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.