Herding Dice

  The test roll for the "Adventure Game Engine" is 3d6. I was experimenting with some math and realized the TN 10,11,12 probability chance lines up perfectly with 1d8 die with TN 3,4,5. Therefore you could realistically switch from 3d6 to 1d8+6 without changes to any system numbers. Yes you lose the opportunity to roll doubles but for this thought experiment we are OK with that. There are few main advantages for 1d8+6 over 3d6. The first is a single die which is easier to do math with and does not have a curved probability distribution (it's a straight line). The second is that it maintains a compact rolling range which won't feel as swingy as d20 does. The plus six makes a firm foundation such that the average of the roll is only 50% of the base. Compared to d20 where a modifier of plus 1 is only 9% of the overall roll value. A plus one here is more like a +7 which is 60% of the roll value. So much less of the overall roll value is random. The third advantage is that