For two events AAA and BBB, P(A∣B)=0.4P(A|B) = 0.4P(A∣B)=0.4 and P(A∣Bc)=0.2P(A|B^c) = 0.2P(A∣Bc)=0.2. If P(B)=0.5P(B) = 0.5P(B)=0.5, what is P(A)P(A)P(A)?
0.20.20.2
0.30.30.3
0.40.40.4
0.50.50.5