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?
(In reply to
re: The full tournament by pcbouhid)
The odds that they both meet in the second round are 1/2 (the odds that
the first player wins his first match) times 1/2 (the odds that the
second player also wins) times 2/3 (the odds that they didn't meet in
the first round), which equals 1/6.
Adding the odds that they did meet in the first round (1/3) together, produces 1/2 as it should.
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Posted by e.g.
on 2005-08-05 01:30:58 |
re(2): The full tournament
