Final answer:
The statement is false because mutually exclusive events cannot happen at the same time, meaning their joint probability is zero, while independent events can co-occur and their joint probability is the product of their individual probabilities.
Step-by-step explanation:
The question 'Two events that are mutually exclusive can also be independent.' is false. When two events are mutually exclusive, they cannot occur simultaneously; in other words, the probability of both events happening at the same time (P(A AND B)) is 0. On the other hand, two events are independent if the occurrence of one event does not affect the probability of the occurrence of the other event. If events A and B are independent, then P(A AND B) = P(A)P(B). Clearly, if P(A AND B) = 0 (which is the case for mutually exclusive events), then at least one of P(A) or P(B) must be 0 for the equation to hold true, which would mean one of the events never occurs, making the concept of independence between the two events meaningless.