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If A and B are two independent events, prove that P(A ∪ B).P(A' ∩ B' ) ≤ P(C),

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If A and B are two independent events, prove that P(A ∪ B).P(A' ∩ B' ) ≤ P(C), where C is an event defined that exactly one of A and B occurs.

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Here, P(A ∪ B).P(A' ∩ B')

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