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Ch 13: Mathematical Probabilities

About This Chapter

12 Lessons in Chapter 13: Mathematical Probabilities
Test your knowledge with a 30-question chapter practice test
How to Calculate a Permutation

1. How to Calculate a Permutation

A permutation is a method used to calculate the total outcomes of a situation where order is important. In this lesson, John will use permutations to help him organize the cards in his poker hand and order a pizza.

How to Calculate the Probability of Permutations

2. How to Calculate the Probability of Permutations

In this lesson, you will learn how to calculate the probability of a permutation by analyzing a real-world example in which the order of the events does matter. We'll also review what a factorial is. We will then go over some examples for practice.

Math Combinations: Formula and Example Problems

3. Math Combinations: Formula and Example Problems

Combinations are an arrangement of objects where order does not matter. In this lesson, the coach of the Wildcats basketball team uses combinations to help his team prepare for the upcoming season.

How to Calculate the Probability of Combinations

4. How to Calculate the Probability of Combinations

To calculate the probability of a combination, you will need to consider the number of favorable outcomes over the number of total outcomes. Combinations are used to calculate events where order does not matter. In this lesson, we will explore the connection between these two essential topics.

Fundamental Counting Principle: Definition & Examples

5. Fundamental Counting Principle: Definition & Examples

In this lesson, you will learn about the fundamental counting principle, a method for determining how many ways choices can be made from groups. Several examples will be given.

Sample Space in Statistics: Definition & Examples

6. Sample Space in Statistics: Definition & Examples

In this lesson, you will learn the definition of sample space - an important concept in the study of probability. Examples and quiz questions will illustrate how this concept exists in the real world.

How to Calculate Simple Conditional Probabilities

7. 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

8. 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.

Applying Conditional Probability & Independence to Real Life Situations

9. Applying Conditional Probability & Independence to Real Life Situations

It can be really confusing learning how to apply conditional and independent probability to real-life situations. This lesson focuses on several examples and practice problems to help you learn how to find conditional probability.

Probability of Compound Events: Definition & Examples

10. Probability of Compound Events: Definition & Examples

Determining the probability of compound events involves finding the probability of each event and then determining how to combine them. This lesson will give you the tools to find the probability and finish with a quiz to cement your knowledge.

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 of Data: Examples, Definition & Characteristics

12. Normal Distribution of Data: Examples, Definition & Characteristics

In this lesson, we'll explore the normal distribution of data. Learn about the characteristics of normal distribution, how to plot histograms, the empirical rule, and more.

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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