If two events are independent, does P(A∣B)=P(A∣Bc)P(A|B) = P(A|B^c)P(A∣B)=P(A∣Bc)?
No
Only if P(B)=0P(B)=0P(B)=0
Yes
Only if P(B)=0.5P(B)=0.5P(B)=0.5