About This Chapter
Combinatorics - Chapter Summary
Use the video lessons in this chapter to find out about various aspects of combinatorics, including the fundamental counting principle, permutations and math combinations. Explore the probability of independent and dependent events, and learn what conditional probability is. When you've watched all these lessons, you should be ready to:
- Use the fundamental counting principle
- Calculate a permutation
- Explain and use the formula for math combinations
- Determine the probability of dependent and independent events
- Define and use conditional probabilities
With these short, engaging lessons, you'll get a solid understanding of these topics. Our professional instructors make learning enjoyable, and the self-assessment quizzes at the end of each lesson allow you to test your knowledge. A jump feature in the timeline makes it easy to return to key points in each lesson for additional study. Each lesson also includes a written transcript that designates important terms and phrases.
1. How to Use the Fundamental Counting Principle
There are many situations in which you will have to make several decisions simultaneously. The fundamental counting principle will help you determine how many different possible outcomes there are when you have to make multiple simultaneous decisions.
2. 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.
3. 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.
4. 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.
5. 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.
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Other chapters within the Contemporary Math: Help and Review course
- Mathematical Reasoning & Problem-Solving: Help and Review
- How to Solve Word Problems: Help and Review
- Statistics Overview: Help and Review
- Probability Overview: Help and Review
- Understanding Discrete Probability Distributions: Help and Review
- The Normal Curve & Continuous Probability Distributions: Help and Review
- The Mathematics of Voting: Help and Review
- The Mathematics of Apportionment: Help and Review
- Graph Theory: Help and Review
- Operations with Basic Algebraic Expressions
- Conics in Algebra
- Algebraic Concepts of Groups & Sets
- Notation, Sequences & Series
- Matrices and Determinants in Algebra
- Fractions, Decimals & Mixed Numbers
- Approaches to Math Word Problems
- Performing Basic Arithmetic
- Operations with Monomials and Polynomials
- Number Line & the Coordinate Graph