any best of seven series are scheduled so that the first two games are played at the home field of team A, the next three mes are played at the home field of team B, and the last two are played back at the home field of team A. Of course, if e team wins 4 games before the series is over, then the remaining games will not be played. Assume that both reams win their own home field with probability . a) What is the probability that team A wins the series? b) What is the expected number of games that the series goes to?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Many best of seven series are scheduled so that the first two games are played at the home field of team A, the next three
games are played at the home field of team B, and the last two are played back at the home field of team A. Of course,
one team wins 4 games before the series is over, then the remaining games will not be played. Assume that both reams win
on their own home field with probability.
if
(a) What is the probability that team A wins the series?
(b) What is the expected number of games that the series goes to?
Transcribed Image Text:Many best of seven series are scheduled so that the first two games are played at the home field of team A, the next three games are played at the home field of team B, and the last two are played back at the home field of team A. Of course, one team wins 4 games before the series is over, then the remaining games will not be played. Assume that both reams win on their own home field with probability. if (a) What is the probability that team A wins the series? (b) What is the expected number of games that the series goes to?
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