On Let’s Make a Deal game show, one door out of three has a new car, the other two have goats. You pick door #1, and the host (knowing which door has the car) shows you that door #3 has a goat behind it. you are down to two doors, and the host asks, “OK, do you want to switch doors now?” If you switch to door #2, you now have a higher probability of winning the car. Can you explain why?