Given two events AAA and BBB, if P(A∣B)=P(A∣Bc)P(A|B) = P(A|B^c)P(A∣B)=P(A∣Bc), what must be true about events AAA and BBB?
AAA and BBB are independent
AAA and BBB are mutually exclusive
P(A)=0P(A) = 0P(A)=0
BBB is a subset of AAA