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`

The probability of hitting a target by three marksmen are 1/2, 1/3 and 1/4. Then find the probability that no one will hit the target when they fire simultaneously.

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.

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.

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 none can solve it.

A problem of Statistics is given to three students A, B and C, where chances of solving the problem individually are 1/2, 1/3 and 1/4 respectively. Find the probability that exactly one of them solve the problem.

A, B and C in order toss an unbiased coin. The first who throws 'head' wins. Find the respective probabilities of winning.

A problem on mathematics is given to three students A, B, C whose probabilities of solving it are (1)/(3), (2)/(5) and (3)/(4) respectively. Find the probability that the problem is solved.

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

A die is thrown 31 times. The probability of getting 2,4 or 5 at most 15 times is (a) (1)/(3) (b) (1)/(4) (c) (1)/(5) (d) (1)/(2)

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