1.

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

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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