Set Theory in Probability: Sample Spaces and Events

Here we briefly introduce the fundamental concepts of set theory which is used to formalize the notion of sample and event spaces in probability. We discuss the union, intersection, and complement of a set, with examples. This video was produced at the University of Washington, and we acknowledge funding support from the Boeing Company %%% CHAPTERS %%% 00:00 Intro 01:52 Defining the Sample Space 05:09 Example: Coin Flips 06:02 Events as Subsets 08:17 Set Operations for Probability 15:18 Probability as a Measure 17:54 Axioms of Probability 20:38 Basic Derivations 22:14 Outro