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.
(
The total number of students who are not honor students is 40 - 11 = 29. Of these, 10 are athletes.
Therefore, the probability that a student chosen at random is an athlete given that the student is not an honor student is 10/29 ≈ 0.345.
Rounded to the nearest thousandth, the probability is 0.345.