From: | Luke Kendall <luke@********.CANON.OZ.AU> |
---|---|
Subject: | Fumbling (Was: Re: unarmed/melee combat) |
Date: | Wed, 3 May 1995 09:39:42 +1000 |
Timothy Little writes:
> This one comes out a bit bad, too.
>
> Dice 1 2 3 4 5 6 7
> Fumbles 16.7% 2.8% 7.4% 1.6% 3.5% 0.9% 1.8%
>
> As you can see, the chances of failure are somewhat erratic.
I don't think you've got that right; look at the `2' case: the ways
of rolling one or more 1's with two dice are 6 + 5 + 1 out of 36
permutations; for a 33% chance.
For 2n dice, the probability is higher than for 2n-1 (but note that
2n+1 has a lower fumble probability than 2n).
We used this, and it worked pretty well, except for the 1, 2, and
3 dice cases - fumbles happened unpleasantly often. For the rest,
it was okay. (Heh - I managed to fumble an 11-dice roll, one night.)
luke