Slighty off-topic, but fun: the Quizmaster’s Dilemma. I learned about this a long time ago, and it is a quite well known case in game theory. Tonight I tried to explain this to Robin, our housemate, but he is still not convinced. So let me tell you the dilemma and challenge you to give your answers in the comments below (and of course: do not cheat by looking it up first…)
Here we go: a candidate is about to win a prize in a quiz. He is presented with three curtains; one of them hides the prize, the other two are empty. The quizmaster asks the candidate to select a curtain and make his choice known. Before opening the curtain of choice, the quizmaster opens up one of the other curtains, one of which he knows that it is empty. He then asks the candidate if he wants to change to the other curtain. The dilemma is: does changing from curtain improve his chances of winning the prize or not?
Let me know what you think and why!