The Monty Hall Show

Assume that you are on "Let's Make a Deal" with Monty Hall and your up at the end of the show. Monty shows you three curtains and says "Behind one of these curtains is the grand prize and behind the other two are booby prizes." You pick a door. Now Monty says "We are going to show you one of the doors you didn't pick that had a booby prize behind it." A curtain rises with a booby prize leaving the door you selected and one other door. "I am going to give you the opportunity to switch doors. Do you want to switch or stick with your choice?"

Are you better off switching doors? Try it and find out.

More to come!