Probability Question 154

Question: If $ P(A)=\frac{1}{2},P(B)=\frac{1}{3} $ and $ P(A\cap B)=\frac{1}{4}, $ then $ P( \frac{B}{A} )= $

Options:

A) 1

B) 0

C) $ \frac{1}{2} $

D) $ \frac{1}{3} $

Show Answer

Answer:

Correct Answer: C

Solution:

$ P(B/A)=\frac{P(A\cap B)}{P(A)}=\frac{1/4}{1/2}=\frac{1}{2}. $