Free

2d6 Dice Roller

Two six-sided dice, thrown together, with the total shown large. The faces are drawn as pips, the way they look on the table.

Which dice

Up to 100 at a time.

Why 7 comes up most

Two dice have 36 equally likely outcomes, counting the first die and the second separately. A total is as likely as the number of those outcomes that add up to it. Only one gives 2 (a 1 and a 1), and only one gives 12 (a 6 and a 6). Six give 7: 1 and 6, 2 and 5, 3 and 4, and the same three pairs the other way around. So 7 turns up once every six rolls on average, and 2 or 12 once every 36.

Probability of each total when rolling two six-sided dice
TotalWays out of 36Exact chancePercent
211/362.78%
321/185.56%
431/128.33%
541/911.11%
655/3613.89%
761/616.67%
855/3613.89%
941/911.11%
1031/128.33%
1121/185.56%
1211/362.78%

The counts climb by one from 2 up to 7 and fall by one from 7 down to 12. That is the triangular shape of 2d6, and it puts most of the weight in the middle: a 6, 7 or 8 comes up 16 times in 36, about 44.4% of rolls. A total of 10 or more and a total of 4 or less are equally likely, 6/36 each. The average is exactly 7.

Board games that weight outcomes by the 2d6 curve depend on that shape. Anything tied to a 6 or an 8 happens five times as often as anything tied to a 2 or a 12 (5/36 against 1/36), even though every face of each die is equally likely. Adding a third die rounds the curve further: with 3d6 the most likely totals are 10 and 11, each 27 ways out of 216, or 12.5%.

How this roller gets the total

Each die is drawn on its own, uniformly from 1 to 6, and the two are added. That reproduces the 36 outcomes above. Picking a total uniformly between 2 and 12 instead would make 12 as common as 7, at 1 chance in 11 each, which no pair of real dice does. For 3d6 or more, change the count above or use the full dice roller.

More dice: d20 roller · d100 percentile roller · Dice roller with any number of sides

Where the randomness comes from

This tool runs entirely in your browser, using its built in cryptographic random number generator. Nothing you type is sent to us, nothing is stored, and each result is thrown away the moment you leave the page. Numbers are drawn without the rounding bias that the usual shortcut introduces, so every outcome is as likely as every other.

Because nothing is recorded, a result here proves nothing to anyone afterwards. If you need a drawing that other people have to accept, for a prize, a campaign or an audit, use Winner Picker, which publishes each result on a permanent link with a signed record anyone can check.

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