61
state
unknown
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0, "p_not_A": 1 } }
not_A
{ "A": 0, "not_A": 1 }
explicit_probability__seed_000042__repr_direct
explicit_probability__seed_000042
[ "A", "not_A" ]
0
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
42
{ "representation": "direct", "sufficient_statistics": { "p_A": 0, "p_not_A": 1 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0, "p_not_A": 1 } }
not_A
{ "A": 0, "not_A": 1 }
explicit_probability__seed_000042__repr_ratio
explicit_probability__seed_000042
[ "A", "not_A" ]
0
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
42
{ "probability_ratio_A_to_not_A": "0:1", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0, "p_not_A": 1 } }
not_A
{ "A": 0, "not_A": 1 }
explicit_probability__seed_000042__repr_prose
explicit_probability__seed_000042
[ "A", "not_A" ]
0
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
42
{ "description": "The state fully determines the target distribution. The probability of A is 0, and the remaining probability belongs to the other outcome. {'p_A': 0.0, 'p_not_A': 1.0}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0, "p_not_A": 1 } }
not_A
{ "A": 0, "not_A": 1 }
explicit_probability__seed_000042__repr_distractor
explicit_probability__seed_000042
[ "A", "not_A" ]
0
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
42
{ "irrelevant": { "batch_code": "ZX-042", "container_temperature_c": 18.1, "operator_shift": "morning", "sensor_revision": "rev-3", "warehouse_lane": "A" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0, "p_not_A": 1 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.0526315789, "p_not_A": 0.9473684211000001 } }
not_A
{ "A": 0.0526315789, "not_A": 0.9473684211000001 }
explicit_probability__seed_000043__repr_direct
explicit_probability__seed_000043
[ "A", "not_A" ]
[0.01,0.10]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
43
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.0526315789, "p_not_A": 0.9473684211000001 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.0526315789, "p_not_A": 0.9473684211000001 } }
not_A
{ "A": 0.0526315789, "not_A": 0.9473684211000001 }
explicit_probability__seed_000043__repr_ratio
explicit_probability__seed_000043
[ "A", "not_A" ]
[0.01,0.10]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
43
{ "probability_ratio_A_to_not_A": "1:19", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.0526315789, "p_not_A": 0.9473684211000001 } }
not_A
{ "A": 0.0526315789, "not_A": 0.9473684211000001 }
explicit_probability__seed_000043__repr_prose
explicit_probability__seed_000043
[ "A", "not_A" ]
[0.01,0.10]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
43
{ "description": "The state fully determines the target distribution. The probability of A is 0.052631578947, and the remaining probability belongs to the other outcome. {'p_A': 0.052631578947, 'p_not_A': 0.947368421053}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.0526315789, "p_not_A": 0.9473684211000001 } }
not_A
{ "A": 0.0526315789, "not_A": 0.9473684211000001 }
explicit_probability__seed_000043__repr_distractor
explicit_probability__seed_000043
[ "A", "not_A" ]
[0.01,0.10]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
43
{ "irrelevant": { "batch_code": "ZX-043", "container_temperature_c": 18.8, "operator_shift": "swing", "sensor_revision": "rev-4", "warehouse_lane": "B" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.0526315789, "p_not_A": 0.9473684211000001 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.1052631579, "p_not_A": 0.8947368421 } }
not_A
{ "A": 0.1052631579, "not_A": 0.8947368421 }
explicit_probability__seed_000044__repr_direct
explicit_probability__seed_000044
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
44
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.1052631579, "p_not_A": 0.8947368421 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.1052631579, "p_not_A": 0.8947368421 } }
not_A
{ "A": 0.1052631579, "not_A": 0.8947368421 }
explicit_probability__seed_000044__repr_ratio
explicit_probability__seed_000044
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
44
{ "probability_ratio_A_to_not_A": "11:89", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.1052631579, "p_not_A": 0.8947368421 } }
not_A
{ "A": 0.1052631579, "not_A": 0.8947368421 }
explicit_probability__seed_000044__repr_prose
explicit_probability__seed_000044
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
44
{ "description": "The state fully determines the target distribution. The probability of A is 0.105263157895, and the remaining probability belongs to the other outcome. {'p_A': 0.105263157895, 'p_not_A': 0.894736842105}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.1052631579, "p_not_A": 0.8947368421 } }
not_A
{ "A": 0.1052631579, "not_A": 0.8947368421 }
explicit_probability__seed_000044__repr_distractor
explicit_probability__seed_000044
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
44
{ "irrelevant": { "batch_code": "ZX-044", "container_temperature_c": 19.5, "operator_shift": "night", "sensor_revision": "rev-5", "warehouse_lane": "C" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.1052631579, "p_not_A": 0.8947368421 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.15789473680000002, "p_not_A": 0.8421052632 } }
not_A
{ "A": 0.15789473680000002, "not_A": 0.8421052632 }
explicit_probability__seed_000045__repr_direct
explicit_probability__seed_000045
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
45
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.15789473680000002, "p_not_A": 0.8421052632 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.15789473680000002, "p_not_A": 0.8421052632 } }
not_A
{ "A": 0.15789473680000002, "not_A": 0.8421052632 }
explicit_probability__seed_000045__repr_ratio
explicit_probability__seed_000045
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
45
{ "probability_ratio_A_to_not_A": "4:21", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.15789473680000002, "p_not_A": 0.8421052632 } }
not_A
{ "A": 0.15789473680000002, "not_A": 0.8421052632 }
explicit_probability__seed_000045__repr_prose
explicit_probability__seed_000045
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
45
{ "description": "The state fully determines the target distribution. The probability of A is 0.157894736842, and the remaining probability belongs to the other outcome. {'p_A': 0.157894736842, 'p_not_A': 0.8421052631579999}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.15789473680000002, "p_not_A": 0.8421052632 } }
