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         Monty Hall Problem:     more books (16)
  1. The Monty Hall Problem: The Remarkable Story of Math's Most Contentious Brain Teaser by Jason Rosenhouse, 2009-06-04
  2. The Monty Hall Problem & Other Puzzles (Mastermind Collection) by Ivan Moscovich, 2004-11-01
  3. The Monty Hall Problem: Beyond Closed Doors by rob deaves, 2007-01-13
  4. The Monty Hall Problem and Other Puzzles (Mastermind) by Ivan Moscovich, 2005-02-11
  5. Decision Theory Paradoxes: Monty Hall Problem, St. Petersburg Paradox, Two Envelopes Problem, Parrondo's Paradox, Three Prisoners Problem
  6. Microeconomics: Monty Hall Problem
  7. THE MONTY HALL PROBLEM AND OTHER PUZZLES (MASTERMIND COLLECTION) by IVAN MOSCOVICH, 2005-01-01
  8. Monty Hall Problem: Monty Hall Problem. Let's Make a Deal, Monty Hall, Three Prisoners problem, Bertrand's box paradox, Quantum game theory, Deal or No Deal, Bayesian probability
  9. Ivan Moscovich's Mastermind Collection Four Book Set: Hinged Square, Monty Hall Problem, Leonardo's Mirror, The Shoelace Problem & Other Puzzles [4 Book Set] by Ivan Moscovich, 2004
  10. Mathematical Problems: Monty Hall Problem
  11. Let's Make a Deal: Monty Hall Problem, Wayne Brady, Billy Bush, Big Deal, Carol Merrill, Bob Hilton, Trato Hecho, Jonathan Mangum
  12. Probability Theory Paradoxes: Simpson's Paradox, Birthday Problem, Monty Hall Problem, St. Petersburg Paradox, Boy or Girl Paradox
  13. The Monty Hall Problem byRosenhouse by Rosenhouse, 2009
  14. Bayes' Theorem: Bayes' theorem, Bayesian inference, Monty Hall problem,Bayesian network, Bayesian spam filtering, Conjugate prior,Deism, Empirical ... method, Prosecutor's fallacy, Ravenparadox

1. Monty Hall Problem - Wikipedia, The Free Encyclopedia
From Wikipedia, the free encyclopedia. Jump to navigation, search. In search of a new car, the player picks door 1. The game host. In search of a new car,
http://en.wikipedia.org/wiki/Monty_Hall_problem
Monty Hall problem
From Wikipedia, the free encyclopedia
Jump to: navigation search In search of a new car, the player picks door 1. The game host then opens door 3 to reveal a goat and offers to let the player pick door 2 instead of door 1. 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 . The problem is also called the Monty Hall paradox ; it is a veridical paradox in the sense that the solution is counterintuitive. A widely known statement of the problem appeared in a letter to Marilyn vos Savant 's Ask Marilyn column in Parade (vos Savant 1990): Suppose you're on a game show, and you're given the choice of three doors: Behind one door is a car; behind the others, goats. You pick a door, say No. 1, and the host, who knows what's behind the doors, opens another door, say No. 3, which has a goat. He then says to you, "Do you want to pick door No. 2?" Is it to your advantage to switch your choice? Because there is no way for the player to know which of the two unopened doors is the winning door, many people assume that each door has an equal probability and conclude that switching does not matter. In fact, in the usual interpretation of the problem the player

2. Monty Hall Problem - Wikipedia
Retrieved from http//nostalgia.wikipedia.org/wiki/monty_hall_problem . This page was last modified 2320, 9 December 2001. Content is available under GNU
http://nostalgia.wikipedia.org/wiki/Monty_Hall_problem
Monty Hall problem
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The Monty Hall problem is a riddle in elementary probability that arose from the game show "Let's make a deal" with host Monty Hall. The problem's main claim to fame is that after its solution was discussed in Marylin vos Savant's "Ask Marylin" question-and-answer column of Parade magazine in 1990, many readers including several math professors wrote in to declare that her solution was wrong, thereby making public fools of themselves.

