Employees of a company fall into four categories: Managers (4%),

Administrators (12%), Technicians (26%) and Labourers (58%).

If 20% of the Managers, 5% of the Administrators, 3% of the Technicians and 0.5% of the Labourers have the opportunity of promotion in the next year:

(i) What is the probability that a randomly chosen employee is a manager and will gain promotion next year?

(ii) What is the probability that a randomly chosen employee will gain promotion next year?

(iii) What is the probability that a randomly chosen employee is an Administrator if the employee has the opportunity of gaining
promotion next year?