# Chapter 12: Introduction to Probability

Difficulty Level:

**At Grade**Created by: CK-12

## Introduction

This chapter introduces the concepts of probability. We will begin looking at sample spaces (the number of ways in which multiple events can occur) using the fundamental counting principle, factorials, permutations, combinations and binomial expansion. Next, we will learn how to calculate probability based on these sample spaces for singular and multiple events. Finally, we will exam the difference between independent, mutually exclusive and dependent events.

Chapter Outline

- 12.1.
## Applying the Fundamental Counting Principle

- 12.2.
## Using the Fundamental Counting Principle with and without Repetition

- 12.3.
## Define and Apply Permutations and Factorials

- 12.4.
## Permutations of Subsets and Permutations with Repetition

- 12.5.
## Define and Apply Combinations

- 12.6.
## Pascal's Triangle and the Coefficients in the Expansion of Binomials

- 12.7.
## Using the Binomial Theorem

- 12.8.
## Finding the Probability of an Event

- 12.9.
## Calculating Probabilities of Combined Events

- 12.10.
## Tree Diagrams and Probability Distributions

- 12.11.
## Basic Geometric Probabilities

- 12.12.
## Union and Intersection of Sets

- 12.13.
## Probability Using a Venn Diagram and Conditional Probability

- 12.14.
## Independent, Conditional, and Mutually Exclusive Events

### Chapter Summary

## Summary

This chapter covers the fundamental counting principle, factorials, permutations, combinations, binomial expansion, and difference kinds of probabilities.

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Description

This chapter covers the fundamental counting principle, factorials, permutations, combinations, binomial expansion, and difference kinds of probabilities.

Difficulty Level:

At Grade
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Subjects:

Date Created:

Jan 08, 2016
Last Modified:

Jul 25, 2016
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