Question: can dependent events be mutually exclusive?
Answer: Prove that if event A and event B are mutually exclusive with P(A)≠0 and P(B)≠0, then A and B are always dependent. ... Since A and B are mutually exclusive, we know that P(A and B)=0. Therefore P(A)×P(B)=0. For the product of two numbers to be zero, at least one of the two numbers must be zero.