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Probability

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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?

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