Probability Question 239

Question: If A and B are two events of a random experiment, $ P(A)=0.25 $ , $ P(B)=0.5 $ and $ P(A\cap B)=0.15, $ then $ P(A\cap \bar{B})= $

[MP PET 1987]

Options:

A) 0.1

B) 0.35

C) 0.15

D) 0.6

Show Answer

Answer:

Correct Answer: A

Solution:

Since $ P(A\cap \bar{B})+P(A\cap B)=P(A) $
$ \Rightarrow P(A\cap \overline{B})=P(A)-P(A\cap B)=0.25-0.15=0.1 $