# Ch 21: Probability, Combinations & Permutations: Tutoring Solution

### About This Chapter

## How it works:

- Begin your assignment or other SAT math work.
- Identify the probability, combinations and permutations concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.

## Who's it for?

This chapter of our SAT Mathematics Level 2 Tutoring Solution will benefit any student who is trying to learn about probability, combinations and permutations to prepare for the subject test. This resource can help students, including those who:

- Struggle with understanding probabilities of simple and compound events, the differences between independent and dependent events, formulas for math combinations, the probabilities of permutations or any other probability, combinations and permutations topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves struggling to review probability, combinations and permutations for the SAT
- Cope with ADD or ADHD
- Want to excel on the SAT mathematics level 2 subject test
- Don't have access to their math teacher outside of class

## Why it works:

**Engaging Tutors**: We make learning about probability, combinations and permutations simple and fun.**Cost Efficient**: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.**Consistent High Quality**: Unlike a live math tutor, these video lessons are thoroughly reviewed.**Convenient**: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about probability, combinations and permutations on the go!**Learn at Your Pace**: You can pause and re-watch lessons as often as you'd like, until you master the material.

## Learning objectives:

- Learn to find the probability of simple, dependent and independent events.
- Explain the either/or probability.
- Solve problems by using the
*At Least One*rule. - Describe the use of math combinations.
- Discover how to calculate conditional probabilities, combinations, permutations and the probability of permutations.

### 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. 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.

### 4. 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.

### 5. 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.

### 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.

### 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.

### 8. 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.

### 9. 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.

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### Other Chapters

Other chapters within the SAT Subject Test Mathematics Level 2: Tutoring Solution course

- SAT Math Level 2 Structure & Strategy: Tutoring Solution
- Basic Math Review: Tutoring Solution
- Square Roots: Tutoring Solution
- Basic Algebraic Expressions in Math: Tutoring Solution
- Exponents in Math: Tutoring Solution
- Vectors: Tutoring Solution
- Linear Equations & Inequalities in Algebra: Tutoring Solution
- Absolute Value Equations & Inequalities: Tutoring Solution
- Polynomials in Algebra: Tutoring Solution
- Functions in Math: Tutoring Solution
- Rational Expressions in Algebra: Tutoring Solution
- Matrices: Tutoring Solution
- Sequences and Series in Math: Tutoring Solution
- Exponentials and Logarithms in Math: Tutoring Solution
- Complex Numbers in Math: Tutoring Solution
- Coordinate Geometry Basics: Tutoring Solution
- Graphing Linear Equations & Inequalities: Tutoring Solution
- Advanced Coordinate Geometry: Tutoring Solution
- Three-Dimensional Geometry: Tutoring Solution
- Overview of Trigonometry: Tutoring Solution
- Working with Data & Statistics: Tutoring Solution
- Logic: Tutoring Solution
- Limits in Math: Tutoring Solution