To find the probability of selecting a student with blue eyes, we first need to determine the total number of students surveyed. We can do this by summing the number of students for each eye color.
Here are the numbers:
- Blue: 20
- Brown: 12
- Green: 10
- Amber: 8
- Hazel: 6
- Gray: 4
Now, let's calculate the total:
\[ \text{Total} = 20 + 12 + 10 + 8 + 6 + 4 = 70 \]
Now, the probability \( P \) of selecting a student with blue eyes is given by the ratio of the number of students with blue eyes to the total number of students:
\[ P(\text{blue eyes}) = \frac{\text{Number of students with blue eyes}}{\text{Total number of students}} = \frac{20}{70} \]
To express this probability in the simplest form, we can simplify the fraction:
\[ \frac{20}{70} = \frac{2}{7} \]
Thus, the probability of selecting a student with blue eyes is:
\[ \frac{2}{7} \]