Ch 22: Probability: Principles & Techniques

About This Chapter

12 Lessons in Chapter 22: Probability: Principles & Techniques
Test your knowledge with a 30-question chapter practice test
Events as Subsets of a Sample Space: Definition & Example

1. Events as Subsets of a Sample Space: Definition & Example

Probability can get very confusing at times. You will find that some words, such as events and subsets, are often referring to the same concept depending on the experiment. Use this lesson to understand the concept of events as subsets.

Probability of Simple, Compound and Complementary Events

2. Probability of Simple, Compound and Complementary Events

Simple, compound, and complementary events are different types of probabilities. Each of these probabilities are calculated in a slightly different fashion. In this lesson, we will look at some real world examples of these different forms of probability.

Probability of Independent and Dependent Events

3. Probability of Independent and Dependent Events

Sometimes probabilities need to be calculated when more than one event occurs. These types of compound events are called independent and dependent events. Through this lesson, we will look at some real-world examples of how to calculate these probabilities.

How to Calculate Simple Conditional Probabilities

4. How to Calculate Simple Conditional Probabilities

Conditional probability, just like it sounds, is a probability that happens on the condition of a previous event occurring. To calculate conditional probabilities, we must first consider the effects of the previous event on the current event.

The Relationship Between Conditional Probabilities & Independence

5. The Relationship Between Conditional Probabilities & Independence

Conditional and independent probabilities are a basic part of learning statistics. It's important that you can understand the similarities and differences between the two as discussed in this lesson.

The Addition Rule of Probability: Definition & Examples

6. The Addition Rule of Probability: Definition & Examples

In this lesson, you will learn the differences between mutually exclusive and non-mutually exclusive events and how to find the probabilities of each using the Addition Rule of Probability.

The Multiplication Rule of Probability: Definition & Examples

7. The Multiplication Rule of Probability: Definition & Examples

The Multiplication Rule of Probability is a concept you will use frequently when solving probability equations. In this lesson, learn the two different scenarios in which you will use the multiplication rule of probability.

How to Use the Fundamental Counting Principle

8. How to Use the Fundamental Counting Principle

There are many situations in which you will have to make several decisions simultaneously. The fundamental counting principle will help you determine how many different possible outcomes there are when you have to make multiple simultaneous decisions.

The Role of Probability Distributions, Random Numbers & the Computer in Simulations

9. The Role of Probability Distributions, Random Numbers & the Computer in Simulations

Computer simulations are valuable tools used to model complex systems. In this lesson we discuss random numbers and probability distributions in relation to their role in computer simulations.

Uniform Distribution in Statistics: Definition & Examples

10. Uniform Distribution in Statistics: Definition & Examples

In this lesson we will explore uniform distributions and learn how to identify two basic types: discrete and uniform. You'll also learn how to recognize both by the shape and characteristics of their graphs.

Binomial Distribution: Definition, Formula & Examples

11. Binomial Distribution: Definition, Formula & Examples

You have a probability distribution to create, which one do you use? That depends. In this lesson, learn about binomial distributions, get examples and criteria for their use, and learn how to calculate the binomial distribution formula.

Normal Distribution: Definition, Properties, Characteristics & Example

12. Normal Distribution: Definition, Properties, Characteristics & Example

In this lesson, we will look at the Normal Distribution, more commonly known as the Bell Curve. We'll look at some of its fascinating properties and learn why it is one of the most important distributions in the study of data.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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