Quelpr
3 marksCounting

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

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.

Copy and complete the diagram to represent the event space.

This question uses a figure or table from the paper — you'll see it when you practise.

The mark scheme is shown once you've answered.

Practise this question

Other parts of this question

  1. 5(a)(ii)a)Find the probability that a customer chosen at random who had purchased premium gasoline requested a check for engine oil.[2 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]

More practice: the rest of this paper · more Counting questions · all CAPE Pure Mathematics Unit 2 past papers