Statistics And Probability Question 550

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%.