Galton Board Simple Edition Probability Demonstrator

Galton Board
Simple Probability Demonstrator

European Product Design Award WinnerGalton Board Patent

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Available on Amazon.com

The Galton Board (Simple Edition) with Pascal's triangle is a 6.5 inch by 4.5 inch probability demonstrator providing a visualization of math in motion and the powers of the probabilities and statistics. Printed on the backside of the board is a theoretical investment portfolio histogram, which illustrates the randomness and the probabilities of market returns.

When the Galton Board is turned upsidedown, the beads flow into the top reservoir. When turn back over and held on a level surface, the 4,280 steel beads and one large golden bead cascade from the reservoir through 14 rows of symmetrically placed hexagons in the Galton Board. When the device is level, beads bounce off of the 105 hexagons with equal probability of moving to the left or right. As the beads settle into one of the 15 bins at the bottom of the board, they accumulate to create a bell-shaped histogram. Flipping the Galton board is like tossing 59,920 coins in about 2 seconds. A bead representing fourteen heads in a row would land in bin #14 and a bead representing no heads (fourteen tails) would land in bin #0.

View User Guide

Simple Galton Board — Overview

Tool for visualizing probability, randomness, and the normal distribution.

1. Introduction

  • Introduces the Simple Galton Board as a tool for visualizing probability, randomness, and normal distribution.
  • Demonstrates key statistical principles like the central limit theorem and regression to the mean.
  • Designed for use in educational, investment, and behavioral finance contexts.

2. How the Galton Board Works

  • Beads are dropped through a series of hexagons, bouncing left or right at random.
  • The resulting path approximates a binomial distribution, which converges to a normal distribution over many trials.
  • Beads collect in bins at the bottom, forming the bell curve.

3. Key Features

  • Visual display of the normal curve and Pascal's Triangle.
  • One Golden Bead represents a single trial—demonstrating the unpredictability of individual outcomes.
  • Includes labels for standard deviations and probabilities along the curve.

4. Educational Value

Teaches:

  • Law of Large Numbers
  • Central Limit Theorem
  • Expected value and standard deviation
  • Randomness vs predictability

Highlights the importance of sticking to a disciplined investment strategy rather than reacting emotionally to short-term results.


5. Behavioral Finance Application

  • Illustrates how short-term randomness can mislead investors.
  • Encourages long-term thinking and diversified investing.
  • The Golden Bead is used to show how a single outcome can be far from the average.

6. Setup and Use

  • Place the board on a level surface.
  • Release beads from the top using the provided mechanism.
  • Watch as beads bounce randomly and collect in bins.

7. Maintenance & Care

  • Keep the board clean and upright.
  • Handle gently to avoid damaging the hexagons or frame.

8. Additional Resources

  • For more information on related educational content on investing and behavioral science visit IFA.com.

You can read or download the full PDF here.

Facts About the Galton Board

Galton Board and Financial Markets
The Galton Board and Financial Markets

IFA is the first and only company to use the Galton Board to demonstrate and increase understanding of financial market behavior using real historical data.

Manufacturing Galton Boards for 10 years
Manufacturing Galton Boards for 10 years

We have been designing, engineering, and manufacturing Galton Boards for 10 years, and have developed 4 different models.

60,000 Galton Boards Sold
60,000 Galton Boards Sold

IFA is by far the world's largest producer of Galton Boards. A total of 60,000 Galton Boards have been sold worldwide.

Galton Board has 2 patents
2 Patents

IFA holds two US Patents for Galton Boards. US Patent Number D784,449 | US Patent Number 12,268,971 B1

STEM accredited
STEM accredited

IFA Galton Boards are STEM accredited. STEM stands for Science, Technology, Engineering and Math. STEM education integrates concepts that are taught as separate subjects in different classes and emphasizes the application of knowledge to real-life situations.

Winner of the 2023 European Product Design Awards
Winner of the 2023 European Product Design Awards

The IFA Galton Board won a prestigious 2023 European Product Design Award. Winner in EDUCATIONAL/Educational Tools: Teaching Aids.

Galton Board User Guide
Galton Board User Guide

IFA Galton Boards come with a detailed, full color 20 page User Guide. The user guide covers over 20 mathematical items of interest such as Pascals Triangle, Binomial Theorem, Fibonacci Numbers and many more that are built into the galton board.

Galton Board Reviews
Reviews

Reviews have been overwhelmingly positive including several from well known personalities including YouTube Vsauce creator Michael Stevens and CSU Professor of Physics Dr. Raymond Hall.

Galton Board Website
Galton Board Website

IFA maintains a website with links to dozens of videos, articles, and photos dedicated to the historical, mathematical, and statistical understanding of Galton Boards, and their real world applications.

Videos about the Galton Board
Videos

IFA has produced several videos about the science and math of Galton Boards. Some of the categories we cover in our videos are pascals triangle, the fibonnachi sequence and the central limit theorem.

Galton Board App
Galton Board App

IFA developed a free Galton Board app available online at the Apple app store and Google Play Store. This innovative application transforms your mobile device into a dynamic, interactive probability demonstrator that brings centuries-old mathematical concepts to life.

3D Galton Board
3D Galton Board

IFA sponsored a senior mechanical engineering design project at Purdue University Indianapolis that created the world's first physical 3D Galton Board.

Galton Board App Logo
Galton Board Desktop and Mobile App

Galton Board Mobile and Desktop App

Apple App Store
Apple App Store Mac Apps
Google Play Android App

Unlock the power of probabilities and explore the beauty of mathematics in motion with the Galton Board App. This innovative application transforms your mobile device into a dynamic, interactive probability demonstrator that brings centuries-old mathematical concepts to life. The app utilizes your iPhone's and iPad's gyroscope capabilities, creating an immersive experience where the beads appear as if they are rolling around inside your device.

Learn More
Galton Board App Logo
Galton Board Desktop and Mobile App
Four Pines Publishing, Inc. was acquired by IFA | US Patent Number D784,449 | US Patent Number 12,268,971 B1