Monadic Bot is a dice rolling bot for Discord I maintain. You can invite it to your server with this link: https://www.catmonad.xyz/_stuff/invite-mbot
Monadic Bot is intended to be primarily used via Slash Commands. It used to offer a bit more game specific functionality prior to Discord's forcing the switch to Slash Commands, but much of that has yet to be ported to the new system.
/roll <expression> [reason]:
Rolls a dice expression, which can be supplied with an explanation
for why the roll is being done, which will be printed with the results.
/fate [bonus]: Rolls 4 fate dice, which are a range from -1 to 1,
with an optional bonus.
/plot <expression>:
Plots a sample PDF for a dice expression.
/cdf <expression> <interval>:
Samples a PDF for a dice expression, then adds up the total probability
of a roll falling into the given interval.