A county welfare agency employs 31 welfare workers who interview prospective food stamp recipients.Periodically, the supervisor selects, at random, the forms completed by two workers to audit for illegaldeductions. Unknown to the supervisor, nine of the workers have regularly been giving illegal deductions toapplicants. What is the probability both workers chosen have been giving illegal deductions? Round to thenearest thousandth.

Question

Quizplus · Accepted Answer

The probability that both workers chosen have been giving illegal deductions is calculated by first selecting 2 out of the 9 workers who give illegal deductions out of the total 31 workers. This can be calculated using combinations: (9 choose 2) / (31 choose 2) = 36 / 465 ≈ 0.077.

A County Welfare Agency Employs 31 Welfare Workers Who Interview