Probability Problem Sets – Based on Introduction to Probability by Blitzstein

This repository contains my organized solutions and study notes for the textbook Introduction to Probability by Joseph K. Blitzstein and Jessica Hwang. It serves as a personal study log and problem set archive as I work through key concepts and exercises to deepen my intuition and technical fluency in probability.

---

Resource Used

All problems are taken from: Joseph K. Blitzstein & Jessica Hwang – Introduction to Probability (2nd Edition) 📘 ISBN: 978-1-138-19790-9 🔗 Harvard Course Site (Archived)

---

Structure & Organization

Each folder corresponds to a major topic or chapter in the book. Within each folder you'll find:

• Problem Sets with my handwritten or typed solutions
• Brief Notes summarizing key concepts when needed
• Diagrams or visualizations (if applicable)
• Subdirectories for specific sections (e.g., Basic Counting, Conditional Probability, Random Variables)

problem-sets/
├── 01_probability_and_counting/
│   ├── README.md
│   ├── permutations-combinations.md
│   ├── inclusion-exclusion.md
│   └── ...
├── 02_conditional-probability/
│   ├── total-probability.md
│   ├── bayes-rule.md
│   └── ...
├── 03_random-variables/
├── 04_expectation/
├── 05_distributions/
├── ...
└── README.md

---

How I'm Solving

Most problems are:

• Solved by hand in a notebook
• Then typed using Markdown for clarity and future reference
• Accompanied by concise notes explaining the reasoning behind each solution

The focus is not speed but mastery—this effort is part of my long-term technical foundation building under my Project10X Stats study plan.

---

Work In Progress

This repository is growing gradually as I progress through the book. Some sections may still be drafts or contain only partial work.

---

Covered Topics (in progress)

• Basic Counting (sets, permutations, combinations)
• Conditional Probability
• Bayes’ Rule & Independence
• Random Variables
• Expectation, Variance
• Discrete and Continuous Distributions
• Joint Distributions
• Law of Large Numbers
• Central Limit Theorem

---

Tools Used

• Markdown + Git for version control and formatting
• LaTeX (via KaTeX or MathJax) for clean math notation
• Diagrams created by hand or with drawing tools (Desmos, draw.io, etc.)

---

📜 License

This project is for educational and personal use only. Problems and concepts are based on the book Introduction to Probability by Blitzstein & Hwang, © Cambridge University Press.