Lesson P9

P9 Conditional probability with two-way tables, tree and Venn diagrams Quiz: AQA Maths, Unit 5

20 questions

Written by Revision Ninja · Last reviewed 11 October 2026

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Lesson P9, Conditional probability with two-way tables, tree and Venn diagrams: 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. (H) Which expression is the formula for conditional probability P(A given B)?

    • P(A and B) / P(B)
    • P(A and B) x P(B)
    • P(B) / P(A and B)
    • P(A) + P(B)

  2. (H) A class has 40 students: 20 girls and 20 boys. 22 students take French, and 15 of the French students are girls. What is the probability that a randomly chosen girl takes French?

    • 0.15
    • 0.375
    • 0.55
    • 0.75

  3. (H) A bag has 3 red and 5 blue counters. Two counters are taken out without replacement. What is the probability that the second counter is red, given that the first counter is red?

    • 3/8
    • 2/7
    • 1/3
    • 2/8

  4. (H) In a survey of 60 people, 36 like tea, 24 like coffee and 12 like both. What is the probability that a person likes coffee, given that they like tea?

    • 1/2
    • 1/3
    • 24/60
    • 12/60

  5. (H) P(A) = 0.6, P(B) = 0.5 and P(A and B) = 0.3. What is P(B given A)?

    • 0.5
    • 0.18
    • 0.3
    • 0.6

  6. (H) The probability of event C is 0.4, and the probability of D given C is 0.25. What is the probability that both C and D happen?

    • 0.1
    • 0.65
    • 0.625
    • 0.25

  7. (H) Of 50 people, 20 play tennis and 12 of these also play football. What is the probability that a person who plays tennis also plays football?

    • 0.6
    • 0.12
    • 0.24
    • 0.4

  8. (H) In a box, the probability that an item is red is 0.3. Given that an item is red, the probability it is also round is 0.5. What is the probability that an item is red and round?

    • 0.8
    • 0.15
    • 0.6
    • 0.35

  9. (H) In a survey of 100 people, 60 like A, 50 like B and 10 like neither. What is the probability that a person who likes A also likes B?

    • 1/3
    • 1/5
    • 2/5
    • 1/2

  10. (H) P(A) = 0.5 and P(B) = 0.4, and events A and B are independent. What is P(A given B)?

    • 0.2
    • 0.9
    • 0.5
    • 0.4

  11. (H) Of 20 items, 12 are good. 9 of the 12 good items pass a test. What is the probability that a good item passes the test?

    • 4/5
    • 3/4
    • 9/20
    • 3/5

  12. (H) A card is drawn from a standard pack of 52 cards. Given that it is a heart, what is the probability that it is a queen?

    • 1/52
    • 4/13
    • 1/4
    • 1/13

  13. (H) In 300 trials, 120 outcomes are A and 90 of these are also B. What is P(B given A)?

    • 0.75
    • 0.3
    • 0.4
    • 0.9

  14. (H) Of 40 people, 25 wear glasses, 15 wear hats and 5 wear both. What is the probability that a person wearing a hat also wears glasses?

    • 5/25
    • 15/40
    • 1/3
    • 5/40

  15. (H) P(X) = 0.7 and P(Y given X) = 0.2. What is P(X and Y)?

    • 0.35
    • 0.9
    • 0.5
    • 0.14

  16. (H) A fair six-sided die is rolled and the score is even. What is the probability that the score is greater than 2?

    • 1/2
    • 1/3
    • 1/6
    • 2/3

  17. (H) In a two-way table, 80 people are in group B and 24 of them are also in group A. What is P(A given B)?

    • 0.2
    • 0.8
    • 0.3
    • 0.24

  18. (H) P(first success) = 0.4, P(second success given first success) = 0.5, and P(second success given first failure) = 0.25. What is P(second success)?

    • 0.35
    • 0.2
    • 0.5
    • 0.65

  19. (H) P(A) = 0.4 and P(B given A) = 0.5. What is P(A and B)?

    • 0.2
    • 0.9
    • 0.8
    • 0.1

  20. (H) P(A) = 0.3 and P(B given A) = 0.5. What is P(A and B)?

    • 0.6
    • 0.8
    • 0.35
    • 0.15

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