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2 marksCounting

CAPE Pure Mathematics Unit 2 · May/June 2005 · Paper 2 · Question 5(a)(ii)a)

A service station offered 100 customers purchasing gasoline a free vehicle check. 15% bought premium gasoline, the rest regular. 20% of premium gasoline buyers requested brake fluid check, others engine oil. 51 regular gasoline buyers requested engine oil check, others brake fluid.

Find the probability that a customer chosen at random who had purchased premium gasoline requested a check for engine oil.

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Other parts of this question

  1. 5(a)(i)Copy and complete the diagram to represent the event space.[3 marks]
  2. 5(a)(ii)b)Find the probability that a customer chosen at random who had requested a check of the brake fluid purchased regular gasoline.[2 marks]
  3. 5(a)(ii)c)Find the probability that a customer chosen at random who had requested a check of the engine oil purchased regular gasoline.[2 marks]
  4. 5(b)(i)Calculate the total number of ways of choosing the three balls.[3 marks]
  5. 5(b)(ii)Calculate the probability that ONE ball of EACH colour is drawn.[3 marks]
  6. 5(b)(iii)Calculate the probability that ALL THREE balls drawn are of the SAME colour.[5 marks]

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