If events A and B are independent, then which of the following is false?
A. P(A|B) = P(A)
B. P(B|A) = P(B)
C. P(B∣A) = P(A and B)/P(B)
D. P(A) * P(B) = P(A and B)
C. P(B∣A) = P(A and B)/P(B) is false
To see why...let P(A) = 0.2 and let P(B) = 0.4
Then
P(A and B) / P(B) = (0.2)(.0.4) / (0.4) = 0.2
But P(B IA) should be 0.4 if these are independent because A has no effect on B
+1982 
