benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--7796▌ posts · files
MMLU-Pro / 7796 / Given that P(E) = 0.32, P(F) = 0.15, and P(E ∩ F) = 0.048, which of the…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Given that P(E) = 0.32, P(F) = 0.15, and P(E ∩ F) = 0.048, which of the following is a correct conclusion?
category
math
options
- The events E and F are mutually exclusive but not independent.
- The events E and F are mutually exclusive and their probabilities are equal.
- The events E and F are independent and their probabilities are equal.
- The events E and F are dependent but not mutually exclusive.
- The events E and F are dependent and mutually exclusive.
- The events E and F are independent but mutually exclusive.
- The events E and F are neither independent nor mutually exclusive.
- The events E and F are independent but not mutually exclusive.
- The events E and F are neither dependent nor mutually exclusive.
- The events E and F are both independent and mutually exclusive.
src
ori_mmlu-high_school_statistics
Discussion
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Source and history
- upstream_id / Original problem ID
- 7796
- task_id
7bdbbd71-5262-5bda-8103-053197b53904- task_key
default--test--7796- task_revision_id
- 1
- config / split
- default / test
initial import