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When a card is picked from a deck, the probability of getting a face card is ___

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To find the probability of drawing a face card from a standard deck of cards, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Total Number of Cards in a Deck**: A standard deck of cards contains 52 cards. **Hint**: Remember that a standard deck has 4 suits: Hearts, Diamonds, Clubs, and Spades, each containing 13 cards. 2. **Identify the Number of Face Cards**: Each suit has 3 face cards: Jack, Queen, and King. Since there are 4 suits, we can calculate the total number of face cards. **Hint**: Count the face cards in one suit and then multiply by the number of suits. 3. **Calculate the Total Number of Face Cards**: \[ \text{Total Face Cards} = 3 \text{ (face cards per suit)} \times 4 \text{ (suits)} = 12 \] **Hint**: Make sure to list the face cards: Jack, Queen, King for each suit. 4. **Use the Probability Formula**: The probability \( P \) of an event is given by the formula: \[ P(\text{Face Card}) = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} \] Here, the number of favorable outcomes is the number of face cards (12), and the total outcomes are the total number of cards (52). **Hint**: Substitute the values into the formula carefully. 5. **Substitute the Values**: \[ P(\text{Face Card}) = \frac{12}{52} \] **Hint**: Simplify the fraction by finding the greatest common divisor (GCD). 6. **Simplify the Fraction**: \[ \frac{12}{52} = \frac{3}{13} \] **Hint**: Divide both the numerator and the denominator by 4 to simplify. ### Final Answer: The probability of getting a face card when a card is picked from a deck is \( \frac{3}{13} \).
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