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.

Answer 1

First, we need to find the total number of students who are not honor students.

Total number of students = 40
Number of honor students = 11

Number of students who are not honor students = 40 - 11 = 29

Now, we need to find the number of athletes who are not honor students.

Number of athletes = 10
Number of honor students who are athletes = 3

Number of athletes who are not honor students = 10 - 3 = 7

Therefore, the probability that a randomly chosen student who is not an honor student is an athlete is:

Probability = Number of athletes who are not honor students / Number of students who are not honor students
Probability = 7 / 29
Probability = 0.241

Rounded to the nearest thousandth, the probability is 0.241.