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.