Ch 10: Probability Mechanics

About This Chapter

Watch informative and engaging probability mechanics video lessons with short quizzes for immediate feedback. Learn about factorials, the binomial theorem and more.

Probability Mechanics

If algebra doesn't normally excite you, you probably wouldn't expect to see exclamation points found in the expressions and equations you deal with. But did you know that the exclamation point is actually a part of proper math notation? In this series of lessons, (hopefully) the exclamation point that's used in factorials will get you excited!

So what is a factorial? In these lessons, you'll learn how a factorial signifies the multiplication of any integer by all the natural numbers that are smaller than it. For example, 4 factorial (notated as 4!) equals 4*3*2*1. Easy enough; however, factorials can yield some significantly large numbers. You'll learn the proper operation of factorials and get plenty of practice evaluating factorial problems. You'll learn how to shorten them, divide them and multiply them, as well as understand their real-life applications, which include how to determine the number of outcomes in a particular situation or how many arrangements of objects are possible.

Moving on in the world of probability mechanics, you'll learn about the binomial theorem. The binomial theorem gives us a method to expand binomials (expressions with two terms) that are being raised to an exponent. These are especially useful when you need to expand binomials that would be too time-consuming to expand using the F.O.I.L. method. You'll learn about how Pascal's Triangle can help you organize your information and avoid mistakes. You'll also learn how to evaluate abstract examples, handle an expression's coefficients, and learn, again, how this concept can be applied to real life.

So get excited (!) for your study of factorials and the binomial theorem. Thanks for watching!

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