Sania Mirza is to play with Sharapova in a three set match. For a particular set, the probabilit...

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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\nsuch that her probability of winning the match is still larger than\nthat of her loosing are given by \n \na. R in (1/2,1)\nb. R in ((1/2)^(1/3),1)\n\nc. R in ((1/2)^(3//2),1) \nd. no values of R
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