What is the most common roll with 2 dice?

7. It can be made in 6 of the 36 possible combinations, a 1 in 6 chance, while 2 and 12 are the rarest at 1 in 36 each.

What are the odds of rolling doubles?

1 in 6 (16.67%) for any double. A specific double such as two sixes is 1 in 36.

What are the odds of rolling a natural 20?

5%, or 1 in 20, on each roll. With advantage (roll two d20 and keep the higher), the chance of at least one 20 rises to 9.75%.

How many combinations are there with 3 dice?

216 (6 x 6 x 6). The most likely totals are 10 and 11, each with 27 combinations (12.5%).

Is the online dice roller fair?

Yes. Every face is chosen with the browser's cryptographic random number generator with equal odds, before the rolling animation starts. Nothing is sent to a server.

Can I roll different types of dice at the same time?

Not in one roll: all dice in a roll share the same type. Roll each group separately, for example 1d20 and then 2d6, and add the totals.

Dice Probability Chart: 1 Die, 2 Dice and 3d6 Odds

The short answer

One fair die: every number from 1 to 6 has the same 1 in 6 chance. Two dice: there are 36 equally likely combinations (6 x 6), and the total 7 can be made in 6 of them (1+6, 2+5, 3+4, 4+3, 5+2, 6+1), so 7 is the most common sum. A 2 or a 12 can only be made one way each, so they come up once in 36 rolls on average.

You can test any of these numbers with the dice roller on this page. It rolls 1 to 12 dice at once, offers d4, d6, d8, d10, d12, d20 and d100, shows the total, and keeps the last 30 rolls so you can watch the pattern form.

Try it here: Dice Roller

Open the full tool page

One die: the basics

For any fair die with N sides, each face has a chance of 1 in N, and the average roll is (N + 1) / 2. Rolling a specific number on a d6 takes 6 rolls on average, but you can easily wait 10 or 15 rolls; there is no guarantee within any fixed number of tries. The chance of getting at least one six in 4 rolls is about 51.8%, just over half, which made it a famous winning bet for gamblers in 17th century France.

Die	Chance of each face	Average roll
d4	25%	2.5
d6	16.67%	3.5
d8	12.5%	4.5
d10	10%	5.5
d12	8.33%	6.5
d20	5%	10.5
d100	1%	50.5

Sum of two dice: the full chart

This is the chart most board game players need. The "ways" column counts how many of the 36 combinations give each total.

Total	Ways (out of 36)	Probability
2	1	2.78%
3	2	5.56%
4	3	8.33%
5	4	11.11%
6	5	13.89%
7	6	16.67%
8	5	13.89%
9	4	11.11%
10	3	8.33%
11	2	5.56%
12	1	2.78%

Useful two dice odds at a glance

Rolling doubles (both dice the same): 6 in 36, or 1 in 6 (16.67%).
A specific double, such as double six: 1 in 36 (2.78%).
At least one six on two dice: 11 in 36 (30.56%).
A total of 7 or more: 21 in 36 (58.33%).
A total of 6, 7 or 8: 16 in 36 (44.44%). This is why spaces with those numbers are valuable in games built on two dice sums.
Three doubles in a row: 1 in 216 (about 0.46%).
The average total of two dice is 7.

Three dice (3d6) chart

With three dice there are 216 combinations (6 x 6 x 6). The curve gets closer to a bell shape: 10 and 11 are the most likely totals at 12.5% each, while 3 and 18 each need all three dice to match. Tabletop role playing games used 3d6 to generate character abilities for exactly this reason: most results sit near the middle and extreme scores are rare.

Total	Ways (out of 216)	Probability
3 or 18	1	0.46%
4 or 17	3	1.39%
5 or 16	6	2.78%
6 or 15	10	4.63%
7 or 14	15	6.94%
8 or 13	21	9.72%
9 or 12	25	11.57%
10 or 11	27	12.5%

Dice notation: d20, 3d6, 2d6+3

Dice notation comes from role playing games such as Dungeons and Dragons and is now common in board games and online tools. The format is XdY: X is the number of dice and Y is the number of sides. 1d20 (often just d20) is one twenty sided die, 3d6 is three six sided dice added together, and d100 (also called d%) gives a number from 1 to 100.

A modifier is added at the end: 2d6+3 means roll two six sided dice and add 3, giving a range of 5 to 15 with an average of 10. To use it with the roller above, set Number of dice to 2 and Dice to d6, roll, and add 3 to the total yourself.

On a d20 each number is a flat 5%, so a natural 20 comes up once in 20 rolls on average. Rolling with advantage (two d20, keep the higher) raises the chance of at least one 20 to 9.75% and the chance of rolling 11 or higher from 50% to 75%. Disadvantage (keep the lower) drops that same 11 or higher chance to 25%.

Are physical dice fair?

Casino dice are machined to tight tolerances with sharp edges and flush painted pips, so they are very close to fair. Typical plastic game dice with rounded corners and drilled pips are slightly less precise: a six face has more material removed than a one face, so the six side can be a little lighter. The effect is small and rarely matters in a family game, but it is real.

Cheap d20s can be more uneven, with air bubbles or uneven polishing. A common home test is to float a die in salt water and spin it several times; if the same face keeps ending on top, the weight is off center. A digital roller avoids the question: each face is chosen with a secure random number generator and has exactly the same chance.

Common misunderstandings

"A 6 is due": dice have no memory. After ten rolls without a six, the chance on the next roll is still 1 in 6.
"7 is likely, so 7 will come soon": 7 is the most likely total, but it still misses 5 times out of 6.
"Doubles mean rolling the same number twice in a row": in most games doubles means both dice in one roll show the same number, which has a 1 in 6 chance.
"Bigger dice give better odds": a d20 is not luckier than a d6. It just spreads the same total probability over more faces.

Dice probability chart: odds for one die, two dice and more