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# Topic: Monty Hall

 Monty Hall - Wikipedia, the free encyclopedia Monty Hall, born August 25, 1921 in Winnipeg, Manitoba, as Maurice Halprin, is a Canadian-born actor, singer and sportscaster, but is best known for being the MC of popular American television game shows. Hall himself gave a pretty good explanation of the solution to that problem, and why the solution did not apply to the case of the actual show, in an interview with New York Times reporter John Tierney in 1991. Hall received his Bachelor of Science degree from the University of Manitoba, where he majored in biology and zoology as a pre-med student. en.wikipedia.org /wiki/Monty_Hall   (526 words)

 Monty Hall problem - Wikipedia, the free encyclopedia Despite similarity in their name, the game used in the Monty Hall problem is not related to three card monte, a gambling game in which the player has to find a single winning card among three face-down cards. The Monty Hall problem is essentially a reasoning problem and involves no deception or tricks, whereas in three card monte the dealer tries to trick the player into picking the wrong card. The Monty Hall problem is discussed, from the perspective of a boy with autism, in The Curious Incident of the Dog in the Night-time, a 2003 novel by Mark Haddon. en.wikipedia.org /wiki/Monty_Hall_problem   (3644 words)

 Monty Hall In our problem, the contestant chooses door A and Monty opens B and we want to know the probability that C has the car given that Monty opens B. Now, all the probabilities relevant to Monty opening B are shown inside a square in the diagram. However, it is conceivable that Monty might do this if he decides that if he reveals the prize he will move items around and run the whole scenario again until a goat is revealed (and recorded TV has the advantage of only broadcasting this moment). If Monty offers the switch only when the contestant has correctly chosen the prize door A then there is zero probability that the car is behind door C. Here, there is definitely no advantage to the contestant in switching. barryispuzzled.com /zmonty.htm   (1208 words)

 The Monty Hall Problem   (Site not responding. Last check: 2007-11-07) If the Monty Hall problem ended with the selection of the first door (and that would be a very dull problem, indeed), we could safely predict that one time out of three, the door picked will contain a prize; and that the contestant will go home with a brand-new Kenmore washer and dryer. Monty Hall then opens one of the two remaining doors, and reveals to you that it does not contain a prize. In this case, Monty Hall has no choice in what door to open for you - he has to open the rightmost door, because that's the only one of the two that does not hide the prize. www.ece.sunysb.edu /~ese306/monty.html   (1611 words)

 Math Forum: Ask Dr. Math FAQ: The Monty Hall Problem After Monty has shown a goat behind the door that he opens, the contestant is always given the option to switch doors. One way to think about this problem is to consider the sample space, which Monty alters by opening one of the doors that has a goat behind it. If Monty opens 998 doors, all of them with goats behind them, the door that you chose first will still have a 1/1,000 chance of being the one that conceals the car, but the other remaining door will have a 999/1,000 probability of being the door that is concealing the car. mathforum.org /dr.math/faq/faq.monty.hall.html   (899 words)

 Monty Hall Monty now opens one of the doors B and C to reveal that there is no prize there. I think the reason the Monty Hall problem raises people's ire is because a basic ability to estimate likelihoods of events is important in everyday life. Monty Hall contestants are, therefore, likely to ignore the first part of the challenge and concentrate on the task facing them after Monty has opened the door. www.maa.org /devlin/devlin_07_03.html   (2123 words)

 TVgameshows.net: Legends of the Game....Monty Hall   (Site not responding. Last check: 2007-11-07) One catch: Monty had to recover from a freak accident in a doctor's office which left him with a broken hip last June. MONTY: It is and I'll tell you how we know it is. We saw the way he worked the line on The Today Show with people. MONTY: I don't want to get into any specific names but some of them are comedians and standup comedians are not the kind of people you want for our show. www.tvgameshows.net /montyhall.htm   (1443 words)

 Monty Hall   (Site not responding. Last check: 2007-11-07) Monty Hall is the co-creator of Let's Make A Deal with his partner, writer-producer Stefan Hatos. Monty starred as emcee of the show from 1963 through 1986 and returned for a limited run of the show in 1990. Monty's Career Go to a rundown of the highlights of Monty's professional career. www.letsmakeadeal.com /MontyHall.htm   (77 words)

 HUGIN EXPERT - Monty_Hall   (Site not responding. Last check: 2007-11-07) The Monty Hall example demonstrates the use of a small Bayesian network to solve the Monty Hall Puzzle. Monty Hall (who knows where the prize is) opens another door which does not contain the prize You know that Monty is going to open an empty door so when he does, this should not change a thing about your belief of your door being the right one. developer.hugin.com /Samples/Monty_Hall/Monty_Hall.article   (671 words)

