Events A A\,A and B B\,B satisfy P(A)=516\displaystyle P(A)=\frac{5}{16}P(A)=165, P(B)=12\displaystyle P(B)=\frac12P(B)=21 and P(A∣B)=14\displaystyle P(A\mid B)=\frac14P(A∣B)=41.
Find P(A∩B)P(A\cap B)P(A∩B).
Find P(B′∣A)P(B'\mid A)P(B′∣A).