# Ch 19: NY Regents - Probability Mechanics: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering integrated algebra material will benefit from taking this course. There is no faster or easier way to learn integrated algebra. Among those who would benefit are:

- Students who have fallen behind in understanding factorials or working with the binomial theorem
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about probability mechanics
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the Probability Mechanics 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 Probability Mechanics chapter exam to be prepared.**Get Extra Support**: Ask our subject-matter experts any probability mechanics question. They're here to help!**Study With Flexibility**: Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in a Probability Mechanics unit of a standard integrated algebra course. Topics covered include:

- Factorials
- The binomial theorem

### 1. What Is a Factorial?

Factorials are operations in which a given natural number is multiplied by all previous numbers in a sequence, typically all integers smaller than themselves. Learn the fundamental counting principles and how factorials calculate potential outcomes with two examples.

### 2. Factorial Practice Problems

Factorials are a process of multiplying a number by all previous integers smaller than itself. Learn how factorials appear as fractions and algebraic expressions and solve practice problems using multiplication and division.

### 3. What is the Binomial Theorem?

The binomial theorem is all about patterns to mathematicians and is a method for raising algebraic expressions with two terms to an exponent. Learn more about the definition of the binomial theorem, the F.O.I.L. technique, Pascal's Triangle, and how to use them to solve a complex equation.

### 4. Binomial Theorem Practice Problems

The binomial theorem can be broken down into three steps using Pascal's Triangle and writing decreasing powers of the first term and increasing powers of the second term. Learn how these three steps of the binomial theorems apply by following them to solve practice problems.

### Earning College Credit

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### Other Chapters

Other chapters within the NY Regents Exam - Integrated Algebra: Help and Review course

- NY Regents - Number Theory & Basic Arithmetic: Help and Review
- NY Regents - Problems with Decimals and Fractions: Help and Review
- NY Regents - Problems with Percents: Help and Review
- NY Regents - Problems with Exponents: Help and Review
- NY Regents - Problems with Exponential Expressions: Help and Review
- Radical Expressions & Equations Problems: Help & Review
- Algebraic Expression & Equation Problems: Help & Review
- NY Regents - Distributing Terms in Algebra: Help and Review
- Inequalities & Linear Equations in Algebra: Help & Review
- NY Regents - Matrices and Absolute Value: Help and Review
- NY Regents - Overview of Functions: Help and Review
- NY Regents - Factoring with Variables: Help and Review
- NY Regents - Quadratics & Polynomials: Help and Review
- NY Regents - Rational Expressions: Help and Review
- NY Regents - Graphing Functions: Help and Review
- Ratios, Percent & Proportions: Help & Review
- NY Regents - Sets: Help and Review
- NY Regents - Probability and Statistics: Help and Review
- NY Regents - Working with Data: Help and Review
- NY Regents - Well-Known Equations: Help and Review
- NY Regents - Intro to Trigonometry: Help and Review
- NY Regents - Measurement for Algebra Students: Help and Review
- NY Regents - Geometry for Algebra Students: Help and Review
- NY Regents Exam - Integrated Algebra Help and Review Flashcards