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The Monty Hall problem is a brain teaser, in the form of a probability puzzle, based nominally on the American television game show Let's 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.
The Monty Hall problem is a puzzle involving probability similar to the American game show Let's Make a Deal.The name comes from the show's host, Monty Hall.A widely known, but problematic (see below) statement of the problem is from Craig F. Whitaker of Columbia, Maryland in a letter to Marilyn vos Savant's September 9, 1990, column in Parade Magazine (as quoted by Bohl, Liberatore, and Nydick).
Monty Hall OC OM (born Monte Halparin; August 25, 1921 – September 30, 2017) was a Canadian-American [1] [2] radio and television show host who moved to the United States in 1955 to pursue a career in broadcasting. After working as a radio newsreader and sportscaster, Hall returned to television in the U.S., this time in game shows.
The original problem was the exterior grazing problem and appeared in the 1748 edition of the English annual journal The Ladies' Diary: or, the Woman's Almanack, designated as Question CCCIII attributed to Upnorensis (an unknown historical figure), stated thus:
The problem of finding the optimal decision is a mathematical ... we can calculate the expected utility of ... An example is the Monty Hall problem. See also
Monty Hall problem is treated by textbook after textbook on game theory and optimization and there you will see completely different formulas. Fortunately, formulas are not necessary at all. Richard Gill 11:29, 10 April 2011 (UTC) Intrusion: Rick, that was no "reply to Martin", even if you call it so. Martin's question was:
Monty Hall problem; Three Prisoners problem; Two envelopes problem; Sleeping Beauty problem; The Monty Hall and Three Prisoners problems are identical mathematically to Bertrand's Box paradox. The construction of the Boy or Girl paradox is similar, essentially adding a fourth box with a gold coin and a silver coin.
Another way to solve the problem is to treat it as a conditional probability problem Conditional probability can be used to solve the Monty hall problem (Selvin 1975b; Morgan et al. 1991; Gillman 1992; Carlton 2005; Grinstead and Snell 2006:137). Consider the mathematically explicit version of the problem given above.