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Grade 11 · Probability
Probability: Venn Diagrams & Rules (Grade 11)
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  / 16

Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    In the Venn diagram below, 40 learners were surveyed. Determine n(A).
    (2)
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  2. 2
    Using the Venn diagram below, calculate P(A and B).
    (2)
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  3. 3
    Using the Venn diagram below, calculate P(A or B).
    (2)
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  4. 4
    Using the Venn diagram below, calculate the probability that a learner takes neither A nor B.
    (2)
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  5. 5
    P(A) = 0,4, P(B) = 0,5 and P(A and B) = 0,2. Are A and B independent? Show your working.
    (2)
  6. 6
    P(A) = 0,3, P(B) = 0,45 and A and B are mutually exclusive. Calculate P(A or B).
    (2)
  7. 7
    If P(A) = 0,62, calculate P(not A).
    (2)
  8. 8
    Explain the difference between mutually exclusive and complementary events.
    (2)
TOTAL: 16 marks
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