Why is 7 the most common total?

Because more pairs of dice add up to 7 than to any other total between 2 and 12 — six of the 36 equally likely combinations (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) make 7, compared with just one combination each for 2 and 12.

Two Dice Roller

Rolls two standard six-sided dice at once and shows each individual result alongside the total — the classic board-game or craps-style double roll.

Modifier

Added to the total

Seed (optional)

Replays the same sequence. Deterministic, not cryptographic.

Show the exact odds for each roll

Your roll will appear here, with the odds of getting it.

✓ The probabilities add up to one — 11 possible totals, from 2 to 12
✓ The average matches the closed form — 2 × (6 + 1) ÷ 2 is 7, computed independently of the distribution
✓ The spread matches the closed form — standard deviation 2.42, from each die's own variance of (s² − 1) ÷ 12
✓ The range is what the dice can reach — all ones is 2, all 6s is 12, and those are the first and last totals with any chance at all
✓ The distribution is symmetrical about the average — which is why the middle totals are the likeliest — the mode is 7

What this generator does

Rolls exactly two six-sided dice, the combination most board games use, and keeps a running session beside them: the last twenty rolls, the average against the 7 that two dice should average, and how often each face has come up. Each total carries its exact odds, so the familiar bell-shaped spread is visible rather than merely described.

How to use this tool

Press roll for two dice.
Roll again any time for a new result.

Understanding the controls

Number of dice: Fixed at two here, which is what most board games call for. The custom roller takes any number.
Modifier: A flat number added to the total after both dice land, for rules that add a bonus to the pair.
Seed: Empty for ordinary random rolls. Type anything to replay the same sequence — deterministic, not cryptographic.
Show the exact odds: Shows how likely each total was: a 7 turns up on six of the thirty-six pairs, a 2 on one of them, and the page gives that chance as a percentage beside the roll.

Worked examples

Craps-style come-out roll: Roll two dice and read the total: 7 or 11 wins the come-out: 7 turns up on six of the 36 pairs, 11 on only two.

Common use cases

Board games needing a two-dice roll
Craps-style games
Quick probability demonstrations

How this generator works

Two six-sided dice are rolled independently, each a fresh draw from your browser's Web Crypto generator, and shown alongside their sum. Because the dice are fixed at two and six sides, the eleven possible totals (2 through 12) have exact, well-known odds: only one of the 36 equally likely pairs makes 2, while six of them make 7, which is why 7 is the most common total by a wide margin.

Randomness and fairness

Each die is drawn independently from your browser's cryptographic random source, so all six faces are equally likely on each and neither die influences the other. The uneven spread of totals comes from there being more pairs that add to 7 than to 2. A seed swaps that source for a deterministic one, which replays the same rolls for the same seed — deterministic, not cryptographic.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

Totals between 2 and 12 are not equally likely: 7 comes up six times as often as 2, because six different pairs add to 7 and only one adds to 2. That is the arithmetic of two dice, not a bias in the roller.
Fixed at two standard six-sided dice. For a different count or a different number of sides, use the dice roller or the custom dice roller instead.

Frequently asked questions

Why is 7 the most common total?: Because more pairs of dice add up to 7 than to any other total between 2 and 12 — six of the 36 equally likely combinations (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) make 7, compared with just one combination each for 2 and 12.