Two events with nonzero probabilities
A) can be both mutually exclusive and independent.
B) can not be both mutually exclusive and independent.
C) are always mutually exclusive.
D) are always independent.

Question

Quizplus · Accepted Answer

If two events are mutually exclusive, it means that they can not happen at the same time. However, if two events are independent, it means that the occurrence of one event does not affect the probability of the occurrence of the other event. These two concepts are contradictory, and thus, two events can not be both mutually exclusive and independent.

Two Events with Nonzero Probabilities