Isn't this what the section on Sklansky-Chubukov Numbers in No Limit Holdem Theory and Practice is all about?
Have you read that section of the book in relation to the problem that you are working on?
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N_call and N_fold are the number of hands that will call/fold given that you move in with the maximum stack that you will do so with. P|call is the probability of winning given that you are called (plus 1/2 the probability of tieing). The last number is the original question.
S-C Numbers
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Armed with these numbers, NLHETAP gives a chart on opponent's pushing hand ranges (from any two cards, to just QQ-AA/AK), and then gives the hand ranges for +EV calls vs those ranges based on the S-C numbers.
Aren't you working on the same kind of thing?