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Grade 10 · Probability
Probability: Venn Diagrams & the Addition Rule (Grade 10)
MEMORANDUM
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  / 18

Answer all questions. Show all your working — marks are awarded for method as well as the final answer. Teacher copy: accept any correct equivalent method.

  1. 1
    A fair die is rolled. Find P(rolling a 4).
    (2)
    16✓✓ (2)
  2. 2
    Find P(rolling an even number) on a fair die.
    (2)
    36 = 12✓✓ (2)
  3. 3
    If P(A) = 0,3 find P(not A).
    (2)
    1 − 0,3 = 0,7✓✓ (2)
  4. 4
    State the addition rule.
    (2)
    P(A or B) = P(A) + P(B) − P(A and B)✓✓ (2)
  5. 5
    If A and B are mutually exclusive, what is P(A and B)?
    (2)
    0✓✓ (2)
  6. 6
    From the Venn diagram, find P(A and B).
    (2)
    S A B 12 8 10 5 n(S) = 35 · n(A) = 20 · n(B) = 18 · n(A and B) = 8
    835✓✓ (2)
  7. 7
    From the Venn diagram, find P(A or B).
    (2)
    S A B 12 8 10 5 n(S) = 35 · n(A) = 20 · n(B) = 18 · n(A and B) = 8
    3035 = 67✓✓ (2)
  8. 8
    From the Venn diagram, find P(neither A nor B).
    (2)
    S A B 12 8 10 5 n(S) = 35 · n(A) = 20 · n(B) = 18 · n(A and B) = 8
    535 = 17✓✓ (2)
  9. 9
    n(A) = 20 and 8 are in both. How many take ONLY A?
    (2)
    S A B 12 8 10 5 n(S) = 35 · n(A) = 20 · n(B) = 18 · n(A and B) = 8
    20 − 8 = 12✓✓ (2)
TOTAL: 18 marks
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