Events A A\,A and B B\,B satisfy P(A)=320\displaystyle P(A)=\frac3{20}P(A)=203, P(A∩B)=120\displaystyle P(A\cap B)=\frac1{20}P(A∩B)=201 and P(A∣B)=514\displaystyle P(A\mid B)=\frac5{14}P(A∣B)=145.
Find P(B)P(B)P(B).
Find P(A∪B)P(A\cup B)P(A∪B).
Find P(B∣A′)P(B\mid A')P(B∣A′).