If P(A1)=0.1,P(A2)=0.2,P(A3)=0.7P(A_1) = 0.1, P(A_2) = 0.2, P(A_3) = 0.7P(A1)=0.1,P(A2)=0.2,P(A3)=0.7 partition the sample space, and an event EEE has P(E∣A1)=1,P(E∣A2)=0.5,P(E∣A3)=0P(E|A_1) = 1, P(E|A_2) = 0.5, P(E|A_3) = 0P(E∣A1)=1,P(E∣A2)=0.5,P(E∣A3)=0, what is P(A1∣E)P(A_1|E)P(A1∣E)?
0.4
0.5
0.6
0.7