Lesson 3p.01

3p.01 Use collected data to calculate estimates of probabilities Quiz: Pearson Edexcel Statistics, Unit 3

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson 3p.01, Use collected data to calculate estimates of probabilities: 20 multiple choice questions for the Pearson Edexcel GCSE Statistics (1ST0), Unit 3: Probability, written with Revision Ninja.

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The 20 questions

  1. How is relative frequency calculated from experimental data?

    • Trials divided by occurrences
    • Occurrences divided by trials
    • Occurrences plus trials
    • Trials minus occurrences

  2. A die is rolled 50 times and shows a six 9 times. What is the estimated probability of a six?

    • 0.50
    • 0.18
    • 0.22
    • 0.09

  3. What does relative frequency measure?

    • Total frequency
    • Outcome proportion
    • Theoretical probability
    • Sample range

  4. What typically happens to relative frequency estimates as the number of trials increases?

    • They stabilise
    • They become infinite
    • They fluctuate wildly
    • They drop to zero

  5. 12 of 40 sweets are blue. What is the relative frequency of blue?

    • 0.4
    • 3.33
    • 0.3
    • 0.12

  6. What is the permitted range of probability values?

    • 0 to 1 inclusive
    • -1 to 1
    • 0 to 100
    • 1 to 10

  7. A survey of 200 shoppers finds 50 bought bread. What is the estimated probability a shopper buys bread?

    • 0.4
    • 0.5
    • 4
    • 0.25

  8. What is the main benefit of using many trials to estimate probability?

    • Higher bias
    • Shorter time
    • Improved reliability
    • Fewer calculations

  9. A bag contains counters. In 100 draws with replacement, red appeared 35 times. What is the estimate of P(red)?

    • 0.035
    • 35
    • 0.35
    • 0.65

  10. A coin is tossed 200 times and lands heads 130 times. What is the estimate of P(tails)?

    • 0.35
    • 0.13
    • 0.65
    • 0.7

  11. A machine produced 500 items and 15 were faulty. What is the estimated probability an item is faulty?

    • 33.3
    • 0.3
    • 0.97
    • 0.03

  12. 80 customers were recorded and 24 paid by card. What is the estimated probability a customer pays cash?

    • 0.3
    • 0.24
    • 0.7
    • 0.76

  13. It rained on 15 of 60 days. What is the estimated probability it rains on a random day?

    • 4
    • 0.15
    • 0.75
    • 0.25

  14. A spinner was spun 120 times and stopped on section B 42 times. What is the estimated probability of B?

    • 0.35
    • 0.3
    • 0.4
    • 0.42

  15. 50 people were surveyed and 18 wear glasses. What is the probability a person wears glasses, as a percentage?

    • 36%
    • 32%
    • 18%
    • 50%

  16. 40 light bulbs were tested and 2 failed in the first year. What is the estimated probability of failure in year one?

    • 0.02
    • 0.5
    • 0.05
    • 0.2

  17. Which probability estimate from trials is more reliable, 30/100 or 300/1000?

    • Both equal
    • 30/100
    • 300/1000
    • Neither

  18. Why can a relative frequency from only 5 trials be misleading?

    • Chance variation
    • Exact probability
    • Sample bias
    • High precision

  19. Why is a relative frequency of 0.48 from 1000 coin tosses reasonable?

    • Close to 0.5
    • Proves unfairness
    • Impossible result
    • Exactly 0.5

  20. Records show 35 late buses out of 250 journeys. How is P(bus late) estimated?

    • 1 - 35 / 250 = 0.86
    • 35 x 2 = 0.7
    • 35 / 1000 = 0.035
    • 35 / 250 = 0.14

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