Given P(A∣B)=0.4P(A|B) = 0.4P(A∣B)=0.4 and P(B∣A)=0.6P(B|A) = 0.6P(B∣A)=0.6, compare P(A)P(A)P(A) and P(B)P(B)P(B).
P(A)=P(B)P(A) = P(B)P(A)=P(B)
P(A)=0.4P(B)/0.6P(A) = 0.4P(B) / 0.6P(A)=0.4P(B)/0.6
P(B)=1.5P(A)P(B) = 1.5P(A)P(B)=1.5P(A)
P(A)=1.5P(B)P(A) = 1.5P(B)P(A)=1.5P(B)