Use the Multiplication Rule for Independent Events
-A county welfare agency employs 26 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, six of the workers have regularly been giving illegal deductions to applicants. What is the probability both workers chosen have been giving illegal deductions
A) 0.046
B) 0.053
C) 0.055
D) 0.044

Question

Quizplus · Accepted Answer

The probability that the first worker chosen has been giving illegal deductions is 6/26. If the first worker chosen is one of the six, then the probability that the second worker chosen is also one of the six is 5/25. Therefore, the probability both workers chosen have been giving illegal deductions is (6/26) * (5/25) = 0.046.