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Statement-1 : If A and B are two events such that P(A)=1, then A and B are independent. Statement-2: A and B are two independent events iff P(A∩B)=P(A)P(B) A. Statement-1 is True, Statement-2 is True, Statement-2 is a correct explanation for Statement-1. B. Statement-1 is True, Statement-2 is True, Statement-2 is not a correct explanation for Statement-1. C. Statement-1 is True, Statement-2 is False. D. Statement-1 is False, Statement-2 is True. Select the correct answer from above options

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Correct Answer - A Clearly, statement -2 is true. (See theory) . If P , P(A)=1 then P( ˉ A P=0 Now, ˉ A ∩B⊂ ˉ A ⇒P( ˉ ∩ b)≤P( ˉ A ) ⇒P( ˉ A ∩b)≤0 ⇒P( ˉ A ∩B)=0 ⇒P( ˉ ∩ B)=P( ˉ A )P(B) ⇒ ˉ A andB are independent events. ⇒AandB are indepdent event.

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