Question

Suppose you are a contestant who has selected one of three doors after being told that two of them conceal nothing, but that a new red Corvette is behind one of the three.
Next, the host opens one of the doors you didn’t select and shows that there is nothing behind it. He then offers you the choice of sticking with your first selection or switching to the other unopened door.

Should you stick with your first choice or should you switch?

Develop a simulation of this game and determine whether you should stick or switch.