Question

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

Answer 1

Finding the probability of drawing a face card:

There are $52$ playing cards in the pack.

Out of $52$ cards, there are $12$ face cards namely King, Queen and Jack in each of the four suits.

So, the number of favorable outcomes is $12$ and the total number of outcomes is $52$.

The formula for probability is

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

$$\begin{gathered} \Rightarrow P(facecard)=\frac{12}{52} \\ \therefore P(facecard)=\frac{3}{13} \end{gathered}$$

Hence, the probability of drawing a face card from a pack of $52$ cards is $\frac{3}{13}$.