Use the Multiplication Rule for Independent Events
-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 illegal deductions. Unknown to the supervisor, seven of the workers have regularly been giving illegal deductions to applicants. Given that the first worker chosen has not been giving illegal deductions, what is the probability that the second worker chosen has been giving illegal deductions
A) 0.233
B) 0.2
C) 0.194
D) 0.226

Question

Quizplus · Accepted Answer

Since the first worker chosen has not been giving illegal deductions, there are 30 workers left, of which 7 have been giving illegal deductions. The probability that the second worker chosen has been giving illegal deductions is 7/30 = 0.233.