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Joint Probability and Mutually Exclusive Events

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If the joint probability of a student choosing the ‘Longest Answer’ on an exam and also scoring between 80 and 100 on it is nonzero, can these two events be mutually exclusive?

A

They are mutually exclusive only if their probabilities sum to 1.

B

No, they are not mutually exclusive.

C

Yes, because mutually exclusive events cannot occur together.

D

Yes, they are mutually exclusive.

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