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Benford First-Digit Probability Calculator — result sheet
Calculate the expected first-digit probability under Benford's logarithmic distribution.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: P(d)=log₁₀(1+1/d) for first digit d from 1 through 9.
The logarithmic probability is returned as a fraction and percentage for one selected leading digit.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- First digit — 9 choices
Worked example
| Input | Value |
|---|---|
| First digit | 1 |
P(1)=log₁₀(2)≈30.10%.
Assumptions and limits
- The selected digit is one through nine and the data set is appropriate for a Benford-style scale distribution.
- Values are positive and not artificially bounded to a narrow range.
- The result is not a fraud finding, expectation for every data set, or audit conclusion.
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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