3. The Monty Hall Problem - A Game Simulation
The Monty Hall Problem Illustration by a game simulation.
http://www.userpages.de/monty_hall_problem/
The Monty Hall Problem
Illustration by a game simulation Game simulation
Contact

Play mode self-play
execute several game rounds per random generator Settings Summary Contact
Originator of this Userpage: Dave Powered by

4. Monty Hall Problem - Simple English Wikipedia, The Free Encyclopedia
This short article can be made longer. You can help Wikipedia by adding to it. Retrieved from http//simple.wikipedia.org/wiki/monty_hall_problem
http://simple.wikipedia.org/wiki/Monty_Hall_Problem
Monty Hall Problem
From the Simple English Wikipedia, the free encyclopedia that anyone can change
Jump to: navigation search The Monty Hall problem is a puzzle . It has to do with chance . The puzzle is based on America's game show Let's Make a Deal . The name comes from the show host, Monty Hall In the puzzle, there are 3 doors . Behind 2 doors there are goats . And behind the last door there is a car. The host asks a player to choose a door. After the player chooses a door, the host opens a door with a goat behind it. Then, the host asks the player if he would like to change his selection. In the puzzle, it is proved that if the player changes his choice, the chance of him getting a car is 2/3. And if the player does not change his choice, then the chance of him getting a car is 1/3.
Host reveals
Goat A
or
Host reveals
Goat B

Player picks car Changing loses. Host must
reveal Goat B

Player picks Goat A Changing wins. Host must
reveal Goat A

Player picks Goat B Changing wins. The player has an equal chance of initially selecting the car, Goat A, or Goat B. Switching results in a win 2/3 of the time. There are 2 different options: 1. If the player picks a goat, then the host will show the other goat. Then if the player changes his choice, he will get a car. 2. If the player picks the other goat, then the host will show the first goat. Then if the player changes his choice, he will get a car. 3. If the player picks the car, then the host will show a goat. Then if the player changes his choice, he will get a goat

5. Index Of /archives/programs/zx81/monty_hall_problem
. Parent Directory 19Jan-2008 1751 - Monty Hall readme.zip......Index of /archives/programs/zx81/monty_hall_problem. Name Last modified Size
http://mobileinventions.com/archives/programs/zx81/monty_hall_problem/
Index of /archives/programs/zx81/monty_hall_problem
Name Last modified Size Description ... Parent Directory 19-Jan-2008 17:51 - Monty Hall readme.zip 10-Nov-2007 14:25 23k monty hall.P 19-Jan-2008 17:54 1k monty.z81 10-Nov-2007 14:25 2k Apache/1.3.39 Server at mobileinventions.com Port 80

6. Monty_hall_problem « Rss2go
Cognitive Illusions EvolutionBlog. … have been discussing the reality of cognitive illusions. These are situations where people just don t reason
http://www.rss2go.net/topic/monty_hall_problem
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Welcome to RSS2GO - Your personal information assistant! pageTrackerAnalyser._trackPageview('/topic/page/1');
FeedItems If you feel the urge to send me spammail - Please use spam@junkmaildaily.com Thanks alot from Salzburg!

7. Robson » Code » PHP » Monty Hall Problem
function monty_hall_problem($output=1, $switch=1) . $success += monty_hall_problem(0, 0); // show how many have won echo round(($success / $max) * 100,
http://iceyboard.no-ip.org/projects/code/php/monty_hall_problem/
Robson Code PHP
I, the creator of this work, hereby release this into the
public domain. This applies worldwide.
In case this is not legally possible, I grant any entity
the right to use this work for any purpose, without any
conditions, unless such conditions are required by law.
- Robson
this script simulates the monty hall problem:
http://en.wikipedia.org/wiki/Monty_Hall_problem
1. it does one example with and without switching
2. then it does a large number with and without
switching and shows the results // seed the random number generator srand // output = whether to output information as the script runs // switch = whether to switch when the host shows a donkey function $output $switch // there are two donkeys and one car $prizes array 'donkey' 'donkey' 'car' // shuffle the prizes so they appear in a random order shuffle $prizes // print out the order if $output echo 'doors: ' implode $prizes // the player selects a random door $player $prizes // show the door the player picked and what is behind it if $output echo $player $prizes $player // now find a door with a donkey for the host do // choose random door for the host $host $prizes // check if the door isn't the players and contains a donkey // if not, continue selecting random doors until a valid one is found

