CAIE S1 2015 November — Question 2

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2015
SessionNovember
TopicConditional Probability
TypePerson selected from combined populations

2 In country \(X , 25 \%\) of people have fair hair. In country \(Y , 60 \%\) of people have fair hair. There are 20 million people in country \(X\) and 8 million people in country \(Y\). A person is chosen at random from these 28 million people.
  1. Find the probability that the person chosen is from country \(X\).
  2. Find the probability that the person chosen has fair hair.
  3. Find the probability that the person chosen is from country \(X\), given that the person has fair hair.