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Custom Dice Sum Probability Calculator — result sheet
Calculate an exact target-sum probability for a selected number of fair dice with a selected number of sides.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Probability = exact dynamic-program count of target sums divided by sides^dice.
The finite dynamic program handles arbitrary fair dice within bounded sides and dice counts.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Sides per die — minimum 2; maximum 100
- Number of dice — minimum 1; maximum 50
- Target sum — minimum 1; maximum 5000
Worked example
| Input | Value |
|---|---|
| Sides per die | 8 |
| Number of dice | 2 |
| Target sum | 9 |
Probability =8/64 =12.5%.
Assumptions and limits
- Dice are independent, fair, and numbered one through the selected number of sides.
- Sides, dice, and target sum are whole numbers in the displayed bounds.
- Physical dice bias, rerolls, modifiers, and conditional rules 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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