Question

In a survey of $400$ youngsters aged $16-20$ years. It was found that $191$ have their voter ID card. If a youngster is selected at random, then the probability that the youngster does not have a voter ID card is

• A. $\frac{191}{400}$
• B. $\frac{209}{400}$
• C. $\frac{191}{200}$
• D. $\frac{109}{400}$

Answer 1

The correct option is B $\frac{209}{400}$

No. of youngsters $n\left(S\right)=400$
No.of youngsters having voter id $n\left(A\right)=191$
No.of youngsters do not have their voter id $n\left(B\right)=400-191=209$
$P\left(B\right)=\frac{n\left(B\right)}{n\left(S\right)}=\frac{209}{400}$