Quote:
Originally Posted by ericthered
Now we can deal with that infinite series you lined up for us to calculate...
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If a stopping point makes things easier, assume each die can only explode twice. Anything more than that I consider to be sufficiently unlikely to occur and thus ignorable. If it helps, here's the probabilities of each individual die roll.
Code:
Result Probability
-5 1/216
-4 1/216
-3 1/216
-2 1/72
-1 1/36
0 1/36
1 1/12
2 1/6
3 1/6
4 1/6
5 1/6
6 1/12
7 1/36
8 1/36
9 1/72
10 1/216
11 1/216
12 1/216
With infinite explosions, -5 and 12 would actually be 1/432 each, of course.
Quote:
Originally Posted by Anthony
I'm confused by the exploding mechanism; I would expect a second explosion to be 1d+6 (minimum 9).
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Err... right. Sorry, bit of a brainfart when I was writing that. You are correct - the pattern is +3, +6, +9, and minimum 6, 9, 12, for 1, 2, and 3 explosions, respectively.
Quote:
Originally Posted by ericthered
He's exploding in both directions, so the average is as for normal dice.
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Indeed. I'm trying to get a handle on exactly what the spread looks like (I know the curve gets flattened out a bit) to decide if this is something I'd like to actually use in a game or not.