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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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I undestood right? | Comment 1 of 32

If I understood right, you are asking for the odds that a certain pair will play each other IN THE FIRST ROUND.

The N players can be paired in C(N,2) - combination of N elements taken two by two. This is the numer of possible pairings.

So, the odds are 1/C(N,2).  


  Posted by pcbouhid on 2005-08-02 15:02:08
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