Question

A card is drawn from a pack of 52 cards and it is thrown away. Then another card is drawn, the probability that it is a queen.

• A. 1/4
• B. 1/52
• C. 4/13
• D. 1/13

Answer 1

The correct option is D 1/13

$Case1$
$when\text{queen is drawn in the first and then from remaining 51 cards queen is drawn}$
$p=\frac{4}{52}\frac{3}{51}=\frac{12}{2652}$
$Case2$
$whenqueen\text{is not drawn in the first attempt and from remaining 51 card a queen is drawn}$
$\text{p=}\frac{48}{52}\frac{4}{51}=\frac{192}{2652}$
$requiredprobability=\frac{12}{2652}+\frac{192}{2652}=\frac{1}{13}$