• Bertrand's box paradox (also known as the three-cards problem)
• Boy or Girl paradox
• Three Prisoners problem
• Two envelopes problem
References
• Adams, Cecil (1990)."On 'Let's Make a Deal,' you pick Door #1. Monty opens Door #2—no prize. Do you stay with Door #1 or switch to #3?", [1] The Straight Dope, (November 2, 1990). Retrieved July 25, 2005.
• Bapeswara Rao, V. V. and Rao, M. Bhaskara (1992). "A three-door game show and some of its variants". The Mathematical Scientist 17(2): 89–94.
• Barbeau, Edward (1993). "Fallacies, Flaws, and Flimflam: The problem of the Car and Goats". The College Mathematics Journal 24(2): 149-154.
• Barbeau, Edward (2000). Mathematical Fallacies, Flaws and Flimflam. The Mathematical Association of America. ISBN 0-88385-529-1.
• Behrends, Ehrhard (2008). Five-Minute Mathematics [2]. AMS Bookstore. p. 57. ISBN 9780821843482.
• Bloch, Andy (2008). "21 - The Movie (my review)" [3]. Retrieved 2008-05-05.
• Chun, Young H. (1991). "Game Show Problem," OR/MS Today 18(3): 9.
• D'Ariano, G.M et al. (2002). "The Quantum Monty Hall Problem" [4] (PDF). Los Alamos National Laboratory, (February 21, 2002). Retrieved January 15, 2007.
• Devlin, Keith (July – August 2003). "Devlin's Angle: Monty Hall" [5]. The Mathematical Association of America.
Retrieved 2008-04-25.
• "The Monty Hall puzzle" [6]. The Economist (The Economist Newspaper) 350: p. 110. 1999.
• Falk, Ruma (1992). "A closer look at the probabilities of the notorious three prisoners," Cognition 43: 197–223.
• Flitney, Adrian P. and Abbott, Derek (2002). "Quantum version of the Monty Hall problem," Physical Review A, 65, Art. No. 062318, 2002.
• Fox, Craig R. and Levav, Jonathan (2004). "Partition-Edit-Count: Naive Extensional Reasoning in Judgment of Conditional Probability," Journal of Experimental Psychology: General 133(4): 626-642.
• Gardner, Martin (1959a). "Mathematical Games" column, Scientific American, October 1959, pp. 180–182.
Reprinted in The Second Scientific American Book of Mathematical Puzzles and Diversions.
• Gardner, Martin (1959b). "Mathematical Games" column, Scientific American, November 1959, p. 188.
• Gill, Jeff (2002). Bayesian Methods, pp. 8–10. CRC Press. ISBN 1-58488-288-3, ( restricted online copy [7] at Google Books)
• Gill, Richard (2009a) Probabilistic and Game Theoretic Solutions to the Three Doors Problem, prepublication, http://www.math.leidenuniv.nl/~gill/threedoors.pdf.
• Gill, Richard (2009b) Supplement to Gill (2009a), prepublication, http://www.math.leidenuniv.nl/~gill/
quizmaster2.pdf
• Gill, Richard (2010) Second supplement to Gill (2009a), prepublication, http://www.math.leidenuniv.nl/~gill/
montyhall3.pdf
• Gillman, Leonard (1992). "The Car and the Goats," American Mathematical Monthly 99: 3–7.
Monty Hall problem 26
• Granberg, Donald (1996). "To Switch or Not to Switch". Appendix to vos Savant, Marilyn, The Power of Logical Thinking. St. Martin's Press. ISBN 0-612-30463-3, ( restricted online copy [8] at Google Books).
• Granberg, Donald and Brown, Thad A. (1995). "The Monty Hall Dilemma," Personality and Social Psychology Bulletin 21(7): 711-729.
• Grinstead, Charles M. and Snell, J. Laurie (2006-07-04) (PDF). Grinstead and Snell’s Introduction to Probability
[9]. Retrieved 2008-04-02. Online version of Introduction to Probability, 2nd edition, published by the American Mathematical Society, Copyright (C) 2003 Charles M. Grinstead and J. Laurie Snell.
• Hall, Monty (1975). The Monty Hall Problem. [10] LetsMakeADeal.com. Includes May 12, 1975 letter to Steve Selvin. Retrieved January 15, 2007.
