Probability of a Meet in an Elimination Tournament https://www.cut-the-knot.org/Probability/EliminationTournament.shtml … #FigureThat #math #probabilitypic.twitter.com/wjEuVUAna2
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16*31 pairs, 31 games, 1/16 probability
Why does it make sense to divide the number of games played (31) with the number of pairings (32 Choose 2 = 16*31)?
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Think in terms of games not the meets between two players, for they meet in one of the possible games.
Thanks. Twitter will use this to make your timeline better. UndoUndo
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All pairings are equiprobable since players have the same strength and a given pairing can only happen once
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Thanks! I knew that but, didn't make the connection between your point and the below: Incorrect: 1/496 + 1/495 + 1/494 + 1/493 + ... + 1/435 Correct: 1/496 + 1/496 + 1/496 + ... + 1/496 = 31/(16*31)
End of conversation
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