In this episode of Simply Science, we explore the exciting intersection of gambling and mathematics to better understand probability and decision-making. Through the lens of games of chance, we’ll break down complex mathematical concepts like dynamic programming, Bayesian statistics, and stochastic processes, showing how they apply not only to gambling but also to broader real-world scenarios.

We begin by introducing the gambler's problem, a mathematical framework used to describe a gambler's choices, resources, and desired outcomes. From here, we dive into the world of casino games, exploring how casinos maintain a statistical advantage through subfairness—designing games that appear fair, but actually tip the scales in their favor. We'll also explore how gamblers use various strategies and how mathematical tools can optimize decision-making in uncertain environments.