# Ch 18: ACT Math - Probability: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering ACT preparation material will benefit from taking this course. You will be able to grasp the subject matter faster, retain critical knowledge longer and earn better ACT scores. You're in the right place if you:

- Have fallen behind in understanding factorials, permutations or other probability topics
- Need an efficient way to learn about probability
- Learn best with engaging auditory and visual tools
- Struggle with learning disabilities or learning differences, including autism and ADHD
- Experience difficulty understanding your teachers
- Missed class time and need to catch up
- Can't access extra ACT review resources at school

## How it works:

- Start at the beginning, or identify the topics that you need help with.
- Watch and learn from fun videos, reviewing as needed.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Submit questions to one of our instructors for personalized support if you need extra help.
- Verify you're ready by completing the ACT Math - Probability chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the ACT Math - Probability chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any probability question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

In this chapter, you'll learn the answer to questions including:

- How do I find the probability of independent events?
- How can I determine either/or probability?
- How do I calculate the probability of combinations and permutations?
- What is a factorial?
- What is the formula for math combinations?

### 1. 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.

### 2. 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.

### 3. 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.

### 4. 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.

### 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.

### 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.

### 7. What Is a Factorial?

Maybe it's because I'm a math teacher, but when I watched the Olympics I found myself thinking about how many different ways the swimmers could have finished the race. In this video, you'll learn the answer to this question, why it's important and how it lead to the invention of the mathematical operation called the factorial.

### 8. Factorial Practice Problems

While the definition of factorial isn't complicated, it's easy to make them trickier by throwing a lot of them together and adding in some fractions. Test your skills here with some algebraic examples that make you use factorials without many numbers.

### 9. 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.

### 10. 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.

### 11. Probability Distribution: Definition, Formula & Example

Probability distribution is a way of mapping out the likelihood of all the possible results of a statistical event. In this lesson, we'll look at how that is done and how to make practical applications of this concept.

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### Other Chapters

Other chapters within the ACT Prep: Help and Review course

- ACT - About the Test: Help and Review
- ACT English - Section Overview: Help and Review
- ACT English - Punctuation: Help and Review
- ACT English - Grammar and Usage: Help and Review
- ACT English - Sentence Structure: Help and Review
- ACT English - Rhetorical Strategy: Help and Review
- ACT English - Organization: Help and Review
- ACT English - Style: Help and Review
- ACT Math - Overview: Help and Review
- ACT Math - Pre-Algebra: Help and Review
- ACT Math - Algebraic Expressions: Help and Review
- ACT Math - Radicals: Help and Review
- ACT Math - Linear Equations: Help and Review
- ACT Math - Functions: Help and Review
- ACT Math - Absolute Value: Help and Review
- ACT Math - Matrices: Help and Review
- ACT Math - Inequalities: Help and Review
- ACT Math - Data and Statistics: Help and Review
- ACT Math - Exponents: Help and Review
- ACT Math - Polynomials and Quadratics: Help and Review
- ACT Math - Rational Equations: Help and Review
- ACT Math - Sequences: Help and Review
- ACT Math - Complex Numbers: Help and Review
- ACT Math - Exponentials and Logarithms: Help and Review
- ACT Math - Coordinate Geometry: Help and Review
- ACT Math - Conic Sections: Help and Review
- ACT Math - Triangles: Help and Review
- ACT Math - Plane Geometry: Help and Review
- ACT Math - Logic in Mathematics: Help and Review
- ACT Math - Trigonometry: Help and Review
- ACT Science Reasoning - Overview: Help and Review
- ACT Science Reasoning - Fundamentals: Help and Review
- ACT Reading - Overview: Help and Review
- ACT Reading - Question Types: Help and Review
- ACT Reading - Understanding Passages: Help and Review
- ACT Reading - Literary Terms: Help and Review
- ACT Reading - Practice: Help and Review
- ACT Writing - Overview: Help and Review
- ACT Writing - Essay Skills: Help and Review
- ACT Writing - Essay Parts: Help and Review
- ACT Writing - Planning: Help and Review
- ACT Writing - Advanced Skills: Help and Review
- ACT Prep Help and Review Flashcards