I always knew there was a problem with the Botching system in Changeling, but I had no idea it was quite as bad as it is. My intuition told me that, except vs Difficulty 10, a greater number of dice should mean a greater number of successes and therefore a decreased chance of Botching. However, when I made a slight modification to Botching to try to give an alternative to a modification Mistypaw suggested on the Changeling forum, I finally decided to mathematically check the figures. Here's what I got:
Chance to Botch vs Difficulty 6:
1 die: 10%
2 dice: 9.5%
3: 12.09%
4: 13.89%
5: 17.32%
6: 21.49%
Chance to Botch vs Difficulty 10:
1: 10%
2: 17.1%
3: 25.96%
4: 34.59%
5: 47.03%
6: 59.67%
If you wish to see the math behind this, click here.
I came up with this a while back to use in a game I am planning to release and publish sometime in the future, but, because I love Changeling and our forum regulars so much, I'm putting this part of my system in the public domain:
Percent chances to Botch by above (vs any difficulty):
1 die: 10%
2 dice: 4%
3: 2.7%
4: 2.56%
5: 1.02%
6: 0.41%
Rolling a one does NOT take away successes - but botching precludes any successes. In this manner, difficulties 2 through 4 are still viable. Take an example roll of 3, 2, 2, 1, 7, 8 (on six dice) vs difficulty 3. Since two dice are above 4, the roll is not a botch - in fact, it has three successes.
This should help in your games!
Jhardhel'Healdan Rules Botches | Site Map |