Final answer:
Events A and B are mutually exclusive. The probability of B is 0 because if A and B are mutually exclusive, then P(A AND B) = 0.
Step-by-step explanation:
Events A and B are mutually exclusive if the probability that they both happen at the same time is zero. So, if P(A) = 0.65, the probability of B is zero because if A and B are mutually exclusive, then P(A AND B) = 0. Therefore, the probability of B is 0.