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?For whatever reason, this is known as The Monty Hall Problem. It is a counter-intuitive problem because, for some reason, it IS to your advantage to switch your choice. In other words, there isn't a 50-50 chance of getting it right if the game show host offers to change your decision.
Apparently the important variable to consider is the Game Show host - he knows what is behind each door. The fact that he knows means that it is to your advantage to change your choice. For some reason there is a 2 in 3 chance of getting the right answer. But if he didn't know - and just opened some random door - then the chance of getting it right remains 50-50.
So if you find yourself in a game show and this happens, you can thank me for helping you. Just give me a share of the prizes.