2015 NYJC P2 Q8

2015 NYJC P2 Q8

8 marks
Prelims

In a survey of \(140\) students who had recently migrated with their families to Singapore, students were asked to indicate the birth places of both their parents. The results are displayed in the accompanying table.

Mother’s birth place
UKEuropeAsia

Father’s birth place

UK

\(45\)\(16\)\(4\)

Europe

\(7\)\(12\)\(1\)

Asia

\(8\)\(2\)\(45\)
  1. Find the probability that a randomly selected student from this group has both parents born in the UK.[2]
  2. Find the probability that a student randomly selected from those with mothers born in the UK, has a father born in Asia.[3]
  3. Find the probability that a student randomly chosen from this group have a parent born in either UK or Europe.[3]

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Answer:(i) \(\frac9{28}\) (ii) \(\frac2{15}\) (iii) \(\frac{19}{28}\)

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