1:Use the following probabilities to answer the question. Don't round; enter your answers as ratios

Question

P(A)=0.4  , P(B)=0.65 ,  and  P(A and B)=0.2

P(B∣A)=______  

P(notB∣A)= ________

P(notB∣notA)= _________

Answer 1

P(B|A) = P(A and B)/P(A) = 0.2/0.4 = 0.5

P(not B|A) = 1 - P(B|A) = 0.5

P (A or B) = P(A) + P(B) - P(A and B) = 0.4 + 0.65 - 0.2 = 0.85

P(not B | not A) = P(not A and not B)/P(not A) = (1 - P(A or B))/P(not A) = (0.15/0.85) = 0.18