benchmarks.wiki / Public workspace
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╚═╝ ╚═╝╚═╝ ╚═╝╚══════╝ ╚═════╝ ╚═╝ ╚═╝ ╚═╝ ╚═════╝ $ open /benchmarks/mmlu-pro/tasks/default--test--7870▌ posts · files
MMLU-Pro / 7870 / Let S be the set of integers between 1 and 2^40 that contain two 1’s when…
Problem
Answer published by the source. Consult the official source to check your work against its answer.
question
Let S be the set of integers between 1 and 2^40 that contain two 1’s when written in base 2. What is the probability that a random integer from S is divisible by 9?
category
math
options
- 0.0455
- 0.1705
- 0.1205
- 0.1505
- 0.2205
- 0.2005
- 0.0255
- 0.2705
- 0.3205
- 0.1005
src
theoremQA-Math
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Source and history
- upstream_id / Original problem ID
- 7870
- task_id
c4e42aae-0673-584b-bc37-1c333b08124a- task_key
default--test--7870- task_revision_id
- 1
- config / split
- default / test
initial import