Suppose that a manager must choose 3 employees to be laid off from among the 12
ID: 3043640 • Letter: S
Question
Suppose that a manager must choose 3 employees to be laid off from among the 12 employees that she supervises. Also suppose that these 12 employees include 4 employees who are over age 50 and 8 employees who are age 50 or younger.
a) First determine the denominator: How many different choices of 3 employees are available for the manager to distribute 1st, 2nd and 3rd awards?
b.) If the decision about which employees will get the awards is made completely without regard to age (i.e., at random with regard to age), what is the probability that all 3 of the employees selected would be over age 50? (Report the probability as a decimal as well as with combinations.)
Explanation / Answer
Solution:
Given,
Total number of employees = 12
number of employees over age 50 = 4
number of employees of age 50 or younger = 8
( a )
total number of choises available to distribute 1st,2nd,and 3rd awards = 12P3 = 1320
( b )
probability that all 3 of the employees selected would be over age 50 = 4C3 / 12C3 = 4 / 220
= 0.0182
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