• Henze, Norbert (1997). Stochastik für Einsteiger: Eine Einführung in die faszinierende Welt des Zufalls, pp. 105, Vieweg Verlag, ISBN 3-8348-0091-0, ( restricted online copy [11] at Google Books)
• Herbranson, W. T. and Schroeder, J. (2010). "Are birds smarter than mathematicians? Pigeons (Columba livia) perform optimally on a version of the Monty Hall Dilemma." J. Comp. Psychol. 124(1): 1-13. Retrieved from http://www.ncbi.nlm.nih.gov/pubmed/20175592 March 1, 2010.
• Krauss, Stefan and Wang, X. T. (2003). "The Psychology of the Monty Hall Problem: Discovering Psychological Mechanisms for Solving a Tenacious Brain Teaser," Journal of Experimental Psychology: General 132(1).
Retrieved from http://www.usd.edu/~xtwang/Papers/MontyHallPaper.pdf March 30, 2008.
• Mack, Donald R. (1992). The Unofficial IEEE Brainbuster Gamebook [12]. Wiley-IEEE. p. 76.
ISBN 9780780304239.
• Magliozzi, Tom; Magliozzi, Ray (1998). Haircut in Horse Town: & Other Great Car Talk Puzzlers. Diane Pub Co.. ISBN 0-7567-6423-8.
• Martin, Phillip (1989). "The Monty Hall Trap" [13], Bridge Today, May–June 1989. Reprinted in Granovetter, Pamela and Matthew, ed. (1993), For Experts Only, Granovetter Books.
• Martin, Robert M. (2002). There are two errors in the the title of this book [14] (2nd ed.). Broadview Press.
pp. 57–59. ISBN 9781551114934.
• Morgan, J. P., Chaganty, N. R., Dahiya, R. C., & Doviak, M. J. (1991). "Let's make a deal: The player's dilemma," [15] American Statistician 45: 284-287.
• Mueser, Peter R. and Granberg, Donald (May 1999). "The Monty Hall Dilemma Revisited: Understanding the Interaction of Problem Definition and Decision Making" [16], University of Missouri Working Paper 99-06.
Retrieved July 5, 2005.
• Nalebuff, Barry (1987). "Puzzles: Choose a Curtain, Duel-ity, Two Point Conversions, and More," Journal of Economic Perspectives 1(2): 157-163 (Autumn, 1987).
• Rosenthal, Jeffrey S. (September 2008). "Monty Hall, Monty Fall, Monty Crawl" [17]. Math Horizons: 5–7.
• Selvin, Steve (1975a). "A problem in probability" (letter to the editor). American Statistician 29(1): 67 (February 1975).
• Selvin, Steve (1975b). "On the Monty Hall problem" (letter to the editor). American Statistician 29(3): 134 (August 1975).
• Seymann R. G. (1991). "Comment on Let's make a deal: The player's dilemma," [15] American Statistician 45:
287-288.
• Stibel, Jeffrey, Dror, Itiel, & Ben-Zeev, Talia (2008). "The Collapsing Choice Theory: Dissociating Choice and Judgment in Decision Making [18]," Theory and Decision. Full paper can be found at http://users.ecs.soton.ac.
uk/id/TD%20choice%20and%20judgment.pdf.
• Tierney, John (1991). "Behind Monty Hall's Doors: Puzzle, Debate and Answer? [19]", The New York Times, 1991-07-21. Retrieved on 2008-01-18.
• Tierney, John (2008). "And Behind Door No. 1, a Fatal Flaw [20]", The New York Times, 2008-04-08. Retrieved on 2008-04-08.
• vos Savant, Marilyn (1990). "Ask Marilyn" column, Parade Magazine p. 16 (9 September 1990).
Monty Hall problem 27
• vos Savant, Marilyn (1990b). "Ask Marilyn" column, Parade Magazine p. 25 (2 December 1990).
• vos Savant, Marilyn (1991). "Ask Marilyn" column, Parade Magazine p. 12 (17 February 1991).
• vos Savant, Marilyn (1996). The Power of Logical Thinking [21]. St. Martin's Press. ISBN 0-312-15627-8.
• vos Savant, Marilyn (2006). "Ask Marilyn" column, Parade Magazine p. 6 (26 November 2006).
• Schwager, Jack D. (1994). The New Market Wizards [22]. Harper Collins. p. 397. ISBN 9780887306679.
• Williams, Richard (2004). "Appendix D: The Monty Hall Controversy" [23] (PDF). Course notes for Sociology Graduate Statistics I. Retrieved 2008-04-25.
• Wheeler, Ward C. (1991). "Congruence Among Data Sets: A Bayesian Approach" [24]. in Michael M. Miyamoto and Joel Cracraft. Phylogenetic analysis of DNA sequences. Oxford University Press US. p. 335.
