Monty Hall Problem In a game show a prize is placed behind one of three closed doors, labeled A, B, and C. You then choose one of the doors. After you have made your choice, Monty opens one of the doors, and shows you that there is no prize behind it Monty wl NEVER open the door you pick, and he will NEVER open a door that has a prize behind it. He gives you the choice of staying with your original choice or chang- ing. Write a program to simulate one round of the Monty Hall Problem, and then run it at least 100 times to determine the proba- bility of winning if you change your choice and if you stay