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Grade 10 Probability and Combinatorics Worksheet

This worksheet covers fundamental concepts in probability and combinatorics for Grade 10 students, including permutations, combinations, and basic probability calculations.

Grade 10 Math Probability and StatisticsProbability and Combinatorics
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Includes

2 Multiple ChoiceFill in the Blanks3 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSS.CP.B.9CCSS.MATH.CONTENT.HSS.CP.A.1

Topics

probabilitycombinatoricspermutationscombinationsgrade 10math
9 sections · Free to use · Printable
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Probability and Combinatorics Review

Name:

Date:

Score:

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

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

a

5

b

25

c

120

d

625

2. A permutation is an arrangement of objects where the order  , while a combination is an arrangement where the order  .

3. A bag contains 3 red marbles, 4 blue marbles, and 5 green marbles. If you pick one marble at random, what is the probability that it is blue?

4. How many different committees of 3 people can be chosen from a group of 8 people?

a

24

b

56

c

336

d

40,320

5. A standard deck of 52 cards is shuffled. What is the probability of drawing a King or a Queen?

6. The probability of an event occurring can be greater than 1.

T

True

F

False

7. You are creating a password that must be 4 characters long. If you can use any letter (uppercase or lowercase) or digit (0-9), and repetition is allowed, how many possible passwords can you create?