Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred afternoon classes given he or she is a junior. Round to the nearest thousandth. Freshman Sophomore Junior Senior Morning 19 2 6 16 Afternoon 17 3 13 15 Evening 8 14 9 7 (1 point) Responses 0.571 0.571 0.464 0.464 0.342 0.342 0.158

Question

Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred afternoon classes given he or she is a junior. Round to the nearest thousandth. Freshman Sophomore Junior Senior Morning 19 2 6 16 Afternoon 17 3 13 15 Evening 8 14 9 7 (1 point) Responses 0.571 0.571 0.464 0.464 0.342 0.342 0.158

Answer 1

First, we need to find the total number of junior students:

6 + 13 + 9 = 28

Next, we need to find the number of junior students who preferred afternoon classes:
13

Finally, to find the probability, we divide the number of junior students who preferred afternoon classes by the total number of junior students:
13/28 = 0.464

So, the probability that a student preferred afternoon classes given he or she is a junior is 0.464.