Koumei wrote:shadzar wrote:
like this, or does a second 6 stop the progress?
That one actually depends on the system, and you generally do actually have to specify whether exploding dice continue to explode or not.
so based on this...
fbmf wrote:Only sixes explode, and only one of the set is the exploder. It explodes indefinitely so long as you keep rolling sixes.
3d6+xd6 would be the 4d6 where the xd6 is the ONLY one that explodes and can do so infinitely?
so if the exploder (xd6) continues to roll a 3rd six, then odds are the set will fail as it will be over 20? 66.666% chance of getting >20
which would mean the exploder could only "6" twice...
3d6+xd6:
6+6+5,1,1,1
if the exploder can explode infinitely, then the chances of getting 20 exactly are infinitely small. or at least exponetially a minute portion of the possible outcomes.
what is the chance then of 1 specific d6 in a set of 4 to roll a 6, then again roll a 6, etc is what you have to work with.
1 in 6 chance the exploder will explode, since it requires no outside input from the other 3 dice. then to explode again makes in 1 in 6 chance or one sixth of a sixth, 1/36, then a 3rd 6 from it would be 1/216 chance that the exploder explodes 3 times and makes the lowest possible additive dice to be 21, and any other result on the other 3 will be >21.
for 3d6 the exploder can explode only twice again because 18+explosion+1+1 = 21 or up.
basically you would have to stop exploding before worrying with anything else, cause like in blackjack, one you go over your target, adding more will still result in failure.
5d6 still can only explode twice, because 18+(4)=22.
still assuming i am understanding TN 20 correctly to mean adding up to exactly 20 when all the pips are counted.