8. Monty Hall Problem - Wikipedia, The... - StumbleUpon
pdturney pdturney discovered this in Statistics •8 reviews since Jul 22, 2005 icon tags stats, mathematics •en.wikipedia.org/wiki/monty_hall_problem
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pdturney discovered 33 months ago
good explanation of the apparently paradoxical Monty Hall problem InflatableSkull rated 4 months ago
One of the most intuitive riddles out there. It seems so easy, and yet... the answer that you think of first is rarely the right one.

9. Monty Hall Problem
A puzzle in probability that was inspired by the American game show Let s Make a Deal, hosted by Monty Hall. In its original form it goes like this at
http://www.daviddarling.info/encyclopedia/M/Monty_Hall_problem.html
MATHEMATICS A B C ... CONTACT
entire Web this site
Monty Hall problem
A puzzle in probability that was inspired by the American game show "Let's Make a Deal," hosted by Monty Hall. In its original form it goes like this: at the end of the show, you, the player, are shown three doors. Behind one of them is a new car, behind the other two are goats. Monty knows where the car is, but you don't. You choose a door. Before that door is opened however, Monty opens one of the two other doors with a goat behind it. He then gives you the option of switching to the other closed door. Should you switch or stick? At first glance, it seems as if it shouldn't make any difference. But the answer is surprising.
In another variation of the problem, consider that in the actual game show there were two contestants. Both of them were allowed to pick a door but not the same one. 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. Should the remaining player switch? The answer is no. The reason: a switcher in this game will lose if and only if either of two initial choices of the two contestants was correct. How likely is that? Two-thirds. A sticker will win in those 2/3 of the cases. So stickers will win twice as often as switchers.
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10. Rep Retirement Lodge Chapter 10 - TBA And Erin, Sitting In A Tree... [Archive] -
http//en.wikipedia.org/wiki/monty_hall_problem At one time in life, I may have agreed with you, but not now and definitely not this early in the morning.
http://board.uscho.com/archive/index.php/t-75419-p-30.html
USCHO.com Fan Forum Community USCHO Cafe Polls ... PDA View Full Version : Rep Retirement Lodge Chapter 10 - TBA and erin, sitting in a tree... Pages : Brenthoven 02-04-2008, 11:57 PM For RalphPa. And probably not melmac. ;) :D
I was searching around for the +EV discussion about "Deal Or No Deal," and found the following. It made my head hurt just as much as the first time I heard about this:
http://en.wikipedia.org/wiki/Two_envelopes_problem
Edit: here's a sample of the DOND thing I was looking for:
http://www.davegentile.com/stuff/Deal_or_no_deal.html Twitch Boy 02-05-2008, 12:15 AM For RalphPa. And probably not melmac. ;) :D
I was searching around for the +EV discussion about "Deal Or No Deal," and found the following. It made my head hurt just as much as the first time I heard about this:
http://en.wikipedia.org/wiki/Two_envelopes_problem
Edit: here's a sample of the DOND thing I was looking for:
http://www.davegentile.com/stuff/Deal_or_no_deal.html
http://www.youtube.com/watch?v=TUee1WvtQZU
Tech at one point had a game theory class. If it surfaces again, I want to take it.

