Jenny draws a card from a standard pack of 52 cards. What is the probability that she draws a card showing number 3 .

Options

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

Answer

To find the probability that Jenny draws a card showing the number 3 from a standard pack of 52 cards, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Total Number of Cards**:
A standard deck of cards has 52 cards in total.

2. **Identify the Favorable Outcomes**:
We need to find how many cards show the number 3. In a standard deck, there are four suits: Diamonds, Hearts, Spades, and Clubs. Each suit has one card showing the number 3. Therefore, the number of cards showing the number 3 is 4 (one from each suit).

3. **Use the Probability Formula**:
The formula for probability is:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Number of Outcomes}} \]
Here, the number of favorable outcomes (drawing a card showing number 3) is 4, and the total number of outcomes (total cards) is 52.

4. **Substitute the Values into the Formula**:
Plugging the values into the formula gives us:
\[ \text{Probability} = \frac{4}{52} \]

5. **Simplify the Fraction**:
To simplify \(\frac{4}{52}\), we can divide both the numerator and the denominator by 4:
\[ \frac{4 \div 4}{52 \div 4} = \frac{1}{13} \]

6. **Conclusion**:
Therefore, the probability that Jenny draws a card showing the number 3 is \(\frac{1}{13}\).

### Final Answer:
The probability that Jenny draws a card showing the number 3 is \(\frac{1}{13}\).

---