A tennis match of best of 5 sets is played by two players and B. The probability that first set is won by A is 1/2 and he loses the first, then probability of his winning the next s is 1/4, otherwise it remains same. Find the probability that wins the match.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 44E
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A tennis match of best of 5 sets is played by two players A
and B. The probability that first set is won by A is 1/2 and if
he loses the first, then probability of his winning the next set
is 1/4, otherwise it remains same. Find the probability that A
wins the match.
Transcribed Image Text:A tennis match of best of 5 sets is played by two players A and B. The probability that first set is won by A is 1/2 and if he loses the first, then probability of his winning the next set is 1/4, otherwise it remains same. Find the probability that A wins the match.
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