not_A
{ "A": 0.15789473680000002, "not_A": 0.8421052632 }
explicit_probability__seed_000045__repr_distractor
explicit_probability__seed_000045
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
45
{ "irrelevant": { "batch_code": "ZX-045", "container_temperature_c": 20.2, "operator_shift": "morning", "sensor_revision": "rev-1", "warehouse_lane": "D" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.15789473680000002, "p_not_A": 0.8421052632 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.2105263158, "p_not_A": 0.7894736842000001 } }
not_A
{ "A": 0.2105263158, "not_A": 0.7894736842000001 }
explicit_probability__seed_000046__repr_direct
explicit_probability__seed_000046
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
46
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.2105263158, "p_not_A": 0.7894736842000001 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.2105263158, "p_not_A": 0.7894736842000001 } }
not_A
{ "A": 0.2105263158, "not_A": 0.7894736842000001 }
explicit_probability__seed_000046__repr_ratio
explicit_probability__seed_000046
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
46
{ "probability_ratio_A_to_not_A": "21:79", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.2105263158, "p_not_A": 0.7894736842000001 } }
not_A
{ "A": 0.2105263158, "not_A": 0.7894736842000001 }
explicit_probability__seed_000046__repr_prose
explicit_probability__seed_000046
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
46
{ "description": "The state fully determines the target distribution. The probability of A is 0.210526315789, and the remaining probability belongs to the other outcome. {'p_A': 0.210526315789, 'p_not_A': 0.789473684211}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.2105263158, "p_not_A": 0.7894736842000001 } }
not_A
{ "A": 0.2105263158, "not_A": 0.7894736842000001 }
explicit_probability__seed_000046__repr_distractor
explicit_probability__seed_000046
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
46
{ "irrelevant": { "batch_code": "ZX-046", "container_temperature_c": 20.9, "operator_shift": "swing", "sensor_revision": "rev-2", "warehouse_lane": "E" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.2105263158, "p_not_A": 0.7894736842000001 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.2631578947, "p_not_A": 0.7368421053 } }
not_A
{ "A": 0.2631578947, "not_A": 0.7368421053 }
explicit_probability__seed_000047__repr_direct
explicit_probability__seed_000047
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
47
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.2631578947, "p_not_A": 0.7368421053 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.2631578947, "p_not_A": 0.7368421053 } }
not_A
{ "A": 0.2631578947, "not_A": 0.7368421053 }
explicit_probability__seed_000047__repr_ratio
explicit_probability__seed_000047
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
47
{ "probability_ratio_A_to_not_A": "13:37", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.2631578947, "p_not_A": 0.7368421053 } }
not_A
{ "A": 0.2631578947, "not_A": 0.7368421053 }
explicit_probability__seed_000047__repr_prose
explicit_probability__seed_000047
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
47
{ "description": "The state fully determines the target distribution. The probability of A is 0.263157894737, and the remaining probability belongs to the other outcome. {'p_A': 0.263157894737, 'p_not_A': 0.736842105263}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.2631578947, "p_not_A": 0.7368421053 } }
not_A
{ "A": 0.2631578947, "not_A": 0.7368421053 }
explicit_probability__seed_000047__repr_distractor
explicit_probability__seed_000047
[ "A", "not_A" ]
(0.10,0.30]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
47
{ "irrelevant": { "batch_code": "ZX-047", "container_temperature_c": 21.6, "operator_shift": "night", "sensor_revision": "rev-3", "warehouse_lane": "F" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.2631578947, "p_not_A": 0.7368421053 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.3157894737, "p_not_A": 0.6842105263 } }
not_A
{ "A": 0.3157894737, "not_A": 0.6842105263 }
explicit_probability__seed_000048__repr_direct
explicit_probability__seed_000048
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
48
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.3157894737, "p_not_A": 0.6842105263 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.3157894737, "p_not_A": 0.6842105263 } }
not_A
{ "A": 0.3157894737, "not_A": 0.6842105263 }
explicit_probability__seed_000048__repr_ratio
explicit_probability__seed_000048
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
48
{ "probability_ratio_A_to_not_A": "8:17", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.3157894737, "p_not_A": 0.6842105263 } }
not_A
{ "A": 0.3157894737, "not_A": 0.6842105263 }
explicit_probability__seed_000048__repr_prose
explicit_probability__seed_000048
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
48
{ "description": "The state fully determines the target distribution. The probability of A is 0.315789473684, and the remaining probability belongs to the other outcome. {'p_A': 0.315789473684, 'p_not_A': 0.684210526316}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.3157894737, "p_not_A": 0.6842105263 } }
not_A
{ "A": 0.3157894737, "not_A": 0.6842105263 }
explicit_probability__seed_000048__repr_distractor
explicit_probability__seed_000048
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
48
{ "irrelevant": { "batch_code": "ZX-048", "container_temperature_c": 22.3, "operator_shift": "morning", "sensor_revision": "rev-4", "warehouse_lane": "A" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.3157894737, "p_not_A": 0.6842105263 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.3684210526, "p_not_A": 0.6315789474 } }
not_A
{ "A": 0.3684210526, "not_A": 0.6315789474 }
explicit_probability__seed_000049__repr_direct
explicit_probability__seed_000049
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
49
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.3684210526, "p_not_A": 0.6315789474 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.3684210526, "p_not_A": 0.6315789474 } }
not_A
{ "A": 0.3684210526, "not_A": 0.6315789474 }
