The Venn diagram shows the events \(A\), \(B\) and \(C\) and their associated probabilities, where \(p\) and \(q\) are probabilities.
\includegraphics[max width=\textwidth, alt={}, center]{29ac0c0b-f963-40a1-beba-7146bbb2d021-02_579_1054_347_447}
Find \(\mathrm { P } ( B )\)
Determine whether or not \(A\) and \(B\) are independent.
Given that \(\mathrm { P } ( C \mid B ) = \mathrm { P } ( C )\)
find the value of \(p\) and the value of \(q\)
The event \(D\) is such that
\(\quad A\) and \(D\) are mutually exclusive
\(\mathrm { P } ( B \cap D ) > 0\)
On the Venn diagram show a possible position for the event \(D\)