Three Dilemmas
John M Guarini, Mathematics with concentration in Data Science and Business Analytics, Honors Student, Graduating in May 2025
Abstract
The Monty Hall Problem, Deal or No deal, and Sleeping Beauty Paradox are all subjects which have contested notions on how to achieve a singular answer to their dilemmas respectively. Each has a simplistic opening that, when delved into deeper, reveals itself to be three sets of the same problem. Each problem gaining complexity as the reader progresses. In this paper, we use Bayes’ Theorem to help explain how each answer is possible, as well as how they are alike in their math and structures.
Three Dilemmas
The Monty Hall Problem, Deal or No deal, and Sleeping Beauty Paradox are all subjects which have contested notions on how to achieve a singular answer to their dilemmas respectively. Each has a simplistic opening that, when delved into deeper, reveals itself to be three sets of the same problem. Each problem gaining complexity as the reader progresses. In this paper, we use Bayes’ Theorem to help explain how each answer is possible, as well as how they are alike in their math and structures.
