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Pair Playing Probability (Posted on 2005-08-02) Difficulty: 3 of 5
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?

See The Solution Submitted by Old Original Oskar!    
Rating: 3.0000 (2 votes)

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Some Thoughts re: My Answer | Comment 11 of 31 |
(In reply to My Answer by Gary)

This is wrong. Imagine there are three players: 1, 2 and 3 -- 1 will play 2, and the winner will play 3.

If you are at #1, and the other at #2 (or you at #2 and the other at #1) you'll meet with certainty.

If you are at #1 or #2, and the other at #3 (or you at #3 and the other at #1 or #2) you'll meet with 50% probability.

Then, in 2 out of 6 chances it's a sure thing, and in 4 out of 6, a 50% thing -- summing everything, the chances are 2 out of 3 you'll meet... and this agrees with Charlie and e.g., and not with Pcbouhid's result or yours.

  Posted by Federico Kereki on 2005-08-03 04:07:48

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