There are 50 eggs in a box, 20 of them are broken. What is the probability that
eggs are broken?

Answer

To find the probability that an egg is broken, we can follow these steps:

### Step-by-Step Solution:

1. **Identify Total Number of Eggs**:
- The total number of eggs in the box is given as 50.

2. **Identify Number of Broken Eggs**:
- Out of the 50 eggs, 20 are broken.

3. **Determine the Number of Good Eggs**:
- The number of good (unbroken) eggs can be calculated as:
\[ \text{Number of good eggs} = \text{Total eggs} - \text{Broken eggs} = 50 - 20 = 30 \]

4. **Use the Probability Formula**:
- The probability of an event is calculated using the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
- In this case, the favorable outcomes are the broken eggs (20), and the total number of outcomes is the total number of eggs (50).

5. **Calculate the Probability**:
- Substitute the values into the probability formula:
\[ \text{Probability of broken eggs} = \frac{20}{50} \]

6. **Simplify the Fraction**:
- Simplifying \(\frac{20}{50}\) gives:
\[ \frac{20 \div 10}{50 \div 10} = \frac{2}{5} \]

7. **Final Answer**:
- Therefore, the probability that an egg is broken is:
\[ \frac{2}{5} \]