Suppose P(A∣B)=0.8P(A|B) = 0.8P(A∣B)=0.8, P(A∣Bc)=0.3P(A|B^c) = 0.3P(A∣Bc)=0.3, and P(B)=0.4P(B) = 0.4P(B)=0.4. Find P(A)P(A)P(A).
0.500.500.50
0.450.450.45
0.550.550.55
0.400.400.40