# Difference between revisions of "Probability"

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* [[dependent probability]] | * [[dependent probability]] | ||

* [[independent probability]] | * [[independent probability]] | ||

+ | |||

+ | == Formal Definition of Probability == | ||

+ | Probability is formally defined as a triple <math>(\Omega, \mathfrak{a}, \mathit{P})</math>. Here <math>\Omega</math> is a set called the sample space, <math>\mathfrak{a}</math> is a class of events from the sample space, and <math>\mathit{P}:\mathfrak{a}\to [0,1]</math> is an assignment with certain properties called the probability function. | ||

=== Types of Probability === | === Types of Probability === |

## Revision as of 08:01, 27 November 2007

**Probability** is one of the most difficult areas of mathematics to define, explain, or understand. Probability can be loosely defined as the chance that an event will happen.

## Contents

## Introductory Probability

Before reading about the following topics, a student learning about probability should learn about introductory counting techniques.

## Formal Definition of Probability

Probability is formally defined as a triple . Here is a set called the sample space, is a class of events from the sample space, and is an assignment with certain properties called the probability function.

### Types of Probability

Part of a comprehensive understanding of basic probability includes an understanding of the differences between different kinds of probability problems.

- algebraic probability
- combinatorial probability problems involve counting outcomes.
- geometric probability