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 senior. Round to the nearest thousandth. (1 point) Responses 0.116 0.116 0.464 0.464 0.184 0.184 0.395 0.395
To find the probability that a student preferred afternoon classes given they are a senior, we first need to determine the total number of seniors and the number of seniors who preferred afternoon classes.
Total number of seniors = 2 (0.464) + 2 (0.184) = 0.928
Number of seniors who preferred afternoon classes = 2 (0.464) = 0.928
Therefore, the probability that a senior preferred afternoon classes is:
0.928 / 0.928 = 1
So, the probability that a student preferred afternoon classes given he or she is a senior is 1.