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. `(4)/(13)`
B. `(1)/(13)`
C. `(9)/(13)`
D. `(2)/(13)`

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 has 52 cards.

2. **Identify the Number of Favorable Outcomes**:
In a standard deck, there are 4 Aces (one from each suit: hearts, diamonds, clubs, and spades) and 4 Kings (one from each suit as well).
- Total Aces = 4
- Total Kings = 4
- Therefore, Total Favorable Outcomes (Aces + Kings) = 4 Aces + 4 Kings = 8.

3. **Calculate the Probability**:
Probability is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
Substituting the values we have:
\[ \text{Probability} = \frac{8}{52} \]

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

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