DOI QR코드

DOI QR Code

The Science of HwaTu Card Shuffling

화투 섞기의 과학

  • 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.

48장의 화투패가 섞어지는 과정을 수학적으로 기술하고 그것이 완전히 섞여지기 위해서 몇 번을 반복해 쳐야 하는가에 대한 답을 제시한다. 또한 그보다 작은 횟수로 치는 경우 예상되는 불완전한 임의성의 형태를 밝힌다.

Keywords

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.