Clarifying the Language of Chance Using Basic Conditional Probability Reasoning: The Monty Hall Problem

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References

[1] J. Mestre, “Hispanic and Anglo Students’ Misconceptions in Mathematics,” ERIC Digest, 1989.

[2] K. Abouchedid and R. Nasser, “The Role of Presentation and Response Format in Understanding, Preconceptions and Alternative Concepts in Algebra Problems,” Notre Dame University, Lebanon, 2000.

[3] L. Wittgenstein, “Remarks on the Foundations of Mathematics,” Revised Edition, MIT Press, Cambridge, 1983.

[4] E. Barbean, “Fallacies, Flaws, and Flimflam,” The College Mathematics Journal, Vol. 24, No. 2, 1993, pp. 149-154.

[5] C. M. Grinstead and J. L. Snell, “Introduction to Probability,” 2nd Edition, American Mathematical Society, Providence, 1998.

[6] M. vos Savant, “Ask Marilyn Column,” Parade Magazine, September 2, 1990, p. 14.

[7] M. vos Savant, “Ask Marilyn Column,” Parade Magazine, December 2, 1990, p. 28.

[8] American College of Physicians—American Society of Internal Medicine, “Compendium of Primers,” Effective Clinical Practice, Vol. 3, No. 3, 2000, p. 2.

[9] M. Hilger, “Texas Hold’em Odds and Probabilities: Limit, No Limit, and Tournament Strategies,” 1st Edition, Dimat Enterprises, Inc., Duluth, 2006.

[10] C. Darwin, “On the Origin of Species, the Illustrated Edition,” Sterling Publishing, New York, 2008.

[11] M. Born, “Physics in My Generation,” Springer-Verlag, New York, 1969.

[12] B. Greene, “The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory,” W. W. Norton & Company, New York, 2003.