The Venn diagram shows the probabilities associated with four events, \(A , B , C\) and \(D\)
\includegraphics[max width=\textwidth, alt={}, center]{2b63aa7f-bc50-4422-8dc0-e661b521c221-02_505_861_296_602}
Write down any pair of mutually exclusive events from \(A , B , C\) and \(D\)
Given that \(\mathrm { P } ( B ) = 0.4\)
find the value of \(p\)
Given also that \(A\) and \(B\) are independent
find the value of \(q\)
Given further that \(\mathrm { P } \left( B ^ { \prime } \mid C \right) = 0.64\)