Skip to content

Two-Dice Sum Distribution

Embed This MicroSim

Copy this iframe to embed this MicroSim in your website:

1
<iframe src="https://dmccreary.github.io/data-science-course/sims/pair-dice-sum-distribution/main.html" height="500px" scrolling="no"></iframe>

Run the MicroSim in Fullscreen

About This MicroSim

This interactive simulation demonstrates the probability distribution of rolling two six-sided dice and summing the results. Students can observe how:

  • The sum of 7 is the most likely outcome (6/36 = 16.7% probability)
  • The distribution forms a triangular shape
  • Sums near the extremes (2 and 12) are least likely (1/36 = 2.8% probability)

Learning Objectives

  • Understand discrete probability distributions
  • Calculate probabilities for compound events
  • Observe the law of large numbers in action
  • Connect combinatorics to probability

References

  1. Dice Probability - Wikipedia - Probability theory for dice
  2. p5.js Reference - p5.js Documentation - JavaScript library used to build this interactive simulation