The Venn diagram shows the events \(A , B , C\) and \(D\), where \(p , q , r\) and \(s\) are probabilities.
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Write down the value of
\(\mathrm { P } ( A )\)
\(\mathrm { P } ( A \mid B )\)
\(\mathrm { P } ( A \mid C )\)
Given that \(\mathrm { P } \left( B ^ { \prime } \cap D ^ { \prime } \right) = \frac { 7 } { 10 }\) and \(\mathrm { P } ( C \mid D ) = \frac { 3 } { 5 }\)
find the exact value of \(q\) and the exact value of \(r\)
Given also that \(\mathrm { P } \left( B \cup C ^ { \prime } \right) = \frac { 5 } { 8 }\)