explicit_probability__seed_000049__repr_ratio
explicit_probability__seed_000049
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
49
{ "probability_ratio_A_to_not_A": "37:63", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.3684210526, "p_not_A": 0.6315789474 } }
not_A
{ "A": 0.3684210526, "not_A": 0.6315789474 }
explicit_probability__seed_000049__repr_prose
explicit_probability__seed_000049
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
49
{ "description": "The state fully determines the target distribution. The probability of A is 0.368421052632, and the remaining probability belongs to the other outcome. {'p_A': 0.368421052632, 'p_not_A': 0.631578947368}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.3684210526, "p_not_A": 0.6315789474 } }
not_A
{ "A": 0.3684210526, "not_A": 0.6315789474 }
explicit_probability__seed_000049__repr_distractor
explicit_probability__seed_000049
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
49
{ "irrelevant": { "batch_code": "ZX-049", "container_temperature_c": 23, "operator_shift": "swing", "sensor_revision": "rev-5", "warehouse_lane": "B" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.3684210526, "p_not_A": 0.6315789474 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.4210526316, "p_not_A": 0.5789473684 } }
not_A
{ "A": 0.4210526316, "not_A": 0.5789473684 }
explicit_probability__seed_000050__repr_direct
explicit_probability__seed_000050
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
50
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.4210526316, "p_not_A": 0.5789473684 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.4210526316, "p_not_A": 0.5789473684 } }
not_A
{ "A": 0.4210526316, "not_A": 0.5789473684 }
explicit_probability__seed_000050__repr_ratio
explicit_probability__seed_000050
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
50
{ "probability_ratio_A_to_not_A": "21:29", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.4210526316, "p_not_A": 0.5789473684 } }
not_A
{ "A": 0.4210526316, "not_A": 0.5789473684 }
explicit_probability__seed_000050__repr_prose
explicit_probability__seed_000050
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
50
{ "description": "The state fully determines the target distribution. The probability of A is 0.421052631579, and the remaining probability belongs to the other outcome. {'p_A': 0.421052631579, 'p_not_A': 0.578947368421}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.4210526316, "p_not_A": 0.5789473684 } }
not_A
{ "A": 0.4210526316, "not_A": 0.5789473684 }
explicit_probability__seed_000050__repr_distractor
explicit_probability__seed_000050
[ "A", "not_A" ]
(0.30,0.45]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
50
{ "irrelevant": { "batch_code": "ZX-050", "container_temperature_c": 23.7, "operator_shift": "night", "sensor_revision": "rev-1", "warehouse_lane": "C" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.4210526316, "p_not_A": 0.5789473684 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.47368421050000004, "p_not_A": 0.5263157895 } }
not_A
{ "A": 0.47368421050000004, "not_A": 0.5263157895 }
explicit_probability__seed_000051__repr_direct
explicit_probability__seed_000051
[ "A", "not_A" ]
(0.45,0.55]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
51
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.47368421050000004, "p_not_A": 0.5263157895 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.47368421050000004, "p_not_A": 0.5263157895 } }
not_A
{ "A": 0.47368421050000004, "not_A": 0.5263157895 }
explicit_probability__seed_000051__repr_ratio
explicit_probability__seed_000051
[ "A", "not_A" ]
(0.45,0.55]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
51
{ "probability_ratio_A_to_not_A": "47:53", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.47368421050000004, "p_not_A": 0.5263157895 } }
not_A
{ "A": 0.47368421050000004, "not_A": 0.5263157895 }
explicit_probability__seed_000051__repr_prose
explicit_probability__seed_000051
[ "A", "not_A" ]
(0.45,0.55]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
51
{ "description": "The state fully determines the target distribution. The probability of A is 0.473684210526, and the remaining probability belongs to the other outcome. {'p_A': 0.473684210526, 'p_not_A': 0.526315789474}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.47368421050000004, "p_not_A": 0.5263157895 } }
not_A
{ "A": 0.47368421050000004, "not_A": 0.5263157895 }
explicit_probability__seed_000051__repr_distractor
explicit_probability__seed_000051
[ "A", "not_A" ]
(0.45,0.55]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
51
{ "irrelevant": { "batch_code": "ZX-051", "container_temperature_c": 12.5, "operator_shift": "morning", "sensor_revision": "rev-2", "warehouse_lane": "D" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.47368421050000004, "p_not_A": 0.5263157895 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.5263157895, "p_not_A": 0.47368421050000004 } }
A
{ "A": 0.5263157895, "not_A": 0.47368421050000004 }
explicit_probability__seed_000052__repr_direct
explicit_probability__seed_000052
[ "A", "not_A" ]
(0.45,0.55]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
52
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.5263157895, "p_not_A": 0.47368421050000004 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.5263157895, "p_not_A": 0.47368421050000004 } }
A
{ "A": 0.5263157895, "not_A": 0.47368421050000004 }
explicit_probability__seed_000052__repr_ratio
explicit_probability__seed_000052
[ "A", "not_A" ]
(0.45,0.55]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
52
{ "probability_ratio_A_to_not_A": "53:47", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.5263157895, "p_not_A": 0.47368421050000004 } }
A
{ "A": 0.5263157895, "not_A": 0.47368421050000004 }
explicit_probability__seed_000052__repr_prose
explicit_probability__seed_000052
[ "A", "not_A" ]
(0.45,0.55]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
52
{ "description": "The state fully determines the target distribution. The probability of A is 0.526315789474, and the remaining probability belongs to the other outcome. {'p_A': 0.526315789474, 'p_not_A': 0.47368421052599996}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.5263157895, "p_not_A": 0.47368421050000004 } }
A
{ "A": 0.5263157895, "not_A": 0.47368421050000004 }
explicit_probability__seed_000052__repr_distractor
