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Sania Mirza is to play with Sharapova in a three set match. For a particular set, the probability of Sania winning the set is √y and if she wins probability of her winning the next set becomes y else the probability that she wins the next one becomes y2. There is no possibility that a set is to be abandoned. R is the probability that Sania wins the first set. If R = 1/2 and Sania wins the second set, then the probability that she has won first set as well is nearly equal to
a.`0. 74` b. `0. 46` c. `0. 26` d. `0. 54`

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Sania Mirza is to play with Sharapova in a three set match. For a particular set, the probability of Sania winning the set is √y and if she wins probability of her winning the next set becomes y else the probability that she wins the next one becomes y2. There is no possibility that a set is to be abandoned. R is the probability that Sania wins the first set If Sania loses the first set then the values of R such that her probability of winning the match is still larger than that of her loosing are given by a. R in (1/2,1) b. R in ((1/2)^(1/3),1) c. R in ((1/2)^(3//2),1) d. no values of R

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