Troll and Hollowpoint Probs

A brief nod to the fantastically useful Troll, a dice roller and probability calculator. I used it to estimate the probabilities of rolling matches in Hollowpoint or a similar D6 mechanic. Brief summary in a not-very-pretty table:

  2d 3d 4d 5d 6d 7d 8d 9d 10d
Nothing 83 56 28 9 2 0 0 0 0
Anything 17 44 72 91 98 100 100 100 100
One Set 17 44 65 64 43 20 7 2 1
Two Sets 0 0 7 27 52 62 51 33 18
Three Sets 0 0 0 0 4 18 40 54 54
Four Sets 0 0 0 0 0 0 2 11 26
Five Sets 0 0 0 0 0 0 0 0 1
At least triple 0 3 10 21 37 54 71 84 93
At least two sets 0 0 7 27 56 80 93 98 99
At least double+triple 0 0 0 4 17 40 64 82 93
At least three sets 0 0 0 0 4 18 42 65 81
At least quad 0 0 0 2 5 11 18 28 40

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p>Interesting outcomes there. If you want to have a system where PCs get more than 1 set per round the sweet spot is a pool of around 6 dice. If triples are significant then they start to appear around the same time; and if quads are significant, you get one about 1 time in 20 for a 6d pool, but they stay relatively unlikely up to 10d.

The thing about Hollowpoint is that burning a trait automatically bumps up the threshold by 2 dice, but the probabilities just shift 2 columns to the right. Also for info, Hollowpoint base dice pools are 1 to 6. To be continued.