If A and B are events such that P(A)=(\frac{1}{4}), P(A/B)=(... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If A and B are events such that P(A)= $\frac{1}{4}$ , P(A/B)= $\frac{1}{2}$ and P(B/A)= $\frac{2}{3}$ then P(B) is

A

$\frac{2}{3}$

B

$\frac{1}{6}$

C

$\frac{1}{2}$

D

$\frac{1}{3}$

Answer

$\frac{1}{3}$

Explanation

Solution

The correct answer is (D) : $\frac{1}{3}$ .