At a large factory, the employees were surveyed and classified according to their level of education and whether they smoked. The data are shown in the table.

Educational Level
Smoking Not high High school College
Habit School graduate graduate graduate
Smoke 6 14 19
Do not smoke 18 7 25

If an employee is selected at random, find these probabilities:

a. The employee smokes, given that he or she graduated from college.

b. Given that the employee did not graduate from high school, he or she is a smoker.

c. The employee graduated from college, given that he or she smokes.