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6.R References

  1. H. Sagan, Math. Mag., vol. 54, no. 1 (1981), pp. 3-10.

  2. Quoted in F. N. David, (London: Griffin, 1962), p. 231.

  3. C. Huygens, translation attributed to John Arbuthnot (London, 1692), p. 34.

  4. ibid., p. 35.

  5. ibid., p. 47.

  6. Quoted in I. Hacking, (Cambridge: Cambridge Univ. Press, 1975).

  7. ibid., p. 108.

  8. ibid., p. 109.

  9. E. Halley, “An Estimate of The Degrees of Mortality of Mankind," vol. 17 (1693), pp. 596–610; 654–656.

  10. E. Thorp, (New York: Random House, 1962).

  11. P. Diaconis and R. Graham, “The Analysis of Sequential Experiments with Feedback to Subjects," vol. 9 (1981), pp. 3–23.

  12. J. F. Box, (New York: John Wiley and Sons, 1978).

  13. E. Thorp, (New York: Random House, 1962).

  14. W. Feller, 3rd ed., vol. 1 (New York: John Wiley and Sons, 1968), p. 240.

  15. H. Schultz, “An Expected Value Problem," vol. 10, no. 4 (1979), pp. 277–78.

  16. W. Feller, Introduction to Probability Theory, vol. 1, p. 166.

  17. B. Pittel, Problem #1195, vol. 58, no. 3 (May 1985), pg. 183.

  18. J. Propp, Problem #1159, vol. 57, no. 1 (Feb. 1984), pg. 50.

  19. H. Shultz and B. Leonard, “Unexpected Occurrences of the Number \(e\)," vol. 62, no. 4 (October, 1989), pp. 269-271.

  20. Private communication.