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?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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?

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