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The Science of HwaTu Card Shuffling

화투 섞기의 과학

Huh, Myung-Hoe;Lee, Yong-Goo
허명회;이용구

  • Received : 20100800
  • Accepted : 20100900
  • Published : 2010.12.31

Abstract

We describe shuffling process of 48 HwaTu(Flower) cards from a mathematical aspect and give the number of shuffles that are needed to arrive at a state of randomness. We observe that the cards are shuffled much less times in usual plays, that results in much riskier outcomes.

Keywords

Card shuffling;random permutations;Poisson distribution;HwaTu Cards

References

  1. 허명회, 이용구 (2010). 유한 순서열의 임의화, <응용통계연구>, 23, 189–196. https://doi.org/10.5351/KJAS.2010.23.1.189
  2. Bayer, D. and Diaconis, P. (1992). Trailing the dovetail shuffle to its lair, Annals of Applied Probability, 2, 294–313.
  3. Kenney, J. F. and Keeping, E. S. (1962). Mathematics of Statistics, Part 1, 3rd Edition, Princeton, New Jersey Van Nostrand, p.266.