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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).
This adds up to the total of 1 / 3 of the time ( 1 / 6 + 1 / 6 ) A is being pardoned, which is accurate. It is now clear that if the warden answers B to A ( 1 / 2 of all cases), then 1 / 3 of the time C is pardoned and A will still be executed (case 4), and only 1 / 6 of the time A is pardoned (case
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 ...
To restate the 'More doors version'. You chose 1 door out of 10. Monty then closes eight of the non-winning remaining doors. He offers you a chance to switch to the remaining door. And to rephrase that problem (math is exactly the same): You chose 1 door out of 10. Monty then offers you the chance to get the prize behind any of the remaining 9 ...
10.1 Problem statement. 10.2 Points made. Toggle the table of contents. Talk ...
I'd prefer Monty Hall problem/draft#Solution, but there was persistent resistance to that version (indeed, to any version that even hints of a conditional analysis). Under the conditions specified in the problem statement, the analysis that is presented is actually true regardless of which door the host opens.
<a description of the conditional solution including the criticism of the unconditional approaches and both the 2/3 and 1/1+q answers with File:Monty tree door1.svg and the large image currently in User:Rick Block/Monty Hall problem (draft), sourced to Morgan et al., Gillman, etc.> Formal proof using Bayes' theorem