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?
Do any of you have any noteworthy experiences where knowledge of math helped you in an unusual way?
https://en.wikipedia.org/wiki/Monty_Hall_problem
(Score: 3, Informative) by WalksOnDirt on Friday July 29 2016, @04:41PM
Sure, that makes it a simple exercise in game theory. You should never switch. The problem has to be stated very carefully to avoid that, and it usually isn't.