Discia GCSE Maths › Probability › Probability Language

Probability Language worksheet

9 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.

9 questions 20 marks Sheet 1
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  1. 1 mark

    A fair six-sided dice is rolled.

    Choose the word from this list that best describes the probability that the score is less than 7.

    impossible, unlikely, even chance, likely, certain

  2. 2 marks

    The probability that a seed taken from a packet grows into a plant is shown by the point marked A on the probability scale.

    number line00.10.20.30.40.50.60.70.80.91A
    (a)

    Write down this probability as a decimal.

    (b)

    Choose the word that best describes this probability: unlikely, even chance or likely.

  3. 3 marks

    A bag holds \(16\) counters. Each counter is pink, grey or brown.

    \(7\) of the counters are pink, \(8\) are grey and \(1\) are brown.

    One counter is taken from the bag at random.

    (a)

    Write down the colour the counter is most likely to be.

    (b)

    Write down the colour the counter is least likely to be.

    (c)

    Choose the word from this list that best describes the probability that the counter is pink.

    unlikely, even chance, likely

  4. 3 marks

    A bag contains 10 counters that are green and 4 counters that are red.

    One counter is taken at random.

    Leila says the probability that it is green is \(\frac{ 10 }{ 4 }\).

    (a)

    Explain how you can tell that Leila must be wrong, without working the probability out.

    (b)

    Find the correct probability, giving your answer as a fraction in its simplest form.

  5. 2 marks

    {tableshows} the probability of each of four events.

    EventABCD
    Probability \({va:dec}\) \({vb:pct}\) \({vc:frac}\) \({vd:dec}\)

    Write the four events in order of likelihood, starting with the least likely.

  6. 2 marks
    (a)

    The probability that it rains tomorrow is \(0.1\).

    Calculate the probability that it does not rain tomorrow.

    (b)

    Describe in words how likely it is that it does not rain tomorrow.

  7. 2 marks

    Which bag gives the better chance of taking a counter that is red?

    You must show your working.

  8. 2 marks

    Explain why the two spinners give the same chance of landing on gold.

  9. 3 marks

    Is {name} right?

    You must show your working.

Answers

  1. certain
  2. (a) \(0.2\)
    (b) unlikely
  3. (a) Grey
    (b) Brown
    (c) unlikely
  4. (a) \(\frac{ 10 }{ 4 }\) is bigger than 1, and no probability can be more than 1.
    (b) \(\frac{ 5 }{ 7 }\)
  5. {ordering}
  6. (a) \(0.9\)
    (b) very likely
  7. the first bag, because \(\frac{ 12 }{36}\) is bigger than \(\frac{ 6 }{36}\)
  8. Both probabilities simplify to \(\frac{ 1 }{ 5 }\), so the chance is the same.
  9. {verdict} — the probability is \({pct}\%\), which {fitword} match "{word}" on the scale.

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