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4 marksProbability Diagrams (Possibility Space, Tree, Venn)

CSEC Additional Mathematics · 2012 · Paper 2 · Question 7(a)

A survey found that 25% of households owned a laptop, 70% owned a desktop, and 12% owned both. A sample household is selected randomly.

Determine the proportion that own NEITHER a laptop NOR a desktop computer.

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Other parts of this question

  1. 7(b)(i)Find the probability that the marbles drawn are ALL of the SAME colour.[3 marks]
  2. 7(b)(ii)Find the probability that the marbles drawn contain EXACTLY 1 red marble.[3 marks]
  3. 7(c)(i)Illustrate this information on a tree diagram showing the probability on all branches.[3 marks]
  4. 7(c)(ii)a)A garage is chosen at random, determine the probability that the taxi will arrive late.[3 marks]
  5. 7(c)(ii)b)A garage is chosen at random, determine the probability that the taxi will come from garage C given that it is late.[4 marks]

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