N2012 P2 Q7

N2012 P2 Q7

Junior College 2
9 marks

A group of fifteen people consists of one pair of sisters, one set of three brothers and ten other people. The fifteen people are arranged randomly in a line.

  1. Find the probability that the sisters are next to each other.[2]
  2. Find the probability that the brothers are not all next to one another.[2]
  3. Find the probability that the sisters are next to each other and the brothers are all next to one another.[2]
  4. Find the probability that either the sisters are next to each other or the brothers are all next to one another or both.[2]

Instead the fifteen people are arranged in a circle.

  1. Find the probability that the sisters are next to each other.[1]

Solution:

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Finding similar questions...
Answer:(i) \(2/15\). (ii) \(34/35\). (iii) \(2/455\). (iv) \(43/273\). (v) \(1/7\).

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