8.27 ( ) Consider two discrete variables x and y each having three possible states, for example x, y ∈ {0, 1, 2}. Construct a joint distribution p(x, y) over these variables having the property that the value
x that maximizes the marginal p(x), along with the value
y that maximizes the marginal p(y), together have probability zero under the joint distribution, so that p(
x,
y) = 0.