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Dice Roller

Roll any number of dice with any number of sides, for board games or classroom probability, and see the exact chance of every total.

Whole number, e.g. 2 for a pair of dice

6 for a normal die; 4, 8, 10, 12 or 20 for game dice

Change this text to roll again: each seed gives a different roll.

Total

4

Rolls

3, 1

Possible totals

2 – 12

Average total

7

Chance of this total

8.333%

Rolls come from the seed text: the same seed gives the same roll. Change the seed to roll again.

Probability of each total (2d6) (11)
TotalWaysChanceThis or higher
212.78%100%
325.56%97.22%
438.33%91.67%
5411.11%83.33%
6513.89%72.22%
7616.67%58.33%
8513.89%41.67%
9411.11%27.78%
1038.33%16.67%
1125.56%8.33%
1212.78%2.78%

Formula with your numbers

  • Outcomes 6^2 = 36
  • P(total = 4) = 3 ÷ 36 = 8.333%

Quick answer: With two six-sided dice there are 6² = 36 outcomes, and 7 is the most likely total: 6 ways out of 36, or 16.67%.

How it's calculated

Each die has the same chance of landing on each face: 1 ÷ sides. With n dice there are sides^n equally likely outcomes, and the chance of a total is the number of outcomes that add up to it divided by sides^n.

The table counts those outcomes exactly by adding one die at a time (a convolution): the number of ways to make a total with n dice is the sum of the ways to make total − 1, total − 2 … total − sides with n − 1 dice. The average total is n × (sides + 1) ÷ 2.

The rolls come from the seed text you type, so the same seed always gives the same roll and the page works the same every time. Change the seed to roll again.

Worked examples

  • 2d6, total 7: 6 ÷ 36 = 16.67%
  • 2d6, total 2 or 12: 1 ÷ 36 = 2.78% each
  • 3d6, total 10: 27 ÷ 216 = 12.5%

Frequently asked questions

Why is 7 the most common total with two dice?

Six pairs make 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1), more than any other total, while 2 and 12 have only one pair each.

How do I roll again?

Change the seed text, even by one character. Each seed gives its own roll.

What does 3d6 mean?

Three dice with six sides each. The number before d is how many dice, the number after is the sides.

Are the rolls truly random?

They're fair, but not secret. Each roll comes from the seed text, so every face has the same chance, yet the same seed always gives the same roll. If nobody should be able to predict the result, roll real dice.

What's the most likely total with three dice?

10 and 11, tied at 27 out of 216 outcomes each, or 12.5%. The average is 10.5.

Can I roll dice with a different number of sides?

Yes. Set the sides to 4, 8, 10, 12 or 20 for game dice, or to any other number you need.