Question

A class of 160 students contain 40 honor students, 60 athletes, and 80 who are neither athletes nor honor students. From the entire group a student is chosen at random. What is the probability that the student is an honor student given that he is an athlete

1/2
1/3
1/8

Answer 1

⅛

Explanation:

let x represent students who are both honor students and athletes

60+80+40-x=160

180-x=160

x=189-160=20

The probability=20/160=⅛

Answer 2

The correct answer is 1/3

Explanation: