# Outline of probability

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Outline of probability

Probability is the likelihood or chance that something is the case or will happen. Probability theory is used extensively in statistics, mathematics, science and philosophy to draw conclusions about the likelihood of potential events and the underlying mechanics of complex systems.

The following outline is provided as an overview and guide to the variety of topics included within the subject of probability.

## Basic probability

(Related topics: set theory, simple theorems in the algebra of sets)

## Probability theory

(Related topics: measure theory)

## Random variables

### Functions of random variables

• Sums of random variables*
• General functions of random variables*

## Generating functions

(Related topics: integral transforms)

## Convergence of random variables

(Related topics: convergence)

## Stochastic processes

### Martingales

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