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Celeste International School

Grade 4 · Worksheet

Probability

Experiments and simulations

Name: ______________________________Date: ______________Score: ______ / 20
  1. 1.

    What is a simulation?

    1. Ausing something easy to do to stand in for something you cannot easily test
    2. Ba guess about what will happen
    3. Ca list of everything that could happen
  2. 2.

    When is a simulation appropriate?

    1. Awhen its outcomes are as likely as the real ones
    2. Bwhen it is quick to do
    3. Cwhen it uses a coin
  3. 3.

    A simulation works as long as you repeat it enough times.

    True False
  4. 4.

    A kitten being male and a kitten being female are equally likely.

    True False
  5. 5.

    A spreadsheet makes random numbers from 1 to 3. How many of them are EVEN?

  6. 6.

    Using random numbers 1 to 5 with odd for heads and even for tails is a fair coin simulation.

    True False
  7. 7.

    Is a fair coin an appropriate simulation for a dice landing on 1 to 6?

    1. Ano
    2. Byes
  8. 8.

    Is a four-section fair spinner an appropriate simulation for picking one of four equally likely colours?

    1. Ano
    2. Byes
  9. 9.

    Is a bag with 2 red and 1 blue ball an appropriate simulation for a coin landing heads or tails?

    1. Ano
    2. Byes
  10. 10.

    Is a fair coin an appropriate simulation for picking one of four equally likely colours?

    1. Ano
    2. Byes
  11. 11.

    A six-section fair spinner can be used to simulate rolling a dice.

    True False
  12. 12.

    You roll two dice and find the DIFFERENCE between the numbers. What is the largest difference possible?

    1. A6
    2. B5
    3. C12
  13. 13.

    When you roll two dice and find the difference, are all the outcomes equally likely?

    1. Ayes — every difference is equally likely
    2. Bno — some differences happen in more ways than others
    3. Cyes, because the dice are fair
  14. 14.

    What is the FREQUENCY of an outcome?

    1. Ahow likely it is to happen
    2. Bhow many times it happened
    3. Cthe biggest result
  15. 15.

    A small number of trials can give a misleading result.

    True False
  16. 16.

    You roll two dice 40 times. A difference of 0 came up 12 times and a difference of 1 came up 6 times. How many rolls gave some other difference?

  17. 17.

    A tally chart shows frequencies of 5, 8 and 7. How many trials were there altogether?

  18. 18.

    Arun never saw a cylinder in eight looks. What can you conclude?

    1. Athere is definitely no cylinder
    2. Bthe bag has no shapes left
    3. Cthere might still be a cylinder he did not happen to pick
  19. 19.

    If Arun sees a shape once, there is definitely only one of that shape in the bag.

    True False
  20. 20.

    How would you describe the likelihood of a dice landing on 7?

    1. Aeven chance
    2. Bno chance
    3. Ccertain
Celeste International School

Answer key

Probability — Experiments and simulations

  1. 1.A. using something easy to do to stand in for something you cannot easily test
  2. 2.A. when its outcomes are as likely as the real ones
  3. 3.False
  4. 4.True
  5. 5.1
  6. 6.False
  7. 7.A. no
  8. 8.B. yes
  9. 9.A. no
  10. 10.A. no
  11. 11.True
  12. 12.B. 5
  13. 13.B. no — some differences happen in more ways than others
  14. 14.B. how many times it happened
  15. 15.True
  16. 16.22
  17. 17.20
  18. 18.C. there might still be a cylinder he did not happen to pick
  19. 19.False
  20. 20.B. no chance