# Pass the Buck on a Complete Binary Tree

## TL;DR

This paper uses the Stochastic Abacus to calculate winning probabilities in the game Pass the Buck on complete binary and k-ary trees, providing a probabilistic analysis framework for such tree-based games.

## Contribution

It introduces a novel application of the Stochastic Abacus to analyze game outcomes on complete k-ary trees, extending previous binary tree results.

## Key findings

- Winning probabilities computed for each level of the game
- Generalization from binary to k-ary trees
- Framework for probabilistic analysis of tree-based games

## Abstract

The Stochastic Abacus is employed to compute winning probabilities at each level of the game Pass the Buck on a complete binary tree with the starting vertex being the root of the tree. The derivation is also generalized to play on complete k-ary trees.

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Source: https://tomesphere.com/paper/1906.10299