Question

A card is drawn from a pack of $52$ playing cards. Find the probability that the card drawn is a heart card.

Answer 1

Step 1 Finding the favorable outcomes:

There are $52$ cards in a pack, each pack contains $4$ suits of $13$ cards each.

The suits are labeled as spades, clubs, diamonds and hearts of $13$ cards each.

So, there will be $13$ cards of hearts in a pack.

The favorable outcomes is $13$ and total outcomes is $52$.

Step 2 Finding the probability that the card drawn is a heart:

The formula for the probability is expressed as,

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

Substitute favorable number outcomes as $13$ and total number outcomes as $52$.

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

Hence, the probability of drawing a card that is a heart from a pack of $52$ cards is $\frac{1}{4}$.