mathspycho

New Member
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  xi that maximizes the marginal p(x), along with
the value  yi that maximizes the marginal p(y), together have probability zero under
the joint distribution, so that p(  xi,  yi) = 0.

BGM

TS Contributor
Show some effort first It is not that hard to fill in the remaining 8 numbers I guess?

mathspycho

New Member
y 0 1 2
x
0 0.0 0.2 0.3
1 0.2 0.0 0.0
2 0.3 0.0 0.0

this is one answer,i got it ,but i did it just by trial and error.how to formalize it with some algo

0.00 0.36 0.24
0.20 0.00 0.00
0.20 0.00 0.00
this is also another solution

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