Probability Question 233

Question: If A and B are two events such that $ P(A)=0.4 $ , $ P(A+B)=0.7 $ and $ P(AB)=0.2, $ then $ P(B)= $

[MP PET 1992]

Options:

A) 0.1

B) 0.3

C) 0.5

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Since we have $ P(A+B)=P(A)+P(B)-P(AB) $
$ \Rightarrow 0.7=0.4+P(B)-0.2\Rightarrow P(B)=0.5 $ .