Probability question chess tournament

1 year ago
9

A chess tournament has 2n players with skills 1,2,...2. It is organized as a knockout tournament so that after each round, only the winner proceeds to the next round. Except for the final, opponents in each round are drawn at random. Let's also assume that when two players meet in the game, the player with better skills always wins. What is the probability that players one and two will meet in the final?

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