Probability Question 300

Question: In a city 20% persons read English newspaper, 40% read Hindi newspaper and 5% read both newspapers. The percentage of non-reader either paper is

Options:

A) 60%

B) 35%

C) 25%

D) 45%

Show Answer

Answer:

Correct Answer: D

Solution:

$ P(A)=\frac{1}{5}, $

$ P(B)=\frac{2}{5} $ and $ P(A\cap B)=\frac{1}{20} $

Then $ P(\bar{A}\cap \bar{B})=1-P(A\cup B) $

$ =1-[ \frac{1}{5}+\frac{2}{5}-\frac{1}{20} ]=\frac{9}{20} $ i.e., 45%.