6. For the events \(A\) and \(B\),
$$\mathrm { P } \left( A \cap B ^ { \prime } \right) = 0.32 , \mathrm { P } \left( A ^ { \prime } \cap B \right) = 0.11 \text { and } \mathrm { P } ( A \cup B ) = 0.65$$
- Draw a Venn diagram to illustrate the complete sample space for the events \(A\) and \(B\).
- Write down the value of \(\mathrm { P } ( A )\) and the value of \(\mathrm { P } ( B )\).
- Find \(\mathrm { P } \left( A \mid B ^ { \prime } \right)\).
- Determine whether or not \(A\) and \(B\) are independent.