Bayesian Network 2
The following shows a Bayesian Network with 4 Boolean variables: Cloudy (C), Sprinkler (S), Rain (R) and Wet Grass (W).
Using the global semantics of the Bayesian Network 2, calculate P(c, w, s, r), i.e. the joint probability that the grass is wet, it did rain, the sprinkler was turned on and the day was cloudy. You may leave your answer in the form of an arithmetic expression.
Using Bayesian Network 2, please calculate P(w, s, r), i.e. the joint probability that the grass is wet, it did rain and the sprinkler was turned on. You may leave your answer in the form of an arithmetic expression.