© 2000 Todd Neller.  A.I.M.A. text figures © 1995 Prentice Hall.  Used by permission.
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))