3. The Venn diagram shows the probabilities associated with four events, \(A , B , C\) and \(D\)
\includegraphics[max width=\textwidth, alt={}, center]{64d3256a-9007-4e8a-86d4-8375c006a4ce-05_524_897_351_625}

1. Write down any pair of mutually exclusive events from \(A , B , C\) and \(D\) Given that \(\mathrm { P } ( B ) = 0.4\)
2. find the value of \(p\) Given also that \(A\) and \(B\) are independent
3. find the value of \(q\) Given further that \(\mathrm { P } \left( B ^ { \prime } \mid C \right) = 0.64\)
4. find
   1. the value of \(r\)
   2. the value of \(s\)