Construct a joint probability distribution from correlated variables

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Hi, I want to construct the joint probability distribution of two discrete dependent distributions. There is a known correlation between the two input variables. Possibly the solution may be found by the use of copulas.
An example of what I mean: marginal probabilities of two dependent variables a and b: P(a=40,80,100)=[0.25 0.25 0.5] P(b=10,40)=[0.75 0.25] Correlation: f(b)=100-2/3.*a
So how to calculate the joint probability, P(a.*b) ?

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