Blue
Ravenous Bugblatter Beast of Traal
I am having the darnedest time finding the free basic rules. Do you have a link?Again, please have a look at Slayers. The basic rules are free.
I am having the darnedest time finding the free basic rules. Do you have a link?Again, please have a look at Slayers. The basic rules are free.
I rounded up from 1.56%. This is what AnyDice shows me. I think I must be reading it wrong.those % are too high, there is no way one die has a 2% chance of exploding 5 times
Forgive me if I've totally gotten this wrong, but if I understand, when using a d6, the definition of exploding means you roll a 6, right?I rounded up from 1.56%. This is what AnyDice shows me. I think I must be reading it wrong.
View attachment 283646
yes, hence the chance for one die to meet a target of 6 is (1/6)^5 / 2 (the /2 because there is a 50% chance the last roll scores one point), or 0.00643% chance of this.Forgive me if I've totally gotten this wrong, but if I understand, when using a d6, the definition of exploding means you roll a 6, right?
So in order to get 5 exploding dice, you need to roll 5 sixes in a row, is that correct? And that would be defined as 6*6*6*6*6, or 1 in 7,776 chance.
Apologies, I wasn't precise - the data is spread over a few freely available downloads.I am having the darnedest time finding the free basic rules. Do you have a link?
TARGET NUMBER -> | 1 | 2 | 3 | 4 | 5 | 6 |
1 die | 50% | 8.33% | 1.39% | 0.23% | 0.04% | 0.01% |
2 dice | 75% | 33.33% | 9.03% | 2.08% | 0.44% | 0.09% |
3 dice | 87.5% | 56.25% | 25% | 8.22% | 2.29% | 0.57% |
4 dice | 93.75% | 72.92% | 43.4% | 19.68% | 7.16% | 2.24% |
5 dice | 96.88% | 83.85% | 59.98% | 34.30% | 15.86% | 6.15% |
6 dice | 98.44% | 90.63% | 73.05% | 49.32% | 27.58% | 12.96% |
# of explosions needed | is 1 in.... | as a % |
1 (TN 2) | 6 | 16.66666667 |
2 (TN 3) | 36 | 2.777777778 |
3 (TN 4) | 216 | 0.462962963 |
4 (TN 5) | 1296 | 0.07716049383 |
5 (TN 6) | 7776 | 0.0128600823 |
1 in | 1 in | 1 in | % | ||
TN | base chance | # explosions needed | chance of those explosions | and then 50% final roll | as a % |
1 | 6 | 0 | 1 | 2 | 50.000 |
2 | 0 | 1 | 6 | 12 | 8.333 |
3 | 0 | 2 | 36 | 72 | 1.389 |
4 | 0 | 3 | 216 | 432 | 0.231 |
5 | 0 | 4 | 1296 | 2592 | 0.039 |
6 | 0 | 5 | 7776 | 15552 | 0.006 |
This calculates 6s adding an additional die.Prince Valiant has a rule that if all the dice are successes, an additional success.
The Burning Wheel family of games have various rules which make 6s "open ended" ie each 6 adds another die to the pool, which is also open-ended.
Calculating the odds for open-ended dice is a bit tricky for the reasons @Thomas Shey gives, but some rough noodling around is possible.
Eg with 3D, the probability of no sixes is 5/6 cubed, so the probability of at least 1 six, ie actually counting as a pool of 4D+, is 91/216, or not much short of half. So it is a meaningful change to the possible range of outcomes.