The article “Term Efficacy of Ribavirin Plus Interferon Alfa in the Treatment of Chronic Hepatitis C,” [Gastroenterology (1996, Vol. 111, no. 5, pp. 1307–1312)], considered the effect of two treatments and a control for treatment of hepatitis C. The following table provides the total patients in each group and the number that showed a complete (positive) response after 24 weeks of treatment. 

Let A denote the event that the patient is treated with ribavirin plus interferon alfa, and let B denote the event that the response is complete. Determine the following probabilities:

(a) P(B | A)

(b) P(A | B)

(c) P(A | B')

(d) P(A' | B)