A county welfare agency employs 34 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, six of the workers have regularly been giving illegal deductions toapplicants. Given that the first worker chosen has not been giving illegal deductions, what is the probabilitythat the second worker chosen has been giving illegal deductions? Round to the nearest thousandth.

Question

Quizplus · Accepted Answer

There are 34 workers in total, and 6 of them give illegal deductions. If the first worker chosen is not giving illegal deductions, there are 33 workers left, with 6 still giving illegal deductions. The probability that the second worker chosen gives illegal deductions is 6/33, which is approximately 0.182.

A County Welfare Agency Employs 34 Welfare Workers Who Interview