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Counting, Probability, and the Birthday Problem

It's common to have to deal with combinatorics when solving probability questions, and in this video I explain where some of the basic formulas come from in combinatorics. I also provide a basic framework to help guide you through these often challenging problems. Timestamps: 00:00 Intro and Fundamental Counting Principle 3:00 Permutations 6:38 Combinations 11:03 Framework 12:45 Poker Cards Example 17:40 The Birthday Problem 21:30 Wrapping Up Practice Problems: Basic Practice Problems - https://community.plu.edu/~simicmka/c... Probability Practice Problems - https://www.probabilitycourse.com/cha... Advanced Practice Problems - https://www2.math.upenn.edu/~peal/fil... Resources for Further Study: Overview of Basic Combinatorics - https://mathigon.org/world/Combinatorics Overview of the Birthday Problem - https://www.scientificamerican.com/ar... Expanded Look at Combinatorics - https://www.britannica.com/science/co... Music: Äitienpäivä '22 by Brylie Christopher Oxley, https://brylie.bandcamp.com/track/iti..., licensed under CC BY 4.0 Nocturne in E flat major, Op. 9 no. 2.mp3, used from Public Domain Goldberg Variations, BWV 988 - 26 - Variatio 25 a 2 Clav., used from Public Domain