If events A and B have nonzero probabilities,then they can be both independent and mutually exclusive.

Question

Quizplus · Accepted Answer

If events A and B are mutually exclusive, it means that they cannot occur at the same time. However, if they are independent, it means that the occurrence of one event does not affect the probability of the other event occurring. Therefore, if A and B are mutually exclusive, the occurrence of one event would affect the probability of the other event occurring, making them dependent. Hence, events A and B cannot be both independent and mutually exclusive.

If Events a and B Have Nonzero Probabilities,then They Can