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Article #743

looking for article on loaded dice

#743
From: Jim Hoste
Date: Tue, 15 Dec 1992 23:34
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Next semester I will be teaching an elementary probability class  
structured around the theme of games and gambling. I want to include some  
material on loaded dice. Surely someone has worked out the physics of  
rolling a die (in the shape of a cube) whose center of mass is not in the  
center of the die. What are the probablities of landing on the various  
faces as a function of the location of the center of mass? The same  
question can be asked for dice in the shape of other polyhedron,  
homogenious or not. 
	I am also interested in the following related question:
Can one create a die having n faces where the probability of landing on  
each of the faces is given in advance?  This is certainly true if *die* is  
interpreted fairly loosely. Somebody must have worked this out already.
	Can anyone recommend any good articles on these topics?
	I will summarize the replies that I receive.
	Thanks, Jim Hoste

ps I am also posting to:
	rec.gambling
	sci.math
	sci.physics
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Message-ID: <1992Dec15.233405.2306@muddcs.claremont.edu>
Path: arc1-ca.pugleaf.net!sparky!uunet!news.claremont.edu!news

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Newsgroups: sci.math.stat
Path: arc1-ca.pugleaf.net!sparky!uunet!news.claremont.edu!news
From: jhoste@kuju.claremont.edu (Jim Hoste)
Subject: looking for article on loaded dice
Message-ID: <1992Dec15.233405.2306@muddcs.claremont.edu>
Keywords: probability, dice, loaded dice
Sender: news@muddcs.claremont.edu (The News System)
Organization: Harvey Mudd College, Claremont, CA 91711
Date: Tue, 15 Dec 1992 23:34:05 GMT
Lines: 20