DANEMATHICS
FREE CAPS MATHS RESOURCES
Grade 8–9 · Probability
Probability: The Complete Grade 8–9 Guide
MEMORANDUM
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Mark
  / 20

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 bag has 3 red and 5 blue balls. P(red)? (single)
    (2)
    3⁄8✓✓ (2)
  2. 2
    P(rolling a number greater than 4 on a die)? (single)
    (2)
    5, 6 → 2⁄6 = 13✓✓ (2)
  3. 3
    A bag has 2 red, 3 blue, 5 yellow. P(yellow)? (single)
    (2)
    5⁄10 = 12✓✓ (2)
  4. 4
    If P(win) = 0,35, find P(not win). (complement)
    (2)
    1 − 0,35 = 0,65✓✓ (2)
  5. 5
    P(not rolling a 6 on a die)? (complement)
    (2)
    1 − 1⁄6 = 5⁄6✓✓ (2)
  6. 6
    A spinner is 4 equal colours. P(not green)? (complement)
    (2)
    1 − 14 = 34✓✓ (2)
  7. 7
    A die is rolled 60 times; a 3 comes up 12 times. Relative frequency? (rel. freq.)
    (2)
    12⁄60 = 0,2✓✓ (2)
  8. 8
    Two coins are tossed. P(one head and one tail)? (two events)
    (2)
    HT or TH → 2⁄4 = 12✓✓ (2)
  9. 9
    Two coins are tossed. P(no heads)? (two events)
    (2)
    Only TT → 14✓✓ (2)
  10. 10
    P(drawing a vowel) from the letters of MATHS? (single)
    (2)
    Only A → 1⁄5✓✓ (2)
TOTAL: 20 marks
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