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Pair Playing Probability (Posted on 2005-08-02) |
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There are N players in a tennis tournament. Assuming the initial pairings are done randomly, what are the odds that a certain pair will play each other?
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Submitted by Old Original Oskar!
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Rating: 3.0000 (2 votes)
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Solution:
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(Hide)
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There are N-1 matches. The number of possible pairings is N(N-1)/2. As all matches have the same probability, the answer is #MATCHES/#PAIRINGS = 2/N. |
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