A class of 40 students has 11 honor students and 10 athletes. Three of the honor students are also athletes. One student is chosen at random. Find the probability that this student is an athlete if it is known that the student is not an honor student. Round to the nearest thousandth. (1 point) Responses 0.241 0.241 0.345 0.345 0.252 0.252 0.034

Question

A class of 40 students has 11 honor students and 10 athletes. Three of the honor students are also athletes. One student is chosen at random. Find the probability that this student is an athlete if it is known that the student is not an honor student. Round to the nearest thousandth. (1 point) Responses 0.241 0.241 0.345 0.345 0.252 0.252 0.034

Answer 1

First, let's find the number of students who are not honor students. There are 40 students in total and 11 honor students, so there are 40 - 11 = 29 students who are not honor students.

Of these 29 students who are not honor students, 10 are athletes. Therefore, the probability that a randomly chosen student is an athlete given that they are not an honor student is 10/29, which is approximately 0.345.

So, the correct answer is 0.345.