Let A and B be two independent events. Statement-1: If P(A)=0.3 and `P(A cup overline(B))=0.8`, then `P(B)=(2)/(7)` Statement-2: For any event `E, P(overline(E ))=1-P(E )`.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.

Let A and B be two independent events. Statement-1: If P(A)=0.3 and `P

1.	Let A and B be two independent events. Statement-1: If P(A)=0.3 and `P(A cup overline(B))=0.8`, then `P(B)=(2)/(7)` Statement-2: For any event `E, P(overline(E ))=1-P(E )`.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.
Answer» Correct Answer - A Clearly, statement-2 is true. If A and B are independent events such that `P(A cup overline(B))=0.8` `implies 1-P(overline(A))P(overline(B))=0.8` `implies 1-(1-P(A))P(B)=0.8` `implies 1-0.7P(B)=0.8 implies P(B)=(2)/(7)` So, statement-1 is true and statement-2 is a correct explanation for statement-1.

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