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Topic: Empirical proof of the Monty Hall problem

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	Learn more about Monty Hall problem in the online encyclopedia. (Site not responding. Last check: 2007-11-02)
		Monty will not choose the contestant's door, but which of the other two he chooses depends upon what is behind the contestant's door.
		Monty then eliminated a player with a goat behind their door (if both players had a goat, one was eliminated randomly, without letting the players know about it), opened the door and then offered the remaining player a chance to switch.
		After this problem's solution was discussed in Marilyn vos Savant's "Ask Marilyn" question-and-answer column of Parade magazine in 1990, many readers including several math professors wrote in to declare that her solution was wrong.
	www.onlineencyclopedia.org /m/mo/monty_hall_problem.html (1515 words)

	[No title] (Site not responding. Last check: 2007-11-02)
		Despite good empirical evidence for his claims that Aristotle was wrong on these points, academics of the time found reasons not to bow to the empirical evidence.
		The triumph of empiricism as the fundamental means of attaining and verifying knowledge meriting the designation "scientific" came when it became abundantly clear that empiricism is a better guide to truth in our knowledge of the natural world than is either dogmatism or rationalism.
		Consider these empirically documented yet totally counter-intuitive facts from science: Speed with which an object falls is independent of its mass; injecting weak form of a disease immunizes one against the disease; the earth is round; matter is shot full of holes; matter and energy are equivalent.
	www.olemiss.edu /courses/psy214/Lectures/Lecture1/lex1.htm (6294 words)

	The world's top monty hall problem websites
		The Monty Hall problem is a puzzle in probability that is loosely based on the American game show Let's Make a Deal; the name comes from the show's host Monty Hall.
		As in the Monty Hall problem, the dealer knows where the winning card is, but here the dealer always tries to trick the player into picking the wrong card.
		The Monty Hall problem is elegantly discussed, from the perspective of a boy with Asperger's syndrome, in the novel of 2003 by Mark Haddon The Curious Incident of the Dog in the Night-Time.
	dirs.org /wiki-article-tab.cfm/monty_hall_problem (2385 words)

	9/11 "Conspiracies" and the Defactualisation of Analysis :: How Ideologues on the Left and Right Theorise Vacuously to ... (Site not responding. Last check: 2007-11-02)
		It is further unlikely that the institutional compartmentalisation of the U.S. intelligence community contributed to its failure to develop a coherent perspective on the specific threat to U.S. national security of Al-Qaeda, because that compartmentalisation primarily affects the development of “a coherent worldview” — not a specific aspect thereof.
		The main problem here is that Corn keeps his commentary within the realm of theory, without actually assessing in a meaningful manner the available data on warnings of the 9/11 attacks received by the U.S. intelligence community.
		In this context, it is perfectly legitimate to investigate the 9/11 intelligence failure with due consideration given to both the admittedly unlikely “incompetence theory”, as well as what might be termed “the political inaction” theory, of which the “foreknowledge hypothesis” is one variation.
	www.mediamonitors.net /mosaddeq37.html (5017 words)

	[No title] (Site not responding. Last check: 2007-11-02)
		When Monty opens one of the doors in the B partition, he is in effect removing that door from the game, reducing the cardinality of B from 2 to 1.
		At this point, Monty is giving the contestant the option of trading A for ALL the doors in B. And since the probability that the money is in B is still 2/3, it's a good trade.
		STEP ONE: In the initial phase of the exercise (before Monty opens a door and reveals a booby prize), the contestant has a 1/3 chance of having chosen the door with the good prize behind it, and a 2/3 chance of having chosen one of the doors with a booby prize.
	www.panix.com /~mshaw/3door.txt (1851 words)

	Read This: The Curious Incident of the Dog in the Night-time
		Perhaps the most amusing mathematical interlude of the novel is the discussion of the Monty Hall Problem on p.
		For a much fuller discussion of the numerous variants of this problem, see the article The WWW Tackles the Monty Hall Problem.
		One very elegant proof of this fact involves constructing a numerical labeling of the possible tile positions that behaves in a certain way with respect to the jumps, and showing that there is no way to attain the label that is sitting 5 rows above the line.
	www.maa.org /reviews/dogincident.html (1833 words)

	empirical
		In the confining context of an empirical study, there is only one strategy for discovery: exploring the data.
		The International Association of Empirical Aesthetics was founded in 1965 by DE Berlyne, Robert Francès, Carmelo Genovese, and Albert Wellek.
		empirical study about why older student return to college
	www.jointctr.org /?Category=empirical (107 words)