11. Monty Hall Problem - Wikipedia
Monty Hall problem. The Monty Hall problem is a riddle in elementary probability that arose from the American game show Let s make a deal with host Monty
http://facetroughgemstones.com/wikipedia/mo/Monty_Hall_problem.html
Office Supplies Buy Posters A-Z Products Website Advertising ...
Monty Hall problem
The Monty Hall problem is a riddle in elementary probability that arose from the American game show "Let's make a deal" with host Monty Hall[?] . The problem's main claim to fame is that after its solution was discussed in Marylin vos Savant's "Ask Marylin" question-and-answer column of Parade magazine in 1990, many readers including several math professors wrote in to declare that her solution was wrong. The problem is as follows: At the end of the show, a player is shown three doors. Behind one of them, there's a prize for him to keep, while the other two contain goats (signifying no prize to be won). Although the show host knows what is behind each door, of course the player does not. After the player makes a first choice, Monty opens one of the two other doors, revealing a goat. He then offers the player the option to either stick with the initial choice or switch to the other closed door. Should the player switch? The classical answer to this problem is yes , because the chances of winning the prize are twice as high when the player switches to another door than they are when the player sticks with their original choice. This is because upon the original choice, the player has only a 1/3 chance of choosing the door with the prize; this probability does not change when Monty opens a door with a goat. Hence the chances of winning the prize are 1/3 if the player sticks to their original choice, and thus 2/3 if the player switches.

12. Do You Think You Think Rationally? Free Dating, Singles And Personals
http//en.wikipedia.org/wiki/monty_hall_problem Oh and night does follow day in most circumstances except at the North Pole for a while, when night follows
http://forums.plentyoffish.com/7548125datingPostpage2.aspx
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Posted: 6/14/2007 1:56:44 PM ok think of it like this, you make a choice at the start, you got a 33% chance of being correct. If you stick with this decision you will always have an overall 33% chance of winning as the host reveals the doors one at a time. Since the host always reveals a booby prize as the first door they open, you now know that you should never pick this door, so you still have 33% chance of being correct (as you picked 1 out of the 3 doors) and the one remaining door must have 66% chance of being the right one.
If that doesnt explain it then theres a big explanation here http://en.wikipedia.org/wiki/Monty_Hall_problem

13. For All AV Forums' Mathematicians! [Archive] - AVForums
My favourite example of this is the Monty Hall problem (http//en.wikipedia. org/wiki/monty_hall_problem).NOT the Monty Hall Problem, please, too painful!
http://www.avforums.com/forums/archive/index.php/t-588210.html

AVForums
Non-AV Related Topics General Chat PDA View Full Version : For all AV Forums' Mathematicians! 07-07-2007, 2:05 PM Hi
Just been told a problem and I don't have a clue how to go about it. I have basic knowledge of probability (GCSE A Grade), but apparently this is an A level question. Can anyone tell me how it's done?
"How many people have to be in a room before the probability of two of them sharing the same birthday is more than 0.5?"
(This question must assume that the probability of being born on a certain date is always 1/365, or 1/365.25 to be precise?)
Cheers
Jezzer 07-07-2007, 3:15 PM You need factorial 365 and out it over somethine. But the answer is 23. andyk 07-07-2007, 3:48 PM A (very) quick google turns up this:
http://www.csicop.org/si/9809/coincidence.html
It is 23 and it's explained pretty well here njp 07-07-2007, 3:54 PM http://mathforum.org/dr.math/faq/faq.birthdayprob.html 07-07-2007, 10:13 PM You need factorial 365 and out it over somethine. But the answer is 23.
What was I smoking then? That doesn't make a whole lot of sense. Anyway what I meant to say was you need to factorial 365 and have it over (as in divide) 365.

14. Discover From Your Favorite Topic Or Web Page: En.wikipedia.org/wiki/Monty_Hall_
Enter a topic or web address, discover more related. All Bookmarks Log In Register Submit Your Site Discover From. Google, Enter your search terms
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Discovered Topics math probability puzzle mathematics ... Monty Hall problem - Wikipedia, the free encyclopedia http://en.wikipedia.org/wiki/Monty_Hall_problem math fun statistics wikipedia ... xkcd - A webcomic of romance, sarcasm, math, and language - By Randall Munroe http://xkcd.com/ comic comics art funny ... Polymathematics: No, I'm Sorry, It Does. http://polymathematics.typepad.com/polymath/2006/06/no_im_sorry_it_.html mathematics blogs math numbers ... Unsolved problems in mathematics - Wikipedia, the free encyclopedia http://en.wikipedia.org/wiki/Unsolved_problems_in_mathematics mathematics math unsolved wikipedia ... Magic Number Machine scientific calculator - The Unofficial Apple Weblog (TUAW) http://www.tuaw.com/2007/04/06/magic-number-machine-scientific-calculator/ software mac opensource calculator ... Math Gems http://thinkzone.wlonk.com/MathGems/MathGems.htm

