Answer:
P(B|A') = 7/15
Step-by-step explanation:
P(B) = 0.2
P(A|B) = 0.3
P(A|B)=P(A and B) / P(B)
0.3=P(A and B) / 0.2
P(A and B)=0.06
P(B') = 1 - P(B) = 1 - 0.2 = 0.8
P(A|B') = 0.8
P(A|B')=P(A and B') / P(B')
0.8 = P(A and B') / 0.8
P(A and B') = 0.64
P(A)=P(A and B) + P(A and B')=0.06+0.64=0.7
P(A')=1-P(A)=1-0.7=0.3
P(A' and B) + P(A and B) = P(B)
P(A' and B) = P(B) - P(A and B)
P(A' and B) = 0.2 - 0.06 = 0.14
P(B|A') = P(A' and B) / P(A')
P(B|A') = 0.14 / 0.3 = 7/15
