CAIE S2 2019 June — Question 3

Exam BoardCAIE
ModuleS2 (Statistics 2)
Year2019
SessionJune
TopicProbability Definitions
TypeRandom selection fairness

3 Luis has to choose one person at random from four people, \(A , B , C\) and \(D\). He throws a fair six-sided die. If the score is 1 , he will choose \(A\). If the score is 2 he will choose \(B\). If the score is 3 , he will choose \(C\). If the score is 4 or more he will choose \(D\).
  1. Explain why the choice made by this method is not random.
  2. Describe how Luis could use a single throw of the die to make a random choice.
    On another day, Luis has to choose two people at random from the same four people, \(A , B , C\) and \(D\).
  3. List the possible choices of two people and hence describe how Luis could use a single throw of the die to make this random choice.