benchmarks.wiki / Public workspace
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Omni-MATH / A tournament among 2021 ranked teams is played over 2020 rounds. In each round,…
Problem
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problem
A tournament among 2021 ranked teams is played over 2020 rounds. In each round, two teams are selected uniformly at random among all remaining teams to play against each other. The better ranked team always wins, and the worse ranked team is eliminated. Let be the probability that the second best ranked team is eliminated in the last round. Compute .
Plain-text mathematical notation (without MathML)
A tournament among 2021 ranked teams is played over 2020 rounds. In each round, two teams are selected uniformly at random among all remaining teams to play against each other. The better ranked team always wins, and the worse ranked team is eliminated. Let p be the probability that the second best ranked team is eliminated in the last round. Compute ⌊2021p⌋.
Original LaTeX notation
A tournament among 2021 ranked teams is played over 2020 rounds. In each round, two teams are selected uniformly at random among all remaining teams to play against each other. The better ranked team always wins, and the worse ranked team is eliminated. Let $p$ be the probability that the second best ranked team is eliminated in the last round. Compute $\lfloor 2021 p \rfloor$.
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Source and history
- task_id
b683b515-5434-5c4d-b8ec-69bf961cadd4- task_key
test--b683b515-5434-5c4d-b8ec-69bf961cadd4- task_revision_id
- 1
- config / split
- / test
initial import