written by
Wolfgang Christian
content provider:
Anne Cox

A Galton board is a vertical board with n rows of pegs onto which a ball is dropped. Each time a ball hits a peg, it has a probability p of bouncing to the left and a probability of 1-p of bouncing to the right. The simulation's histogram shows the distribution of x-coordinates as the balls leave the board and are collected into bins. The simulation gives rise to the binomial distribution if the probabilities of left and right bounces are equal. At first there does not seem to be any pattern but after many trials the familiar "bell curve" shape begins to emerge.

Please note that this resource requires
at least version 1.5 of
Java (JRE).

Galton Board Model Source Code
The source code zip archive contains an XML representation of the Galton Board Model. Unzip this archive in your EJS workspace to compile and run this model using EJS. download 11kb .zip
Published: February 24, 2009
previous versions

Christian, W. (2008). Galton Board Model [Computer software]. Retrieved August 17, 2017, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7407&DocID=553

%0 Computer Program %A Christian, Wolfgang %D 2008 %T Galton Board Model %U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=7407&DocID=553

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