(Solved): Let \( \mathrm{A} \) and \( \mathrm{B} \) be two events such that \( P(A)=0.5, P(B)=0.5 \) and \( ...

Let \( \mathrm{A} \) and \( \mathrm{B} \) be two events such that \( P(A)=0.5, P(B)=0.5 \) and \( P(A \cup B)=0.75 \). Let \( A^{\prime} \) be the complement of \( \mathrm{A} \) and \( B^{\prime} \) be the complement of \( \mathrm{B} \). Calculate \( P\left(A^{\prime} \cup B^{\prime}\right) \) Calculate \( P\left[\left(A \cap B^{\prime}\right) \cup\left(A^{\prime} \cap B\right)\right] \).