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If P(A ∪ B) = P(A) + P(B), then what can be said about the events A and B? |
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Answer» We know– P(A ∪ B) = P(A) + P(B) – P(A ∩ B) ⇒ P(A ∩ B) = 0 [∵ P(A ∪ B) = P(A) + P(B)] ∴ P(A ∩ B) = 0 [∵ P(A ∪ B) = P(A) + P(B)] ∴ The events A and B are mutually exclusive. |
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