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3 marksProbability Theory

CAPE Applied Mathematics Unit 1 · 2015 · Paper 2 · Question 3(a)(ii)

At a cafeteria, 50% of patrons buy French fries and 45% buy macaroni cheese; 32% of those buying French fries also buy macaroni cheese.

Draw a FULLY labelled Venn diagram to show the cafeteria patron information.

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Other parts of this question

  1. 3(a)(i)a)Calculate the probability that a randomly chosen patron buys both French fries and macaroni cheese.[2 marks]
  2. 3(a)(i)b)Calculate the probability that a randomly chosen patron buys French fries only.[2 marks]
  3. 3(a)(iii)State the probability that a patron buys neither French fries nor macaroni cheese.[1 mark]
  4. 3(b)(i)What is the probability that a person chosen at random from the sample is a female?[2 marks]
  5. 3(b)(ii)What is the probability that a person chosen at random prefers Pepsi-Cola?[2 marks]
  6. 3(b)(iii)What is the probability that a person chosen at random likes Ginger ale and is a male?[2 marks]
  7. 3(b)(iv)What is the probability that a person chosen at random prefers Coco-Cola given that the person is a female?[3 marks]
  8. 3(c)(i)List ALL the possible selections of flavours that could be made.[3 marks]
  9. 3(c)(ii)Given that the first toffee selected was coffee flavoured, find the probability that the second toffee selected will also be coffee flavoured.[2 marks]
  10. 3(c)(iii)Calculate the probability that EXACTLY two of the three toffees selected will be vanilla flavoured.[3 marks]

More practice: the rest of this paper · more Probability Theory questions · all CAPE Applied Mathematics Unit 1 past papers