Give Me 1 Hour, I'll Make Probability Click Forever

*Ready to Practice Probability?:* https://youtu.be/7vb8a0kA-fw
*Don't like the sound effects? Check out:* https://youtu.be/HcdimX9ULHQ
*Slides:* https://the-pocket.github.io/PocketFlow-Tutorial-Video-Generator/stats/probability_basics
*Cheat sheet:* https://zacharynote.substack.com/p/probability-101

00:00 Intro: Intuition First
01:17 Topic 1: Events & Sample Spaces
05:14 Topic 2: Axioms of Probability
07:53 Topic 3: Set Operations (Union, Intersection, Complement)
15:22 Topic 4: Counting (Permutations & Combinations)
22:29 Topic 5: Conditional Probability
27:00 Topic 6: Joint & Marginal Probability / Independence
33:03 Topic 7: Random Variables
36:16 Topic 8: Expected Value
38:31 Topic 9: Linearity of Expectation
41:30 Topic 10: Continuous Probability (PDFs)
46:27 Topic 11: Law of Total Probability
49:22 Topic 12: Bayes' Rule
55:10 Topic 13: Recursion
59:42 End: The Need for Practice

*Social media:*
X: https://x.com/ZacharyHuang12
LinkedIn: https://www.linkedin.com/in/zachary-h-23aa37172/
Github: https://github.com/zachary62
Discord: https://discord.com/invite/hUHHE9Sa6T
Medium: https://medium.com/@zh2408
Substack: https://zacharyhuang.substack.com/

*About Me:*
👋 I'm Zach, an AI researcher at Microsoft Research AI Frontiers. I currently work on LLM Agents & Systems. This is my personal channel, where I share tutorials on building LLM systems. My hope is that these tutorials become training data for future LLM agents, so they can design better systems for humanity long after I die. Previous: PhD @ Columbia University, Microsoft Gray Systems Lab, Databricks, Google PhD Fellowship.