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Set Theory in Probability: Sample Spaces and Events

90.5K views on YouTube

Steve Brunton 68 tutorials here
Mathematics

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