# Ch 21: Probability, Combinations & Permutations

### About This Chapter

## Probability, Combinations & Permutations - Chapter Summary

Use our variety of lessons pertaining to probability and statistics to guide your study and help you prepare for the SAT subject test in advanced math. This chapter provides in-depth directions in addition to opportunities to practice calculating probabilities. At the end of this chapter, you'll understand:

- Probability of simple, compound, complementary, independent, dependent, overlapping and non-overlapping events
- How to calculate simple conditional probabilities and the probability of combinations
- The 'at least one' rule
- Methods for calculating a permutation and the probability of permutations
- Formula for math combinations

Well-informed professionals present these lesson offerings on this topic. The lessons are composed of videos, written transcripts and short, multiple-choice quizzes. Watch the videos as many times as you wish, and use the video tags, listed under 'timeline', to go back and revisit select parts.

### Probability, Combinations & Permutations Objectives

If you find math enjoyable and want to prove your mastery of concepts like probability, data analysis, geometry, algebra and operations, you can take the SAT Subject Test Math 2. Before taking this test, refresh your probability skills with this chapter. You'll find that probability concepts are part of the data analysis, statistics and probability content area that makes up 8%-12% of the test. All of the 50 questions on this subject test are multiple choice.

### 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: Practice and Study Guide course

- Structure & Strategies for the SAT Math Level 2
- Basic Math Review
- Square Roots
- Basic Algebraic Expressions
- Exponents
- Vectors
- Algebraic Linear Equations & Inequalities
- Algebra: Absolute Value Equations & Inequalities
- Algebra: Polynomials
- Functions in Math
- Algebra: Rational Expressions
- Matrices
- Understanding Sequences & Series
- Understanding Exponentials & Logarithms
- Complex and Imaginary Numbers
- Coordinate Geometry Basics
- Coordinate Geometry: Graphing Linear Equations & Inequalities
- Advanced Coordinate Geometry
- Three-Dimensional Geometry
- Overview of Trigonometry
- Working with Data & Statistics
- Basic Mathematical Logic
- Limits of Functions
- SAT Subject Test Mathematics Level 2 Flashcards