Probabilities of solving a specific problem independently by A and B are 1/2 and 1/3 respectively. If both try to solve the problem independently, find the probability that
(i) The problem is solved
(ii) exactly one of them solves the problem.

Question

Shiksha Nation · Accepted Answer

Let E be the event that the problem is solved by A and F be the event that the problem is solved by B. Then, we have P(E) = 1/2 and P(F) = 1/3

Probabilities of solving a specific problem independently by A and B are 1/2 and 1/3 respectively. If both try to solve the problem independently, find the probability that(i) The problem is solved (ii) exactly one of them solves the problem.