The popular Monty Hall Problem is about being on a game show where you’re either going to win a fancy sports car or a goat. It’s a no brainer on which one you would prefer: the car. You have to choose between three doors. Behind two of the doors are goats and the fancy car is the last one. Whichever door you choose, the prize behind it is yours. The sample space is one thing to consider in this problem. There is a winning door and the two remaining doors are x and y and have goats behind them. If the contestant chooses door x or door y, which has the car behind it, the sample space would have nine outcomes: S ={(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,2), (3,3)}. Being the contestant, you would think that it doesn’t
