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Grade 11 · Probability
Tree Diagrams & Two-Way Tables (Grade 11)
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Answer all questions. Show all your working — marks are awarded for method as well as the final answer.

  1. 1
    A bag holds 5 red and 3 blue beads. Two are drawn without replacement. Draw the tree diagram and calculate P(both red).
    (2)
    583847375727RBRBRBfirst beadsecond bead
  2. 2
    Using the tree diagram below, calculate P(one of each colour).
    (2)
    583847375727RBRBRBfirst beadsecond bead
  3. 3
    Using the tree diagram below, calculate P(both blue).
    (2)
    583847375727RBRBRBfirst beadsecond bead
  4. 4
    If the two beads were drawn WITH replacement, calculate P(both red).
    (2)
  5. 5
    In the two-way table (Male: 42 bus, 18 walk; Female: 28 bus, 12 walk), calculate P(female).
    (2)
  6. 6
    For the same table, calculate P(walks to school).
    (2)
  7. 7
    For the same table, determine whether 'male' and 'bus' are independent.
    (2)
  8. 8
    State the rule for multiplying along a tree and adding between paths.
    (2)
TOTAL: 16 marks
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