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 1: Understand the Probability Formula
The probability (P) of an event is given by the formula:
\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total outcomes}} \]
In this case, the favorable outcome is the number of bad eggs, and the total outcomes are the total number of eggs in the lot.

### Step 2: Identify Given Values
From the question, we know:
- Probability of getting a bad egg (P) = 0.035
- Total number of eggs in the lot = 400

### Step 3: Set Up the Equation
Let the number of bad eggs be represented as \( x \). According to the probability formula, we can set up the equation:
\[ 0.035 = \frac{x}{400} \]

### Step 4: Cross Multiply to Solve for \( x \)
To find \( x \), we can cross-multiply:
\[ x = 0.035 \times 400 \]

### Step 5: Perform the Calculation
Now, we calculate \( 0.035 \times 400 \):
\[ 0.035 \times 400 = 14 \]

### Step 6: Conclusion
Thus, the number of bad eggs in the lot is:
\[ \text{Number of bad eggs} = 14 \]