Before a knockout tournament with 2^n players I pick two players. What is the probability that they have to play against each other at some point in the tournament?
If the score is 8-8 do I have more chance of winning if the winner is the first to reach 9 points or the first to reach 10 points?
A player has probability 0.4 of winning a single game. What is his probability of winning a 'best of 15 games' tournament?