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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)

1 answer

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

Total number of students = Number with blue eyes + Number with brown eyes + Number with green eyes + Number with amber eyes + Number with hazel eyes + Number with gray eyes

Calculating this:

Total = 20 (blue) + 12 (brown) + 10 (green) + 8 (amber) + 6 (hazel) + 4 (gray)
Total = 20 + 12 + 10 + 8 + 6 + 4 = 70

Now, the probability of selecting a student with blue eyes is the number of students with blue eyes divided by the total number of students:

Probability = Number of students with blue eyes / Total number of students
Probability = 20 / 70

Next, we simplify the fraction:

20 / 70 = 2 / 7 (by dividing both the numerator and the denominator by their greatest common divisor, which is 10).

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

2/7