Learn fundamental concepts of set theory and their application to probability in this 24-minute educational video from the University of Washington. Explore the mathematical foundations of sample spaces and event spaces through clear explanations and practical examples like coin flips. Master essential set operations including unions, intersections, and complements while understanding their role in probability theory. Delve into probability as a measure and examine the core axioms that govern probabilistic reasoning. Progress through basic derivations to strengthen mathematical understanding, with funding acknowledgment to the Boeing Company. Follow along with structured chapters covering sample space definition, event subsets, set operations, probability measures, and foundational axioms.