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Jason Rosenhouse received his PhD in mathematics from Dartmouth College in 2000. He subsequently spent three years as a post-doc at Kansas State University. Observing the machinations of the Kansas Board of Education led to his unhealthy obsession with issues related to evolution and creationism. Currently he is an Associate Professor of Mathematics at James Madison University, in Harrisonburg, VA.


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« Haught on Science and Faith | Main | Monty Hall and Interpretations of Probability »

Monty Hall and Heroin Addiction

Category: Mathematics
Posted on: December 19, 2007 1:45 AM, by Jason Rosenhouse

Meanwhile, the big Monty Hall book is slowly coming together. It seems like every day I discover new technical articles on the subject. Recently I thought to search through the PubMed database, looking for any articles that might have eluded the various other searches I have done. Most of the articles that came up were ones I already had in my file, but there were a few others that were new to me. I quickly rounded them up.

Then I noticed an article entitled, “Eye Movement Responses of Heroin Addicts and Controls During Word and Object Recognition,” published in the journal Neuropharmacology in 1975. This, recall, in a search on “Monty Hall.” I was intrigued. The abstract was little help; it described certain experiments on the sensory capacity of heroin addicts. So why did my search turn up this paper?

And that's when I noticed that the first author on the paper was named R. A. Monty. The second? R. J. Hall. Mystery solved.

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Comments

1

Oh man! It would have been so cool if you had been able to apply insights form the Monty Hall problem to neurology...

Well, other surprising applications no doubt will surface, in the fullness of time.

Posted by: Valhar2000 | December 19, 2007 4:57 AM

2

Any idea when the book might be finished? You would not believe what happened at my brother's place over Thanksgiving. I brought up the Monty Hall problem as a prelude to a discussion about the upcoming presidential election (things are not quite what they appear to be, etc).

When I told the assembled family that the odds of winning after the switch was 2/3...hoo, boy!

I think I am still in the will. I hope.

I would love a signed copy, Jason!

Posted by: BobbyEarle | December 19, 2007 9:31 AM

3

Valhar2000-

That was exactly my reaction when I saw the citation! As for surprising applications, just wait for the book.

BobbyEarle-

Theoretically the first draft of the book is due January 1. I'm not likely to make that deadline, though hopefully I won't miss it by much. I don't know when it will actually be published, though.

As for your family squabble, that happens a lot! As I discuss early on in the book, what is remarkable about the Monty Hall problem is not simply that people find it difficult to grasp, but that they get really angry about it when you try to explain it properly.

Posted by: Jason Rosenhouse | December 19, 2007 2:22 PM

4

An illustration of the MHP that I have never seen but that I think would be very effective is this.
Let Monty give you two choices:
1) you pick one door and he opens another door with a crappy prize.
2) you pick two doors and he opens one with a crappy prize.
'1' is equivalent to not switching, '2' is equivalent to switching.

Posted by: Don Cates | December 20, 2007 1:08 AM

5

That's searches and search engines for you! I think someone could make a cool Million $s if they could publish a book on the most absurd, ridiculous and ludicrous returns people have gotten during searches! Those search algorithms certainly have an astronomical mystique to them sometimes!
Dave Briggs :~)

Posted by: Dave Briggs | December 21, 2007 11:18 AM

6

One last time(in case you haven't already seen this):

http://en.wikipedia.org/wiki/Principle_of_restricted_choice_(bridge)

Posted by: JimV | December 21, 2007 1:23 PM

7

happy solstice everyone!

may the days get longer, not shorter!

Posted by: Kaven | December 24, 2007 1:12 PM

9

This is only a little off-topic. Have you ever noticed that when Solomon Golomb publishes papers with Steven G. Bloom, they sign their names, "S.Golomb and S.G. Bloom". Can you guess why? Hint: Golomb likes word games.

Posted by: Dom | January 4, 2008 12:28 PM

10

Oh man! It would have been so cool if you had been able to apply insights form the Monty Hall problem to neurology...

Posted by: Serkan ÇUBUKÇU | May 10, 2008 1:48 PM

11

thanks

Posted by: D_E_R_M_A_N | February 14, 2009 3:56 PM

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