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 losed 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.

For a student to qualify, he must pass at least two out of three exams. The probability that he will pass the 1st exam is p. If he fails in one of the exams, then the probability of his passing in the next exam, is p/2 otherwise it remains the same.Find the probability that he will qualify.

In a horse race, the probability that horse A can win is 2/5 and the probability that horse B can win is 1/4 . Find the probability that any one can win the race.

In a race the probabilities of A and B winning the race are 1/3 and 1/6 respectively. Find the probability of neighter of them winning the race.

The probabilities that three children can win a race are 1/3,1/4 and 1/5 . Find the probability that any one can win the race.

If the probabiliy of a horse A winning a race is (1)/(5) and the probability of horse B winning the same race is (1)/(4) , what is the probability that one of the horses will win ?

In a match between A and B, the probability of winning of A is 0.83. What is the probability of winning of B when there is no other result then win or lose?

In a match between A and B, the probability of losing the match is 0.49 for B . What is the probability of winning of A if they had only result win or lose?

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

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

Two players, Sangeeta and Reshma, play a tennis match. It is known that the probability of Sangeeta winning the match is 0.62. What is the probability of Reshma winning the match?