A group of students were asked of they carry a credit card and what color it is. The responses are listed in the table. Blue Red Yellow
Total
Freshman
107
5
22
Sophomore
8
8
3
19
Junior
12
4
2
18
Senior
11
9
7
27
Total
41
28
17
86
a) If a student is selected at random, find the probability the student has a blue card and the student is a sophomore.
b) If a student is selected at random, find the probability that the student has a red card given that the student is a freshman.
c) If a student is selected at random, find the probability that the student is a freshman given that the student has a blue card.
d) If a student is selected at random, find the probability that the student is a freshman or the student has a blue card.