Question

A card is drawn from a deck of $52$ cards. The event $E$ is that card is not an ace of hearts. The number of outcomes favourable to $E$ is
$\left(a\right)4$
$\left(b\right)13$
$\left(c\right)48$
$\left(d\right)51$

Answer 1

In a deck of $52$ cards, there are $13$ cards of heart and $1$ is ace of heart.

i.e., Number of an ace of heart cards $n\left(\overline{E}\right)=1$.

Total number of cards $n\left(S\right)=52$

$\Rightarrow$ The number of nonace of heart cards

$n\left(\overline{E}\right)=52-1=51$.

Hence, Option D is correct.