Probability

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.

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 $(\Omega, \mathfrak{a}, \mathit{P})$ . Here $\Omega$ is a set called the sample space, $\mathfrak{a}$ is a class of events from the sample space, and $\mathit{P}:\mathfrak{a}\to [0,1]$ 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.