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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 problem' and and 'Problem summary' sections look like they could be merged. A screenshot from the orginal show would be nice. --Piotr Konieczny aka Prokonsul Piotrus Talk 23:27, 18 Jun 2005 (UTC) I've clarified the solution in the lead and combined the 'problem' and 'problem summary' sections. I'll try to find a screenshot from the show.
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).
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 ...
A solution of the first problem uses only probability (as I presented it). A solution of the second problem uses game theory. I remind you we discuss only the part named: Simple Solutions. The solution which starts with: "The solution presented by vos Savant..." and ends with "...winning by switching is 2/3." is an answer to the first question ...
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.
Yes. Martin Hogbin 15:27, 17 September 2010 (UTC). No, insofar most reputable sources for the simple (unconditional) solutions do not address which question are they answering (average chance of winning over a population Vs. chance of winning as judged by a particular player), and/or what assumptions they make on the host behavior, AND there are reputable sources pointing out these shortfalls ...