Lesson P2

P2 Expected outcomes of multiple future experiments Quiz: AQA Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson P2, Expected outcomes of multiple future experiments: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 5: Probability, written with Revision Ninja.

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The 20 questions

  1. A fair coin is tossed 40 times. What is the expected number of heads?

    • 80
    • 20
    • 10
    • 40

  2. What is the expected number of sixes from 60 rolls of a fair dice?

    • 60
    • 1/6
    • 10
    • 6

  3. Which formula gives the expected number of occurrences of an outcome?

    • Probability plus the number of trials
    • Number of trials divided by probability
    • Probability divided by the number of trials
    • Probability times the number of trials

  4. A spinner has P(red) = 0.3. How many reds are expected in 200 spins?

    • 30
    • 67
    • 60
    • 200

  5. What assumption is needed to predict expected outcomes from probabilities?

    • All of the trials must be completed within a single day only
    • The experiment must be biased in favour of one particular outcome
    • There must be only one trial, with its result recorded exactly
    • Each outcome has the stated probability, as in a fair or known model

  6. A fair dice is rolled 90 times. How many odd numbers are expected?

    • 30
    • 90
    • 45
    • 15

  7. The probability of success in a trial is 0.15. How many successes are expected in 300 trials?

    • 20
    • 45
    • 300
    • 15

  8. What does an expected result describe?

    • The only result that can happen in any run
    • A guaranteed result that will occur on every run
    • The exact result of one trial, known in advance
    • A prediction of the average long-run outcome

  9. The chance of rain on any day is 0.4. How many rainy days are expected over 25 days?

    • 10
    • 0.4
    • 6.25
    • 15

  10. A game has a win probability of 1/8. How many wins are expected in 96 plays?

    • 8
    • 12
    • 96
    • 88

  11. Two independent experiments each have 50 trials of an event with probability 0.2. What is the total expected number of occurrences?

    • 10
    • 40
    • 50
    • 20

  12. A fair dice is rolled 180 times. How many times is a 5 or 6 expected?

    • 30
    • 120
    • 60
    • 90

  13. A factory has a defect probability of 0.02. How many defective items are expected in a batch of 4000?

    • 80
    • 8
    • 800
    • 200

  14. A spinner has 5 equal sections, one labelled win. How many wins are expected in 75 spins?

    • 25
    • 5
    • 15
    • 75

  15. Each of 40 students has a 0.25 chance of scoring 3 points. What is the total expected number of points?

    • 30
    • 12
    • 75
    • 10

  16. An event has probability 0.7 in 20 trials. How many times is it expected not to occur?

    • 6
    • 0.3
    • 20
    • 14

  17. An event has probability 0.36. How many trials give an expected count of 27?

    • 97
    • 27
    • 75
    • 9

  18. A game costs 2 pounds to play, and a win has probability 0.1 and pays 15 pounds. What is the expected net gain per game?

    • 0.50 pounds
    • -0.50 pounds
    • -1.50 pounds
    • 1.50 pounds

  19. An outcome has probability 0.25 and an expected count of 12. How many trials were there?

    • 3
    • 24
    • 48
    • 12

  20. A raffle has 2000 tickets with a win probability of 0.0015 for each. How many winners are expected?

    • 3
    • 30
    • 1.5
    • 15

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