Two events with nonzero probabilitiesA) 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

Two events with nonzero probabilitiesA)  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.

Spencer Gates · Accepted Answer

Final Answer : B, Explanation :  Two events can not be both mutually exclusive and independent. If two events are mutually exclusive, it means they can not occur simultaneously. If two events are independent, the occurrence of one event does not affect the probability of the other event. Therefore, if two events are mutually exclusive, the occurrence of one event automatically rules out the occurrence of the other event, making them dependent events.

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.

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