On Expected Uses of Usage Dice
I do have a page on useful RPG mechanics, ideas, and concepts on this blog and one of the concepts in there that of Dice Chain and Usage Dice. The central idea is this: Roll a die and if you roll at or below a specific number you drop down the chain. It gives a nice element of random chance to how many uses of something you get and makes tracking items like Arrows or Chalk very easy. However, it can be very unclear how many uses you would expect to get when you buy a Ud6 or Ud8 item. I have just gotten done doing some math, specifically using Markov Chains, and I believe my math holds up. Thus I have been able to produce this very handy chart: Usage Die Expected Uses Ud4 2 Ud6 5 Ud8 9 Ud10 14 Ud12 20 Now, that chart is certainly handy and can easily be recreated by noticing that each die adds 1/2 of its size to the number of expected use...