Actually, at least according to Wikipedia, the description is "the host will always reveal a dud no matter what happens". According to Wikipedia, the original

Actually, at least according to Wikipedia, the description is "the host will always reveal a dud no matter what happens". According to Wikipedia, the original problem statement was like this: "Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice?" https://en.wikipedia.org/wiki/Monty_Hall_problem https://en.wikipedia.org/wiki/Monty_Hall_problem