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 I undestood right?
If this were the correct interpretation of the problem, the answer given is still not right, as there are N/2 pairings actually taking place in the first round (or (N-1)/2 if N is odd). That increases the chances by this factor, making the overall probability (N/2)/C(N,2) or ((N-1)/2)/C(N,2).
More likely though, the interpretation should be as to whether the two will play each other eventually during the tournament at some round or other.
Edited on August 2, 2005, 3:59 pm
Posted by Charlie
on 2005-08-02 15:11:25