3. The events \(A\) and \(B\) are such that
$$\mathrm { P } ( A ) = 0.2 \text { and } \mathrm { P } ( A \cup B ) = 0.6$$
Find
- \(\mathrm { P } \left( A ^ { \prime } \cap B ^ { \prime } \right)\),
- \(\quad \mathrm { P } \left( A ^ { \prime } \cap B \right)\).
Given also that events \(A\) and \(B\) are independent, find
- \(\mathrm { P } ( B )\),
- \(\mathrm { P } \left( A ^ { \prime } \cup B ^ { \prime } \right)\).