You draw a card from a deck. Find the probability (rounded to 4 decimal places):Drawing an even numbered card

Sure, let's break it down step by step.

1. Understand the deck composition: A standard deck of cards has 52 cards, divided into 4 suits (hearts, diamonds, clubs, spades), each with 13 cards (Ace through King).

2. Identify even-numbered cards: In each suit, the even-numbered cards are 2, 4, 6, 8, and 10. So, there are 5 even-numbered cards per suit.

3. Calculate total even-numbered cards: Since there are 4 suits, and each suit has 5 even-numbered cards: $4 \text{ suits} \times 5 \text{ even-numbered cards per suit} = 20 \text{ even-numbered cards}$

4. Calculate the probability: The probability of drawing an even-numbered card is the number of even-numbered cards divided by the total number of cards in the deck: $\text{Probability} = \frac{\text{Number of even-numbered cards}}{\text{Total number of cards}} = \frac{20}{52}$

5. Simplify the fraction: $\frac{20}{52} = \frac{5}{13}$

6. Convert to decimal form: $\frac{5}{13} \approx 0.3846$

7. Round to 4 decimal places: $0.3846$

So, the probability of drawing an even-numbered card from a standard deck is approximately 0.3846.