Question

Probability of solving specific problem independently by A and B arerespectively. 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.

Answer 1

Probability of solving the problem by A, P (A) =

Probability of solving the problem by B, P (B) =

Since the problem is solved independently by A and B,

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

= P (A) + P (B) − P (AB)

(ii) Probability that exactly one of them solves the problem is given by,