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Ch 54: ORELA Middle Grades Math: Probability

About This Chapter

Use this chapter of informative video lessons on probabilities to prepare for the ORELA Middle Grades Math exam. The self-assessment quizzes that complement each lesson help you assess your knowledge and see if you're ready for test day.

ORELA Middle Grades Math: Probability - Chapter Summary

This chapter is designed to help you review concepts on calculating the probabilities of various permutations, combinations and events. After watching these videos, you should be able to answer questions related to:

  • Simple conditional probabilities
  • Independent and dependent events
  • Fundamental counting principles
  • Permutations
  • Math combinations
  • Probability of combinations

These video lessons are taught by experienced instructors who present the math topics in a fun, engaging way. Print transcripts and self-assessment quizzes are also included for each video. You can watch the videos as many times as you need and use the video tags to go right to the areas that need extra review.

ORELA Middle Grades Math: Probability Objectives

The topics in this chapter are covered within the statistics, probability and discrete mathematics domain area of this teacher certification exam, which makes up about one quarter of the test questions. Specifically, you may be asked to determine the probability of simple or compound events, calculate probabilities using counting principles, demonstrate methods of simulating probabilities and determine probabilities using visual representations. The four hour and 15 minute test includes 150 multiple-choice questions. The videos and short quizzes in our lessons can help you practice for test day and determine any areas in need of extra review.

7 Lessons in Chapter 54: ORELA Middle Grades Math: Probability
Test your knowledge with a 30-question chapter practice test
How to Calculate Simple Conditional Probabilities

1. 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.

Probability of Independent and Dependent Events

2. 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 Use the Fundamental Counting Principle

3. 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.

How to Calculate a Permutation

4. 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

5. 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

6. 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

7. 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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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Other Chapters

Other chapters within the ORELA Middle Grades Mathematics: Practice & Study Guide course

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