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:
[tex]13*4=52\text{ cards}[/tex]3. Since we need the probability of choosing a heart card from a deck of cards, then we have that this probability is:
[tex]\begin{gathered} P(Heart)=\frac{13}{52}=\frac{13}{13*4}=\frac{13}{13}*\frac{1}{4}=\frac{1}{4} \\ \\ P(Heart)=\frac{1}{4} \end{gathered}[/tex]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).