Given P(A∣B)=0.8P(A|B) = 0.8P(A∣B)=0.8 and 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(B∣A)P(B|A)P(B∣A).
1625\frac{16}{25}2516
1623\frac{16}{23}2316
823\frac{8}{23}238
12\frac{1}{2}21