Question

A card is drawn from a pack of $52$ playing cards. What is the probability that it is an ace?

Answer 1

Finding the probability of drawing an ace:

There are $52$ playing cards in a pack.

Out of $52$ cards, there are $4$ aces in it.

So, the number of favorable outcomes is $4$ and the total number of outcomes is $52$.

The formula for probability is

$Probability=\frac{Numberoffavorableoutcomes}{Totalnumberofoutcomes}$

$$\begin{gathered} \Rightarrow P\left(ace\right)=\frac{4}{52} \\ \therefore P\left(ace\right)=\frac{1}{13} \end{gathered}$$

Hence, the probability of drawing an ace from a pack of $52$ cards is $\frac{1}{13}$.