 Education, Mathematics, Fun, Monty Hall Dilemma   (Site not responding. Last check: 2007-11-07) The Monty Hall Dilemma was discussed in the popular "Ask Marylin" question-and-answer column of the Parade magazine. Monty now opens three of the remaining doors to show you that there is no prize behind it. "In the three-door Monty Hall Dilemma, there are two stages to the decision, the initial pick followed by the decision to stick with it or switch to the only other remaining alternative after the host has shown an incorrect door. www.cut-the-knot.com /hall.html   (1606 words)

 DCity - The Three Doors   (Site not responding. Last check: 2007-11-07) Monty offers you the contents behind one of three doors (only one door hides something valuable). After you make your choice, Monty will show you the contents of one of the two remaining doors, which was always a dud prize (like a goat). Note: In this game, Monty always shows an empty door (goat) after you make your first choice, and then you are always offered a choice of keeping your first choice or to switch to the other door. www.dcity.org /braingames/3doors/index.htm   (190 words)

 Let's Make a Deal! | MetaFilter Now, Monty will look at the rest of the deck and flip over 50 cards that are not the ace and leave one face down that may or may not be the ace. There is something called "the Monty Hall Paradox", which has very specific wording, that given a specific starting point (prior to the initial choice), the statistically better decision at the secondary point (after Monty's reveal) is to switch. Just know that because Monty is constrained by your choice and the rules of the game, that of the two doors left unopened (your choice and one other), the other door has twice the likliehood of hiding the prize than your choice. www.metafilter.com /mefi/34449   (8673 words)

 Monty Hall - NBHF   (Site not responding. Last check: 2007-11-07) Monty has headlined at the Sahara Hotel in Las Vegas, starred in his own variety specials on ABC and has made special appearances on numerous television programs, including the CBS hit "Love and War", which featured his daughter, Tony Award-winning actress Joanna Gleason. Monty is currently on the Boards of many organizations, and has won over 500 awards and several honorary doctorate degrees. Monty's wife Marilyn, is a writer-producer and Emmy Award-winner as co-producer of "Do You Remember Love," a drama about Alzheimer's Disease. www.campevans.com /NBHF-MontyHall.html   (269 words)

 The Straight Dope: On "Let's Make a Deal," you pick Door #1. Monty opens Door #2--no prize. Do you stay with ... In fact, it can be shown that if Monty always opens a door when the contestant is right and half the time when he's wrong--a perfectly rational approach--over the long haul the odds of the prize being behind Door #1 versus Door #2 are 50-50. Monty is saying in effect: you can keep your one door or you can have the other two doors, one of which (a non-prize door) I'll open for you. The difference between this and the Monty Hall question is that we're assuming Monty knows where the prize is, and uses that information to select a non-prize door to open; whereas in the lottery example the fact that the first 9,998 tickets are losers is a matter of chance. www.straightdope.com /classics/a3_189.html   (2336 words)

 The Monty Hall Problem   (Site not responding. Last check: 2007-11-07) Monty Hall hosted a game show around 25 years ago in which he fast-talked people into making deals for cash and prizes. Monty would pick someone from the audience, give them cash, the tell them that behind one of three doors was a lovely gift. By opening one of the doors, Monty just confuses you into believing this is a one-for-one trade. www.visi.com /~sgrantz/july/monty.html   (373 words)

 Monty's Dilemma: The Three-Door Problem   (Site not responding. Last check: 2007-11-07) The game show host, Monty, then opens one of the other doors to reveal a junky gift behind it. The contestant is then asked if she/he would like to stick with the original door or switch to the remaining door. Monty knows which door has the prize and always opens one that has a GOAT behind it. www.mste.uiuc.edu /reese/monty/monty.htm   (128 words)

 Monty Hall Dilemma - 3 Doors Game - mredkj.com The Monty Hall Dilemma has also been called the "Let's Make a Deal" problem and other similar names. Monty Hall Dilemma at cut-the-knot.com - Has an explanation of the problem and a playable game. The Three Card Monty Hall Dilemma - Includes a playable game, plus the ability to simulate multiple attempts at once. www.mredkj.com /javascript/prob_rules.html   (306 words)

 Monte Hall, Let's Make a Deal, Problem   (Site not responding. Last check: 2007-11-07) Monty Hall was the host of a game show called "Let's Make a Deal." This was a very popular show due in part to the finale. Monty Hall has never admitted this, but observations of the show are consistent with this assumption. Monty holds up the three cards so only he can see their value. www.nadn.navy.mil /MathDept/courses/pre97/sm230/MONTYHAL.HTM   (917 words)

 Monty Hall - Explanations of Solution   (Site not responding. Last check: 2007-11-07) The probability that the door Monty Hall chooses conceals the prize is 0, since he never chooses the door that contains the prize. Most people who get this puzzle wrong reason that after Monty reveals a losing door there are two doors left, one of which contains the prize, and therefore the probability of each concealing the prize is 1/2. Monty knows which door conceals the prize, so he then opens 999 998 losing doors. exploringdata.cqu.edu.au /montyexp.htm   (654 words)

