If P(A∣B)=0.4P(A|B) = 0.4P(A∣B)=0.4 and P(B∣A)=0.3P(B|A) = 0.3P(B∣A)=0.3, and P(A)=0.2P(A) = 0.2P(A)=0.2, what is P(B)P(B)P(B)?
16\frac{1}{6}61
415\frac{4}{15}154
320\frac{3}{20}203
14\frac{1}{4}41