Question

A card is drawn from a pack of 52 cards. The card is drawn at random; find the probability that it is neither club nor queen?

Answer 1

$\Rightarrow$ Total number of cards from pack $=52$

$\therefore$ $n\left(S\right)=52$

$\Rightarrow$ Total number of club and queen cards $=13+3=16$

$\Rightarrow$ Let $E$ be the favorable outcomes of getting neither club nor queen.

$\therefore$ $n\left(E\right)=52-16=36$

$\therefore$ $n\left(E\right)=36$

$\Rightarrow$ $P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}=\frac{36}{52}=\frac{9}{13}$