General aspects Probability Randomness Uncertainty Statistical variability Observational error Average Probability interpretations Statistical regularity Relative frequency Frequency probability Maximum likelihood Bayesian probability Principle of indifference Cox's theorem Principle of maximum entropy Information entropy Foundations of probability theory Probability theory Sample space Probability space Probability axioms Event (probability theory) Elementary event Probability density function Cumulative distribution function Almost surely Cox's theorem Edwin Thompson Jaynes Bayesianism Random variables Discrete random variable Probability mass function Expected value Variance Standard deviation Moment (mathematics) Moment about the mean Standardized moment Skewness Kurtosis Locality Cumulant Multivariate random variable Independent identically-distributed random variables Statistical independence Covariance Covariance matrix De Finetti's theorem Correlation Uncorrelated Correlation function Canonical correlation Convergence of random variables Markov's inequality Chebyshev's inequality Laws of large numbers Asymptotic equipartition property Typical set Martingale Conditional probability Conditional expectation Bayes' theorem Probability distributions Probability-generating function Moment-generating function Characteristic function Bernoulli distribution Bernoulli trial Binomial distribution Cauchy distribution Chi-square distribution Degenerate distribution Exponential distribution F-distribution Gamma distribution Geometric distribution Negative binomial distribution Normal distribution Central limit theorem Illustration of the central limit theorem Multivariate normal distribution Pareto distribution Poisson distribution Student's t-distribution Wishart distribution Zeta distribution Applied probability Empirical findings Benford's law Pareto principle Zipf's law Stochastic processes Random walk Markov chain Examples of Markov chains Markov property Hidden Markov model Bernoulli process Poisson process Time series analysis Anomaly time series Brownian motion Branching process Gauss-Markov process Gaussian process Queueing theory Statistics Statistical sample Sampling (statistics) Data point Data set Statistical population Statistical theory Statistical inference Null hypothesis Confidence interval Margin of error Interval estimation point estimation Estimator Bias (statistics) Gauss-Markov theorem Likelihood-ratio test Multivariate statistics Analysis of variance ANCOVA Bayesian inference Applied statistics Statistical unit Statistical assembly Statistical model Gambling Game of chance Odds Betting Spread betting Bookmaker Pari-mutuel betting