After talking about the film '21' in the pub last night, much argument ensued about the 'Monty Hall Problem'. Not sure if its been done before on here but I thought it would be fun for you all to have a go at this problem. Two things though, if you've already done it then don't try to be a hero by posting your prior knowledge answer here and don't go straight to Google/Wikipedia - you're only cheating yourself.
Here it is:
Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?