Discrete Probability
Various
Learn discrete probability concepts like counting, permutations, and conditional probability. Build your skills with this comprehensive course!
More resources on Discrete Probability
probabilitycourse.com
ProbabilityCourse.com is an online learning resource that provides a structured probability course with clear explanations, worked examples, and practice problems covering topics from basics to advanced theory.
Art of Problem Solving - Probability
Art of Problem Solving wiki entry on probability for competition math students: defines outcomes, events, and basic probability rules, then lists introductory, intermediate, and olympiad contest problems linked to worked solutions. Good for practicing discrete probability problem-solving.
Probabilistic Systems Analysis and Applied Probability (MIT 6.041SC)
Modeling and analysis of uncertainty: probability models, discrete and continuous random variables, Bayesian inference, limit theorems and random processes. Designed for independent study, with lecture videos, slides, recitation and tutorial problems, problem sets and exams with solutions, and TA problem-solving videos.
Introduction to Probability
HarvardX's self-paced version of Harvard's Stat 110, taught by Joe Blitzstein. Covers counting and story proofs, conditional probability and Bayes' rule, discrete and continuous random variables, joint distributions, the law of large numbers, the central limit theorem and Markov chains.
Probability and Random Processes
Rigorous textbook on probability and stochastic processes, from discrete and continuous random variables, generating functions, and limit theorems through Markov chains, martingales, stationary processes, and diffusions, with extensive exercises. Builds measure-aware probabilistic reasoning for graduate study or quantitative research.
Discrete Mathematics
Dominik Scheder's proof-based course on sets, functions and relations, enumerative combinatorics, graph theory, and network flows and matchings, each concept paired with a fully proved non-trivial result. Learners read formal statements and write rigorous proofs of their own.