Ch 53: NMTA Middle Grades Math: Probability

About This Chapter

Our chapter on probability will have you ready for questions about probability on the NMTA Middle Grades Math test. Our expert instructors, video lessons and practice quizzes are just what you need.

NMTA Middle Grades Math: Probability - Chapter Summary

If you'll be taking this test and need a little review on probability, we can help you do that. Our instructors are experts in math and education and have put together some great lessons in video form (as well as text) you can watch anytime and anywhere. The videos are brief, so cue them up from your mobile device when you have quick breaks in your schedule throughout the day. They'll lead you through a review of topics like:

  • Calculating probabilities of simple conditional, independent and dependent events
  • Using the Fundamental Counting Principle
  • Calculating permutation and math combinations and their probabilities

The short quiz following each lesson will help summarize the information and confirm your retention. This way, you'll feel well prepared on test day.

Objectives for the NMTA Middle Grades Math: Probability Chapter

The NMTA Middle Grades Math test is what New Mexico uses for teacher certification or endorsement. The test is computer-based and all multiple choice. The 150 questions are subdivided into 4 content domains. The fourth, Statistics, Probability and Discrete Mathematics, accounts for about 25% of the test and is where you'll find most questions about probability. Specifically, the test will try to determine your ability to calculate and simulate probabilities of simple and compound events using counting principles and a variety of graphic representations. As you may be able to tell from our chapter summary, our topics correlate with and expound upon these test objectives.

Let us help you in your preparation for the NMTA Middle Grades Mathematics test so you can get it over with and get started on your career!

7 Lessons in Chapter 53: NMTA 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 NMTA Middle Grades Mathematics (203): Practice & Study Guide course

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