In a large company it is known that 40% of the employees are college graduates and that 55% of the employees are women. Furthermore, 70% of the college graduates are women. If an employee is selected at random:

a) what is the probability that the employee is both a college graduate and a woman?

b) If a woman is selected, what is the probability that she is a college graduate?

c) what is the probability of selecting either a college graduate or a woman?