Teams A and B are in a five-game playoff series; the team that
wins three games is the team that wins the series. Assume 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?