The events A A\,A and B B\,B are such that P(A)=25\displaystyle P(A) = \frac{2}{5}P(A)=52, P(A∩B)=110\displaystyle P(A \cap B) = \frac{1}{10}P(A∩B)=101, P(A∣B)=27\displaystyle P(A|B) = \frac{2}{7}P(A∣B)=72. Find
P(B)P(B)P(B)
P(A∪B)P(A \cup B)P(A∪B)
P(B∣A′)P(B|A')P(B∣A′)
