A manager has just received the expense checks for six of her employees.She randomly distributes the checks to the six employees.What is the probability that exactly five of them will receive the correct checks (checks with the correct names)?
A)1
B)½
C)1/6
D)0
E)1/3

Question

Quizplus · Accepted Answer

If exactly 5 employees get the correct checks, then the remaining employee must also receive the correct check. Since the manager randomly distributes the checks, the probability of any one employee receiving the correct check is 1/6. Therefore, the probability of all six employees receiving the correct check is (1/6)^6, which is a very small probability. Since the remaining employee must also receive the correct check in order for exactly 5 employees to get the correct check, the probability is 0. Therefore, the best choice is D.

A Manager Has Just Received the Expense Checks for Six