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Ch 21: Binomial Theorem & Probability

About This Chapter

Refresh your understanding of binomial theorem and probability with help from our engaging chapter. These fun, short video and text lessons make it easy to understand even the most challenging concepts so you can prepare for an exam and get a great score.

Binomial Theorem & Probability - Chapter Summary

This informative chapter covers binomial theorem and probability, including the definition of the binomial theorem and how it's used to expand a binomial. Our helpful lessons clearly explain the relationship between Pascal's Triangle and combinations, as well as give examples of finite sequences. You'll also review the formula used for binomial distribution, as well as examples of this concept. This chapter is designed to help you:

  • Use Pascal's Triangle with polynomials
  • Explain what a finite series is
  • Calculate binomial probability using a formula

Our lessons and quizzes make studying even the most challenging topics simple and fun. Access these learning tools on your mobile phone, tablet or computer 24 hours a day to study at whatever time works best for you. If you need assistance, contact one of our instructors for help as you work through the chapter.

8 Lessons in Chapter 21: Binomial Theorem & Probability
Test your knowledge with a 30-question chapter practice test
What is the Binomial Theorem?

1. What is the Binomial Theorem?

While the F.O.I.L. method can be used to multiply any number of binomials together, doing more than three can quickly become a huge headache. Luckily, we've got the Binomial Theorem and Pascal's Triangle for that! Learn all about it in this lesson.

Pascal's Triangle: Definition and Use with Polynomials

2. Pascal's Triangle: Definition and Use with Polynomials

Pascal's Triangle is defined and discussed briefly. Following the introduction to the triangle, its use in expanding polynomial powers is elaborated with examples.

How to Use the Binomial Theorem to Expand a Binomial

3. How to Use the Binomial Theorem to Expand a Binomial

In this video lesson, you will see what the binomial theorem has in common with Pascal's triangle. Learn how you can use Pascal's triangle to help you to easily expand a binomial.

The Relationship Between Pascal's Triangle & Combinations

4. The Relationship Between Pascal's Triangle & Combinations

Pascal's triangle shows many important mathematical concepts like the counting numbers and the binomial coefficients. In this lesson, we show how Pascal's triangle is related to combinations.

Finite Sequence: Definition & Examples

5. Finite Sequence: Definition & Examples

After completing this lesson, you will be able to identify a finite sequence and different types of finite sequences. You will also be able to distinguish mathematical patterns of finite sequences.

What is a Finite Series?

6. What is a Finite Series?

Read this lesson to learn how finite series are necessary for things such as the Binomial Theorem. You'll also learn how some other mathematical concepts can only be performed with finite series.

Calculating Binomial Probability: Formula & Examples

7. Calculating Binomial Probability: Formula & Examples

When we are calculating probabilities and there are only two possible outcomes, we can consider using the binomial probability. In this lesson we will look at the conditions for using this probability, the formula and some examples that clarify how to use it.

Binomial Distribution: Definition, Formula & Examples

8. Binomial Distribution: Definition, Formula & Examples

You have a probability distribution to create, which one do you use? That depends. In this lesson, learn about binomial distributions, get examples and criteria for their use, and learn how to calculate the binomial distribution formula.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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