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Grade 9 Probability and Combinatorics Worksheet

This worksheet covers fundamental concepts in probability and combinatorics for Grade 9 students, including permutations, combinations, and basic probability calculations.

Grade 9 Math Probability and StatisticsProbability and Combinatorics
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Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / FalseMatching

Standards

CCSS.MATH.CONTENT.HSS.CP.B.9CCSS.MATH.CONTENT.HSS.CP.A.1
7 sections · Free to use · Printable
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Probability and Combinatorics

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

1. In how many ways can 5 different books be arranged on a shelf?

a

5

b

10

c

20

d

120

2. A bag contains 3 red marbles and 2 blue marbles. What is the probability of drawing a red marble?

a

1/5

b

2/5

c

3/5

d

4/5

3. A   is an arrangement of objects in which the order matters.

4. A   is a selection of objects in which the order does not matter.

5. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, 5 if repetition of digits is allowed?

6. A committee of 4 people is to be selected from a group of 10 people. How many different committees can be formed?

7. The probability of an event that is impossible is 0.

T

True

F

False

8. If you flip a fair coin twice, the probability of getting two heads is 1/2.

T

True

F

False

Match each term on the left with its definition on the right.

9. Permutation

 

a. The likelihood of an event occurring

10. Combination

 

b. An arrangement of objects where order matters

11. Probability

 

c. A selection of objects where order does not matter