Probability 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 the problem is solved.

2/3

Probability of solving the problem by A, is P(A) = 1/2

Probability of solving the problem by B, is P(B) = 1/3

Since the problem is solved independently by A and B,

so, P(AB) = P(A). P(B) = (1/2) x(1/3) = 1/6

Probability that the problem is solved = P(A∪B)

                                                       = P(A) + P(B) - P(AB)

                                                       = (1/2) + (1/3) - (1/6)

                                                        = 2/3