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I have to resolve an exercise for decision analysis network.

I have the following decision tree for that decision analysis network:

$$\begin{array}{l} G&\to&Y&\to&D&\to&X&\to&U% \end{array}$$

G, Y and X are chance nodes.
D is a decision node.
U is an utility node.

I don't need to compute probability of D because it is a decision node (this is why probability of X node is $P(x|y)$ instead of $P(x|d)$.

I know $P(x)$, $P(y|x)$ and $P(g)$ and I need to compute $P(y|g)$

How can I compute it?

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