Skip to content
Two white dice tumbling against a blue background
Plain-language resultsOdds explained, not just numbers

Category 08 of 12 · Probability and odds

Statistics Calculators

Statistics calculators turn probability questions into clear numbers: the chance of rolling a total with dice, the odds of a rare game drop after many tries, how many arrangements are possible, probabilities under the normal and binomial distributions, and how much one risk differs from another.

Each page explains the formula with worked examples and common mistakes, so you understand the result as well as get it.

7live calculators
3topics
Freeno sign-up

01Probability and games

Dice, drops and arrangements. · 4 live

Live

Dice Average Calculator

Find the average, minimum, maximum and standard deviation of any dice roll like 3d6 or 8d6+2.

Live

Permutation Calculator

Calculate permutations (nPr) with or without repetition, circular arrangements and words with repeated letters.

02Distributions

Areas, percentiles and exact probabilities. · 2 live

Live

Normal Distribution Calculator

Find normal distribution probabilities below, above or between values, convert scores to z-scores.

03Risk

Compare risks between groups. · 1 live

Quick guide

Which calculator do I need?

Match what you’re trying to do with the right tool.

If you’re…Board games and tabletop RPGs
UseDice Probability or Dice Average Calculator
If you’re…Grinding for loot
UseDrop Chance Calculator
If you’re…Counting arrangements
UsePermutation Calculator
If you’re…Z-scores and percentiles
UseNormal Distribution Calculator
If you’re…Successes in n trials
UseBinomial Distribution Calculator
If you’re…Comparing risks in a study
UseRelative Risk Calculator

How we build and check these calculators

Every calculator on Tuff Search shows the formula or method it uses, a worked example and its limits, and lists its sources where facts matter. Health, money and legal-rule pages are checked against official or peer-reviewed sources and dated. Read how we build and review calculators in our Editorial Policy.

FAQ

Frequently asked questions

Short answers about the statistics calculators.

Need a calculator we don’t have?

We add new calculators regularly. Email suggestions@tuffsearch.com with the calculation you need.

New calculator ideassuggestions@tuffsearch.com

Probability is favourable outcomes ÷ all outcomes (1/6 for a die); odds compare favourable with unfavourable outcomes (1 to 5).

Use the binomial for counts of successes in a fixed number of independent trials; use the normal for continuous measurements, or as an approximation to the binomial when n is large.

Exact where possible (dice, binomial, permutations); numerical methods accurate to many decimal places for the normal distribution.

Yes for learning and checking. For published research, use statistical software and state your methods.

Keep exploring

Related categories

Other calculators people use alongside these.

Math Calculators

Rounding, percent error, radicals, midpoint, synthetic division