If the probability that A tells the truth is 3/5 and the probability that B tells the truth is 4/7, what is the likelihood that both A and B give the same answer?

Explanation

For A and B to agree on the same statement, either both must tell the truth or both must lie. The probability of both telling the truth is (3/5) × (4/7) = 12/35. The probability of both lying is (2/5) × (3/7) = 6/35. Adding these gives the total probability of agreement: 12/35 + 6/35 = 18/35.