15. Some Thoughts About Monty Halls. [Archive] - EBaum's World Forum
Right so I came across a problem in one of these threads called the Monty Halls problem (http//en.wikipedia.org/wiki/monty_hall_problem).
http://forum.ebaumsworld.com/archive/index.php/t-177503.html
eBaum's World Forum Everything/Nothing PDA View Full Version : Some thoughts about Monty Halls. fLinch 12-27-2006, 08:33 PM You may not take any interest in this because it'll be my first post....but I've been reading the forums for a while KAY? Anyway...I was reading one of those .9999 = 1 threads and kinda ended up having discussions about it with a friend. I'm one of the logical thinkers and agree with the proofs, thats to say, the proofs that dont go into too much detail about the particulars of higher mathematics; I'm talking about the ones that are understood by just thinking logically OK? Right so I came across a problem in one of these threads called the Monty Halls problem (http://en.wikipedia.org/wiki/Monty_Hall_problem).
GO! FonsecaWalls 12-27-2006, 08:55 PM It's called a paragraph, try using it glytch 12-27-2006, 09:13 PM You may not take any interest in this because it'll be my first post....but I've been reading the forums for a while KAY? Anyway...I was reading one of those .9999 = 1 threads and kinda ended up having discussions about it with a friend. I'm one of the logical thinkers and agree with the proofs, thats to say, the proofs that dont go into too much detail about the particulars of higher mathematics; I'm talking about the ones that are understood by just thinking logically OK? Right so I came across a problem in one of these threads called the Monty Halls problem (http://en.wikipedia.org/wiki/Monty_Hall_problem).
GO!

16. Can Anyone Get This Tricky Math Problem? [Archive] - Mac Forums
Mathematically is there a probability increase that benefits you if you change doors? Yes, very much so (http//en.wikipedia.org/wiki/monty_hall_problem).
http://forums.macrumors.com/archive/index.php/t-430486.html

Mac Forums
Mac Community Community Discussion PDA View Full Version : Can anyone get this tricky math problem?
Frisco 02-08-2008, 07:47 PM Just for fun, not for class. I can't get it.
Good luck with this and have fun! This is a 5th grade math problem.
If you can't stand word math problems, just delete now. If you can open the
spreadsheet, you'll see it's a very small list of people who have gotten
the correct number. This is not a trick question. This is a real math
problem so don't say that a bus has no legs.
There are 7 girls in a bus
Each girl has 7 backpacks
In each backpack, there are 7 big cats For every big cat there are 7 little cats Question: How many legs are there in the bus? The number of legs is the password to unlock the Excel sheet. (Do not have to spell out #) If you open it. Spreadsheet (http://download.yousendit.com/4203F053791CD089) 02-08-2008, 07:51 PM This is sketchy! Frisco 02-08-2008, 07:52 PM This is sketchy! Dude no spam here! Nermal 02-08-2008, 07:53 PM Easy :) 02-08-2008, 07:53 PM Answer this question honestly...

17. Algorithm Implementation/Simulation/Monty Hall Problem - Wikibooks, Collection O
Retrieved from http//en.wikibooks.org/wiki/Algorithm_implementation/Simulation/ monty_hall_problem . Subject Algorithms
http://en.wikibooks.org/wiki/Algorithm_implementation/Simulation/Monty_Hall_prob
Algorithm implementation/Simulation/Monty Hall problem
From Wikibooks, the open-content textbooks collection
Algorithm implementation Simulation Jump to: navigation search Wikipedia has related information at Monty Hall problem
edit Python
edit ... Visual Basic
Retrieved from " http://en.wikibooks.org/wiki/Algorithm_implementation/Simulation/Monty_Hall_problem Subject Algorithms Views Personal tools Navigation Community Search Toolbox

