The probability of India winning a test match against West Indies is 1/2. Assuming independence from match to match, find the probability that in a match series Indias second win occurs at the third test.

The odds against two events are 2:7 and 7:5 respectivel. If the events are independent, find the probability that at least one of them will occur.

The probability of winning a race by three persons A ,B , and C are 1/2, 1/4 and 1/4 , respectively. They run two races. The probability of A winning the second race when B , wins the first race is (A) 1/3 (B) 1/2 (C) 1/4 (D) 2/3

In a cricket match, a batswoman hits a boundary 6 times out of 30 balls she plays. Find the probability that she did not hit a boundary.

India play two matches each with West Indies and Australia. In any match the probabilities of India getting 0,1 and 2 points are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is 0. 0875 b. 1//16 c. 0. 1125 d. none of these

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.

Two players P_(1)and P_(2) are playing the final of a chess championship, which consists of a series of matches. Probability of P_(1) winning a match is 2/3 and that of P_(2) is 1/3. Thus winner will be the one who is ahead by 2 games as compared to the other player and wins at least 6 games. Now, if the player P_(2) wins the first four matches, find the probability of P_(1) wining the championship.

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?

Football teams T_(1)and T_(2) have to play two games are independent. The probabilities of T_(1) winning, drawing and lossing a game against T_(2) are 1/6,1/6and 1/3, respectively. Each team gets 3 points for a win, 1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total points scored by teams T_(1) and T_(2) respectively, after two games. P(X=Y) is

If the events E_1, E_2,………….E_n are independent and such that P(E_i^C) = i/(i+1) , i=1, 2,……n, then find the probability that at least one of the n events occur.

Football teams T_(1) "and" T_(2) have to play two games against each other. It is assumed that the outcomes of the two games are independent. The probabillities of T_(1) winning, drawing and losing a game against T_(2) "are" 1/2, 1/6 "and" 1/3 respectively. Each team gets 3 points for a win 1 point for a draw and 0 point for a loss in a game. Let X and Y denote the total points scored by teams T_(1) "and" T_(2) respectively after two games. P(X>Y) is equal to