About This Chapter
Understanding Probability - Chapter Summary
This collection of math lessons helps you review and practice several types of probability calculations. You'll study conditional, theoretical and experimental probabilities and practice calculating probabilities for combinations, permutations and several types of events. After completing the lessons in this chapter, you should be able to:
- Understand the probability of simple, compound and complementary events
- Assess the probability of independent and dependent events
- Calculate simple conditional probabilities
- Use the formulas for theoretical and experimental probability
- Determine the probability of combinations and permutations
These lessons are taught by expert math instructors who break down important definitions, formulas, rules and processes to help you fully understand probability and solve a variety of problems. To get a comprehensive review of probability, you can study the chapter in sequence. If you need to study specific topics, you'll be able to easily find and jump to the information you need through your course Dashboard. Following each lesson is a short self-assessment quiz that can help you practice and remember what you've learned. You can print word-for-word lesson transcripts to supplement your studying experience. This study resource is available 24/7 and accessible on any computer or mobile device, which helps you review whenever it fits your schedule.
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.
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.
3. 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.
4. What is Theoretical Probability? - Definition, Formula & Examples
Have you ever heard someone ask, 'What are the odds?' Usually what it is meant is, 'How likely is it that an event will happen?' This lesson explores finding the likelihood, or theoretical probability, that an event could occur.
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.
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.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the MTEL General Curriculum (03): Practice & Study Guide course
- History of the English Language
- Basic Grammar & Mechanics
- Teaching Literature & Literary Analysis
- Literary Genres
- Literary Elements & Concepts
- Children's Literature Genres & Characteristics
- The Writing Process
- Writing Styles & Techniques
- Paleolithic Era to the Agricultural Revolution
- Early Civilizations & the Rise of Western Imperialism
- Modern World History Overview
- The Start of the United States
- American History 1800 to 1900
- American History 1900 to 1950
- American History 1950 to Present Day
- US & Massachusetts Government
- Fundamentals of Economics & Capitalism
- Geography & Human Settlements
- Principles of Life Sciences
- Principles of Physical Science
- Earth & Space Science
- Foundations of Scientific Thought
- Scientific Inquiry & Experimentation
- The Number System
- Fractions, Decimals & Percents Overview
- Factoring & Divisibility Rules
- Number Operations
- Basic Algebraic Concepts & Practice
- Introduction to Functions & Graphs
- Understanding & Solving Linear Functions
- Concepts of Measurement
- Geometric Shapes & Principles
- Understanding Descriptive Statistics
- MTEL General Curriculum Flashcards