1.

For two events `A` and `B`, if `P(A)P((A)/(B))=(1)/(4)` and `P((B)/(A))=(1)/(2)`, then which of the following is not true ?A. A and B are mutually exclusive eventsB. A and B are independent events such that `P(overline(A)//B)=3//4`C. A and B are independent events such that `P(overline(A)//B)=1//2`D. A and B are in independent events such that `P(overline(A)//B)=3//4`

Answer» Correct Answer - B
We have,
`P(A)=P(A//B)=1//4`
This shows that A and B are independent events.
`therefore P(B)=P(B//A)=1//2`
Now, `P(A//B)=(1)/(4) implies P(overline(A)//B)=1-(1)/(4)=(3)/(4)`
Hence, alternatives (b) is correct.


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