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Multi-Dice Outcome Probability

sum

Result

Probability (%)2.7777777778
Probability (decimal)0.0277777778
Favorable Outcomes1
Total Outcomes36
Ways to roll exactly 121
↗ Math

Multi-Dice Outcome Probability — free online calculator.

Formula

P = Favorable Outcomes / Total Outcomes (sides^dice)
  • Multi-Dice Outcome Probability calculates its result from Favorable Outcomes, Total Outcomes Sides Dice. It uses the formula P = Favorable Outcomes / Total Outcomes (sides^dice). Change any input to recalculate the result instantly.
  • The main inputs are Number of Dice, Sides per Die, Desired Outcome, Comparison. Enter them in the units and format shown in the calculator.
  • Keep comparable quantities in compatible units whenever the formula combines or compares them.
  • Changing any input above recalculates the result with the same calculation engine used by this page.

Example: Multi-Dice Outcome Probability

Inputs
  • Number of Dice: 2
  • Sides per Die: 6
  • Desired Outcome: 12 sum
  • Comparison: exactly

Using Favorable Outcomes = 2, Total Outcomes Sides Dice = 3, the calculated result is 0.6666666667.

Sample result: Calculating…

Frequently asked questions

What does the Multi-Dice Outcome Probability calculate?

Multi-Dice Outcome Probability — free online calculator.

Which values should I enter?

Enter Number of Dice, Sides per Die, Desired Outcome, Comparison using the units and format shown beside each field.

What formula does this calculator use?

The calculator uses the following relationship: P = Favorable Outcomes / Total Outcomes (sides^dice).

Why might my result differ from another source?

Results can differ when another source uses different units, rounding rules, conventions or assumptions. Compare the inputs and definitions before comparing results.

Does the result update automatically?

Yes. Changing an input updates the result using the same calculation engine shown on this page.

Page information

Updated: October 10, 2026