Subscribe
Subscribe
MY AMERICAN SCIENTIST
LOG IN! REGISTER!
SEARCH
 
Logo IMG
HOME > ON THE BOOKSHELF > COMMENTS > Comment Detail

Programs and Probabilities


Comment

Dear Brian Hayes,
thank you for this helpful review as well as for your highly interesting regular column Comp Sci.

A lot has been written about the Monty Hall affair, however I haven't yet heard of a convincing solution that doesn’t rely on statistical reasoning but logical ones. Here is my attempt:
First it is to be realized that—according to the puzzle's concept—there are restrictions concerning the door(s) Monty Hall is allowed to open:
Neither does he open the door that hides the prize nor the one chosen by the subject.

With this in mind, three situations are to be considered:
1) If the subject initially chooses the door that hides the prize, then of course switching would not be advisable.
2), 3) If the subject initially chooses one of the two other doors, then switching the doors would be advisable. (These are the two situations in which Monty Hall has no choice of which door he opens.)

Consequently, in two of three situations switching is successful.

With best regards
Helmut Glunder

posted by Helmut Gluender
July 2, 2008

 

Connect With Us:

Facebook Icon Sm Twitter Icon Google+ Icon Pinterest Icon RSS Feed

Sigma Xi/Amazon Smile (SciNight)


Latest Multimedia

Alvin Sub

Happy Birthday to Alvin! August 2014 marks the 50th anniversary of Alvin, the submersible that has been so influential in ocean research, including the discovery of hydrothermal vents. In 2014, a retrofitted Alvin also took its first test cruise.

Heather Olins, a doctoral candidate at Harvard, studies microbial ecology at deep sea hydrothermal vents with the help of Alvin, and shares her personal tribute to the submersible on these landmark occasions.

To view all multimedia content, click "Latest Multimedia"!


Subscribe to Free eNewsletters!

  • Sigma Xi SmartBrief:

    A free daily summary of the latest news in scientific research. Each story is summarized concisely and linked directly to the original source for further reading.

  • American Scientist Update

  • An early peek at each new issue, with descriptions of feature articles, columns, Science Observers and more. Every other issue contains links to everything in the latest issue's table of contents.

  • Scientists' Nightstand

  • News of book reviews published in American Scientist and around the web, as well as other noteworthy happenings in the world of science books.

    To sign up for automatic emails of the American Scientist Update and Scientists' Nightstand issues, create an online profile, then sign up in the My AmSci area.


Subscribe to American Scientist