In a typical sports playoff series, two teams play a sequence of games until one team, the eventual winner, has won four games. Suppose that, in each game, team A beats team B with a probability of 0.39, and that the results of different games are independent. (Round your answers to 3 decimal places, if needed.) (a) What is the probability that team A wins the series in game seven? (b) What is the probability that team A wins the series in game six? (c) What is the probability that the series is over after game five?

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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In a typical sports playoff series, two teams play a sequence of games until one team, the eventual winner, has won four games.
Suppose that, in each game, team A beats team B with a probability of 0.39, and that the results of different games are independent.
(Round your answers to 3 decimal places, if needed.)
(a) What is the probability that team A wins the series in game seven?
(b) What is the probability that team A wins the series in game six?
(c) What is the probability that the series is over after game five?
(d) What is the probability that team A wins the series?
Transcribed Image Text:In a typical sports playoff series, two teams play a sequence of games until one team, the eventual winner, has won four games. Suppose that, in each game, team A beats team B with a probability of 0.39, and that the results of different games are independent. (Round your answers to 3 decimal places, if needed.) (a) What is the probability that team A wins the series in game seven? (b) What is the probability that team A wins the series in game six? (c) What is the probability that the series is over after game five? (d) What is the probability that team A wins the series?
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