# Using Symbolic Computation to analyze some Children's Board Games

**Authors:** Shalosh B. Ekhad, Doron Zeilberger

arXiv: 1907.09132 · 2019-07-23

## TL;DR

This paper introduces a simplified, intuitive symbolic computation method for analyzing children's board games, making complex probabilistic analysis accessible to a broader age range and improving efficiency over traditional Markov chain approaches.

## Contribution

The paper presents a novel symbolic computation approach for analyzing children's board games, offering a more accessible and efficient alternative to Markov chain analysis.

## Key findings

- Provides a simpler analysis method suitable for teenagers.
- Achieves more efficient computation compared to Markov chains.
- Enhances understanding of game probabilities through symbolic methods.

## Abstract

In a delightful article that recently appeared in Mathematics Magazine, David and Lori Mccune analyze the board game "Count Your Chickens!", recommended to children three and up. Alas, they use the advanced theory of Markov chains, that presupposes a knowledge of linear algebra, that few three-years-olds are likely to understand. Here we present a much simpler, more intuitive, approach, that while unlikely to be understood by three-year-olds, will probably be understood by a smart 14-year-old. Moreover, our approach accomplishes much more, and is more efficient. It uses symbolic, rather than numeric computation.

## Full text

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Source: https://tomesphere.com/paper/1907.09132