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

Question

Quizplus · Accepted Answer

If two events have nonzero probabilities, they cannot be both mutually exclusive and independent. This is because if they are mutually exclusive, they cannot occur at the same time, which means they are not independent. If they are independent, then the occurrence of one event does not affect the probability of the other event, which means they are not mutually exclusive. Therefore, option B is the best choice.

Two Events with Nonzero Probabilities