Probability

Introduction
Classical probability
	Classical probability
	Counting
	Stirling's formula
Axioms of probability
	Axioms and definitions
	Inequalities and formulae
	Independence
	Important discrete distributions
	Conditional probability
Discrete random variables
	Discrete random variables
	Inequalities
	Weak law of large numbers
	Multiple random variables
	Probability generating functions
Interesting problems
	Branching processes
	Random walk and gambler's ruin
Continuous random variables
	Continuous random variables
	Stochastic ordering and inspection paradox
	Jointly distributed random variables
	Geometric probability
	The normal distribution
	Transformation of random variables
	Moment generating functions
More distributions
	Cauchy distribution
	Gamma distribution
	Beta distribution*
	More on the normal distribution
	Multivariate normal
Central limit theorem
Summary of distributions
	Discrete distributions
	Continuous distributions