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Free 11th Grade Statistics & Probability Worksheets

3 free statistics & probability resources for 11th Grade: 2 worksheets, 1 study guide. Answers included.

Data, graphs, averages and chance. 11th grade is the first year of senior study.

Students will practice: applying the addition rule and the complement to find probabilities; drawing tree diagrams for events with and without replacement and multiplying along branches; calculating conditional probabilities using P(A | B) = P(A ∩ B) ÷ P(B); testing whether two events are independent; using the multiplication principle and factorial notation to count arrangements; calculating permutations with nPr, including repeated objects and restrictions; calculating combinations with nCr and deciding whether order matters; finding probabilities by counting favorable and total selections.

Type:
Level:

Worksheets

Printable practice with an answer sheet.

  • Worksheet

    Counting Techniques: Permutations and Combinations

    A senior math worksheet on counting: the multiplication principle, factorials, permutations (including repeated letters, restrictions and…

    Difficulty
    Level 2 · Standard
    Time
    45 min
    Questions
    17 questions
    Answers
    Answers included
  • Worksheet

    Discrete Random Variables and Expected Value

    A senior math worksheet on discrete probability distributions: checking that a table is a valid distribution, finding unknown…

    Difficulty
    Level 3 · Challenge
    Time
    45 min
    Questions
    15 questions
    Answers
    Answers included

Study Guides

Clear explanations, examples and tips.

  • Study Guide

    Probability: Tree Diagrams and Conditional Probability

    A senior study guide to multi-stage probability: the addition and multiplication rules, tree diagrams with and without replacement,…

    Difficulty
    Level 2 · Standard
    Time
    25 min

All statistics & probability worksheets, every grade →

Common questions

What do 11th Grade students learn about statistics & probability?

Data, graphs, averages and chance. At 11th Grade, our resources focus on: applying the addition rule and the complement to find probabilities; drawing tree diagrams for events with and without replacement and multiplying along branches; calculating conditional probabilities using P(A | B) = P(A ∩ B) ÷ P(B); testing whether two events are independent.

Where should we start?

Read the study guide first, then start with the Level 1 or Level 2 worksheet. Finish with the topic test.

Are answers included?

Yes — every worksheet has an answer sheet. Maths answer sheets show the working; English tasks include model answers or success criteria.

How to use these resources

  1. Start with the Level 1 worksheet for the topic — if it's easy, move up a level.
  2. Use the answer sheet's working, not just the final answer, to check the method.
  3. Finish a topic with the topic test to see whether the skill is secure.
  4. Two or three short sessions a week beat one long one.

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