The 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.
Correct: A
Let P(A) be the probability that A solves the problem and P(B) be the probability that B solves the problem. We are given P(A) = 1/2 and P(B) = 1/3. The probability that the problem is solved is P(A∪B) = P(A) + P(B) - P(A∩B). Since A and B are independent, P(A∩B) = P(A) * P(B) = (1/2) * (1/3) = 1/6. Therefore, P(A∪B) = 1/2 + 1/3 - 1/6 = 3/6 + 2/6 - 1/6 = 4/6 = 2/3.