Sent the Monty Hall one verbatim to OpenOrca for the lulz and man these are some olympic gold winning mental gymnastics: > You initially choose door number one

Sent the Monty Hall one verbatim to OpenOrca for the lulz and man these are some olympic gold winning mental gymnastics: > You initially choose door number one, because you want the car and can see it behind that door. > Monty Hall opens door number two (which has a goat) and shows that there are no more goats left. Since you already saw what was behind door number one, this doesn't change anything about your initial choice of doors. > The fact that door number two is opened does not affect the probability of the car being behind either door number one or three (since both have been hidden from Monty Hall). However, it does give you new information: since there are no more goats left to be found and only one door can hide a car, the other remaining door must contain the car. > Therefore, with this new information, your best option is to switch doors and choose door number three, as that's where the car must now be located given what you know about Monty Hall's choices. > It is important to remember that the car cannot magically move between doors after being seen or hidden; it always remains in its original position behind one of the doors. The information provided by Monty Hall simply helps you make a more informed decision based on your initial choice. I love these open source models, they're an endless source of hilarity. Not much use for anything else though :P