I'm attempting to design a unique d6 dice pool system, and I want to try programming the probabilities in AnyDice but I'm not sure how. Here's how the system works:
- Dice pools are between 2 and 10 dice
- A roll of 5 or 6 is a success
- Any dice that sum to 5 or higher also count as successes
For example, a roll of (6,3,2,3,5,4,3,1) would be 5 successes (1 from 6, 1 from 5, 1 from 3+2, 1 from 4+1, and 1 from 3+3).
What kind of program in AnyDice or Excel would I use to calculate average odds for each dice pool up to 10 dice?
Best Answer
An exhaustive generation of the possibilities can be done.
It is not 100% clear what you mean by "dice totalling at least 5", I've chosen to interpret this as "sum up to 5 dice" and that means one would have at least one success with a pool of 5 or more dice (and at least 2 successes with a pool of 10 dice).
In principle, the algorithm is simple:
Then you can tabulate all the number of different successes. So far, I have the results for pools of size 2-9 in and can edit the entry with the results.