 Monty's Dilemma   (Site not responding. Last check: 2007-11-07) Monty opens a door with nothing behind it, then you are presented with a choice to either stick with the door you originally picked or to switch to the other unopened door. Monty knows which door has the prize and always opens one that has no prize behind it. The concept is still the same: Monty opens all the doors except the one you chose and the one that contains the prize. www.mste.uiuc.edu /pavel/java/dilemma   (746 words)

 No. 1577: The Monty Hall Problem On the one hand, we cry out to brush the Monty Hall problem off as "lying with statistics." But our electronic systems would break down without that sort of thinking. The Monty Hall Problem is a powerful reminder that information really does gain the prize behind the door -- when we know how to use it. The reader who is unconvinced might want to look at one of the excellent web sites that turn up when one searches for the "Monty Hall Problem." Several of these allow one to test the result empirically by playing the game several times in rapid succession. www.uh.edu /engines/epi1577.htm   (622 words)

 [No title] This problem was given the name The Monty Hall Paradox in honor of the long time host of the television game show "Let's Make a Deal." Articles about the controversy appeared in the New York Times and other papers around the country. The problem says only that Monty opened a door with a goat behind it so we interpret this to mean that if the car is revealed then the game is over and the next contestant plays the game. This time however, Monty Hall has the option of opening a door with a car behind it, but by chance he didn't. math.ucsd.edu /~crypto/Monty/montybg.html   (1351 words)

 Crrrrrrrrr! Haaaaaaaa! Hall says he never gave anybody a chance to switch. If you don't care about what prior and posterior probability are, here is an intuitive explanation of how it works: When you choose a door the first time, that door has a 2/3 chance of being a door behind which is a lousy prize. Monty Hall can't open the door you picked, and he can't open the door with the good prize (for such is forbidden by the rules), so the two times out of three that you pick the wrong door initially, Monty has to open the other lousy door. www.crummy.com /features/hall/monty   (839 words)

 Graphical Proof of the Monty Hall Problem   (Site not responding. Last check: 2007-11-07) Monty Hall, who knows where the diamond is, must eliminate one of the empty, unchosen cups, leaving only two cups on the table (Move Two). Note that in the first column, Monty Hall must leave one unchosen empty cup, even though he has two choices of empty cups to eliminate. In the second two columns, Monty has only one choice of empty cup to eliminate and must leave the one unchosen cup with the diamond. math.ucr.edu /~jdp/Monty_Hall/Monty_Hall.html   (253 words)

 A new approach to the Monty Hall problem Reams and reams have been written about the Monty Hall problem, but no-one seems to have mentioned a simple fact which, once realised, makes the whole thing seem intuitive. The Monty Hall show is a (possibly fictional, I'm not sure) TV gameshow. The host imparts some information to the couple about which door the car is behind, but not enough to tell for the couple to tell for definite which door the car is behind - just enough to shift the probability in favour of the door which they would choose if they opted to "change". www.reenigne.org /maths/montyhall.html   (1321 words)

 Joho the Blog: Damn you, Monty Hall! After you choose your door, but before it's revealed to you, Monty Hall (the emcee) opens one of the doors you didn't choose and reveals a donkey. Now Monty says "Here's the catch - if you take two doors, I, who know where the prize is, will open one wrong door of the two doors you picked, show you it is wrong, and ask you if you'd like to switch, and go back to the envelope with just one door in it". The extent of their mysteriousness is dependent on the revealedness of the door Monty opens to show a donkey. www.hyperorg.com /blogger/mtarchive/003887.html   (2553 words)

 Marilyn is tricked by a game show host   (Site not responding. Last check: 2007-11-07) In her Parade Magazine columns of September 9, 1990, February 17, 1991, and July 7, 1991, Marilyn discusses a gameshow in which the contestant is given a choice of one of three doors, behind one of which is a prize. Hall dismissed that contestant, turned to the other one, and gave him or her the option of switching. Hall must open door B to dismiss contestant B ("We're sorry, it's not behind door B") and presents contestant A with the choice. www.wiskit.com /marilyn.gameshow.html   (2727 words)

 The Monty Hall Problem Monty asked the contestant to choose a door. Then Monty opened one of the remaining doors, revealing a booby prize. Monty then offered the contestant the option to stay with the originally chosen door or switch to the other unopened door. www.rdrop.com /~half/Creations/Puzzles/LetsMakeADeal   (740 words)

 The Monty Hall Problem   (Site not responding. Last check: 2007-11-07) Monty Hall, the host, asks you to pick a door, any door. Monty opens door B (say) and shows voila there is nothing behind door B. Gives you the choice of either sticking with your original choice of door A, or switching to door C. Should you switch? In other words, the probability that the prize is behind door C is higher when Monty opens door B, and you SHOULD switch! astro.uchicago.edu /rranch/vkashyap/Misc/mh.html   (122 words)

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