RandomPick

Dice roller

Standard notation — 2d6, 1d20, 3d8+2 — with the total and every individual die shown.

Reading the notation

NdM+X: N dice of M sides, plus a modifier X applied to the total. So 2d6 is two six-sided dice summed, 1d20 is a single twenty-sided die, and 3d8+2 is three eight-sided dice summed with two added at the end. The modifier applies once, not per die — a distinction that changes the maths substantially and trips up people new to the notation.

Why the spread matters, not just the total

Rolling 3d6 is not the same as rolling 1d18 even though both span a similar range. Three dice cluster hard around the middle — a total of 10 or 11 is roughly eight times more likely than a 3 or an 18 — while a single die is flat across every face. This is why game systems choose particular dice combinations rather than convenient ranges, and it is why the individual dice are displayed here.

Fair dice still clump

Every die here is drawn independently with no memory of the previous roll, which means streaks happen and are not evidence of anything. Three consecutive sixes on a d6 occurs about once every 216 rolls; over an evening of play you should expect to see it. The intuition that a run of high rolls must be "due" a correction is the gambler's fallacy, and a genuinely fair generator will disappoint it regularly.

Questions

What does 3d8+2 mean?
Roll three eight-sided dice, add the results together, then add two. It is the standard notation across tabletop games: the number before the d is how many dice, the number after is how many sides, and anything after that is a modifier applied once to the total rather than to each die.
Why show the individual rolls?
Because in most games they matter separately. A natural 20 on a d20 is not the same as a total of 20, and seeing 1, 1, 6 tells you something that '8' does not. The total is the headline; the individual dice are shown underneath.
Are the dice fair?
Each die is drawn independently from the browser's cryptographic random source with the modulo bias removed, so every face is equally likely and no die influences another. Note that fair dice produce clumps — three sixes in a row is unremarkable and happens roughly once in 216 rolls. Fairness is about the long run, not about the streak you just had.
How many dice at once?
Up to a hundred, which covers any real game. Beyond that it stops being a roll and starts being a simulation, and the individual results would be unreadable anyway.