Edexcel S1 2004 November — Question 5

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2004
SessionNovember
TopicPrinciple of Inclusion/Exclusion
TypeBasic Inclusion-Exclusion with Two Sets

5. The events \(A\) and \(B\) are such that \(\mathrm { P } ( A ) = \frac { 1 } { 2 } , \mathrm { P } ( B ) = \frac { 1 } { 3 }\) and \(\mathrm { P } ( A \cap B ) = \frac { 1 } { 4 }\).
  1. Using the space below, represent these probabilities in a Venn diagram. Hence, or otherwise, find
  2. \(\mathrm { P } ( A \cup B )\),
  3. \(\mathrm { P } \left( \begin{array} { l l } A & B ^ { \prime } \end{array} \right)\)