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.
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The probability of picking a 4 from a deck of 52 cards can be calculated by first determining how many 4s are there in the deck, which is 4 (one 4 in each suit).
Therefore, the probability is:
Number of favorable outcomes: 4 (number of 4s)
Total number of possible outcomes: 52 (total number of cards in the deck)
Probability = Number of favorable outcomes / Total number of possible outcomes
Probability = 4 / 52
Probability = 1 / 13
Therefore, the theoretical probability of Lucy picking a 4 from the deck of cards is 1/13.