explicit_probability__seed_000052
[ "A", "not_A" ]
(0.45,0.55]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
52
{ "irrelevant": { "batch_code": "ZX-052", "container_temperature_c": 13.2, "operator_shift": "swing", "sensor_revision": "rev-3", "warehouse_lane": "E" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.5263157895, "p_not_A": 0.47368421050000004 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.5789473684, "p_not_A": 0.4210526316 } }
A
{ "A": 0.5789473684, "not_A": 0.4210526316 }
explicit_probability__seed_000053__repr_direct
explicit_probability__seed_000053
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
53
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.5789473684, "p_not_A": 0.4210526316 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.5789473684, "p_not_A": 0.4210526316 } }
A
{ "A": 0.5789473684, "not_A": 0.4210526316 }
explicit_probability__seed_000053__repr_ratio
explicit_probability__seed_000053
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
53
{ "probability_ratio_A_to_not_A": "29:21", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.5789473684, "p_not_A": 0.4210526316 } }
A
{ "A": 0.5789473684, "not_A": 0.4210526316 }
explicit_probability__seed_000053__repr_prose
explicit_probability__seed_000053
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
53
{ "description": "The state fully determines the target distribution. The probability of A is 0.578947368421, and the remaining probability belongs to the other outcome. {'p_A': 0.578947368421, 'p_not_A': 0.42105263157899997}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.5789473684, "p_not_A": 0.4210526316 } }
A
{ "A": 0.5789473684, "not_A": 0.4210526316 }
explicit_probability__seed_000053__repr_distractor
explicit_probability__seed_000053
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
53
{ "irrelevant": { "batch_code": "ZX-053", "container_temperature_c": 13.9, "operator_shift": "night", "sensor_revision": "rev-4", "warehouse_lane": "F" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.5789473684, "p_not_A": 0.4210526316 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.6315789474, "p_not_A": 0.3684210526 } }
A
{ "A": 0.6315789474, "not_A": 0.3684210526 }
explicit_probability__seed_000054__repr_direct
explicit_probability__seed_000054
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
54
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.6315789474, "p_not_A": 0.3684210526 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.6315789474, "p_not_A": 0.3684210526 } }
A
{ "A": 0.6315789474, "not_A": 0.3684210526 }
explicit_probability__seed_000054__repr_ratio
explicit_probability__seed_000054
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
54
{ "probability_ratio_A_to_not_A": "63:37", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.6315789474, "p_not_A": 0.3684210526 } }
A
{ "A": 0.6315789474, "not_A": 0.3684210526 }
explicit_probability__seed_000054__repr_prose
explicit_probability__seed_000054
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
54
{ "description": "The state fully determines the target distribution. The probability of A is 0.631578947368, and the remaining probability belongs to the other outcome. {'p_A': 0.631578947368, 'p_not_A': 0.368421052632}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.6315789474, "p_not_A": 0.3684210526 } }
A
{ "A": 0.6315789474, "not_A": 0.3684210526 }
explicit_probability__seed_000054__repr_distractor
explicit_probability__seed_000054
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
54
{ "irrelevant": { "batch_code": "ZX-054", "container_temperature_c": 14.6, "operator_shift": "morning", "sensor_revision": "rev-5", "warehouse_lane": "A" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.6315789474, "p_not_A": 0.3684210526 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.6842105263, "p_not_A": 0.3157894737 } }
A
{ "A": 0.6842105263, "not_A": 0.3157894737 }
explicit_probability__seed_000055__repr_direct
explicit_probability__seed_000055
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
55
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.6842105263, "p_not_A": 0.3157894737 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.6842105263, "p_not_A": 0.3157894737 } }
A
{ "A": 0.6842105263, "not_A": 0.3157894737 }
explicit_probability__seed_000055__repr_ratio
explicit_probability__seed_000055
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
55
{ "probability_ratio_A_to_not_A": "17:8", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.6842105263, "p_not_A": 0.3157894737 } }
A
{ "A": 0.6842105263, "not_A": 0.3157894737 }
explicit_probability__seed_000055__repr_prose
explicit_probability__seed_000055
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
55
{ "description": "The state fully determines the target distribution. The probability of A is 0.684210526316, and the remaining probability belongs to the other outcome. {'p_A': 0.684210526316, 'p_not_A': 0.315789473684}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.6842105263, "p_not_A": 0.3157894737 } }
A
{ "A": 0.6842105263, "not_A": 0.3157894737 }
explicit_probability__seed_000055__repr_distractor
explicit_probability__seed_000055
[ "A", "not_A" ]
(0.55,0.70]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
55
{ "irrelevant": { "batch_code": "ZX-055", "container_temperature_c": 15.3, "operator_shift": "swing", "sensor_revision": "rev-1", "warehouse_lane": "B" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.6842105263, "p_not_A": 0.3157894737 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.7368421053, "p_not_A": 0.2631578947 } }
A
{ "A": 0.7368421053, "not_A": 0.2631578947 }
explicit_probability__seed_000056__repr_direct
explicit_probability__seed_000056
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
56
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.7368421053, "p_not_A": 0.2631578947 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.7368421053, "p_not_A": 0.2631578947 } }
A
{ "A": 0.7368421053, "not_A": 0.2631578947 }
explicit_probability__seed_000056__repr_ratio
explicit_probability__seed_000056
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
56
{ "probability_ratio_A_to_not_A": "37:13", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.7368421053, "p_not_A": 0.2631578947 } }
A
{ "A": 0.7368421053, "not_A": 0.2631578947 }
