Left, Center, Right is a popular dice game. We analyze the game using Markov chain and Monte Carlo methods. We compute the expected game length for two to eight players and determine the probability of winning for each player in the game. We discuss the surprising conclusions of which players have the highest and lowest chance of winning, and we propose a small rule change that makes the game a little more fair.

翻译：《左、中、右》是一款流行的骰子游戏。我们使用马尔可夫链和蒙特卡洛方法对该游戏进行分析。我们计算了二至八名玩家参与时的预期游戏时长，并确定了游戏中每位玩家的获胜概率。我们讨论了哪些玩家具有最高和最低获胜概率这一令人惊讶的结论，并提出了一项微小的规则调整，以使游戏变得更加公平。