Since we have 80 students in the class do not participate in sports and are not honor student, we have this solution:
160 - 80 = 80 students remaining who are honors and athletes
Since we have 40 honor students and 60 are athletes, we have this solution:
40 + 60 -80 = 20
The probability is shown below:
20 / 160 = 1 / 8.
The answer is 1/8.
