Imagine a node "I" with two children, "W" and "H". "I" means that roads are icy, and "W" means that Watson crashes. "H" means Holmes crashes.
If I wanted to know the probability of the roads being icy and Watson crashing, which formula should I be using? I would be looking for P(I and W).
For dependent events, P(A n B) = P(A) * P(B|A).
For independent events, P(A n B) = P(A) * P(B).
So my confusion is with the fact that it's a Bayesian Network. How does the dependency and Independence come into play? Thanks!