In Monty Hall’s game show you are the contestant.
In this game there are three doors to rooms at the back of the stage and you are told that behind one of them is a prize and the other doors lead to empty rooms.
You are asked to choose a door. If you pick the door with the prize, you win it, if empty you lose. Then Monty, who knows where the prize is, opens an empty door. He then offers you the chance to switch doors or stick with the one you first picked. Should you switch? Answer is either YES, NO or IT DOESN’T MATTER. Hint: Remember it’s a probability puzzle.