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Math 7 · Unit 13: Probability · Cambridge Lower Secondary Maths Stage 7

13.1 The probability scale

21 questions · e.g. Picking red from 9 red and 1 blue

Practice

Questions

  1. 1. Question 1a: which of these events is very unlikely to happen?

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  2. 2. Which of these events is likely to happen?

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  3. 3. Question 2a: you spin three coins at the same time. Describe the likelihood of getting three heads.

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  4. 4. Question 2b: you spin three coins at the same time. Describe the likelihood of getting at least one head.

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  5. 5. Question 2c: you spin three coins at the same time. Describe the likelihood of getting three tails or fewer.

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  6. 6. Question 3a: Look at the probability scale from 0 to 1. Which arrow shows an event that is best described as impossible?

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  7. 7. Question 3b: Look at the probability scale from 0 to 1. Which arrow shows an event that is best described as very likely?

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  8. 8. Question 3c: Look at the probability scale from 0 to 1. Which arrow shows an event that is best described as a little bit less than an even chance?

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  9. 9. Question 4: match each probability to a description.

    • 0.7
    • 8/15
    • 4%
    • 247/250
    • 50%
    • extremely likely
    • more likely than not
    • even chance
    • very unlikely
    • likely
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  10. 10. Put these probabilities in order, with the smallest first: 5/8, 60%, 0.9, 46.7%, 17/20

    Put these in order.

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  11. 11. Question 6a: Look at the probability scale from 0 to 1. Which arrow shows a probability of about 23%?

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  12. 12. Question 6b: Look at the probability scale from 0 to 1. Which arrow shows a probability of just over 3/4?

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  13. 13. Question 6c: Look at the probability scale from 0 to 1. Which arrow shows a probability of 0.55?

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  14. 14. Question 7a: the probability of rain tomorrow is 30%. The likelihood of sunshine is half the likelihood of rain. What is the probability of sunshine?

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  15. 15. The probability of rain tomorrow is 30%. The likelihood of strong winds is twice the likelihood of rain. Do strong winds have a more than even chance?

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  16. 16. Question 8: where would you show Hasini will definitely be late on a probability scale?

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  17. 17. Question 9: you spin a coin three times. The probability of getting three heads is 1/8. What is the probability of not getting three heads?

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  18. 18. Arun says the probability his team will win at least one of their next four matches is double the probability it will win tomorrow. Is Arun incorrect?

    The probability that my teamwill win tomorrow is 60%. Theprobability that my team will winat least one of their next fourmatches is double the probabilitythat they will win tomorrow.
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  19. 19. Marcus' sister is taking a driving test. Do you agree with Marcus?

    There are two outcomes.Either she will pass or shewill fail. It is like flippinga coin. The probability thatshe will pass is 1/2.
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  20. 20. Question 12a: the probability that a train will be late is 10%. What is the probability that the train will not be late?

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