An event AAA has P(A)=0.4P(A) = 0.4P(A)=0.4. If P(A∣B)=0.3P(A|B) = 0.3P(A∣B)=0.3 and P(A∣Bc)=0.7P(A|B^c) = 0.7P(A∣Bc)=0.7, what is the probability of event BBB?
0.5
0.6
0.7
0.8