Statistics and Probability - Dice

 

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 Code Number :   1A20.25

Disclaimer:

Reprinted by permission of Dick Berg, University of Maryland, for use on this website.

The demonstrations contained and referenced herein are listed for the purposes of cataloging and describing physics demonstrations which should be conducted only under the direction of a trained instructional support professional or physicist. These demonstrations are not presented for the purpose of being conducted by persons unconnected to this Facility and/or persons not consulting with or being supervised by the recognized instructional support professional or physicist and his/her staff. The University is responsible only for those demonstrations carried out using its own equipment using established safety and scheduling policies, and bears no responsibility for those choosing to use this source material for their own purposes. All demonstrations described and contained herein are public domain, and can also be found in reference materials in libraries, bookstores, and electronic sources.

Further information regarding legal liability in use of demonstrations and labs will be found on the web site Injuries in School/College Laboratories in USA.

The University of Iowa Disclaimers:  University of Iowa Disclaimer All Rights Reserved.
Condition :   Good  
Principle :   Units of Measure   
Area of Study :  Mechanics  
Equipment :   Pairs of dice - Plexiglas and Cloth.
Procedure :   Roll the dice and add the numbers together and then record.  A Gaussian distribution should be observed after multiple runs, with the number 6 having the most hits and the numbers 2 and 12 having the least.
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   References

Sergio Fantini and Jeffrey C. Grossman, "How Likely Is It Two Classmates Have the Same Birthday?", TPT,  Vol. 35, # 1, Jan. 1997, p. 42.

Patricia F. Bronson and Robert L. Bronson, "Dice with Parallelepiped Shapes", TPT, Vol. 28, # 5, May 1990, p. 286.

 

John Burke and Eric Kincanon,  "Benford's Law and Physical Constants: The Distribution of Initial Digits,"  AJP, Vol. 59, No. 10, October 1991.

Don S. Lemons,  "On the Numbers of Things and the Distribution of First Digits,"  AJP, Vol. 54, No. 9, September 1986.

 

M- 010:  "Distribution of First Digits,"  DICK and RAE Physics Demo Notebook.

 

Joseph Ford, "How Random is a Coin Toss?", Physics Today, April 1983, p. 40- 47.

Robert Ehrlich, "Spinning a Penny," Why Toast Lands Jelly-Side Down, p. 72-73.

John F. Ross,  "Discovering the Odds,"  How it Works - Science Supplement, p. 181, (Spring 2001).

"Mathematics,"  How it Works - Science Supplement, p. 296, (Spring 2001).

Neil. A. Downie, "Motor Dice", Ink Sandwiches, Electric Worms and 37 Other Experiments for Saturday Science, p. 176.



Mail Questions and Comments to:  Dale Stille