Copyright

Ch 24: ILTS Mathematics: Probability Theory & Techniques

About This Chapter

The ILTS Mathematics exam doesn't have to be time-consuming to study for if you get help from us. We put together a chapter to help you quickly review probability theory and techniques.

ILTS Mathematics: Probability Theory & Techniques - Chapter Summary

The lessons in this chapter are interactive, and they will improve your ability to work with probability principles. Some of the topics included in this ILTS Mathematics prep course are:

  • Venn diagrams
  • Mathematical sets
  • Calculating the probability of permutations
  • Probability distribution
  • Theoretical probability
  • Experimental probability
  • Using probability models

Develop your understanding of probability theory by reviewing the lessons included in this chapter. Not only do they make learning math principles fun, but you can easily go back through the video lessons thanks to their tags. There are also quizzes available, which help you assess your knowledge and skills to determine if you are ready for the exam.

12 Lessons in Chapter 24: ILTS Mathematics: Probability Theory & Techniques
Test your knowledge with a 30-question chapter practice test
Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

1. Venn Diagrams: Subset, Disjoint, Overlap, Intersection & Union

The Venn diagram was introduced by John Venn. Yes, the Venn diagram is named after a real person! His idea was to show sets in terms of pictures. The Venn diagram is now used in many fields, including mathematics. Let's take a look at John Venn's idea.

Mathematical Sets: Elements, Intersections & Unions

2. Mathematical Sets: Elements, Intersections & Unions

Today we're going to explore mathematical sets, which are surprisingly simple! Sets are just collections of any objects or concepts, also known as elements, that can be related to each other through union or intersection.

How to Calculate the Probability of Permutations

3. 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.

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.

Probability of Independent and Dependent Events

5. 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.

Probability Distribution: Definition, Formula & Example

6. Probability Distribution: Definition, Formula & Example

Probability distribution is a way of mapping out the likelihood of all the possible results of a statistical event. In this lesson, we'll look at how that is done and how to make practical applications of this concept.

Probability of Simple, Compound and Complementary Events

7. 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.

Either/Or Probability: Overlapping and Non-Overlapping Events

8. Either/Or Probability: Overlapping and Non-Overlapping Events

Statistics is the study and interpretation of a set of data. One area of statistics is the study of probability. This lesson will describe how to determine the either/or probability of overlapping and non-overlapping events.

Probability of Independent Events: The 'At Least One' Rule

9. Probability of Independent Events: The 'At Least One' Rule

Occasionally when calculating independent events, it is only important that the event happens once. This is referred to as the 'At Least One' Rule. To calculate this type of problem, we will use the process of complementary events to find the probability of our event occurring at least once.

How to Calculate Simple Conditional Probabilities

10. 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.

What is Theoretical Probability? - Definition, Formula & Examples

11. What is Theoretical Probability? - Definition, Formula & Examples

Have you ever heard someone ask, 'What are the odds?' Usually what it is meant is, 'How likely is it that an event will happen?' This lesson explores finding the likelihood, or theoretical probability, that an event could occur.

Experimental Probability: Definition & Predictions

12. Experimental Probability: Definition & Predictions

In this lesson, you're going to learn about the concept of experimental probability and apply it to coins, dice, a deck of cards, and even real world scenarios.

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

Earning College Credit

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Transferring credit to the school of your choice

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

Support