We all hate to keep track of small change. By using random numbers, it is possible to eliminate the need for change and give the store and the customer a fair deal. This problem indicates how it could...

We all hate to keep track of small change. By using random numbers, it is possible to eliminate the need for change and give the store and the customer a fair deal. This problem indicates how it could be done.

a. Suppose that you buy something for $0.20. How could you use random numbers (built into the cash register system) to decide whether you should pay $1.00 or nothing?

b. If you bought something for $9.60, how would you use random numbers to eliminate the need for change?

c. In the long run, why is this method fair to both the store and the customers? Would you personally (as a customer) be willing to abide by such a system?