"In this example you should think of A, B, C, and D as “pretreatment” variables. (The treatment, as usual, is X.) Now there is one back-door path X←A→ B←D→E→Y. This path is already blocked by the collider at B, so we don’t need to control for anything." (Pearl, p. 160)
For Game 2, we have once again created a causal Bayesian network, which is available for download here:
Note that the associated probability tables are fictitious. For our purposes, only the causal graph is relevant.
As before, we select Main Menu > Analysis > Visual > Graph > Influence Paths to Target
to analyze the paths from X to Y.
We can see that there is no noncausal path.
Hence, there is then no need to control for any variables.