Question

Question

Lucy 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 her picking a 4 from the deck of cards? The answer should be a fraction. Remember to simplify.(1 point)

Answer 1

In a standard deck of 52 cards, there are 4 cards that are numbered 4 (one from each suit: hearts, spades, diamonds, and clubs).

To find the theoretical probability of picking a 4, you can use the formula:

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

Here, the number of favorable outcomes (picking a 4) is 4, and the total number of possible outcomes (total cards) is 52.

So the probability is:

\[ \text{Probability} = \frac{4}{52} \]

Now simplify the fraction:

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

Thus, the theoretical probability of Lucy picking a 4 from the deck is

\[ \frac{1}{13} \]