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.
- Find the probability that the sisters are next to each other.[2]
- Find the probability that the brothers are not all next to one another.[2]
- Find the probability that the sisters are next to each other and the brothers are all next to one another.[2]
- 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.
- Find the probability that the sisters are next to each other.[1]
Solution:
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Answer:(i) \(2/15\). (ii) \(34/35\). (iii) \(2/455\). (iv) \(43/273\). (v) \(1/7\).
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