265.Meeting in the Final
★★★classical probabilityCh. 2 — Axiomatic and Conditional Probability444+ Problems in Probability
A single-elimination chess tournament has 128 players with distinct ratings, and the higher-rated player always wins. The bracket is drawn uniformly at random. What is the probability that the highest-rated and second-highest-rated players meet in the final?
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They meet in the final if and only if they start in opposite halves of the bracket.
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