18. Gravy At Ground Zero [Archive] - JREF Forum
Someone asked on the LC forum about the Monty Hall Problem (http//en.wikipedia. org/wiki/monty_hall_problem). PDoh got it wrong, of course,
http://forums.randi.org/archive/index.php/t-69482.html
JREF Forum General Topics Conspiracy Theories PDA View Full Version : Gravy at Ground Zero JamesB 27th November 2006, 09:57 PM 911 Blogger has some video up of the truthers at Ground Zero. It is mostly of Gravy (if that is your real name) and then of them harassing a tv news crew. Mark, you look great, but as a longtime Husky you really need to lose the Cal hat. :D
http://911blogger.com/node/4688 chippy 27th November 2006, 10:00 PM Mark Roberts is my new favorite person ever. Oliver 27th November 2006, 10:09 PM Mark Roberts is my new favorite person ever.
PAH! chippy 27th November 2006, 10:25 PM PAH!
Pah what? At least he doesn't sound like he has laryngitis like Alex Jones does, nor does he make all kinds of unnecessary facial expressions to make what he is saying seem incredibly important like Alex Jones does.
I mean, I'm not saying that you like Alex Jones, and I'm sure you don't. I just never pass up an opportunity to rip on him. That's all. See, I even did it in my reason for editing! 27th November 2006, 10:28 PM haha, it's sad if you look at the comments. Just because someone shuts down "Truth Movement" members, they must be in the CIA!

19. How To Kill Time...: Math: The Monty Hall Problem.
http//en.wikipedia.org/wiki/monty_hall_problem but i still have one doubt. if there were 4 doors n 2 doors were found to hav goats wats the probability
http://howtokilltime.blogspot.com/2006/08/math-monty-hall-problem.html
@import url("http://www.blogger.com/css/blog_controls.css"); @import url("http://www.blogger.com/dyn-css/authorization.css?targetBlogID=30801430");
How to kill time...
Thursday, August 17, 2006
Math: The Monty Hall Problem.
This past Tuesday couple of my colleagues at work asked me to solve a math Problem(Everybody is starting to think that I'm smart :)). The question went like this..
"Suppose you're on a game show, and you're given the choice of three doors. Behind one door is a car, behind the others, goats. You pick a door, say #1, and the host, who knows what's behind the doors, opens another door, say #3, which has a goat. He says to you, "Do you want to pick door #2?" Is it to your advantage to switch your choice of doors?"
PAUSE. Try solving the problem before reading further.
Smeagol: No, I wont cos the chances are 50-50.
Colleagues: No! Your wrong.
Right answer: You switch so the probability of winning is 2/3.
They tried to explain why I was wrong while they themselves did not understand the answer.
The answer is quiet intriguing cos when you pick a door in the first place, you think it has the car behind it. When the host opens the second door(knowing whats behind all the doors) which has a goat, you knock it out of your probability of winning and think you only have two doors to choose from. But the fact of the matter is when the host had to open one of the two doors that are left, he knew exactly which one to open so the goat shows up. So the other which he did not open holds the highest probablitiy of having the car behind.

20. Fan Rush Forums - The "math For Dummies" Game Show
Wikipedia (http//en.wikipedia.org/wiki/monty_hall_problem) attributes the following, more precise formulation to Mueser and Granberg
http://www.fanrush.com/forums/archive/index.php/t-3621.html

Fan Rush Forums
Television NUMB3RS.org NUMB3RS Math Forum > The "math for dummies" game show PDA View Full Version : The "math for dummies" game show 05-03-2006, 08:08 AM Well, I'm not afraid to admit that I must be worse than a dummy. I still don't get it. I saw the clip where Charlie is using a game show example to teach about probabilities. I read a blog where a mathemetician explained it, and I still don't get it.
If you have a choice of 3 doors, one with a car and 2 with goats, and you select the middle door, and the game show host reveals the right hand door has a goat behind it, I don't see why you're better off switching your choice to the left hand door.
The car is going to be where it is no matter what you choose. If I switch my choice, the car is still where it was when I had 3 doors to choose from. Same if I don't switch my choice.
So, what am I missing? Or is this just the kind of trick experts play on non-experts so they can laugh at them?
Now I see why my enjoyment of math stuff stopped at algebra and geometry. I don't get the theortical stuff.
JOanne TTn 05-03-2006, 08:16 PM

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