ISBN 9780195066982.
• Whitaker, Craig F. (1990). [Letter]. "Ask Marilyn" column, Parade Magazine p. 16 (9 September 1990).
External links
• The Game Show Problem [25]–the original question and responses on Marilyn vos Savant's web site
• Monty Hall [26] at the Open Directory Project
• "Monty Hall Paradox [27]" by Matthew R. McDougal, The Wolfram Demonstrations Project (simulation)
• The Monty Hall Problem [28] at The New York Times (simulation)
References
[1] http://www.straightdope.com/classics/a3_189.html
[2] http://books.google.com/books?id=EpkyE6JFmkwC&pg=PA48&dq=monty-hall+door-number&lr=&as_brr=0&as_pt=ALLTYPES&
ei=fI3iSeqLLo_ElQTmzq2fDQ#PPA57,M1
[3] http://www.andybloch.com/gl/pub/article.php?story=2008031308241327 [4] http://xxx.lanl.gov/pdf/quant-ph/0202120
[5] http://www.maa.org/devlin/devlin_07_03.html
[6] http://books.google.com/books?id=H3vPAAAAIAAJ&q=goat-b+goat-a&dq=goat-b+goat-a&lr=&as_brr=0&as_pt=ALLTYPES&
ei=yTLhSbvzJYuIkASxlsinDQ&pgis=1
[7] http://books.google.com/books?id=IJ3XTLQViM4C&pg=PA8 [8] http://books.google.com/books?id=jNndlc2W4pAC&pg&pg=PA169 [9] http://www.math.dartmouth.edu/~prob/prob/prob.pdf
[10] http://www.letsmakeadeal.com/problem.htm
[11] http://books.google.com/books?id=XRDBE3FUcPAC&pg=PA105
[12] http://books.google.com/books?id=hcy9mQp83dEC&pg=PA18&dq=%22monty+hall+problem%22&lr=&as_drrb_is=b&
as_minm_is=0&as_miny_is=&as_maxm_is=0&as_maxy_is=1995&as_brr=3&as_pt=ALLTYPES&
ei=MqDVSYDkHpeSkASZvbi-Bg#PPA76,M1
[13] http://sites.google.com/site/psmartinsite/Home/bridge-articles/the-monty-hall-trap
[14] http://books.google.com/books?id=d6w6Wyp5cyUC&pg=PA57&dq=monty-hall+door-number&lr=&as_brr=0&
as_pt=ALLTYPES&ei=fI3iSeqLLo_ElQTmzq2fDQ#PPA59,M1
[15] http://links.jstor.org/sici?sici=0003-1305(199111)45%3A4%3C284%3ALMADTP%3E2.0.CO%3B2-7 [16] http://econwpa.wustl.edu:80/eps/exp/papers/9906/9906001.html
[17] http://probability.ca/jeff/writing/montyfall.pdf
[18] http://www.springerlink.com/content/v65v2841q3820622/
[19] http://query.nytimes.com/gst/fullpage.html?res=9D0CEFDD1E3FF932A15754C0A967958260 [20] http://www.nytimes.com/2008/04/08/science/08tier.html
[21] http://books.google.com/books?id=pgQQv8W_IgIC&pg=PA5&dq=%22monty+hall+paradox%22+inauthor:savant&lr=&as_brr=0&
as_pt=ALLTYPES&ei=aETYSZDDDoWqlQSIgMHlAg#PPA6,M1
[22] http://books.google.com/books?id=Ezz_gZ-bRzwC&pg=PA397&dq=three-doors+monty-hall&lr=&as_drrb_is=b&as_minm_is=0&
as_miny_is=&as_maxm_is=12&as_maxy_is=1994&as_brr=3&as_pt=ALLTYPES&ei=qRTYSZOjLIzOkATFw_HwAg [23] http://www.nd.edu/~rwilliam/stats1/appendices/xappxd.pdf
[24] http://books.google.com/books?id=1wqvNgz58JQC&pg=PA335&dq=%22monty+hall%22+unchanged+switch&lr=&as_brr=3&
as_pt=ALLTYPES&ei=FsnSSYeXFo7skwT64ezkCQ [25] http://www.marilynvossavant.com/articles/gameshow.html
[26] http://www.dmoz.org/Science/Math/Recreations/Famous_Problems/Monty_Hall//
Monty Hall problem 28
[27] http://demonstrations.wolfram.com/MontyHallParadox/
[28] http://www.nytimes.com/2008/04/08/science/08monty.html
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