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Compound events and sample spaces

7th grade (Year 8 in England) · 16 questions · Common Core: 7.SP.C.8 · England: KS3 Probability, GCSE Foundation Probability

Name

Date

Score/ 16

  1. Question 1

    Daniel has 5 T-shirts, 4 pairs of trousers and 2 pairs of trainers. How many different outfits (one of each) can Daniel make?

    Answer

  2. Question 2

    Two fair dice are rolled and the scores added. What is the probability the total is 3? Give a fraction in simplest form.

    Answer(as a fraction)

  3. Question 3

    A coin is flipped and a six-sided dice is rolled. What is the probability of heads and a 4? Give a fraction.

    Answer(as a fraction)

  4. Question 4

    Grace has 2 T-shirts, 2 pairs of trousers and 2 pairs of trainers. How many different outfits (one of each) can Grace make?

    Answer

  5. Question 5

    Two fair dice are rolled and the scores added. What is the probability the total is 9? Give a fraction in simplest form.

    Answer(as a fraction)

  6. Question 6

    A coin is flipped 3 times. How many outcomes are in the sample space?

    Answer

  7. Question 7

    Ben has 3 T-shirts, 2 pairs of trousers and 2 pairs of trainers. How many different outfits (one of each) can Ben make?

    Answer

  8. Question 8

    Two fair dice are rolled and the scores added. What is the probability the total is 4? Give a fraction in simplest form.

    Answer(as a fraction)

  9. Question 9

    A coin is flipped and a six-sided dice is rolled. What is the probability of heads and a 1? Give a fraction.

    Answer(as a fraction)

  10. Question 10

    Zoe has 2 T-shirts, 3 pairs of trousers and 2 pairs of trainers. How many different outfits (one of each) can Zoe make?

    Answer

  11. Question 11

    Two fair dice are rolled and the scores added. What is the probability the total is 7? Give a fraction in simplest form.

    Answer(as a fraction)

  12. Question 12

    A coin is flipped and a six-sided dice is rolled. What is the probability of heads and a 2? Give a fraction.

    Answer(as a fraction)

  13. Question 13

    Hiro has 3 T-shirts, 2 pairs of trousers and 2 pairs of trainers. How many different outfits (one of each) can Hiro make?

    Answer

  14. Question 14

    Two fair dice are rolled and the scores added. What is the probability the total is 9? Give a fraction in simplest form.

    Answer(as a fraction)

  15. Question 15

    A coin is flipped 3 times. How many outcomes are in the sample space?

    Answer

  16. Question 16

    Kwame has 5 T-shirts, 2 pairs of trousers and 3 pairs of trainers. How many different outfits (one of each) can Kwame make?

    Answer

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Answer key: Compound events and sample spaces

  1. 1. 40

  2. 2. 1/18

  3. 3. 1/12

  4. 4. 8

  5. 5. 1/9

  6. 6. 8

  7. 7. 12

  8. 8. 1/12

  9. 9. 1/12

  10. 10. 12

  11. 11. 1/6

  12. 12. 1/12

  13. 13. 12

  14. 14. 1/9

  15. 15. 8

  16. 16. 30