• Title/Summary/Keyword: Yut distribution

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A study on probability of the Korean board game Yut (윷놀이와 확률)

  • Oh, Chang-Hyuck
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.4
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    • pp.719-727
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    • 2010
  • In this study, the Korean traditional board game Yut, is considered. We clarify the definition of yut, object being cast, from investigating shapes of various types of yut. We survey some previous researches on probabilities for the board game Yut. To define goodness of yut, we define probabilistic order for Sawi and determine order of Sawi according to the probability of each yut. For the probability distribution of Sawi, Yut binomial distribution is defined and its mean and variance are calculated. We calculate the expected advancing distance of horse or mal for a player in each of her or his turn. Two indices are suggested for the goodness of yut and probabilities are found for good yut according to these indices and probabilistic order of Sawi. Here it is assumed that four yuts do not need to be all the same. Also some suggestions are given for the standardization of yut in terms of shape and probability.

A study on the distribution of the distance of Mal movement in Yut board game (윷놀이에서 말이 가는 거리의 분포)

  • Kim, Do-Hyeong;Oh, Chang-Hyuck
    • Journal of the Korean Data and Information Science Society
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    • v.21 no.6
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    • pp.1281-1288
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    • 2010
  • We consider Yut board game with four Yut sticks which are of the same shape and the same size so that they have the same probability of showing back when they are tossed. Since, in Yut board game, a player have to toss four sticks one more when sawi Mo or sawi Yut appears, the player may be interested in the distance which Mal can move in one's turn. Therefore, the probability mass function of the distance is obtained and probabilities with several values of back probability are summarized in a table. Also, the expectation, the variance, the skewness, and the kurtosis of the distribution are calculated and their values are also tablized for some values of back probability.