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2 marksProbability Theory

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

A bag contains 8 coffee flavoured toffees and 6 vanilla flavoured toffees. Three toffees are randomly selected without replacement.

Given that the first toffee selected was coffee flavoured, find the probability that the second toffee selected will also be coffee flavoured.

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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)(ii)Draw a FULLY labelled Venn diagram to show the cafeteria patron information.[3 marks]
  4. 3(a)(iii)State the probability that a patron buys neither French fries nor macaroni cheese.[1 mark]
  5. 3(b)(i)What is the probability that a person chosen at random from the sample is a female?[2 marks]
  6. 3(b)(ii)What is the probability that a person chosen at random prefers Pepsi-Cola?[2 marks]
  7. 3(b)(iii)What is the probability that a person chosen at random likes Ginger ale and is a male?[2 marks]
  8. 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]
  9. 3(c)(i)List ALL the possible selections of flavours that could be made.[3 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