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In his class, Dale conducted a survey to observe the distribution of eye color. The results are summarized as follows:

This table displays the results from the survey conducted to observe the number of students with different eye colors.
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)

1 answer

To find the probability of selecting a student with blue eyes, you need to divide the number of students with blue eyes by the total number of students surveyed.

From the table:

  • Number of students with blue eyes = 20
  • Number of students with brown eyes = 12
  • Number of students with green eyes = 10
  • Number of students with amber eyes = 8
  • Number of students with hazel eyes = 6
  • Number of students with gray eyes = 4

First, calculate the total number of students:

\[ \text{Total students} = 20 + 12 + 10 + 8 + 6 + 4 = 70 \]

Next, the probability \( P \) of selecting a student with blue eyes is:

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

Now simplify the fraction:

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

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

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