Events A,B,CA, B, CA,B,C are partition of sample space with P(A)=0.2,P(B)=0.5,P(C)=0.3P(A)=0.2, P(B)=0.5, P(C)=0.3P(A)=0.2,P(B)=0.5,P(C)=0.3. P(E∣A)=0.1,P(E∣B)=0.2,P(E∣C)=0.4P(E|A)=0.1, P(E|B)=0.2, P(E|C)=0.4P(E∣A)=0.1,P(E∣B)=0.2,P(E∣C)=0.4. Find P(A∣E)P(A|E)P(A∣E).
113\frac{1}{13}131
213\frac{2}{13}132
313\frac{3}{13}133
413\frac{4}{13}134