CAIE S2 2013 June — Question 1

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2013
SessionJune
TopicProbability Definitions
TypeRandom selection fairness

1 Marie wants to choose one student at random from Anthea, Bill and Charlie. She throws two fair coins. If both coins show tails she will choose Anthea. If both coins show heads she will choose Bill. If the coins show one of each she will choose Charlie.
  1. Explain why this is not a fair method for choosing the student.
  2. Describe how Marie could use the two coins to give a fair method for choosing the student.