Consider two events AAA and BBB where P(A∣B)=P(A∣Bc)P(A|B) = P(A|B^c)P(A∣B)=P(A∣Bc). Which of the following is true?
AAA and BBB are mutually exclusive
P(A∩B)=P(A)P(B)P(A \cap B) = P(A)P(B)P(A∩B)=P(A)P(B)
AAA and BBB are dependent
P(A∣B)=1−P(A)P(A|B) = 1 - P(A)P(A∣B)=1−P(A)