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:
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$ 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%.