2. Events \(A\) and \(B\) are independent.
Given also that
$$\mathrm { P } ( A ) = \frac { 3 } { 4 } \quad \text { and } \quad \mathrm { P } \left( A \cap B ^ { \prime } \right) = \frac { 1 } { 4 }$$
Find
- \(\mathrm { P } ( A \cap B )\),
- \(\mathrm { P } ( B )\),
- \(\mathrm { P } \left( A ^ { \prime } \cap B ^ { \prime } \right)\).