I have a couple of variants of the http://en.wikipedia.org/wiki/Monty_Hall_problem" [Broken] that I have a hard time to figure out how to handle. What if Monty doesn't have to open the door. All we know is that he is smart. How should we then behave if 1) he wants us to find the car? 2) he does not want us to find the car? 3) we don't know if he wants us to find the car or not, or maybe he doesn't have any intentions? Do you have any ideas?