# Ch 6: Probability Combinations, Permutations & Expected Values

### About This Chapter

Discover all the info you need to know about probability combinations, expected values and permutations through these short and engaging videos. Use the quizzes that follow to gauge your comprehension of each concept.

## Probability Combinations, Permutations & Expected Values - Chapter Summary and Learning Objectives

Explore the formulas and calculations associated with math combinations and permutations in this chapter and then watch as games of chance, like poker and blackjack, are used to show you how to find expected values. Each lesson takes a larger concept, like permutations, and breaks it down into small chunks of topics that are easier to learn and retain. Before you progress to the next lesson, make sure you understand the concepts presented in the current video by taking the self-assessment quiz that follows it. As you make your way through these lessons, you'll learn about:

• Methods for calculating permutations and probabilities of permutations
• Classical approaches to probability
• Types of random variables
• Discrete probability distributions
• Game strategies that use expected values

Video Objective
Math Combinations: Formula and Example Problems Learn the formulas used for math combinations and check out examples that walk you through the process of using them.
How to Calculate a Permutation Study the steps you'll use to calculate permutations.
How to Calculate the Probability of Permutations Determine the best way to calculate the probability of permutations.
Relative Frequency & Classical Approaches to Probability: Lesson & Quiz Explore these different approaches to probability.
Finding & Interpreting the Expected Value of a Discrete Random Variable Discover how to use probability distributions to find expected values.
Random Variables: Definition, Types & Examples Identify various types of random variables.
Developing Discrete Probability Distributions Theoretically & Finding Expected Values Get a firsthand look at the process of theoretically developing discrete probability distributions.
Developing Discrete Probability Distributions Empirically & Finding Expected Values Examine the ways that you can empirically develop a discrete probability distribution.
Dice: Finding Expected Values of Games of Chance Differentiate between dependent and independent probability events using dice.
Blackjack: Finding Expected Values of Games of Chance with Cards Determine how to calculate expected values of betting games and probabilities of certain hands.
Poker: Finding Expected Values of Games of Chance with Cards Learn to calculate probabilities of games of chance using poker.
Lotteries: Finding Expected Values of Games of Chance Calculate expected values of lottery games.
Comparing Game Strategies Using Expected Values: Process & Examples Understand how to use expected values to determine the strength of different game strategies.

12 Lessons in Chapter 6: Probability Combinations, Permutations & Expected Values
Test your knowledge with a 30-question chapter practice test
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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### Other Chapters

Other chapters within the DSST Principles of Statistics: Study Guide & Test Prep course

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