For two events A and B ait is given that $P(A)= P(A/B)=\frac{1}{4}$ and $ P(B/A)=\frac{1}{2}$. Then,
Answer & explanation
Correct answer: option 2
We have,
$P(A)=P(A/B)=1/4$
This shows that A and B are independent events.
∴ $P(B) = P(B/A)= 1/2$
Now, $ P(A/B)=\frac{1}{4}⇒ P(\overline{A}/B)=1-\frac{1}{4}=\frac{3}{4}$