in reply to
If given a choice....

in thread I prefer what's behind

Unless, of course, they're trying to trick you by only showing you the booby prize if you picked the winning door. :)

Here's an explanation of the odds, assuming they're playing fair:

There's a 1/3 chance of picking the winning door right off. If you do that and then change your mind, you lose.

There's a 2/3 chance of picking a losing door right off. If they show you a booby prize behind another door, there's only one door left, which has to be the winner. You change your mind and win.