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From Unequal Chance to a Coin Game Dance: Variants of Penney’s Game Cover

From Unequal Chance to a Coin Game Dance: Variants of Penney’s Game

Open Access
|Oct 2021

References

  1. [Fli20] Isha Agarwal, Matvey Borodin, Aidan Duncan, Kaylee Ji, Tanya Khovanova, Shane Lee, Boyan Litchev, Anshul Rastogi, Garima Rastogi, and Andrew Zhao. “The No-Flippancy Game.” math.CO arXiv:2006.09588 (2020).
  2. [WW04] Elwyn R. Berlekamp, John H. Conway and Richard K. Guy. Winning Ways for your Mathematical Plays, 2nd Edition, Volume 4. AK Peters (2004), p. 885.
  3. [Col82] Stanley Collings. “Coin Sequence Probabilities and Paradoxes.” Bulletin of the Institute of Mathematics and its Applications 18 (1982): 227–232.
  4. [Fel06] Daniel Felix. “Optimal Penney Ante Strategy via Correlation Polynomial Identities.” Electr. J. Comb. 13(1) (2006).10.37236/1061
  5. [MGS74] Martin Gardner. “Mathematical Games.” Scientific American, 231(4), (1974): 120–125.10.1038/scientificamerican0774-116
  6. [MGT88] Martin Gardner. Time Travel and Other Mathematical Bewilderments. W. H. Freeman, 1988.
  7. [GO81] L.J. Guibas and A.M. Odlyzko. “String Overlaps, Pattern Matching, and Nontransitive Games.” J. Combin. Theory Ser. A, 30, No. 2 (1981): 183–208.10.1016/0097-3165(81)90005-4
  8. [HN10] Steve Humble and Yutaka Nishiyama. “Humble-Nishiyama Randomness Game — A New Variation on Penney’s Coin Game.” Math. Today 46, No. 4 (2010): 194–195.
  9. [Pen69] Walter Penney. Journal of Recreational Mathematics, October 1969, p. 241.
  10. [Val17] Robert W. Vallin. “A sequence game on a roulette wheel, The Mathematics of Very Entertaining Subjects.” Research in Recreational Math, Volume II (2017). Princeton University Press.10.23943/princeton/9780691171920.003.0016
Language: English
Page range: 19 - 38
Published on: Oct 22, 2021
Published by: Ludus Association
In partnership with: Paradigm Publishing Services
Publication frequency: 2 issues per year

© 2021 Isha Agarwal, Matvey Borodin, Aidan Duncan, Kaylee Ji, Shane Lee, Boyan Litchev, Anshul Rastogi, Garima Rastogi, Andrew Zhao, Tanya Khovanova, published by Ludus Association
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.