Problem 7E
Nursing Majors The table shows the number of male and female students enrolled in nursing at the University of Oklahoma Health Sciences Center for a recent semester. (Source: University of Oklahoma Health Sciences Center Office of Institutional Research)

Nursing majors 
Nonnursing majors 
Total 
Males 
94 
1104 
1198 
Females 
725 
1682 
2407 
Total 
819 
2786 
3605 
(a) Find the probability that a randomly selected student is male, given that the student is a nursing major.
(b) Find the probability that a randomly selected student is a nursing major, given that the student is male.
Solution:
Step 1 of 2:
The data about the number of male and female students enrolled in nursing at the University of Oklahoma is given.
Nursing majors 
Nonnursing major 
Total 

Males 
94 
1104 
1198 
Females 
725 
1682 
2407 
Total 
819 
2786 
3605 
 We have to find the probability that a randomly selected student is male, given that the student is a nursing major.
 We have to find the probability that a randomly selected student is a nursing major, given that the student is a male.