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. What is the probability that the student chosen is an athlete given that he is an honor student?

Answer 1

Answer: 9.375% chance for the random student to be both and athlete and an honor student.

Explanation:

There is a 25% chance that they are an honor student and a 37.5% chance that they are an athlete so 160 * 0.375 = 60 then 60 * 0.25 = 15. So there are 15 student who are athletes and honor student so 15/160 is 0.09375 and 0.09375 * 100 equals 9.375% to be both

Answer 2

1/2

Explanation:

I just did it on Odyssey ware, I got it wrong when I put 1/8 and when I put 1/4. So the answer is 1/2.