Monty Hall problem | monty hall game
AprobabilitypuzzleInsearchofanewcar,theplayerpicksadoor,say1.Thegamehostthenopensoneoftheotherdoors,say3,torevealagoatandofferstolettheplayerswitchfromdoor1todoor2.TheMontyHallproblemisabrainteaser,intheformofaprobabilitypuzzle,looselybasedontheAmericantelevisiongameshowLetsMakeaDealandnamedafteritsoriginalhost,MontyHall.Theproblemwasoriginallyposed(andsolved)inaletterbySteveSelvintotheAmericanStatisticianin1975(Selvin1975a),(Selvin1975b).ItbecamefamousasaquestionfromareadersletterquotedinMa...
A probability puzzle
In search of a new car, the player picks a door, say 1. The game host then opens one of the other doors, say 3, to reveal a goat and offers to let the player switch from door 1 to door 2.The Monty Hall problem is a brain teaser, in the form of a probability puzzle, loosely based on the American television game show Lets Make a Deal and named after its original host, Monty Hall. The problem was originally posed (and solved) in a letter by Steve Selvin to the American Statistician in 1975 (Selvin 1975a), (Selvin 1975b). It became famous as a question from a readers letter quoted in Marilyn vos Savants "Ask Marilyn" column in Parade magazine in 1990 (vos Savant 1990a):
Suppose youre on a game show, and youre 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 whats behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you wan...