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Special Addition Rule for Probability

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The special addition rule, P(A ∪ B) = P(A) + P(B), is valid only when events A and B are mutually exclusive. Under which of the following conditions would this rule not apply?

A

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

B

When A and B are complementary events

C

When P(A ∩ B) > 0

D

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

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