Statistical Library

Discrete Uniform Distribution in Google Sheets

Equal odds across a fixed set of whole-number outcomes.

Interactive Sandbox

10,000 simulations running live in your browser.

Base Value 100
79.689.8100110.2120.4
P10 Worst Case 84
P50 Median 100
P90 Best Case 116

When to use it

The Discrete Uniform distribution assigns equal probability to every integer from a minimum to a maximum. Use it when outcomes are countable and there's no reason to prefer one over another: rolling a die, picking a random scenario from an equally-weighted list, or modeling regulatory outcomes that are discrete but hard to rank. It's the integer sibling of the Uniform distribution.

  • Scenario selection when outcomes are discrete and equally likely
  • Die-roll / game mechanics simulation
  • Random assignment and random sampling in bootstrapped models
  • Stress-testing with equally-weighted regulatory scenarios

How to build it

Native Sheets Formula

=RANDBETWEEN(min, max)

Using native RAND() requires you to copy this formula 10,000 times manually, which severely lags the browser.

The MonteSheet Way

MonteSheet uses a local browser engine to run 100,000 iterations in 4 seconds without writing a single formula.