Assume that you are in charge of product quality at a manufacturing company that produces circuit boards for thermostats. There is a large box of 100 circuit boards that are to be inspected and you know for a fact that one of them is defective. You randomly set aside one of them for inspection at a later time. You have inspected 98 out of the 99 of the remaining units and all of them have passed quality control and are functional and ready for shipment. There are only two more to inspect, the one that you set aside originally and the one from the group of 99. What is the probability that the remaining unit of the 99 is the one that is defective? How do you know this is true? Suppose that you don't have much time and you can only inspect one of them. Which one should you inspect and why? Explain.