Let AAA and BBB be two events in a sample space SSS such that P(A)=0.35P(A) = 0.35P(A)=0.35, P(B)=0.45P(B) = 0.45P(B)=0.45, and P(A∣B)=0.4P(A|B) = 0.4P(A∣B)=0.4. Calculate P(Bc∣Ac)P(B^c | A^c)P(Bc∣Ac).
0.582
0.625
0.714
0.418