tomBitonti
Hero
This is quite obvious.
So it seems that you don't need a dice pool to get degrees of success, you don't need a dice pool to get a non-flat distribution of results, and you don't need a dice pool to get both. That being said, I do appreciate the effort that people are putting in answering my question!
Bold added by me. Additional text omitted.
I'm not following this point. For WarHammer, rolling d100 to roll less than 51, the chance of success is 50%, and the chance of 1, 2, 3, 4, or 5 degrees of failure is 10% for each. (Or 20%, if you start with the having rolled success.) That is a flat distribution.
Using http://anydice.com/ with 9d2-9, this distribution results:
0 0.20
1 1.76
2 7.03
3 16.41
4 24.61
5 24.61
6 16.41
7 7.03
8 1.76
9 0.20
That is, each die has a 50% of success, and 5 or more successes are needed to succeed at the task.
Then, 1 success is at 25%, 2 successes at 16%, 3 successes at 7%, 4 successes at 2%, and 5 successes at 0.2%.
I'm not sure how you would get a non-flat distribution without rolling multiple dice.
But, I think this is a terminology question: I would consider a fixed collection of multiple dice to be a dice pool, although, that doesn't seem to be the usual terminology.
Maybe we should step aside from the terminology and ask a more basic question:
Why adjust success and failure by using a fixed die (say, d20), a target number, and modifiers to either the die roll or to the target number (to hit bonus, armor class bonus), instead of having a variable pool of dice and with modifiers either to the number of dice rolled or to the number of successes needed?
There is a second part of the question, which is not why use one mechanic or the other, but where to use either mechanic. For example, D20 uses a target number, but rolls damage using a dice pool (e.g., fireball, or sneak attack).
Thx!
TomB