Geometric Distribution

Initializing live version
Download to Desktop

Requires a Wolfram Notebook System

Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.

If a coin that comes up heads with probability is tossed repeatedly, the toss on which the first head is observed follows a geometric probability distribution. Drag the sliders and watch how the distribution changes. The mean of the distribution—the toss number on which one "expects" to observe the first head—is marked with a red circle on the horizontal axis.

Contributed by: Chris Boucher (March 2011)
Open content licensed under CC BY-NC-SA



The Mathematica built-in function GeometricDistribution is for the number of failures before a success, so there is a shift by 1 from that geometric distribution to the distribution shown here.

Feedback (field required)
Email (field required) Name
Occupation Organization
Note: Your message & contact information may be shared with the author of any specific Demonstration for which you give feedback.