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Six-Sided Dice Sum Probability Calculator — result sheet
Calculate the exact probability of a target sum when rolling a selected number of fair six-sided dice.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Probability = count of outcomes with target sum / 6^number of dice.
A dynamic count enumerates the finite equally likely sums without simulating random rolls.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Number of dice — minimum 1; maximum 100
- Target sum — minimum 1; maximum 600
Worked example
| Input | Value |
|---|---|
| Number of dice | 3 |
| Target sum | 10 |
Probability = 27/216 = 12.5%.
Assumptions and limits
- Dice are fair, independent, six-sided, and numbered one through six.
- The number of dice and target sum are whole numbers in the displayed bounds.
- Physical dice bias, rolling technique, and conditional information are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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