I saw an interesting probability question today:

Let's say that you're on The Price Is Right (or something) and are presented with a choice of three doo... wait a minute, let's Action Team this up. Let's say you're in the Tomb of Horrors, in the fabled "Room of Fuckers." You have a choice of three doors. A magic mouth informs you that behind one of the doors is a fabulous prize, for example some elven chainmail, and behind the other two doors is DEATH!!!

You pick one of the doors, but don't open it yet. At that time, one of the doors that you did NOT pick opens, revealing that it contained DEATH!!! (In the form of a Beholder maybe? I dunno.)

At this point you have a choice. You can either stick with the door you picked, and open it, or you can switch your choice to the other unopened door, and open that one instead.

What should you do? Stick with the door you picked, or switch to the remaining door?

Can you survive the Tomb of Horrors Fuckers?

Maybe you guys all totally know the answer to this one already, in which case lolz @ me.