Two events A A\,A and B B\,B are independent, with P(A)=0.5P(A) = 0.5P(A)=0.5 and P(A∪B)=0.65P(A \cup B) = 0.65P(A∪B)=0.65.
Show that P(B)=0.3P(B) = 0.3P(B)=0.3.
Find P(A∩B′)P(A \cap B')P(A∩B′).
Find P(A′∩B′)P(A' \cap B')P(A′∩B′).