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97.16 Probability analysis for rolls of a square cuboidal die

Published online by Cambridge University Press:  23 January 2015

Carl Mungan
Affiliation:
Physics Dept., U.S. Naval Academy, Annapolis, MD 21402 USA
Trevor Lipscombe
Affiliation:
Catholic University of America Press, Washington, D.C. 20064 USA

Abstract

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Type
Notes
Copyright
Copyright © The Mathematical Association 2013

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References

1. Budden, F., Throwing non-cubical dice, Math. Gaz. 64, (October 1980) pp.196198.CrossRefGoogle Scholar
2. Singmaster, D., Theoretical probabilities for a cuboidal die, Math. Gaz. 65, (Oct. 1981) pp. 208210.Google Scholar
3. Tipler, P. A. and Mosca, G., Physics for scientists and engineers, 6th edn. (W.H. Freeman, NY, 2008) Sec. 12-5.Google Scholar
4. Bondi, H., The dropping of a cylinder, Eur. J. Phys. 14, (May 1993) pp. 136140.Google Scholar
5. Heilbronner, E., Crooked dice, J. Recreational Math. 17, (1984-1985) pp.177183.Google Scholar
6. Levin, E. M., Experiments with loaded dice, Am. J. Phys. 51, (Feb. 1983) pp. 149152.Google Scholar
7. White, G., An idea for introducing students to statistical mechanics: dice-landing probabilities, Presentation FD01 at the Winter Meeting of the American Association of Physics Teachers, Jackonsville FL (Jan. 2011). Online at http://www.spsnational.org/about/director/Dice_Landing_Probabilities.pdf Google Scholar
8. Murray, D. B. and Teare, S. W., Probability of a tossed coin landing on edge, Phys. Rev. E 48, (Oct. 1993) pp. 25472552.Google Scholar
9. Yong, E. H. and Mahadevan, L., Probability, geometry, and dynamics in the toss ofa thick coin, Am. J. Phys. 79, (Dec. 2011) pp. 11951201.Google Scholar