explicit_probability__seed_000056__repr_prose
explicit_probability__seed_000056
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
56
{ "description": "The state fully determines the target distribution. The probability of A is 0.736842105263, and the remaining probability belongs to the other outcome. {'p_A': 0.736842105263, 'p_not_A': 0.263157894737}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.7368421053, "p_not_A": 0.2631578947 } }
A
{ "A": 0.7368421053, "not_A": 0.2631578947 }
explicit_probability__seed_000056__repr_distractor
explicit_probability__seed_000056
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
56
{ "irrelevant": { "batch_code": "ZX-056", "container_temperature_c": 16, "operator_shift": "night", "sensor_revision": "rev-2", "warehouse_lane": "C" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.7368421053, "p_not_A": 0.2631578947 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.7894736842000001, "p_not_A": 0.2105263158 } }
A
{ "A": 0.7894736842000001, "not_A": 0.2105263158 }
explicit_probability__seed_000057__repr_direct
explicit_probability__seed_000057
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
57
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.7894736842000001, "p_not_A": 0.2105263158 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.7894736842000001, "p_not_A": 0.2105263158 } }
A
{ "A": 0.7894736842000001, "not_A": 0.2105263158 }
explicit_probability__seed_000057__repr_ratio
explicit_probability__seed_000057
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
57
{ "probability_ratio_A_to_not_A": "79:21", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.7894736842000001, "p_not_A": 0.2105263158 } }
A
{ "A": 0.7894736842000001, "not_A": 0.2105263158 }
explicit_probability__seed_000057__repr_prose
explicit_probability__seed_000057
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
57
{ "description": "The state fully determines the target distribution. The probability of A is 0.789473684211, and the remaining probability belongs to the other outcome. {'p_A': 0.789473684211, 'p_not_A': 0.21052631578900005}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.7894736842000001, "p_not_A": 0.2105263158 } }
A
{ "A": 0.7894736842000001, "not_A": 0.2105263158 }
explicit_probability__seed_000057__repr_distractor
explicit_probability__seed_000057
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
57
{ "irrelevant": { "batch_code": "ZX-057", "container_temperature_c": 16.7, "operator_shift": "morning", "sensor_revision": "rev-3", "warehouse_lane": "D" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.7894736842000001, "p_not_A": 0.2105263158 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.8421052632, "p_not_A": 0.15789473680000002 } }
A
{ "A": 0.8421052632, "not_A": 0.15789473680000002 }
explicit_probability__seed_000058__repr_direct
explicit_probability__seed_000058
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
58
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.8421052632, "p_not_A": 0.15789473680000002 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.8421052632, "p_not_A": 0.15789473680000002 } }
A
{ "A": 0.8421052632, "not_A": 0.15789473680000002 }
explicit_probability__seed_000058__repr_ratio
explicit_probability__seed_000058
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
58
{ "probability_ratio_A_to_not_A": "21:4", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.8421052632, "p_not_A": 0.15789473680000002 } }
A
{ "A": 0.8421052632, "not_A": 0.15789473680000002 }
explicit_probability__seed_000058__repr_prose
explicit_probability__seed_000058
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
58
{ "description": "The state fully determines the target distribution. The probability of A is 0.842105263158, and the remaining probability belongs to the other outcome. {'p_A': 0.842105263158, 'p_not_A': 0.15789473684199995}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.8421052632, "p_not_A": 0.15789473680000002 } }
A
{ "A": 0.8421052632, "not_A": 0.15789473680000002 }
explicit_probability__seed_000058__repr_distractor
explicit_probability__seed_000058
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
58
{ "irrelevant": { "batch_code": "ZX-058", "container_temperature_c": 17.4, "operator_shift": "swing", "sensor_revision": "rev-4", "warehouse_lane": "E" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.8421052632, "p_not_A": 0.15789473680000002 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.8947368421, "p_not_A": 0.1052631579 } }
A
{ "A": 0.8947368421, "not_A": 0.1052631579 }
explicit_probability__seed_000059__repr_direct
explicit_probability__seed_000059
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
59
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.8947368421, "p_not_A": 0.1052631579 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.8947368421, "p_not_A": 0.1052631579 } }
A
{ "A": 0.8947368421, "not_A": 0.1052631579 }
explicit_probability__seed_000059__repr_ratio
explicit_probability__seed_000059
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
59
{ "probability_ratio_A_to_not_A": "89:11", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.8947368421, "p_not_A": 0.1052631579 } }
A
{ "A": 0.8947368421, "not_A": 0.1052631579 }
explicit_probability__seed_000059__repr_prose
explicit_probability__seed_000059
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
59
{ "description": "The state fully determines the target distribution. The probability of A is 0.894736842105, and the remaining probability belongs to the other outcome. {'p_A': 0.894736842105, 'p_not_A': 0.10526315789499996}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.8947368421, "p_not_A": 0.1052631579 } }
A
{ "A": 0.8947368421, "not_A": 0.1052631579 }
explicit_probability__seed_000059__repr_distractor
explicit_probability__seed_000059
[ "A", "not_A" ]
(0.70,0.90]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
59
{ "irrelevant": { "batch_code": "ZX-059", "container_temperature_c": 18.1, "operator_shift": "night", "sensor_revision": "rev-5", "warehouse_lane": "F" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.8947368421, "p_not_A": 0.1052631579 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.9473684211000001, "p_not_A": 0.0526315789 } }
A
{ "A": 0.9473684211000001, "not_A": 0.0526315789 }
explicit_probability__seed_000060__repr_direct
explicit_probability__seed_000060
