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`

A is targeting to B, B and C are targeting to A. probability of hitting the target by A, B and C are 2/3, 1.2 and 1/3, respectively. If A is hit, then find the Probability that B hits the target and C does not.

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 India’s second win occurs at the third test.

Whenever horses a , b , c race together, their respective probabilities of winning the race are 0.3, 0.5, and 0.2 respectively. If they race three times, the probability that the same horse wins all the three races, and the probability that a , b ,c each wins one race are, respectively. a. 8//50 ,9//50 b. 16//100 ,3//100 c. 12//50 , 15//50 d. 10//50 ,8//50

Three persons work independently on a problem. If the respective probabilities that they will solve it are 1/3, 1/4 and 1/5, then find the probability that not can solve it.

Five horses are in a race. Mr. A selects two of the horses at random and bets on them. The probability that Mr. A selected the winning horse is (A) 3/5 (B) 1/5 (C) 2/5 (D) 4/5

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 1/2,1/6and 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(XgtY) is

Probability that A speaks truth is 4/5 . A coin is tossed. A reports that a head appears. The probability that actually there was head is (A) 4/5 (B) 1/2 (C) 1/5 (D) 2/5

Three persons A,B,C take part in a competition.A is 4 times as likely as B to win,and B is thrice as likely as C to win .Find the probability of A,B,C to win the competition.

The probabilities of three mutually exclusive events A, B and C are given by (1)/(3) , (1)/(4) and (5)/(12) . Then P(AuuBuuC) is ...............