Question

Of 6 employees, 3 have been with the company five or more years. If 4 employees are chosen randomly from the group of 6, what is the probability that exactly 2 will have five or more years seniority?

Answer 1

Population:

Five or more years seniority = 3

Less than five years seniority = 3

Total employees = 6

Sample:

Five or more years seniority = 2

Less than five years seniority = 2

Total employees = 4

4 Employees can be selected from 6 employees in:

2 Five or more years seniority can be selected from 3 Five or more years seniority in:

2 Less than years seniority can be selected from 3 Less than years seniority in:

So,

Probability that exactly 2 will have five or more years seniority = 3 X 3 /15

                                                                                          = 0.6

So,

Answer is:

0.6