[ "A", "not_A" ]
(0.90,0.99]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
60
{ "representation": "direct", "sufficient_statistics": { "p_A": 0.9473684211000001, "p_not_A": 0.0526315789 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.9473684211000001, "p_not_A": 0.0526315789 } }
A
{ "A": 0.9473684211000001, "not_A": 0.0526315789 }
explicit_probability__seed_000060__repr_ratio
explicit_probability__seed_000060
[ "A", "not_A" ]
(0.90,0.99]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
60
{ "probability_ratio_A_to_not_A": "19:1", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.9473684211000001, "p_not_A": 0.0526315789 } }
A
{ "A": 0.9473684211000001, "not_A": 0.0526315789 }
explicit_probability__seed_000060__repr_prose
explicit_probability__seed_000060
[ "A", "not_A" ]
(0.90,0.99]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
60
{ "description": "The state fully determines the target distribution. The probability of A is 0.947368421053, and the remaining probability belongs to the other outcome. {'p_A': 0.947368421053, 'p_not_A': 0.05263157894699999}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 0.9473684211000001, "p_not_A": 0.0526315789 } }
A
{ "A": 0.9473684211000001, "not_A": 0.0526315789 }
explicit_probability__seed_000060__repr_distractor
explicit_probability__seed_000060
[ "A", "not_A" ]
(0.90,0.99]
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
60
{ "irrelevant": { "batch_code": "ZX-060", "container_temperature_c": 18.8, "operator_shift": "morning", "sensor_revision": "rev-1", "warehouse_lane": "A" }, "representation": "distractor", "sufficient_statistics": { "p_A": 0.9473684211000001, "p_not_A": 0.0526315789 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 1, "p_not_A": 0 } }
A
{ "A": 1, "not_A": 0 }
explicit_probability__seed_000061__repr_direct
explicit_probability__seed_000061
[ "A", "not_A" ]
1
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
direct
61
{ "representation": "direct", "sufficient_statistics": { "p_A": 1, "p_not_A": 0 } }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 1, "p_not_A": 0 } }
A
{ "A": 1, "not_A": 0 }
explicit_probability__seed_000061__repr_ratio
explicit_probability__seed_000061
[ "A", "not_A" ]
1
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
ratio
61
{ "probability_ratio_A_to_not_A": "1:0", "representation": "ratio" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 1, "p_not_A": 0 } }
A
{ "A": 1, "not_A": 0 }
explicit_probability__seed_000061__repr_prose
explicit_probability__seed_000061
[ "A", "not_A" ]
1
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
prose
61
{ "description": "The state fully determines the target distribution. The probability of A is 1, and the remaining probability belongs to the other outcome. {'p_A': 1.0, 'p_not_A': 0.0}", "representation": "natural_language" }
0.1.0
1
explicit_probability
{ "parameters": { "p_A": 1, "p_not_A": 0 } }
A
{ "A": 1, "not_A": 0 }
explicit_probability__seed_000061__repr_distractor
explicit_probability__seed_000061
[ "A", "not_A" ]
1
Given the fully specified state, what is the probability that event A occurs? Return a normalized probability for each of: A, not_A.
distractor
61
{ "irrelevant": { "batch_code": "ZX-061", "container_temperature_c": 19.5, "operator_shift": "swing", "sensor_revision": "rev-2", "warehouse_lane": "B" }, "representation": "distractor", "sufficient_statistics": { "p_A": 1, "p_not_A": 0 } }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 10, "zor": 40 }, "reduced_counts": { "nif": 1, "zor": 4 } } }
zor
{ "nif": 0.2, "zor": 0.8 }
frequency__seed_000042__repr_counts
frequency__seed_000042
[ "zor", "nif" ]
(0.70,0.90]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
counts
42
{ "counts": { "nif": 200, "zor": 800 }, "representation": "counts", "sampling": "uniform" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 10, "zor": 40 }, "reduced_counts": { "nif": 1, "zor": 4 } } }
zor
{ "nif": 0.2, "zor": 0.8 }
frequency__seed_000042__repr_scaled_counts
frequency__seed_000042
[ "zor", "nif" ]
(0.70,0.90]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
scaled_counts
42
{ "counts": { "nif": 20000, "zor": 80000 }, "representation": "counts", "sampling": "uniform" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 10, "zor": 40 }, "reduced_counts": { "nif": 1, "zor": 4 } } }
zor
{ "nif": 0.2, "zor": 0.8 }
frequency__seed_000042__repr_ratio
frequency__seed_000042
[ "zor", "nif" ]
(0.70,0.90]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
ratio
42
{ "probability_ratio_zor_to_nif": "4:1", "representation": "ratio" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 10, "zor": 40 }, "reduced_counts": { "nif": 1, "zor": 4 } } }
zor
{ "nif": 0.2, "zor": 0.8 }
frequency__seed_000042__repr_table
frequency__seed_000042
[ "zor", "nif" ]
(0.70,0.90]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
table
42
{ "representation": "table", "state": { "counts": { "nif": 10, "zor": 40 }, "sampling": "uniform" }, "table": [ { "count": 40, "label": "zor" }, { "count": 10, "label": "nif" } ] }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 10, "zor": 40 }, "reduced_counts": { "nif": 1, "zor": 4 } } }
zor
{ "nif": 0.2, "zor": 0.8 }
frequency__seed_000042__repr_prose
frequency__seed_000042
[ "zor", "nif" ]
(0.70,0.90]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
prose
42
{ "description": "The state fully determines the target distribution. The probability of zor is 0.8, and the remaining probability belongs to the other outcome. {'counts': {'zor': 40, 'nif': 10}, 'sampling': 'uniform'}", "representation": "natural_language" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 10, "zor": 40 }, "reduced_counts": { "nif": 1, "zor": 4 } } }
zor
{ "nif": 0.2, "zor": 0.8 }
frequency__seed_000042__repr_distractor
frequency__seed_000042
[ "zor", "nif" ]
(0.70,0.90]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
distractor
42
{ "irrelevant": { "batch_code": "ZX-042", "container_temperature_c": 18.1, "operator_shift": "morning", "sensor_revision": "rev-3", "warehouse_lane": "A" }, "representation": "distractor", "sufficient_statistics": { "counts": { "nif": 10, "zor": 40 }, "sampling": "uni...
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 7, "zor": 13 }, "reduced_counts": { "nif": 7, "zor": 13 } } }
zor
{ "nif": 0.35000000000000003, "zor": 0.65 }
frequency__seed_000046__repr_counts
