A mathematical queryOn Deal or No Deal, if you get all the way to the end without dealing you get the option to swap your box for the last remaining box. Query is, should you?
Is it the same as the two goats and a car game show principle? (Three doors, behind two are goats, and behind one is a car. You choose a door, the gameshow host opens one of the other doors to reveal a goat. He gives you the option to change doors. In this situation you should change (assuming you want to find the car!).) Or is it slightly different somehow? Assume we have got right to the end and the banker's final offer has been rejected.