Ch 52: OAE Mathematics: Probability

About This Chapter

Get all the information you need to know about mathematical probability. The video lessons in this chapter, and the accompanying post-lesson quizzes, can assist you as you prepare to take the OAE Mathematics exam.

OAE Mathematics: Probability - Chapter Summary

Learn about the calculations and rules of probability that could appear on the OAE Mathematics exam. The lessons in this chapter cover the following topics in detail:

  • Probability of independent & dependent events
  • Probability calculations
  • Independence and conditional probability
  • The addition & multiplication rules
  • The fundamental counting principle
  • Math combinations
  • Permutation & probabilities

Follow along as instructors help you with specific probability scenarios and work through the solutions. These video lessons take a unique approach to education that makes the review process engaging and enjoyable.

Objectives of the OAE Mathematics: Probability Chapter

OAE (Ohio Assessments for Educators) designs examinations specifically for educators seeking to obtain a professional license. Passing this particular exam will provide you with a license in mathematics. The information from this chapter on probability is included in the statistics, probability and discrete mathematics section of the test which makes up 19% of the overall score. Be sure to utilize the end-of-lesson multiple-choice quizzes as they provide examples of the types of questions you will see on the actual exam.

The OAE Mathematics exam consists of 150 multiple-choice questions that will take approximately four hours and 15 minutes to complete. There is also a fifteen minute tutorial at the beginning of the test.

11 Lessons in Chapter 52: OAE Mathematics: Probability
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.

Math Combinations: Formula and Example Problems

9. 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 a Permutation

10. 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

11. 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.

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 Ohio Assessments for Educators - Mathematics (027): Practice & Study Guide course

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