A tennis tournament is arranged on a straight knockout basis for 2 n players, and for each round, except the final, opponents for those still in the competition are drawn at random. The quality of the field is so even that in any match it is equally likely that either player will win. Two of the players have surnames that begin with " Q ". Find the probabilities that they play each other
1.in the final,
2. at some stage in the tournament.