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20 questions and an answer page, sized for A4.

Probability without replacement

Year 10 · Statistics & Probability · 20 questions

Name
Date
  1. 1.
    A fair die is rolled 3 times. What is the probability of getting at least one 6?
  2. 2.
    A bag has 3 red and 5 blue counters. Two are taken out without replacement. What is the probability both are red?
  3. 3.
    A bag has 2 red and 5 blue counters. Two are taken out without replacement. What is the probability they are different colours?
  4. 4.
    A bag has 2 red and 3 blue counters. Two are taken out without replacement. What is the probability both are red?
  5. 5.
    A bag has 2 red and 4 blue counters. Two are taken out without replacement. What is the probability they are different colours?
  6. 6.
    A bag has 5 red and 4 blue counters. Two are taken out without replacement. What is the probability both are red?
  7. 7.
    A bag has 2 red and 3 blue counters. Two are taken out without replacement. What is the probability they are different colours?
  8. 8.
    A bag has 3 red and 2 blue counters. Two are taken out without replacement. What is the probability they are different colours?
  9. 9.
    A bag has 5 red and 2 blue counters. Two are taken out without replacement. What is the probability they are different colours?
  10. 10.
    A bag has 4 red and 4 blue counters. Two are taken out without replacement. What is the probability both are red?
  11. 11.
    A bag has 2 red and 5 blue counters. Two are taken out without replacement. What is the probability both are red?
  12. 12.
    A bag has 4 red and 3 blue counters. Two are taken out without replacement. What is the probability they are different colours?
  13. 13.
    A bag has 3 red and 5 blue counters. Two are taken out without replacement. What is the probability they are different colours?
  14. 14.
    A fair die is rolled 2 times. What is the probability of getting at least one 6?
  15. 15.
    A bag has 2 red and 4 blue counters. Two are taken out without replacement. What is the probability both are red?
  16. 16.
    A bag has 4 red and 4 blue counters. Two are taken out without replacement. What is the probability they are different colours?
  17. 17.
    A bag has 5 red and 5 blue counters. Two are taken out without replacement. What is the probability both are red?
  18. 18.
    A bag has 5 red and 2 blue counters. Two are taken out without replacement. What is the probability both are red?
  19. 19.
    A bag has 5 red and 3 blue counters. Two are taken out without replacement. What is the probability both are red?
  20. 20.
    A bag has 5 red and 5 blue counters. Two are taken out without replacement. What is the probability they are different colours?

Free maths worksheets and practice: rocketdigits.com/learn/probability-without-replacement

Answers: Probability without replacement

  1. 91216
  2. 328
  3. 1021
  4. 110
  5. 815
  6. 518
  7. 35
  8. 35
  9. 1021
  10. 314
  11. 121
  12. 47
  13. 1528
  14. 1136
  15. 115
  16. 47
  17. 29
  18. 1021
  19. 514
  20. 59

Free maths worksheets and practice: rocketdigits.com/learn/probability-without-replacement

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