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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.
Monty Hall problem, also known as the Monty Hall paradox: [2] An unintuitive consequence of conditional probability. Necktie paradox: A wager between two people seems to favour them both. Very similar in essence to the Two-envelope paradox. Proebsting's paradox: The Kelly criterion is an often optimal strategy for maximizing profit in the long ...
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).
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.
The three prisoners problem appeared in Martin Gardner's "Mathematical Games" column in Scientific American in 1959. [ 1 ] [ 2 ] It is mathematically equivalent to the Monty Hall problem with car and goat replaced respectively with freedom and execution.
The Monty Hall problem is a puzzle involving probability loosely based on 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 ...
Interestingly, the Curious Incident book (the article on which links to this page) does a markedly better job of summarizing the problem, the solution, and the controversy (and in the context of a fictional story narrated by a 10-year old child). In addition to cleaning up the technical content, there needs to be more focus on the social impact ...
The article cites Gillman (1992) in support of the Morgan et al. solution. Interestingly Gillman does not refer to those authors at all, but instead to a note by himself one year earlier "The car and goats fiasco", Focus (newsletter of the Mathematical Association of America, of which Gillman was a past president), volume (or number) 11, June 2011, p.8.