The probability of getting a bad egg in a lot of 400 is 0.035. The number of bad eggs in the lot is

Options

A. 7
B. 14
C. 21
D. 28

Explanation

To find the number of bad eggs in a lot of 400 given the probability of getting a bad egg is 0.035, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Probability Formula**:
The probability of an event is given by the formula:
\[ P(A) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case, we are interested in the probability of getting a bad egg.

2. **Identify the Given Values**:
- Total number of eggs (outcomes) = 400
- Probability of getting a bad egg (P(BE)) = 0.035

3. **Set Up the Equation**:
Let the number of bad eggs be represented as \( x \). According to the probability formula, we can write:
\[ P(BE) = \frac{x}{400} \]
Substituting the given probability:
\[ 0.035 = \frac{x}{400} \]

4. **Solve for \( x \)**:
To find \( x \), we can rearrange the equation:
\[ x = 0.035 \times 400 \]

5. **Calculate \( x \)**:
Now, perform the multiplication:
\[ x = 0.035 \times 400 = 14 \]

6. **Conclusion**:
Therefore, the number of bad eggs in the lot is **14**.