You are playing Andy Roddick in tennis, and you have a 42% chance of winning each point. (You are good!)

a. Use simulation to estimate the probability you will win a particular game. Note that the first player to score at least 4 points and have at least 2 more points than his opponent wins the game.

b. Use simulation to determine your probability of winning a set. Assume that the first player to win 6 games wins the set if he is at least 2 games ahead; otherwise, the first player to win 7 games wins the set.

c. Use simulation to determine your probability of winning a match. Assume that the first player to win 3 sets wins the match.