benchmarks.wiki / Public workspace
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Omni-MATH / There are four people in a room. For every two people, there is a 50% chance that they are friends. Two people are connected if they are friends, or a third person is friends with …
Problem
Answer published by the source. Consult the official source to check your work against its answer.
problem
There are four people in a room. For every two people, there is a chance that they are friends. Two people are connected if they are friends, or a third person is friends with both of them, or they have different friends who are friends of each other. What is the probability that every pair of people in this room is connected?
Plain-text mathematical notation (without MathML)
There are four people in a room. For every two people, there is a 50% chance that they are friends. Two people are connected if they are friends, or a third person is friends with both of them, or they have different friends who are friends of each other. What is the probability that every pair of people in this room is connected?
Original LaTeX notation
There are four people in a room. For every two people, there is a $50 \%$ chance that they are friends. Two people are connected if they are friends, or a third person is friends with both of them, or they have different friends who are friends of each other. What is the probability that every pair of people in this room is connected?
Discussion
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Source and history
- task_id
178a8866-525d-50ba-b872-7ef0dfefffe2- task_key
test--178a8866-525d-50ba-b872-7ef0dfefffe2- task_revision_id
- 1
- config / split
- / test
initial import