Just a sort of general thread for discussing the impact different ways of rolling dice can have on the way a game plays out, and for asking questions about how the statistics play out in some situations.
Starter question: Let's assuming you're building a system with variable dice size and exploding dice (if you roll max, roll again and add the result to the original roll). Is there a situation in which the d2 is worse than the d3, if you can only keep some number of dice (finding the sum thereof)? My current empirical results (running from a roll of 1 die to 10, keeping only one) suggest that there is not. Currently debugging the program, which I somehow broke since the last run, to get higher numbers of kept dice.
If you keep more than one of the dice you roll, you do better with d3s. Hypothesis holds only with 1 die kept.