Just something I hadn’t thought about. Dice probability is always interesting, but the way that, say, 2d6 and 1d8+1d4 differ in probability even with the same average and range might actually be useful for nudging probabilities.
Both 2d6 and 1d8+1d4 produce results between 2 and 12, with an average result of 7. But while 2d6 has a standard deviation of 2.415, 1d8+1d4’s deviation is 2.550, slightly higher.
All of the middling values (5-9) of 1d8+1d4 have the same probability, while 2d6 is a straight triangle distribution. All values but 6-8 are more common in 1d8+1d4 than in 2d6. I wonder if this can be used for anything… but it feels like it could be another tool in my arsenal of dice stuff.