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3 marksProbability Theory

CAPE Applied Mathematics Unit 1 · 2010 · Paper 2 · Question 3(b)(iii)

15 students in a dance school practise hip-hop or jazz. 10 practise hip-hop and 8 practise jazz. A student is selected at random.

Two students are chosen at random from the dance school. What is the probability that they are BOTH hip-hop dancers?

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Other parts of this question

  1. 3(a)(i)Determine P(A ∩ B).[2 marks]
  2. 3(a)(ii)Determine P(A | B).[2 marks]
  3. 3(a)(iii)Determine P(A' ∩ B').[2 marks]
  4. 3(b)(i)Calculate the probability that the student is a jazz dancer.[2 marks]
  5. 3(b)(ii)Calculate the probability that the student practises BOTH jazz and hip-hop.[3 marks]
  6. 3(c)(i)Calculate the probability that the next THREE patrons all choose chicken patties.[2 marks]
  7. 3(c)(ii)Calculate the probability that the next THREE patrons all choose the same type of patty.[3 marks]
  8. 3(c)(iii)Calculate the probability that the next THREE patrons all choose different types of patties.[3 marks]
  9. 3(c)(iv)Calculate the probability that the next THREE patrons all choose chicken patties, given that they all have the same type of patty.[3 marks]

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