I have the following Bayesian Network.

enter image description here

I have worked out the following:

P(H) = P(H|D) + P(H|¬D) = 0.5 + 0.1 = 0.6

P(D|H) = (D)∗(P(H|D) +P(H|¬D)) = 0.3∗(0.5 + 0.1) = 0.18

How do I compute the probability of D, given that C and F are true, and also the probability of F given that C and H are true? Can you explain to me the reasoning behind this?

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