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4 marksProbability

CAPE Applied Mathematics Unit 2 · 2014 · Paper 2 · Question 3(b)(iii)

A choir consists of 30 members: 12 soprano, 7 alto, 6 tenor, and 5 bass. Three members are randomly chosen.

The 6 tenors and 5 basses are to be seated at a circular table so that two tenors are next to each other, and the remainder sit alternately. In how many ways can this be done?

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Other parts of this question

  1. 3(a)Calculate P(A' ∩ B').[4 marks]
  2. 3(b)(i)a)Determine the probability that two sing soprano and one sings tenor.[4 marks]
  3. 3(b)(i)b)Determine the probability that one soprano, one tenor and one bass are chosen.[4 marks]
  4. 3(b)(i)c)Determine the probability that three tenors are chosen given that the three persons all sing the SAME part.[5 marks]
  5. 3(b)(ii)A committee of 9 is to be drawn from the members of the choir. Determine the probability that the committee contains EXACTLY 2 basses and 3 tenors.[4 marks]

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