The story
Coined by American statistician Steve Selvin in 1975, named after Monty Hall, former host of the American television game show Let's Make a Deal.
Etymology from Wiktionary, CC BY-SA 4.0.
Monty Hall problem
Today it means: A brainteaser regarding probability, in which a game show contestant picks a door to win a prize. One door conceals a car; the other two conceal goats. After the contestant picks a door, the host opens one of the two remaining doors which reveals a goat. Counterintuitively, it is then in the contestant's interests to switch to the remaining door. Full definition →