Jenny draws a card from a standard pack of 52 cards. What is the probability that she draws an Ace or a King .

Options

A. `(1)/(4)`
B. `(2)/(13)`
C. `(1)/(2)`
D. `(1)/(3)`

Answer

To find the probability that Jenny draws an Ace or a King from a standard pack of 52 cards, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Total Number of Cards**:
- A standard deck of cards contains a total of 52 cards.

2. **Count the Number of Aces**:
- There are 4 Aces in a standard deck (one for each suit: hearts, diamonds, clubs, and spades).

3. **Count the Number of Kings**:
- Similarly, there are also 4 Kings in a standard deck (one for each suit).

4. **Calculate the Total Number of Favorable Outcomes**:
- The favorable outcomes are the number of Aces plus the number of Kings.
- Total favorable outcomes = Number of Aces + Number of Kings = 4 + 4 = 8.

5. **Calculate the Probability**:
- Probability is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
- Here, the number of favorable outcomes is 8 (Aces and Kings), and the total number of outcomes is 52 (total cards).
- Therefore, the probability is:
\[ \text{Probability} = \frac{8}{52} \]

6. **Simplify the Fraction**:
- To simplify \(\frac{8}{52}\), divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4.
- \(\frac{8 \div 4}{52 \div 4} = \frac{2}{13}\).

7. **Final Answer**:
- The probability that Jenny draws an Ace or a King is \(\frac{2}{13}\).