Final answer:
The probability that the statement is true when both A and B agree is P(A) * P(B).
Step-by-step explanation:
When two independent witnesses A and B agree on a statement, we want to find the probability that the statement is true.
We can use the Product Rule to determine this probability. For independent events A and B, the probability of both events occurring is given by P(AB) = P(A) * P(B).
So, the probability that the statement is true when both A and B agree is P(A) * P(B), where P(A) represents the probability that A speaks the truth and P(B) represents the probability that B speaks the truth.