Counting, Probability, and the Birthday Problem

Описание: 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