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Dice Roll Simulator

Odds for 2d6

Range 2–12 · average 7.00

212

Most likely total: 7 (16.67%). Chance of rolling exactly 7: 16.67%.

Each die uses your browser's cryptographically secure random generator, so every face is equally likely. Probabilities are exact, counted over all 6^2 outcomes.

Roll any number of dice with any number of sides and a modifier, such as 2d6 or 1d20 + 5, using a cryptographically secure random generator, and see the exact probability of every total, the average and the most likely result.

Formula

P(total)=ways to roll that total÷sidesn\text{P}(\text{total}) = \text{ways to roll that total} \div \text{sides}^{\text{n}}
average=n×(sides+1)/2+modifier\text{average} = \text{n} \times (\text{sides} + 1) / 2 + \text{modifier}

Worked Example

Dice2d6
Result
Range2–12
Average7
Chance of a 716.67% (6 of 36)
Chance of a 2 or a 122.78% each

Two six-sided dice have 6 × 6 = 36 equally likely outcomes. Six of them add up to 7 (1+6, 2+5, 3+4 and their reverses), which makes 7 the most likely total, while 2 and 12 can each happen only one way.

Frequently Asked Questions

What does 3d6 + 2 mean?

Roll three six-sided dice and add 2 to the total. Tabletop games write dice as NdS: N dice with S sides each. 1d20 is one twenty-sided die and 1d100 a percentile roll.

Are these rolls truly random?

They use your browser's cryptographically secure generator (crypto.getRandomValues) with no bias toward any face, which is better than many physical dice, whose drilled pips and rounded edges make some faces slightly more likely.

Why do more dice give a bell-shaped spread of totals?

Middle totals can be made in many more ways than extreme ones. With one die every face is equally likely; with 2d6 the totals form a triangle; with 3d6 or more they approach a normal distribution around the average.