N2013 P2 Q8

For events \(A\) and \(B\) it is given that \(\mathrm P(A)=0.7\), \(\mathrm P(B\mid A')=0.8\) and \(\mathrm P(A\mid B')=0.88\). Find

1. \(\mathrm P(B\cap A')\),[1]
2. \(\mathrm P(A'\cap B')\),[2]
3. \(\mathrm P(A\cap B)\).[3]