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Ch 53: MTEL Math: Probability

About This Chapter

Use this chapter to review probability in mathematics. These lessons will help you study for the MTEL Math exam by explaining how to calculate and understand probability.

MTEL Math: Probability - Chapter Summary

This chapter aims to serve as a part of your studies for the MTEL Math exam. It carefully details probability in math. Subjects that will be addressed in this chapter's lessons include:

  • Simple, complementary, and compound events
  • Simple conditional probabilities
  • Probability of dependent and independent events
  • Fundamental counting principle
  • Permutation calculations
  • Probability of permutations
  • Formulas and combinations in math
  • Calculating the probability of combinations

You can view these lessons as brief animated videos and as full transcripts, so you can progress through the chapter at your own speed. If you have any problems throughout your studies, you may submit your requests to our specialists for assistance.

MTEL Math: Probability Chapter Objectives

As a part of the process to attain your license to teach mathematics courses in Massachusetts, the MTEL Math exam is meant to assess your knowledge of basic math skills. Through the 100 multiple-choice questions and 2 open-response items, your understanding of different categories of math will be tested. Of these questions, 10% will focus on your knowledge of data analysis, probability, and statistics.

A firm comprehension of probability will aid you in your abilities to answer any pertinent questions posed on the exam. Since the probability questions on the exam will appear in multiple-choice format, taking the short lesson quizzes throughout the chapter will help you practice answering these types of questions.

8 Lessons in Chapter 53: MTEL Math: Probability
Test your knowledge with a 30-question chapter practice test
Probability of Simple, Compound and Complementary Events

1. 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.

How to Calculate Simple Conditional Probabilities

2. 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

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 Use the Fundamental Counting Principle

4. 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

5. 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

6. 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

7. 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

8. 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 MTEL Mathematics (09): Practice & Study Guide course

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