Question

A class of 160 students contains 40 honor students, 60 athletes, and 80 who are neither athletes nor honor students.

From the entire group a student is chosen at random.
The fraction equation that proves the events "honor student" and "athlete" are not independent is ____.

Answers:
1/8 = 3/32
1/8 = 1/4
1/8 = 3/8
1/8 = 1/2

Answer 1

the answer is A

Explanation:

Answer 2

We are given with the total number of students which is 160 on which 40 students are honors and 60 are athletes'
Solving for the probability that the chosen student is an athlete given that he is also an honor is P = 40 / 160.
P= 1/4
Solving for the probability that the chosen student is an honor student given that he is also an athlete is P = 60 / 160
P = 3/8

Then solving for the unknown, we have:
P=(1/4) x(3/8)
P=3/32

The answer is the letter "A".