Ch 37: MTEL Middle School Math/Science: Conditional & Independent Probability

About This Chapter

Conditional and independent probabilities are the focus of this chapter. It contains engaging, convenient video lessons that can be watched online. Prepare for the MTEL Middle School Math/Science examination by studying this material.

MTEL Middle School Math/Science: Conditional & Independent Probability - Chapter Summary

Designed to improve your ability to understand and calculate conditional and independent probabilities, this chapter can be used to get you ready for the MTEL Middle School Math/Science examination's relevant questions. You'll be shown step-by-step methods for calculating either/or probabilities as well as the probability of more than one independent event. As you practice using the right formulas for solving these kinds of equations, you should leave the chapter well-prepared for any test questions involving:

  • Using conditional probability when working with dependent events
  • Understanding simple conditional probabilities as well as either / or probabilities
  • Explaining the rules for calculating permutations, the probability of permutations and the probability of combinations
  • Describing real-life probabilities of dependent and independent events
  • Utilizing the 'At Least One' rule
  • Understanding the correlation between independent and conditional probabilities

Use these lessons as you get set for the MTEL Middle School Math/Science examination, then apply your comprehension when answering some of its questions. With the help of experienced educators, mathematics experts, animation and printed transcripts, you'll be able to brush up on your knowledge of conditional and independent probabilities. Take the self-assessment that follows each lesson. They usually include five questions that measure your knowledge of the material that was just presented.

10 Lessons in Chapter 37: MTEL Middle School Math/Science: Conditional & Independent Probability
Test your knowledge with a 30-question chapter practice test
Conditional Probability: Definition & Uses

1. Conditional Probability: Definition & Uses

We know a coin can land on either heads or tails. But what would happen if one coin flip changed the next? In this lesson, we'll look at events that are dependent on each other, and we'll learn how to calculate the probability of two events occurring in a combined manner.

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.

How to Calculate a Permutation

3. 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

4. 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

5. 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

6. 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.

Either/Or Probability: Overlapping and Non-Overlapping Events

7. 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

8. 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.

The Relationship Between Conditional Probabilities & Independence

9. 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.

Applying Conditional Probability & Independence to Real Life Situations

10. Applying Conditional Probability & Independence to Real Life Situations

It can be really confusing learning how to apply conditional and independent probability to real-life situations. This lesson focuses on several examples and practice problems to help you learn how to find conditional probability.

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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