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A deck of cards is superior to dice A typical 52-card deck has exactly twice as many cards as letters in the English alphabet, which is potentially pretty convenient: Red Cards for the first half of the …

d120 exists, but doesn’t seem to be in use There are 120-sided dice (since there is a 120-sided face-uniform polyhedron, the disdyakis triacontahedron). … So a d1000 or even d10,000 or d1,000,000 or whatever is trivially simple, since you just need more d10s and not fancier dice. …

And so for the standard dice: Die Expected Value d2 1½ d3 2 d4 2½ d6 3½ d8 4½ d10 5½ d12 6½ d20 10½ For multiple dice that are added together (e.g. 4d6), you can determine the … For instance, while you can just add expected values together to get the expected value from adding dice together, the sum of several dice does not produce a uniform distribution and 3d6 produces very …

You can always engineer the situation to require additional dice. … So no matter how many dice you have, you can find yourself needing even more dice because there are still more creatures to attack. …

This is the easiest method that doesn’t involve special or altered dice. (CR Drost has proven this last claim wildly incorrect—seriously, go upvote that amazing answer.) …

The odds of doing something twice in a row is the individual probability squared, so in this case \$\left(95\%\right)^2 = 90.25\%\$ is the probability of not rolling a 1 on both dice. …

Players will, particularly in the right moment, be perfectly willing to add up large numbers of dice (some players even especially like doing so). … significant, because the more-frequent rolling implies that any individual roll is less important and it is the accumulation of rolls over the course of the encounter that are more important (see goblin dice …

So yes, random number generators are used instead of dice all the time. … I cannot imagine that anyone would object to their use at a table, as well, to assist someone who cannot physically roll their own dice. …

But to truly allow for arbitrary-sized sets, the answer is to not use dice at all. Instead, what you want are cards. …

Giant in the Playground’s roller is tamper-resistant; any edit to the roll-code after posting, and the post gets a big red angry message and it messes up the roll. But the real solution, of course, i …

Yes, d2, d3, d4, d6, d8, d10, d12, and d20 have uniform distributions Of these, the d4, d6, d8, d12, and d20 are regular polyhedrons. The d2 and d10 are not regular polyhedrons, but each face is nonet …

And this is ignoring the existence of trivial answers like RPGs that don’t use dice, or don’t use any kind of randomization at all. Those may not even have a meaningful definition of “fumble.” …