Question: At a midsize company with 300 employees, there are 50 people in management positions. Furthermore, at year-end, 125 employees received bonuses equal to or greater than 20% of the salary. Finally, 40 of the employees in management received bonuses equal to or greater than 20% of their salary.

a) What is the probability an employee selected at random is not in management?

b) What is the probability an employee selected at random is either not in management or did not receive a bonus equal to or greater than 20% of their salary?

c) Of the employees in management, what is the probability an employee selected at random received a bonus equal to or greater than 20% of their salary.