Question

A certain class of 160 students has 40 honor students and 60 athletes. Eighty students in the class do not participate in sports and are not honor students. If a student is selected at random to represent the class, what is the probability that he is both an honor student and an athlete?

Answer 1

@pgpilot326

Answer 2

okay, so it might be best to draw a picture for this one...

Answer 3

here is the sample space. there are a total of 160 students. 80 students are neither honor students nor athletes. so that mean 80 must be either a student athlete, an honor student or both.

Answer 4

the key here is to determine how many honor students are also athletes... we get this by the numbers. the total must be 160 inside. right now we have 80 + 40 + 60 = 180 which is 20 too many. that's how many honor students are also athletes.