ABSTRACT

The Monty Hall Problem was inspired by the game show Let’s Make a Deal. It is your lucky day, and you are called on stage (probably wearing a silly costume, after all this is television) to play a game. In this game, there are three closed doors. A goat is behind two of the doors (not a great prize) and a new car is behind one door. You pick a door. At this point all doors are equally likely to be hiding the car. To make the game even more exciting, the game show host (who knows which door is hiding the car) opens one of the doors that you did not pick. You hear “Bahhhh,” which is supposed to be the sound that goats make, and see (and smell) a goat. Now you have another choice. You may either stay with the door you originally picked or change to the other door that is still closed. Do you stay with your original choice or switch doors?