Jaque has a deck of 52 cards with 4 suits (hearts, spades, diamonds, and clubs), and each suit has cards numbered 1–13. What is the theoretical probability of him picking a heart from the deck of cards? The answer should be a fraction. Remember to simplify.(

Answer 1

In a standard deck of 52 cards, there are 4 suits: hearts, spades, diamonds, and clubs. Each suit has 13 cards.

To find the probability of picking a heart, we can use the formula for probability:

\[ \text{Probability of an event} = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} \]

In this case:

• The number of favorable outcomes (number of hearts) is 13.
• The total number of possible outcomes (total number of cards) is 52.

So, the probability of picking a heart is:

\[ \text{Probability} = \frac{13}{52} \]

Now, we can simplify the fraction:

\[ \frac{13}{52} = \frac{1}{4} \]

Thus, the theoretical probability of Jaque picking a heart from the deck is:

\[ \boxed{\frac{1}{4}} \]