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'The statistical system does not say anything - I am not interested in how players on the average would handle this position.'
I suspect you misunderstand what quantity is analyzed. In any case not how players handle the position. But the very question you do ask, 'what are my chances for a draw with 1, 2 or 3 Pawns in compensation', can only be answered in a statistical sense. The answer will never be 'with 1 Pawn I will lose, with 2 Pawns I will draw, and with 3 Pawns, I will win'. It will be something like: 'With one Pawn I will have 5% chance on a win and 10% on a draw, (and thus 85% for a loss) with 2 Pawns this will be 20-30-50, and with 3 Pawns 50-30-20. And I can count a Passer as 1.5, so if my 2 Pawns include a passer it will be 35-30-35).'
This is all you could ever hope for. But to get that answer, you must know that the W-D-L statistics wfor the quiet situation after the opponent has defused the mate threat with so-and-so-many Pawns are x%-y%-z%. You will never be able to say if the position is won or not, unless your final position is a tablebase hit (and you have the tablebase).