Computing Joint Probabilities
with CPTs
Denote our set of variables as X1, X2, …, Xn.
The joint probability distribution P(X1,…,Xn) can
be thought of as a table with entries
P(X1=x1,…,Xn=xn) or simply P(x1, …, xn)
where x1,…,xn is a possible assignment to all
variables.
Using CPTs,
P(x1, …, xn)  =    P(x1|ParentValues(x1)) * … *
       P(xn|ParentValues(xn))