ok enough words time for dice math with dog wizards

all dice have a high bias so long as we count the halfway number as high. For instance, a DC10 d20 check vs no modifier succeeds 55% of the time. if we count 10 as high - 11 numbers are high.  THIS IS GOOD THOUGH because it means we win more often than we fail. I wanted to note how often we do this mistake though, i do it constantly:

on a d12, counting 6 as high: is 58%
on a d10, counting 5 as high: is 60%.
on a d8, 4 as high: is 62%
on a d6, 3 as high: 67%

on a d4 i almost never do it. on a coin you can't.

anyway what im saying is i usuallt forget about this bias and let the last-low be the first-high. but you give the guy a slight advantage with this, larger if its a smaller dice. one of those things.

stop multiplying dice together

thinking about dice too much has made me care about a thing that doesn't matter but it bugs me when i see it sometimes and now i will share this anxiety with you.

say you want a number between 1 and 144. so you roll 2d12s and you multiply them together. that'll give you a nice flat spread right?

nope:

(using anydice.com)

if you want to do like a d100 thing with d12s, you have to do (d12 *12)-12 + d12-1

which is a little too complicated to ask of somebody at the table. if you had d12s marked like d10s (from 0 to 11) it'd be more straightforward but basically just don't multiply dice together, it makes a really noisy graph that trends low.

how important is this? somewhere between not important at all and maybe very slightly important. if you're rolling monsters with lots of hit dice this way you skew the results in the players' favor.