1 For the events \(A\) and \(B\) it is given that
$$\mathrm { P } ( A ) = 0.6 , \mathrm { P } ( B ) = 0.3 \text { and } \mathrm { P } ( A \text { or } B \text { but not both } ) = 0.4 \text {. }$$
- Find \(\mathrm { P } ( A \cap B )\).
- Find \(\mathrm { P } \left( A ^ { \prime } \cap B \right)\).
- State, giving a reason, whether \(A\) and \(B\) are independent.