Edexcel S1 2001 June — Question 5

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2001
SessionJune
TopicPrinciple of Inclusion/Exclusion
TypeStandard Survey to Venn Diagram

5. A market researcher asked 100 adults which of the three newspapers \(A , B , C\) they read. The results showed that \(30 \operatorname { read } A , 26\) read \(B , 21\) read \(C , 5\) read both \(A\) and \(B , 7\) read both \(B\) and \(C , 6\) read both \(C\) and \(A\) and 2 read all three.
  1. Draw a Venn diagram to represent these data. One of the adults is then selected at random.
    Find the probability that she reads
  2. at least one of the newspapers,
  3. only \(A\),
  4. only one of the newspapers,
  5. \(A\) given that she reads only one newspaper.