A single which can can be green or red with probability `2/3 and 1/5` respectively, is received by station A and then transmitted to station B. The probability of each station reciving the signal correctly is `3/4.` If the singal received at station B is green, then the probability that original singal was green is

A signal which can be green or red with probability 4/5 and 1/5 respectively, is received by station A and then and 3 transmitted to station B. The probability of each station receiving the signal correctly is 3/4 If the signal received at station B is green, then the probability that the original signal was green is (a) 3/5 (b) 6/7 (d) 20/23 (d) 9/20

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.

Four persons can hit a target correctly with probabilities (1)/(2),(1)/(3),(1)/(4) and (1)/(8) respectively.If all hit at the target independently, then the probability that the target would be hit, is

The probability that A can solve a problem is 2//3 and B can solve it is 3//4 . If both attempt the problem, what is the probability that the problem gets solved ?

The probability of event A is 3//4 . The probability of event B , given that event A occurs is 1//4 . The probability of event A , given that event B occurs is 2//3 . The probability that neither event occurs is

The probabilities that A and b can solve a problem independently are 1/3 and 1/4 respectively. If both try to solve the problem independently, find the probability that: (i) problem will be solved

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 probabilities of hitting a target by A, B and C are 3/5,3/4 and 1/3 respectively. If all three hits the target simultaneously then find the probability of hitting the target by the least two of them.

A and B appear for an interview for two posts. The probability of A's section is (1//3) and that of B's selection is (2//5) . Find the probability that only one of them will be selected.

Three persons A,B and C fire a target in turn . Their probabilities of hitting the target are 0.4 , 0.3 and 0.2 respectively . The probability of two hits is