In his “Let’s Make A Deal” game show, host Wayne Brady asks contestants to choose one of three closed doors on the stage. Behind one of the doors is a valuable prize: a car, a Hawaii vacation, etc. Behind the other two doors are prizes of little or no value. Assume that you are the contestant and that you have chosen your door. Wayne now opens one of the doors that you didn’t choose, showing you that it does not hide the valuable prize. He then asks if you’d like to switch your choice to the other unopened door or stay with your original choice. What should you do? Stay or switch? Use proper probabilities to explain.