Probability
Probability is the branch of mathematics that studies the likelihood of events occurring. It provides the mathematical framework for quantifying uncertainty and reasoning about random phenomena.Key Topics
- Sample Spaces & Events — defining the set of all possible outcomes
- Axioms of Probability — Kolmogorov’s foundational axioms
- Conditional Probability — P(A|B) and updating beliefs with new information
- Bayes’ Theorem — reversing conditional probabilities
- Random Variables — discrete and continuous
- Distributions — Binomial, Poisson, Normal, Exponential, and more
- Expectation & Variance — summarizing distributions
- Law of Large Numbers & Central Limit Theorem — convergence results
we will be taking it from these resources
- Steven Brunton - Probability Bootcamp
- ROSS - Book
- mathematicalmonk - Probability Primer series
- J.K Blitzstein - Book
- One Video
- Tübingen Machine Learning - Course
- CodeEmporium - Probability Theory for ML
- Stanford - Probability for Computer Scientists
- Distributions
- statlect Probability
- probabilitycourse