How can I find joint probability of a bayesian network for three continuous random variables

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Bayesian Network

For a network like the above directed graph, how do I find joint probability of three continuous random variables A,B,C.

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kutschkem On

With Bayes' theorem

P(A,B,C) = P(C | A,B) * P(A,B)

= P(C | A,B) * P(A) * P(B) (because A and B are independent)