First and Last Name/s of Presenters

Francesca DanieleFollow

Mentor/s

Dr. Elizabeth Tripp

Participation Type

Poster

Abstract

A Markov chain records the outcomes of a sequence of chance experiments. We will define Markov chains and introduce some general theory about them. This theory will be applied to model two board games, Chutes and Ladders and Monopoly, as Markov chains. We will use the results obtained from modeling them as Markov chains to analyze each board game individually.

College and Major available

Mathematics

Academic Level

Undergraduate student

Location

Digital Commons & West Campus West Building University Commons

Start Day/Time

4-25-2025 12:00 PM

End Day/Time

4-25-2025 2:00 PM

Students' Information

Francesca Daniele, Mathematics, Honors, 2025

Winner, Best Writing 2025 Award

Creative Commons License

Creative Commons Attribution-Noncommercial 4.0 License
This work is licensed under a Creative Commons Attribution-Noncommercial 4.0 License

Prize Categories

Most Scholarly Impact or Potential, Most Creative, Best Writing

Senior_Seminar_Paper (15).pdf (1728 kB)
Senior Seminar Math Presentation

Academic_Festival_Poster (4).pdf (1703 kB)
Francesca Daniele - Academic Festival Poster

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Apr 25th, 12:00 PM Apr 25th, 2:00 PM

Using Markov Chains to Analyze Board Games

Digital Commons & West Campus West Building University Commons

A Markov chain records the outcomes of a sequence of chance experiments. We will define Markov chains and introduce some general theory about them. This theory will be applied to model two board games, Chutes and Ladders and Monopoly, as Markov chains. We will use the results obtained from modeling them as Markov chains to analyze each board game individually.

 

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