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
To find the probability that a student preferred afternoon classes given he or she is a junior, we need to find the number of juniors who preferred afternoon classes and divide it by the total number of juniors.
Looking at the table, we see that there are 13 juniors who preferred afternoon classes.
The total number of juniors is 9 + 7 + 13 + 9 = 38.
Therefore, the probability is 13/38.
Rounding to the nearest thousandth, the probability is approximately 0.342.
So the answer is 0.342