The following is a 8-page crash course on probability based off my notes as a Teaching Fellow for Joe Blitzstein's Stat 110 class. It covers a semester's worth of probability, including summaries of main topics, common distributions, problems, tips, and a distribution reference sheet.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License..
- Monty Hall
- St. Petersburg Paradox
Summary: Cleaned up sections, moved things around to more logical locations, and fixed one error in formula. Also removed some left margins, which allowed room for a Settlers of Catan diagram and the hat-matching problem.
Added
- Settlers of Catan diagram
- Hat-matching problem
Removed
- Unused theorems and commands
- Left margins on descriptions
Major Fixes
- Fixed error in Law of Total Probability formula
Merged
- Classic Problems is now merged into Example Problems
Moved
- Reorganized material on Beta distribution
Summary: Added a new page of content, including vast improvements to problem solving solutions and a new biohazards section.
Added
- Probability that the normal distribution falls in a certain interval
- Convolutions section
- Minimum and Maximum of Random Variables problem
- Adam and Eve's Laws problem
- MGF - Distribution Matching problem
- Two Markov Chain problems
- Major improvements to Problem Solving Strategies
- Biohazards Section
- Recommended Resources Section)
Removed
- Duplicate Law of Total Expectation section
Moved
- Amoeba Spliting and Typos in your Textbook to Example Problems
Major Fixes
- Fixed solution to "Orderings of i.i.d. random variables"
Added
- Probability Cheatsheet
I welcome comments, suggestions, and corrections! You can message me on Quora, contact me via my website or suggest changes directly in the github repo source code.