A girl calculates that the probability of her winning the ifrst prize in a lottery is 0.08. If 6000 tickets are sold, then how many tickets has she bought?

Options

A. 40
B. 240
C. 480
D. 750

Explanation

To solve the problem, we need to find out how many tickets the girl has bought based on the given probability of winning the first prize in a lottery.

### Step-by-Step Solution:

1. **Understand the Probability Formula**:
The probability of winning can be expressed as:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case, the number of favorable outcomes is the number of tickets the girl bought (let's denote this as \( x \)), and the total number of outcomes is the total number of tickets sold (6000).

2. **Set Up the Equation**:
Given that the probability of winning is 0.08, we can set up the equation as follows:
\[ 0.08 = \frac{x}{6000} \]

3. **Solve for \( x \)**:
To find \( x \), we can rearrange the equation:
\[ x = 0.08 \times 6000 \]

4. **Calculate \( x \)**:
Now, we perform the multiplication:
\[ x = 0.08 \times 6000 = 480 \]

5. **Conclusion**:
The girl has bought 480 tickets.

### Final Answer:
The girl has bought **480 tickets**.

---