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, P(A or B) equals P(A) + P(B), because the events have no outcomes in common. Here, P(A) + P(B) = 0.3 + 0.6 = 0.9, which is not equal to P(A or B) = 0.8. Therefore, the events are not mutually exclusive, matching “the sum of P(A) and P(B) is not equal to P(A or B).”

AI-written and checked against the verified answer.