Probability Question 159

Question: If A and B are two events such that $ P(A)=\frac{3}{8}, $ $ P(B)=\frac{5}{8} $ and $ P(A\cup B)=\frac{3}{4}, $ then $ P( \frac{A}{B} )= $

Options:

A) $ \frac{2}{5} $

B) $ \frac{2}{3} $

C) $ \frac{3}{5} $

D) None of these

Show Answer

Answer:

Correct Answer: A

Solution:

$ P(A/B)=\frac{P(A\cap B)}{P(B)}=\frac{(3/8)+(5/8)-(3/4)}{(5/8)}=\frac{2}{5} $ .