There are seven white and one brown eggs in an egg box. Ruchira decides to make a two-egg omeltte. She takes out each egg from the box without looking at its colour. What is the probability that Ruchira gets an omellete made from
two brown eggs

Answer

To solve the problem, we need to determine the probability that Ruchira gets an omelette made from two brown eggs when she takes out two eggs from a box containing seven white eggs and one brown egg.

### Step-by-Step Solution:

1. **Identify the total number of eggs**:
- There are 7 white eggs and 1 brown egg.
- Total number of eggs = 7 (white) + 1 (brown) = 8 eggs.

2. **Determine the number of brown eggs**:
- There is only 1 brown egg in the box.

3. **Determine the requirement for the omelette**:
- Ruchira wants to make an omelette using 2 eggs.
- We need to find the probability of selecting 2 brown eggs.

4. **Calculate the possible combinations of selecting 2 eggs**:
- The total ways to choose 2 eggs from 8 eggs can be calculated using the combination formula:
\[ \text{Total combinations} = \binom{8}{2} = \frac{8!}{2!(8-2)!} = \frac{8 \times 7}{2 \times 1} = 28 \]

5. **Determine the combinations of selecting 2 brown eggs**:
- Since there is only 1 brown egg, it is impossible to select 2 brown eggs. Therefore, the number of ways to choose 2 brown eggs is 0.

6. **Calculate the probability**:
- The probability \( P \) of selecting 2 brown eggs is given by the formula:
\[ P(\text{2 brown eggs}) = \frac{\text{Number of ways to choose 2 brown eggs}}{\text{Total combinations of choosing 2 eggs}} = \frac{0}{28} = 0 \]

### Final Answer:
The probability that Ruchira gets an omelette made from two brown eggs is **0**.