*Ready to Practice Probability?:* *Don't like the sound effects? Check out:* *Slides:* *Cheat sheet:* 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: LinkedIn: Github: Discord: Medium: @zh2408 Substack: *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.