Question

If A and B are events such that P(A) = 0.4, P(B) = 0.8 and P(B/A) = 0.6, then P(A/B) =?

A. 0.2

B. 0.3

C. 0.4

D. 0.5

Answer 1

Correct answer is B.

P(A) = 0.4, P(B) = 0.8 and

P(B/A) = 0.6,

P(B/A) = \(\frac{P(A\cap B)}{P(A)} = 0.6\)

P(A ∩ B) = 0.24

\(\Rightarrow\) P(A/B) = \(\frac{P(A\cap B)}{P(B)} = 0.3\)