You want to perform Gibbs sampling. Given {A = o, D = n, S = +s, T = t}, calculate the probability distribution which will be used to sample S.

You want to buy a used car. You build a decision netwrok given below. In your decision network, the variable A is the car's age (old A=+o, not old A=o ), D is the current owner's driving style (aggressive D=a, neutral D=n, defensive D=d ) and S is the shape of the car (good shape S=+s, bad shape S=s ). You further have the option of testing the car, which is represented by the variable T (success T=+t, fail T=t ). You decision is whether to buy the car or not. The price that the owner is asking is 5000 below the market value. However, if it is not in good shape, you will need to spend an additional 11000 on it. This is given in the utility node (not buying has no utility). \begin{tabular}{|c|c|c|c|c|} \hlineA & D & S & T & Weight \\ \hline+o & d & +s & +t & \\ \hline+o & d & s & +t & \\ \hline \end{tabular}