mont hall problem the monty hall problem illustrates surprising fact of probability the problem is loosely based on the old game show let' make deal and its hostmonty hall in the monty hall problemyou can pick one of three doors behind one door is prizea new car each of the other two doors opens onto worthless goat say you pick door # before the door you choose is openedthe host opens another door (either # or # )which leads to goat you can choose to either open the door you originally picked or switch to the other unopened door it may seem like it doesn' matter if you switch or notbut your odds do improve if you switch doorsthis program demonstrates the monty hall problem by letting you do repeated experiments to understand why your odds improveconsider version of the monty hall problem with one thousand doors instead of three you pick one doorand then the host opens doorswhich all reveal goats the only two