Question

In his class, Dale conducted a survey to observe the distribution of eye color. The results are summarized as follows: Eye Color Number of Students blue 20 brown 12 green 10 amber 8 hazel 6 gray 4 If a student is randomly chosen from this group, what is the chance of selecting a student with blue eyes? Write your answer in the simplest form of a fraction. (1 point)

Answer 1

To determine the probability of selecting a student with blue eyes, we first need to find the total number of students surveyed. We will then divide the number of students with blue eyes by the total number of students.

According to the data:
- Blue: 20
- Brown: 12
- Green: 10
- Amber: 8
- Hazel: 6
- Gray: 4

Now, let's calculate the total number of students:

\[
20 \, (\text{blue}) + 12 \, (\text{brown}) + 10 \, (\text{green}) + 8 \, (\text{amber}) + 6 \, (\text{hazel}) + 4 \, (\text{gray}) = 70
\]

The total number of students is 70.

Next, we find the probability of selecting a student with blue eyes. The number of students with blue eyes is 20. Thus, the probability \( P \) can be expressed as:

\[
P(\text{blue eyes}) = \frac{\text{Number of students with blue eyes}}{\text{Total number of students}} = \frac{20}{70}
\]

Now we simplify \( \frac{20}{70} \):

\[
\frac{20 \div 10}{70 \div 10} = \frac{2}{7}
\]

Therefore, the probability of selecting a student with blue eyes in the simplest form is:

\[
\frac{2}{7}
\]