HMMT 2021 U13
- Guts
- Answer
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 .
Dataset text NuminaMath olympiads. Quoted with source.
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