frequency__seed_000046
[ "zor", "nif" ]
(0.55,0.70]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
counts
46
{ "counts": { "nif": 350, "zor": 650 }, "representation": "counts", "sampling": "uniform" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 7, "zor": 13 }, "reduced_counts": { "nif": 7, "zor": 13 } } }
zor
{ "nif": 0.35000000000000003, "zor": 0.65 }
frequency__seed_000046__repr_scaled_counts
frequency__seed_000046
[ "zor", "nif" ]
(0.55,0.70]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
scaled_counts
46
{ "counts": { "nif": 35000, "zor": 65000 }, "representation": "counts", "sampling": "uniform" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 7, "zor": 13 }, "reduced_counts": { "nif": 7, "zor": 13 } } }
zor
{ "nif": 0.35000000000000003, "zor": 0.65 }
frequency__seed_000046__repr_ratio
frequency__seed_000046
[ "zor", "nif" ]
(0.55,0.70]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
ratio
46
{ "probability_ratio_zor_to_nif": "13:7", "representation": "ratio" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 7, "zor": 13 }, "reduced_counts": { "nif": 7, "zor": 13 } } }
zor
{ "nif": 0.35000000000000003, "zor": 0.65 }
frequency__seed_000046__repr_table
frequency__seed_000046
[ "zor", "nif" ]
(0.55,0.70]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
table
46
{ "representation": "table", "state": { "counts": { "nif": 7, "zor": 13 }, "sampling": "uniform" }, "table": [ { "count": 13, "label": "zor" }, { "count": 7, "label": "nif" } ] }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 7, "zor": 13 }, "reduced_counts": { "nif": 7, "zor": 13 } } }
zor
{ "nif": 0.35000000000000003, "zor": 0.65 }
frequency__seed_000046__repr_prose
frequency__seed_000046
[ "zor", "nif" ]
(0.55,0.70]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
prose
46
{ "description": "The state fully determines the target distribution. The probability of zor is 0.65, and the remaining probability belongs to the other outcome. {'counts': {'zor': 13, 'nif': 7}, 'sampling': 'uniform'}", "representation": "natural_language" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 7, "zor": 13 }, "reduced_counts": { "nif": 7, "zor": 13 } } }
zor
{ "nif": 0.35000000000000003, "zor": 0.65 }
frequency__seed_000046__repr_distractor
frequency__seed_000046
[ "zor", "nif" ]
(0.55,0.70]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
distractor
46
{ "irrelevant": { "batch_code": "ZX-046", "container_temperature_c": 20.9, "operator_shift": "swing", "sensor_revision": "rev-2", "warehouse_lane": "E" }, "representation": "distractor", "sufficient_statistics": { "counts": { "nif": 7, "zor": 13 }, "sampling": "unifor...
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 71, "zor": 29 }, "reduced_counts": { "nif": 71, "zor": 29 } } }
nif
{ "nif": 0.71, "zor": 0.29 }
frequency__seed_000050__repr_counts
frequency__seed_000050
[ "zor", "nif" ]
(0.10,0.30]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
counts
50
{ "counts": { "nif": 710, "zor": 290 }, "representation": "counts", "sampling": "uniform" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 71, "zor": 29 }, "reduced_counts": { "nif": 71, "zor": 29 } } }
nif
{ "nif": 0.71, "zor": 0.29 }
frequency__seed_000050__repr_scaled_counts
frequency__seed_000050
[ "zor", "nif" ]
(0.10,0.30]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
scaled_counts
50
{ "counts": { "nif": 71000, "zor": 29000 }, "representation": "counts", "sampling": "uniform" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 71, "zor": 29 }, "reduced_counts": { "nif": 71, "zor": 29 } } }
nif
{ "nif": 0.71, "zor": 0.29 }
frequency__seed_000050__repr_ratio
frequency__seed_000050
[ "zor", "nif" ]
(0.10,0.30]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
ratio
50
{ "probability_ratio_zor_to_nif": "29:71", "representation": "ratio" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 71, "zor": 29 }, "reduced_counts": { "nif": 71, "zor": 29 } } }
nif
{ "nif": 0.71, "zor": 0.29 }
frequency__seed_000050__repr_table
frequency__seed_000050
[ "zor", "nif" ]
(0.10,0.30]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
table
50
{ "representation": "table", "state": { "counts": { "nif": 71, "zor": 29 }, "sampling": "uniform" }, "table": [ { "count": 29, "label": "zor" }, { "count": 71, "label": "nif" } ] }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 71, "zor": 29 }, "reduced_counts": { "nif": 71, "zor": 29 } } }
nif
{ "nif": 0.71, "zor": 0.29 }
frequency__seed_000050__repr_prose
frequency__seed_000050
[ "zor", "nif" ]
(0.10,0.30]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
prose
50
{ "description": "The state fully determines the target distribution. The probability of zor is 0.29, and the remaining probability belongs to the other outcome. {'counts': {'zor': 29, 'nif': 71}, 'sampling': 'uniform'}", "representation": "natural_language" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 71, "zor": 29 }, "reduced_counts": { "nif": 71, "zor": 29 } } }
nif
{ "nif": 0.71, "zor": 0.29 }
frequency__seed_000050__repr_distractor
frequency__seed_000050
[ "zor", "nif" ]
(0.10,0.30]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
distractor
50
{ "irrelevant": { "batch_code": "ZX-050", "container_temperature_c": 23.7, "operator_shift": "night", "sensor_revision": "rev-1", "warehouse_lane": "C" }, "representation": "distractor", "sufficient_statistics": { "counts": { "nif": 71, "zor": 29 }, "sampling": "unifo...
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 16, "zor": 4 }, "reduced_counts": { "nif": 4, "zor": 1 } } }
nif
{ "nif": 0.8, "zor": 0.2 }
frequency__seed_000054__repr_counts
frequency__seed_000054
[ "zor", "nif" ]
(0.10,0.30]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
counts
54
{ "counts": { "nif": 800, "zor": 200 }, "representation": "counts", "sampling": "uniform" }
0.1.0
2
frequency
{ "parameters": { "counts": { "nif": 16, "zor": 4 }, "reduced_counts": { "nif": 4, "zor": 1 } } }
nif
{ "nif": 0.8, "zor": 0.2 }
frequency__seed_000054__repr_scaled_counts
frequency__seed_000054
[ "zor", "nif" ]
(0.10,0.30]
An item is sampled uniformly from the collection. What is the probability distribution over item labels? Return a normalized probability for each of: zor, nif.
scaled_counts
54
{ "counts": { "nif": 80000, "zor": 20000 }, "representation": "counts", "sampling": "uniform" }
End of preview. Expand in Data Studio

