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If A and B are two events such that P(A)...

If A and B are two events such that `P(A)gt0 and P(B)!=1,` then `P((overline(A))/(overline(B)))` is equal to

A

`1-P((A)/(B))`

B

`1-P((A)/(overline(B)))`

C

`P((overline(A))/(B))`

D

P(B ′ ) 1−P(A∪B) ​

Text Solution

Verified by Experts

The correct Answer is:
(b)
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Statement-1: if A and B are two events, such that 0 lt P(A),P(B) lt 1, then P((A)/(overline(B)))+P((overline(A))/(overline(B)))=(3)/(2) Statement-2: If A and B are two events, such that 0 lt P(A), P(B) lt 1, then P(A//B)=(P(AcapB))/(P(B)) and P(overline(B))=P(A capoverline(B))+P(overline(A) cap overline(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