To answer this question, we need to remember that:
1. A typical deck of cards has 52 cards, and they are of the following kinds:
• 13 ---> Spades
,
• 13 ---> Hearts
,
• 13 ---> Clubs
,
• 13 ---> Diamonds
2. Therefore, we have, in total:
![13*4=52\text{ cards}](https://img.qammunity.org/2023/formulas/mathematics/college/w5a20boqg34f1sm0cy8fqgm6zn80rsvaty.png)
3. Since we need the probability of choosing a heart card from a deck of cards, then we have that this probability is:
![\begin{gathered} P(Heart)=(13)/(52)=(13)/(13*4)=(13)/(13)*(1)/(4)=(1)/(4) \\ \\ P(Heart)=(1)/(4) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/hhk50re6re63wpcit73qoxyyna00hxynwr.png)
That is, we have 13 cases from the possible 52.
Therefore, in summary, the probability of choosing a heart card from a deck of cards is 1/4 (third option).