Combinations Worksheets

What Are Combination Probabilities? Probability is the measure of the chances and possibilities that will return a desired outcome. There are different types of probability and combination is one of its types. So, what are combination probabilities? When we are dealing with arrangement of objects and the order does not matter, then we can use combination probability. The result of this probability shows us the total number of ways objects can be arranged without any defined order. When there is an order to follow, a combination probability is called permutation. The formula to calculate combination probabilities include; C(n,r) = n!/((n-r)!r!) | n! means, n × (n-1) × (n-2) ,..., (n-(n-1)).

  • Basic Lesson

    Introduces the fundamental Combinations. Provides a basic application. On the bookshelf, there are 4 math books, 5 history books and 3 geography books. If two books are selected randomly without replacement, what is the probability of getting: 1 math book and 1 history book?

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  • Intermediate Lesson

    This lesson focuses on using the Combinations with word problems. In the magician's hat, there are 4 rabbits, 5 handkerchiefs and 3 playing cards. If two items are selected randomly without replacement, what is the probability of getting 1 playing card and 1 handkerchief ?

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  • Independent Practice 1

    Students practice with 20 Combinations problems. The answers can be found below. A bag contains 4 red balls, 6 blue balls and 8 white balls. If two balls are selected one after one and first replaced; What is the probability of drawing...

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  • Independent Practice 2

    Another 20 Combinations problems. The answers can be found below.

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  • Homework Worksheet

    Reviews all skills in the unit. A great take home sheet. Also provides a practice problem.

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  • Skill Quiz

    10 problems that test Combinations skills.

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  • Homework and Quiz Answer Key

    Answers for the homework and quiz.

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  • Answer Key

    Answers for the lesson and practice sheets.

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