The probability for event A is 0.3, the probability for event B is 0.6, and the probability of events A or B is 0.8.Why are the events not mutually exclusive?

For mutually exclusive events, A and B cannot happen together, so P(A or B) equals P(A) + P(B). Here, P(A) + P(B) = 0.3 + 0.6 = 0.9, which is not equal to P(A or B) = 0.8. The difference shows that the events overlap, so they are not mutually exclusive. Choice D states this inequality.

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