“Pass the Buck” on a Rooted Tree
Kenneth M. Levasseur · Mathematics Magazine · 2023
SummaryThe Stochastic Abacus can be employed to compute winning probabilities for each vertex of a rooted tree in the game “Pass the Buck,” with the starting vertex being the root of the tree. For all but the simplest trees, the abacus cannot really be implemented due to the large number of steps needed for completion. In this paper, a technique for anticipating the outcome is introduced.