Events A1,A2A_1, A_2A1,A2 partition sample space. P(A1)=0.6,P(B∣A1)=0.3,P(B∣A2)=0.8P(A_1)=0.6, P(B|A_1)=0.3, P(B|A_2)=0.8P(A1)=0.6,P(B∣A1)=0.3,P(B∣A2)=0.8. Find P(B)P(B)P(B).
0.4(0.8)0.4(0.8)0.4(0.8)
0.180.180.18
0.18+0.4(0.8)0.18 + 0.4(0.8)0.18+0.4(0.8)
0.30.30.3