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Free tool · Quizzes and practice

Probability Quiz Generator

Make a probability quiz with answers as fractions in simplest form: counters in a bag, dice, playing cards, two dice and coins, with the outcomes counted in the solution.

  • Free
  • No sign-up to try
  • Works as you type
Difficulty

Preview: 10 questions

  1. 1. A bag has 1 green, 6 black, 3 blue and 3 white counters. One counter is taken at random. What is the probability that it is black?

  2. 2. A bag has 5 red, 8 black, 8 green and 7 blue counters. One counter is taken at random. What is the probability that it is blue?

  3. 3. A bag has 4 red, 1 yellow, 3 green and 8 white counters. One counter is taken at random. What is the probability that it is red?

  4. 4. A bag has 4 red, 3 blue, 8 white and 7 green counters. One counter is taken at random. What is the probability that it is white?

  5. 5. A bag has 8 green and 2 blue counters. One counter is taken at random. What is the probability that it is green?

  6. 6. A bag has 9 black, 4 blue, 3 green and 2 red counters. One counter is taken at random. What is the probability that it is blue?

  7. 7. A bag has 1 black, 2 yellow and 9 blue counters. One counter is taken at random. What is the probability that it is yellow?

  8. 8. A bag has 4 black, 9 yellow, 4 green and 9 blue counters. One counter is taken at random. What is the probability that it is green?

  9. 9. A bag has 8 red and 8 blue counters. One counter is taken at random. What is the probability that it is blue?

  10. 10. A bag has 4 green, 1 black, 2 white and 7 red counters. One counter is taken at random. What is the probability that it is white?

Free, no sign-up to try. Your quiz becomes a Room you can edit, publish and share.

See a worked example

How it works

How the Probability Quiz Generator works

  1. 1

    Pick skills and difficulty

    Choose the skills to practise, how hard, and how many questions.

  2. 2

    Try it here

    The quiz appears as you choose. Answer a few and check them to see the worked solutions.

  3. 3

    Create the Room

    One click makes it a quiz Room with a tutor that gives hints. Publish it and share the link.

Worked example

What it makes

Three questions from a easier quiz on probability, with the answers and worked solutions the quiz shows after checking.

  1. 1. A bag has 1 green, 6 black, 3 blue and 3 white counters. One counter is taken at random. What is the probability that it is black?

    Options: 7/13 · 6/13 · 1/4 · 6/7

    Answer: 6/13

    There are 13 counters and 6 are black: P = 6/13.

  2. 2. A bag has 5 red, 8 black, 8 green and 7 blue counters. One counter is taken at random. What is the probability that it is blue?

    Options: 1/2 · 1/3 · 1/4 · 3/4

    Answer: 1/4

    There are 28 counters and 7 are blue: P = 7/28 = 1/4.

  3. 3. A bag has 4 red, 1 yellow, 3 green and 8 white counters. One counter is taken at random. What is the probability that it is red?

    Options: 1/3 · 1/4 · 1/2 · 3/4

    Answer: 1/4

    There are 16 counters and 4 are red: P = 4/16 = 1/4.

Who it's for

Who uses it

  • Maths teachers

    Practice on probability as a fraction of equally likely outcomes.

  • Learners

    See every outcome listed for dice and coins.

  • Tutors

    Catch the 'every total from 2 to 12 is equally likely' mistake.

Good to know

What to consider

  • Answers are fractions in simplest form.
  • Level 1 uses bags of counters, level 2 adds 'not' questions, dice and cards, level 3 two dice and coins.
  • Card questions assume a standard 52-card pack without jokers.

Questions

About the Probability Quiz Generator

Does it include tree diagrams?

Not as diagrams. Questions about two dice or several coins list every outcome instead.

How do I know the answers are right?

The questions are computed, not written by AI: each answer is worked out with exact arithmetic and checked again by a separate solver in our tests. Every question shows its worked solution after the learner checks their answers.

Can my students use it without an account?

Yes. Publish the Room and share the link: anyone with it can take the quiz, check their answers and read the worked solutions. You need a free account to keep and publish the Room.

Make your quiz now

Free, no sign-up to try. It becomes a Room you can edit, publish and share.

Create my quiz

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