CAIE S1 2020 November — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2020
SessionNovember
TopicIndependent Events
TypeTest independence using definition

1 Two ordinary fair dice, one red and the other blue, are thrown.
Event \(A\) is 'the score on the red die is divisible by 3 '.
Event \(B\) is 'the sum of the two scores is at least 9 '.
  1. Find \(\mathrm { P } ( A \cap B )\).
  2. Hence determine whether or not the events \(A\) and \(B\) are independent.