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Dice Roller

Choose how many dice and how many sides, then roll. Every face is equally likely, and the total appears alongside the individual results.

Why two dice are nothing like one

A single die is flat: each of the six faces turns up one time in six, and no face is special. Add a second die and that flatness disappears completely. There are thirty-six ways two dice can land, and they do not spread evenly across the totals: 7 can happen six ways (1+6, 2+5, 3+4, and each of those reversed) while 2 can happen exactly one way. So 7 comes up six times as often as 2 or 12. This is not a quirk of dice; it is what happens whenever you add independent random numbers together, and it is the reason board games ask for 2d6 instead of one d12.

Add more dice and the shape sharpens. With 3d6 the extremes get rarer still (3 and 18 each have one combination out of 216) and the middle grows fat around 10 and 11. This is why a game that wants heroes to usually succeed rolls several dice and adds them, while a game that wants a genuine coin-toss of an outcome rolls one d20: a single die gives every result the same weight, which is exactly what a dramatic moment needs.

The fairness of each individual die comes down to the same detail that governs any random range. Taking a raw value and using the remainder to fit it into six faces is very slightly biased, because the raw range does not divide evenly by six and the spare values all land on low faces. This roller discards those spare values and draws again, so each face is exactly one in six rather than approximately so. Over a long campaign the difference is measurable, and it always favoured the same numbers.

The available dice are the ones that exist: d4, d6, d8, d10, d12, d20 and d100, plus d2 for a coin in disguise. A free-text box would invite d37, and a d37 is not a die. It is a range, and there is a generator on this site for exactly that.

Frequently asked questions

Which dice can I roll?

d2, d4, d6, d8, d10, d12, d20 and d100: the standard set, plus d2 for when you want a coin flip with a die’s label. For an arbitrary range like 1 to 37, use the random number generator instead.

Why does 7 come up so often with two dice?

Because six of the thirty-six possible pairs add up to 7, while only one pair adds up to 2 and one to 12. Each individual die is perfectly flat; the sum of two is not. That triangular shape is the reason most board games roll 2d6.

Are the rolls fair?

Every face has exactly the same chance. The generator uses the browser’s cryptographic source and rejects the values that would not divide evenly into the number of faces, which is the small unfairness most online rollers still carry.

Can I roll several dice at once?

Yes. Set the count and you get each individual result plus the total, which is what you actually need for 3d6 or 2d20. Nobody rolls three dice to read three separate numbers.

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