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Old 09-20-2017, 05:01 PM   #7
Varyon
 
Join Date: Jun 2013
Default Re: Math Gurus - Help with Probability

Quote:
Originally Posted by ericthered View Post
Now we can deal with that infinite series you lined up for us to calculate...
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 View Post
I'm confused by the exploding mechanism; I would expect a second explosion to be 1d+6 (minimum 9).
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 View Post
He's exploding in both directions, so the average is as for normal dice.
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.
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