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.
Answer & explanation
Correct answer: option 1
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