Respuesta :

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).

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