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Dice Roll Probability Calculator

Exact odds that a roll of nd s (+ modifier) meets a target — built by convolution, not simulated.

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Dice Roll Probability Calculator is free to use as often as you like, directly from this page. Its place is under Statistics & probability; Binomial Probability Calculator and Loot drop probability calculator answer the questions closest to this one.

How to use it

  1. Open the tool — no signup or install needed.
  2. Enter your input or adjust the available options.
  3. Get your result instantly, then copy or download it.

Frequently asked questions

What is Dice Roll Probability Calculator?

Exact odds that a roll of nd s (+ modifier) meets a target — built by convolution, not simulated.

When would I actually use this?

Summarising a dataset before drawing conclusions from it, checking whether a difference between two groups is real, and putting an interval around an estimate.

What is the most common mistake?

Reading a p-value as the probability that the hypothesis is wrong. It is the probability of seeing data at least this extreme if the null were true — a different statement, and a much weaker one.

How is Dice Roll Probability Calculator different from Binomial Probability Calculator?

They sit next to each other but answer different questions: Binomial Probability Calculator is the one to open when you need it to get P(X=k) and every cumulative form at once for up to 1000 trials, with the mean, variance, mode and a chart of the whole distribution. Pick whichever matches what you're starting from — both are free.

Is there a tool for the next step?

Loot drop probability calculator is the closest one after this: The chance of getting a rare drop over many tries — the maths behind grinding for a mount, a shiny, or a knife skin. From the per-attempt drop rate and the number of attempts, it works out the probability of at least one (or several) drops, and how many runs you need for a 50%, 90% and 99% chance.

What else is worth having open alongside it?

Odds to probability converter and Probability calculator — they come up in the same task often enough to be worth a second tab.

Where do the figures come from?

Distributions and test statistics are computed from their standard definitions, not from a lookup table, so results carry more digits than a printed table would. The assumptions each test makes are stated with it.

Further reading

All guides →
ExplainerA 1 % Drop Rate Does Not Mean One Hundred RunsAt 1 %, a hundred attempts give you 63.4 % — not certainty. Ninety per cent takes 230 attempts and ninety-nine takes 459, and more than a third of players are still empty-handed at a hundred.ExplainerProbability Basics, With ExamplesProbability measures how likely something is, from 0 to 1. Here's the basic idea, how to combine events with AND and OR, and the complement.ExplainerWhat Is a Z-Score? Standard Deviations Above the MeanA z-score is z = (x − μ) / σ — how many standard deviations a value sits from the mean. Learn how to compute it, read the standard normal curve, and turn it into a percentile.ExplainerMean, Median and Mode: What's the Difference?Mean, median and mode all describe the 'middle' of your data — but answer different questions. Here's what each means, with examples and when to use which.ExplainerGeometric vs Arithmetic Mean: Which to UseThe arithmetic mean adds and divides; the geometric mean multiplies and takes a root. Learn which fits growth rates, ratios, and averages.How-toHow to Calculate Standard Deviation (Step by Step)Standard deviation measures how spread out your data is. Here's the formula, a worked example, and the difference between population and sample.