Hi,

Thanks! To be honest, this was quite some time ago so I might not remember all details of my thinking at the time. I think that in the case of the distributions, I just used a simple Monte Carlo -generation where I simulated each die with logic to account for exploding on certain results. I’m not sure if it is worth it to calculate the analytic formula for the distribution. Even for game design, the number of cases (opposed etc.) should be manageable to just do with simulations (which should be fast on any modern-ish computer).

Maybe this should be another post, simulating various systems in general.

]]>Awesome work, very interesting outline of how to evaluate the probabilities and distribution of dice pool.

I noticed that you discuss the mathematics of exploding values on expected mean result, and while you show the effect on the distribution you don’t elaborate on how to generate the exploding dice distribution. How did you proceed? I am currently trying to evaluate the effect of exploding dice pool for World of Darkness and their 10, 9 and 8-again are giving me nightmares!

Thanks!

]]>Part 1: http://spelljammer.dragonscale.games/2019/05/19/iv-hey-you-guys/

Part 2: http://spelljammer.dragonscale.games/2019/05/20/ivb-a-mothers-work/

]]>That’s great to hear! Glad you liked it.

]]>