You draw a card from a deck. Find the probability: (round to 4 decimal places)Drawing a face card (Jack, Queen, King)

Sure, let's solve this step by step.

1. Identify the total number of cards in a deck: A standard deck has 52 cards.

2. Identify the number of face cards: There are 3 face cards (Jack, Queen, King) in each suit. Since there are 4 suits (hearts, diamonds, clubs, spades), the total number of face cards is: $3 \text{ face cards/suit} \times 4 \text{ suits} = 12 \text{ face cards}$

3. Calculate the probability: The probability $P$ of drawing a face card is the number of face cards divided by the total number of cards in the deck. $P(\text{face card}) = \frac{\text{Number of face cards}}{\text{Total number of cards}} = \frac{12}{52}$

4. Simplify the fraction: $\frac{12}{52} = \frac{3}{13}$

5. Convert the fraction to a decimal: $\frac{3}{13} \approx 0.2308$

6. Round to 4 decimal places: The probability of drawing a face card is approximately $0.2308$.

So, the probability of drawing a face card is $0.2308$.