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.
Morning
Afternoon
Evening
Freshman
19
Sophomore
Junior
Senior
2
6
16
17
3
13
15
8
14
9
7
(1 point)
0.571
0.464
0.342
0.158
To find the probability that a student preferred afternoon classes given he or she is a junior, we need to calculate the number of juniors who preferred taking classes in the afternoon and divide it by the total number of juniors.
Total number of juniors = 16 + 13 + 15 = 44
Number of juniors who preferred afternoon classes = 13
Probability = Number of juniors who preferred afternoon classes / Total number of juniors
Probability = 13 / 44
Probability = 0.295 (rounded to the nearest thousandth)
Therefore, the probability that a student preferred afternoon classes given he or she is a junior is 0.295.