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Two-Dice Sum Probability Calculator — result sheet
Calculate the number of ordered outcomes, probability, percentage, and complement for a target sum from two fair six-sided dice.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: favorable outcomes = 6-|7-s| for s∈[2,12]; P(sum=s)=favorable/36.
Two labeled dice create 36 equally likely ordered outcomes. The number of pairs producing a sum rises to seven and then falls symmetrically.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Target sum — minimum 2; maximum 12
Worked example
| Input | Value |
|---|---|
| Target sum | 7 |
Favorable ordered outcomes: 6 of 36; probability: 1/6; percentage: 16.67%.
Assumptions and limits
- Both dice are fair, six-sided, independent, and distinguishable by order for counting outcomes.
- The target is a whole-number sum from 2 through 12.
- The result is theoretical probability and does not account for biased dice or a physical throwing experiment.
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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