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Grade 12 · Probability
Counting Principles & Probability (Grade 12)
WORKSHEET
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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
    How many 4-digit PINs can be formed if digits may repeat?
    (2)
  2. 2
    How many 4-digit PINs can be formed if no digit may repeat?
    (2)
  3. 3
    In how many ways can 5 different books be arranged on a shelf?
    (2)
  4. 4
    4 boys and 3 girls sit in a row. In how many ways can they sit if the girls sit together?
    (2)
  5. 5
    For those 7 learners, calculate the probability that the girls sit together.
    (2)
  6. 6
    How many arrangements are there of the letters of the word LETTER?
    (2)
  7. 7
    Write down the value of 0!
    (2)
  8. 8
    Using the tree diagram below, calculate the probability that a person tests positive.
    (2)
    1545910110210810DD′TT′TT′has diseasetest result
TOTAL: 16 marks
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