To aid you in your work, O Cynic, I built the attached spreadsheet.
The First Sheet tallies outcomes for 2D6, 3D6, 2D10, and 3D10s both as number of outcomes or as percentages. Rows 12, 14, 31 & 33 display the could of outcomes of a given value using the number of dice; the row immediately under each count is the percentage chance of that given outcome. The differences in distribution is displayed in a pretty graph at the bottom.
The Second Sheet has blank tables for 2D6, 3D6, 2D10, and 3D10 outcomes, listing the approximate outcome for each set of dice as if on a D100 range (D1000 for 3D10).
Play with it and which outcome distribution you like best. Or skip if it doesn't suit.
What can I say? I was bored at work.
Uncle Ted
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