Grade 12 Probability and Combinatorics Worksheet

This worksheet covers fundamental concepts in probability and combinatorics, including permutations, combinations, and basic probability calculations, suitable for Grade 12 students.

Grade 12 Math Probability and StatisticsProbability and Combinatorics

Use This Worksheet

Includes

Multiple ChoiceFill in the BlanksShort AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSS.CP.B.9CCSS.MATH.CONTENT.HSS.MD.A.2

Topics

ProbabilityCombinatoricsPermutationsCombinationsGrade 12 Math

6 sections · Free to use · Printable

← More Math worksheets for Grade 12

Probability and Combinatorics

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?

120

625

2. A committee of 3 people is to be chosen from a group of 7 people. How many different committees can be formed?

210

840

3. A permutation is an arrangement of objects in a specific .

4. The probability of an event is the ratio of the number of favorable outcomes to the total number of outcomes.

5. A bag contains 4 red marbles and 6 blue marbles. If two marbles are drawn without replacement, what is the probability that both are red? Show your work.

6. Explain the difference between a permutation and a combination, and provide an example for each.

7. The number of ways to arrange n distinct objects in a circle is (n-1)!.

True

False

8. If P(A) = 0.4 and P(B) = 0.5, and A and B are independent events, then P(A and B) = 0.9.

True

False