Let P be a probability distribution over random variables A, B, C. Let Q be another probability distribution over the same variables, defined by a Bayes net in which B and C are conditionally independent given A. We are given that Q(A) = P(A), Q(B|A) = P(B|A), and Q(C|A) = P(C|A). Which if the following can be deduced? Explain. 

a. Q(B) = P(B). 

b. Q(C) = P(C). 

c. Q(A, B, C) = P(A, B, C).