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Dice Roll Simulation by George Sturr

Dice Roll Simulation by George Sturr
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2014-04-30 12:29
FunctionSequenceProbability & StatisticsGeometric Construction
In collections Statistics Demonstrations Statistics Demonstrations Statistics Demonstrations Statistics Demonstrations
This example demonstrates the distribution of dice sums when rolling one, two, or three standard dice. It involves core math concepts like probability & statistics, geometric distribution, and piecewise functions. The construction uses commands such as Sequence, SelectedIndex, If, and BarChart, along with objects like dice, freq, counter, and various graph settings. It is suitable for high school students learning probability statistics and for educational demonstrations.

GeoGebra Commands & Parameters

  1. Sequence(Element[freq, k], k, 1, (6 * dice) + 1) → freq2
  2. Sequence(Element[freq2, k] / n, k, 1, Length[freq2]) → relFreq
  3. SelectedIndex(graphMenu) → graphType
  4. If(n ≟ 0, 0, Max[freq]) → fMax
  5. Sequence(k - 1, k, 1, (6 * dice) + 1) → diceSum
  6. BarChart(diceSum, relFreq) → relFreqChart
  7. If(n ≟ 0, 0, Max[relFreq]) → relMax
  8. BarChart(diceSum, freq2) → freqChart
  9. Sequence(Text["" + (Element[relFreq, k]), (k - 1.3, Element[relFreq, k] + step)], k, 1, Length[relFreq]) → lbl2
  10. Sequence(If[Element[freq2, k] > 0, Text["" + (Element[freq2, k]), (k - 1.2, Element[freq2, k] + step)]], k, 1, Length[freq2]) → lbl