# Probabilities of solving a specific problem independently by A and B are $$\frac{1}{2} \: and \frac{1}{3}$$ 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.

exactly one of them solve = P(A)*P(B)'*P(C)' + P(A)'*P(B)*P(C)' + P(A)'*P(B)'*P(C) = 25/56