	Penn College Outreach for K-12: Pennsylvania Governor's Institute for Mathematics
		After the contestant chooses which mystery door he wants, Monty Hall shows him what was behind one of the losing doors.
		Student A would be Monty Hall and using the 3 index cards select which door is the winner.
		Results are student generated and empirical probability will be consistent with theoretical probability with a class size of about 20 students.
	www.pct.edu /k12/gov-math/2003/9-12-lets-make-a-deal.html (847 words)

	The Monty Hall problem
		No-one EVER gets the answer right, even research science professionals who are taught about probability, and I had to have my nose rubbed in some empirical evidence before I believed it.
		The game-show host - let's call him Monty Hall, since he actually exists and that's his name - then crosses the studio to one of the OTHER doors and opens it, revealing...
		Crucial to understanding this problem is realising that the host KNOWS which door conceals the car, and actively chooses to open a door which does not conceal it, thereby altering the constraints on your subsequent choices.
	www.bignell.demon.co.uk /montyhall.htm (636 words)

	Philosophy 148 Syllabus
		Usually, an assignment will consist of several exercises, problems, and/or short answer questions, each of which should be answerable in a page or two.
		The (cumulative) final exam will also consist of exercises and problems similar to those seen on the mid-term and the assignments (with perhaps some short essay questions thrown in as well).
		Krauss and Wang, The psychology of the Monty Hall problem: discovering psychological mechanisms for solving a tenacious brain teaser, Journal of Experimental Psychology: General, 132: 3–22.
	socrates.berkeley.edu /~fitelson/148/syllabus.html (2562 words)

	The Monty Hall Proof
		We can do this without reducing the validity of our proof, because if the car were behind door no. 2, we only had to exchange all occurrences of "door 1" with "door 2" and vice versa, and the proof would still hold.
		What I did here is a very simple proof because I just enumerated all possible cases and added the probabilities.
		But a proof it is nonetheless, and thus I can boldly write qed.
	www.remote.org /frederik/projects/ziege/beweis.html (264 words)

	Empirical proof of the Monty Hall problem (Site not responding. Last check: 2007-11-02)
		The purpose of the following Perl program is to prove the result to the Monty Hall problem.
		It performs a set number of games and keeps track of how often a sticker (someone who sticks to their first choice) and a switcher (someone who switches to another door) would win the game.
		else { $monty = $door [ ($contestant+1) % 3 ] eq 'goat' ?
	www.theezine.net /e/empirical-proof-of-the-monty-hall-problem.html (312 words)

	Computer Humor
		You are able to argue persuasively that Ross Perot's phrase "electronic town hall" makes more sense than the term "information superhighway," but you don't because, after all, the man still uses hand-drawn pie charts.
		If there are no problems handily available, they will create their own problems.
		Decisions that fall from the adminisphere are often profoundly inappropriate or irrelevant to the problems they were designed to solve.
	www.geocities.com /krishna_kunchith/humor/computer.html?200515 (15086 words)

	Mythology (Site not responding. Last check: 2007-11-02)
		Also the stories we discuss express viewpoints and beliefs of the country time culture and/or religion which gave birth to thus one can speak of a Jewish a Christian mythology or an Islamic mythology which one describes the mythic elements within faiths without speaking to the veracity of faith's tenets or claims about its history.
		Many modern day rabbis and priests within more liberal Jewish and Christian movements as as most Neopagans have no problem viewing religious texts as containing myth; they see sacred texts as indeed containing religious truths inspired but delivered in the language of Others of course disagree.
		Television and book series like Star Trek and Tarzan have strong mythological aspects that sometimes into deep and intricate philosophical systems.
	www.freeglossary.com /Mythical (1333 words)

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