Ashtagon
2015-02-12, 06:05 AM
http://anydice.com/
I'm looking at designing an alternate character generation system for a homebrew rules system.
The final is to replace the 3-18 stat range with 2-12, and get rid of the odd-number gaps inherent in the 3.x system ability scores. However, I also want to keep the same general probabilities.
Yes, I am aware that any 2dx-based approach will create a wedge-shape rather than a bell curve. I can live with that, as long as the overall average is right.
3d6b4 typically results in a +1 ability score modifier, so for my 2-12-based system, I had considered 3d6b2. However, that results in a typical score of 9 (a +2 modifier in what I hope to be the final system).
So, what I am considering is:
2d6, six times (roll for each of six ability scores).
Re-roll any three individual dice.
Assign each of the six result to the ability of your choice.
How can I calculate the final probabilities?
I'm looking at designing an alternate character generation system for a homebrew rules system.
The final is to replace the 3-18 stat range with 2-12, and get rid of the odd-number gaps inherent in the 3.x system ability scores. However, I also want to keep the same general probabilities.
Yes, I am aware that any 2dx-based approach will create a wedge-shape rather than a bell curve. I can live with that, as long as the overall average is right.
3d6b4 typically results in a +1 ability score modifier, so for my 2-12-based system, I had considered 3d6b2. However, that results in a typical score of 9 (a +2 modifier in what I hope to be the final system).
So, what I am considering is:
2d6, six times (roll for each of six ability scores).
Re-roll any three individual dice.
Assign each of the six result to the ability of your choice.
How can I calculate the final probabilities?