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Special Addition Rule for Probability
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A student claims that if P(A ∪ B) = P(A) + P(B), then events A and B must be mutually exclusive. Under which condition is this claim NOT valid?

A

When P(A ∩ B) > 0

B

When P(A) = 0 or P(B) = 0

C

When P(A ∩ B) = 0 but A and B are independent

D

When A and B are complementary events

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