MathPlotAI Logo MathPlotAI

Two Dice from Three Dice Problem

Two Dice from Three Dice Problem
Loading the math board and drawing, please wait…
2016-05-01 13:04
PolygonVectorProbability & StatisticsParametric EquationGeometric Construction
This example demonstrates how to simulate a two-dice probability distribution using three indistinguishable dice. It involves core math concepts like Probability & Statistics, Polygon construction, Parametric Equations, and Vector operations. The construction uses GeoGebra commands such as Mod, If, Polygon, Sum, and objects like n, a, b, c, d_1, d_2, d_3. It is suitable for high school and above students to understand the integration of probability theory and geometric constructions.

GeoGebra Commands & Parameters

  1. Mod(n, 6) → a
  2. Mod(floor((n - 1) / 6) + 1, 6) → b
  3. Mod(floor((n - 1) / 36) + 1, 6) → c
  4. If(a ≟ 0, 6, a) → d_1
  5. If(b ≟ 0, 6, b) → d_2
  6. If(c ≟ 0, 6, c) → d_3
  7. Polygon((2, 2) + diecorner) → dieedge_1
  8. Polygon((2, 6) + diecorner) → dieedge_2
  9. Polygon((2, 10) + diecorner) → dieedge_3
  10. Sum((equalness * {d_1, d_2, d_3})) → total
  11. If(total ≟ 0, 0, total - 2) → adjtotal
  12. If(adjtotal < 2, adjtotal + 7, If[adjtotal > 12, adjtotal - 7, adjtotal]) → result
  13. Polygon((9, 5) + (1.5 * diecorner)) → poly1