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?