Single Choice

In a survey, it was fond that $$65$$% of the people watched news on TV, $$40$$% read in newspaper, $$25$$% read newspaper and watched TV. What percentage of people neither watched TV nor read newspaper?

A$$0$$%
B$$5$$%
C$$10$$%
D$$20$$%
Correct Answer

Solution

n(Watch new on TV) $$=65\%=n(T)$$

n(Reads newspaper) $$=40\%=n(N)$$

n(Watch news on TV & read newspapers ) $$=25\%=n(T\cap N)$$

$$n(N \cup T)= n(T)+n(N)-n(N\cap T)$$

$$n(N \cup T)= 65+40-25 = 80\%$$

$$n(N\cap T)^{c}=100-80=20\%$$


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In a survey, it was fond that $$65$$% of the people watched news on TV, $$40$$% read in newspaper, $$25$$% read newspaper and watched TV. What percentage of people neither watched TV nor read newspaper?

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