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

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Answered: A tennis match of best of 5 sets is…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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.