Compute the conditional probabilities P(A|B) and P(B|A). (Round your answers to three decimal places.) P(A) = 0.7, P(B) = 0.4, P(A and B) = 0.25

Question

P(A/B) =

P(B/A) =

Answer 1

P(A/B) = P(A&B)/P(B) = .25/.4 = 25/40 = 0.625

P(B/A) = P(A&B)/P(A) = .25/.7 = 25/70 = 5/14 = 0.357

A and B are not independent. If they were, the intersection probability would be 0.28. It's only 0.25

If independent, the intersection probability would equal P(A)P(B) = .7 x .4 = .28