Sys1Cal-v1

image

PAPER: Jev thinks "I don't know", but doesn't say it: Introducing Sys1Cal-v1 Dataset for Probability Calibration

Sys1Cal-v1 is a synthetic benchmark for probability calibration in Jev-like typed decision models. Each item is a True/False question about a proposition A where the exact probability P(A) is known by construction. The benchmark evaluates whether a model returns probabilities with the right numerical meaning, not only whether it selects the right label.

Dataset Summary

Sys1Cal-v1 procedurally constructs probability problems with exact gold distributions, renders equivalent forms of the same latent item, and queries the proposition through Jev-style primitives:

  • noul: one scalar probability that the proposition is true.
  • choice: a categorical distribution over False and True.
  • score: a distribution over ordered truth levels, evaluated by expected normalized truth value.

The primary metric is total variation distance from the exact gold distribution. For binary True/False questions, this is exactly absolute probability error.

Splits and Configs

Both configs expose a single test split.

Config File Rows Use
parallel_primitives data/v0.1.0_tiny_cleanvars_parallel_primitives.jsonl 365 Main Noul/Choice/Score benchmark contract
binary data/v0.1.0_tiny_cleanvars_binary.jsonl 365 Binary Choice-like probability recovery

Load

from datasets import load_dataset

ds = load_dataset("RiccardoPorcedda/Sys1Cal-v1", "parallel_primitives", split="test")
print(ds[0])

For local use before upload:

from datasets import load_dataset

ds = load_dataset(
    "json",
    data_files="data/v0.1.0_tiny_cleanvars_parallel_primitives.jsonl",
    split="train",
)

Row Schema

Important fields:

  • instance_id: unique rendered benchmark item id.
  • latent_instance_id: shared id for equivalent representations of the same latent probability problem.
  • family: generator family.
  • representation: rendering form, such as direct, counts, ratio, table, prose, or distractor.
  • state: sufficient information for the model.
  • proposition and prompt: proposition being evaluated.
  • queries: Noul/Choice/Score query objects for the parallel primitive config.
  • outcomes: usually ["True", "False"].
  • gold_distribution: exact target distribution.
  • gold_argmax: exact argmax label.
  • probability_band: bin for the true probability.

Minimal Example

{
  "instance_id": "explicit_probability__seed_000042__repr_direct__parallel_primitives",
  "latent_instance_id": "explicit_probability__seed_000042",
  "family": "explicit_probability",
  "representation": "direct",
  "proposition": "Event A is true.",
  "outcomes": ["True", "False"],
  "gold_distribution": {"False": 1.0, "True": 0.0},
  "queries": {
    "noul": {"proposition": "Event A is true."},
    "choice": {
      "question": "What is the truth status of the following proposition?",
      "proposition": "Event A is true.",
      "options": ["False", "True"]
    },
    "score": {
      "question": "To what degree is the following proposition true?",
      "proposition": "Event A is true."
    }
  }
}

Evaluation

This repository includes a standalone evaluator:

python scripts/evaluate_sys1cal.py \
  --dataset data/v0.1.0_tiny_cleanvars_parallel_primitives.jsonl \
  --predictions examples/predictions_minimal.jsonl \
  --output evaluation_summary.json

Prediction rows must include instance_id and one of:

  • predicted_distribution, distribution, prediction, or probabilities, with labels such as True and False;
  • probability_true or p_true, for binary True/False submissions.

The evaluator reports accuracy, pointwise probability fidelity (1 - TV), total variation distance, and Brier regret overall and by model/group, family, representation, and probability band.

How to cite

@misc{porcedda2026sys1cal,
  title = {Jev thinks "I don't know", but doesn't say it: Introducing Sys1Cal-v1 Dataset for Probability Calibration},
  author = {Riccardo Porcedda},
  year = {2026},
  eprint = {2609.35342},
  archivePrefix = {arXiv},
  primaryClass = {cs.AI},
  doi = {10.48550/arXiv.2609.35342},
  url = {https://arxiv.org/abs/2609.35342}
}

GitHub Repo

https://github.com/little-g-ai/Sys1Cal-v1
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