i've been watching the australian open tennis tournament with interest, and have these probability questions. assume here that two players are equally matched. also assume that the usual tennis scoring is used: a game is won by the first player to win 4 points, but you must win by 2. a set is won by the first player to win 6 games, but you must win by 2. if the game score is 6-6, a tiebreaker occurs and the first one to 7 points wins, again you have to win by 2. a match (on the men's side) is won by the first player to win 3 sets. but if the set score is 2-2, no tiebreaker is played in the last set. the first player to win 2 more games than his opponent wins the match. EASY: what is the probability that the winner of a game faced game point against him? (that is, what is the probability that the eventual winner was one point away from defeat?) HARD: what is the probability that the winner of a set faced set point against him? REALLY HARD: what is the probability that the winner of a match faced match point against him? BONUS QUESTION: how do these probabilities change if one player is favored over the other? erich