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If A and B are mutually exclusive events thenA. P(A) ≤ P\((\bar B)\)B. P(A) ≥ P\((\bar B)\)C. P(A)< P\((\bar B)\)D. none of these |
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Answer» As P(A) and P(B) are mutually exclusive event. ∴ P(A ∪ B) = P(A) + P(B) As P(A ∪ B) ≤ 1 ∴ P(A) + P(B) ≤ 1 ⇒ P(A) ≤ 1 – P(B) ⇒ P(A) ≤ P(B’) Our answer matches with option (a) ∴ Option (a) is the only correct choice |
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