Dice Roll Simulator

Roll dice with any number of sides and quantity. See probability distributions.

By Konstantin Iakovlev · Updated April 2026 · Source: BLS

Roll Result

Average

7.0

Statistics

Minimum2
Maximum12
Average7.0

Use the Dice Roll Simulator above to calculate your results. Enter your values and see instant results — all calculations run in your browser.

Disclaimer: This calculator is for informational purposes only and does not constitute tax, financial, or legal advice. Results are estimates based on the information you provide and current rates. Always consult a qualified tax professional or financial advisor for advice specific to your situation.

How It Works

Roll as many dice as you like, with whatever number of sides each one carries, and get instant results alongside a full probability distribution. Tabletop players use it to sanity-check house rules, teachers lean on it to make probability tangible, and developers reach for it when balancing game mechanics, all without scrounging for physical dice. As board games and educational software have grown more intricate through 2026, a clear grasp of dice probabilities has become central to both strategy and learning.

Behind the scenes, the engine walks through every possible outcome for the configuration you choose. It computes the sum of each roll, tallies how many times each total occurs, and divides by the full count of possibilities, which is sides raised to the power of quantity. That gives an exact picture of the discrete distribution and the likelihood attached to every reachable sum.

Adding dice or sides balloons the sample space fast, and the distribution of sums stretches out into the familiar bell shape rather than staying flat. It is tempting to treat every total as equally likely, but with several dice the sums near the average dominate by a wide margin. The figures shown here are the theoretical probabilities; any run of real physical rolls will scatter around them with genuine short-term variance.

Example: Simulating a Critical Hit in a 2026 RPG

  1. 1 Imagine a popular 2026 RPG where a critical hit requires rolling a sum of 18 or higher on 3 six-sided dice (3d6). You want to know your chances.
  2. 2 Input '3' for the quantity of dice and '6' for the number of sides. The simulator will run the calculation, generating the probability distribution for all possible sums from 3 to 18.
  3. 3 The simulator displays the probability of rolling each sum. For sums of 18, you'd see a probability of 0.0046 (or 0.46%), indicating a very low chance. For sums of 17, it's 0.0139 (1.39%), and for 16, it's 0.0278 (2.78%).
  4. 4 This tells you that a critical hit requiring an 18 on 3d6 is quite rare, occurring less than half a percent of the time. If the game allowed for rolling 16 or higher for a critical, your chances would significantly increase to approximately 4.63% (0.0046 + 0.0139 + 0.0278). This data helps players make informed tactical decisions or game designers balance their mechanics.

Source: BLS · Last updated: April 2026

Frequently Asked Questions

What are the odds of rolling a 7 with two dice?
There are 6 ways to roll a 7 out of 36 possible outcomes with two six-sided dice, giving a probability of 16.67% (1 in 6). Seven is the most common sum with two dice.
How do you calculate dice probabilities?
For a single die, each face has a 1/N probability where N is the number of sides. For multiple dice, count favorable outcomes and divide by total outcomes (6^number of dice for standard dice).
What is the average roll of a six-sided die?
The expected value of a single six-sided die is 3.5 (the average of 1+2+3+4+5+6 = 21, divided by 6). For two dice, the average is 7. For three dice, the average is 10.5.