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`