Monty Hall Problem: Difference between revisions

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Line 1: {{trope}} A classic mathematical problem involving probabilites. The basic form is based on one of the games on the [[Game Show]] ''[[~~Let's Make a Deal (TV)\|~~Let's Make a Deal]]''. The contestant is offered the choice of three doors. One has a car behind it, the two others hide [[Zonk\|goats]]. The contestant chooses a door. The host (who knows what is behind each door) then opens one of the two other doors, revealing a goat. The contestant is then offered the choice to switch to the unrevealed door or stick with his original decision. The correct answer is to switch, as the probability is 66.7% that the car will be behind the other door. This is because there was a 2 in 3 chance that you chose a goat originally, and the host isn't providing any new information since he can ''always'' open a door with a goat. See [[The Other Wiki]] [~~http://en.~~[wikipedia~~.org/wiki/Monty_Hall_problem~~:Monty Hall problem\|for an explanation of the math]]. Note that this number is true only if the host is ''required'' to reveal a goat and then offer the contestant the choice to switch. See ''[http://www.nytimes.com/1991/07/21/us/behind-monty-hall-s-doors-puzzle-debate-and-answer.html?pagewanted=all The New York Times]'' for what happens when the host is not. Named after the longtime host of ''Let's Make a Deal''. It causes a surprising amount of [[Internet Backdraft]]. Line 9: Not to be confused with [[Monty Haul]], which is a different problem altogether. ~~{{examples\|Examples of this in works:}}~~ {{examples}} == [[Card Games]] == * ''[[Perplex City]]'' == [[Film]] == * ''[[~~Twenty One~~21 (~~Film~~2008 film)\|21]]'' == [[Literature]] == * ''[[~~The Curious Incident of the Dog In The Night Time\|~~The Curious Incident of the Dog in the Night-Time]]'' * Explained six different ways (including a list of everything that might happen) in Ian Stewart's ''[[The Magical Maze]]''. Line 24: * Subverted in ''[[Deal or No Deal]]''. While a contestant who reached the final case was offered the opportunity to switch it out with his/her case, Howie Mandel went out of his way to explain that this was ''not'' a Monty Hall situation: The show offered the switch to everyone who got that far, and he had no knowledge of which case contained which dollar amount. * ''[[Numb3rs]]'' * ''[[~~Myth Busters~~MythBusters]]'' not only tested the probabilities of the Monty Hall problem as stated above, but also contestant behavior when presented with the situation. (All 20 "contestants" tested stuck with their original decision rather than switching.) == [[Real Life]] == Line 30: {{reflist}} [[Category:Tropes Examined By the Mythbusters]]▼ [[Category:Stock Puzzle]] [[Category:Monty Hall Problem]] ▲[[Category:Tropes Examined Byby the Mythbusters]] [[Category:Shout-Outs Index]]