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Statistics

Discrete Uniform Distribution Calculator

Calculate cumulative probability across equally likely integers in an inclusive range.

Data stays on this deviceConvention explained below
Probability workspace
Probability workspace

Probabilities range from 0 to 1. Check whether the method gives cumulative or exact-count probability.

See the method

Set model parameters

Runs on your device

Your probability

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter lowest integer, highest integer, value x.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

There are b−a+1 outcomes. CDF counts integers at or below floor(x), clamped to the supported range.

A WORKED EXAMPLE

Using lowest integer = 1, highest integer = 6, value x = 1, the result is 0.166666667. Change these example inputs to match your task; use the method above to check each step.

Understanding your result

Integer outcomes only, with both endpoints included. This differs from a continuous uniform distribution.

What to keep in mind

Integer outcomes only, with both endpoints included. This differs from a continuous uniform distribution. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Common questions

How do I use this discrete uniform distribution calculator?

Calculate cumulative probability across equally likely integers in an inclusive range. Enter lowest integer, highest integer, value x. The starting example is editable; use values for the same system or project.

Which assumptions affect this result?

Integer outcomes only, with both endpoints included. This differs from a continuous uniform distribution.

Methodology maintained by ClarityKit. How these tools are built and checked.