The host of the game show "Let's Make a Deal" who lends his name to a probability problem is Monty Hall. The related probability puzzle is called the Monty Hall problem. It involves a game show scenario where a contestant picks one of three doors, behind one of which is a prize. The host, Monty Hall, who knows what is behind each door, opens one of the other doors to reveal a goat (a losing option) and then offers the contestant a choice to switch to the remaining unopened door. The problem analyzes whether it is advantageous to switch doors, with the answer showing that switching actually doubles the chances of winning the prize to 2/3, compared to sticking with the initial choice which has a 1/3 chance.
