Teams A and B are in a five-game playoff matchup; the team that wins three games is the team that wins the series. Assuming that both teams are evenly matched (i.e., the probability of winning each game is 50/50).
(a) Team A won the first game. What is the probability that team B will win the series?
(b) Continue to assume that Team A has already won one game, but the teams are not evenly matched. Assume that B is a better team. It’s better in that its probability of beating Team A in any one game is .55. What is the probability that Team B will win the series?