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Theoretical Probability Practice Complete this assessment to review what you've learned. It will not count toward your grade. 1 of 51 of 5 Items 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) Remaining Attempts : 3 Skip to navigation

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To calculate the theoretical probability of Lucy picking a 4 from a standard deck of 52 cards, we need to determine the number of favorable outcomes and the total number of possible outcomes.

  1. Total number of cards in the deck: 52
  2. Number of favorable outcomes (number of 4s in the deck): There are 4 cards that are 4s (one from each suit: hearts, spades, diamonds, and clubs).

The probability \( P \) of picking a 4 can be calculated using the formula:

\[ P(\text{picking a 4}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{4}{52} \]

Now, we need to simplify the fraction:

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

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

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