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Dice Probability Calculator

Find the exact chance of a target sum with identical fair dice. One to 20 independent dice, each with 2–20 consecutively numbered sides.

Free to useNo sign-upRuns in your browser
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Enter the inputs, then select Calculate result.

Your result
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Result will appear here

How Dice Probability Calculator works

Find the exact chance of a target sum with identical fair dice.

One to 20 independent dice, each with 2–20 consecutively numbered sides. Uses exact integer counts; target sums outside the possible range return zero.

Concept diagram for Dice Probability Calculator, showing number of fair dice input and the supported output.
Concept diagram; the three operation images are actual browser captures.

How to use Dice Probability Calculator

Follow the labelled inputs.

Enter number of fair dice

Replace the example with number of fair dice. The field labels specify the expected format and units.

Input and settings
Dice Probability Calculator: input and settings in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Check the remaining inputs

Set sides per die, target sum. One to 20 independent dice, each with 2–20 consecutively numbered sides.

Tool result
Dice Probability Calculator: tool result in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Run, review and save

Select Calculate result. Review the calculated result, then copy it or download the result text.

Review the details
Dice Probability Calculator: review the details in the implemented browser tool
Actual local browser view. Open the image to read it at full size.

Examples and uses for Dice Probability Calculator

Check the supplied example

The starting example produces Favorable outcomes: 6; Total outcomes: 36; Probability: 1/6; Percent: 16.6666666667%. Find the exact chance of a target sum with identical fair dice.

Abstract input values and a mathematical worksheet.
Start with the values. Concept illustration.

Use your own inputs

Read the labels for number of fair dice and sides per die, target sum. One to 20 independent dice, each with 2–20 consecutively numbered sides.

Two calculation examples shown for comparison.
Compare a second example. Concept illustration.

Record a reviewed result

Copy the calculated result into your notes. Keep the formula and assumptions with it if someone else needs to reproduce the calculation.

A calculation and supporting explanation represented conceptually.
Explain the calculation. Concept illustration.

How to read the result

Read the units and assumptions with the output.

Find the exact chance of a target sum with identical fair dice.

One to 20 independent dice, each with 2–20 consecutively numbered sides. Uses exact integer counts; target sums outside the possible range return zero.

A mathematical result connected to the values used to calculate it.
Read the result with its inputs. Concept illustration.

Supported input and limits

Check the stated scope before you run it.

One to 20 independent dice, each with 2–20 consecutively numbered sides. Uses exact integer counts; target sums outside the possible range return zero.

The input stays in this browser. Copy result and Download save the same displayed text.

Values and units reviewed before relying on a mathematical result.
Check values and units. Concept illustration.

Dice Probability Calculator: common questions

Answers about using Dice Probability Calculator and understanding its results.

Which inputs does this tool accept?

One to 20 independent dice, each with 2–20 consecutively numbered sides. Uses exact integer counts; target sums outside the possible range return zero.

Can I copy or download the result?

Yes. Copy result copies the displayed text, and Download saves the same result as a text file. Calculations run in your browser without an account.

Calculate result with your input

Check the calculated result, then copy or download it.

Calculate result