The Dilemma of Choice

The Dilemma of Choice
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2023-12-07 17:53
This example demonstrates the decision-making process in the Austrian Federal Council through a probability and statistics problem. It involves core mathematical concepts such as probability and statistics. The construction highlights the use of commands like `Join`, `Polygon`, and `Shuffle` to create dynamic multiple-choice questions. Suitable for middle school students to learn and practice probability and statistics.

GeoGebra Commands & Parameters

  1. Textfield(input1) → InputBox1
  2. Join(Sequence[Shuffle[{1, 2, 3, 4, 5, 6}], m, 1, 9]) → listExnums
  3. Textfield(input2) → InputBox2
  4. Polygon(PtopLeftCornerFeedback, PtopRightCornerFeedback, PbottomRightCornerFeedback, PbottomLeftCornerFeedback) → rectangleCorrect, rectangleCorrectS3, rectangleCorrectS4, rectangleCorrectS2, rectangleCorrectS1
  5. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForX, {7, 5, 10, 8, 7, 8, 5, 8, 0, 10, 7, 3, 6, 6, 8, 7, 10, 6, 10, 6, 5, 10, 5, 1, 7, 8, 3, 2, 0, 6, 9, 4, 10, 4, 8, 0, 10, 5, 2, 3, 3, 7, 9, 3, 7, 7, 2, 2, 8, 4, 4, 5, 5, 7, 0, 5, 3, 3, 10, 6, 1, 3, 4, 2, 6, 0, 2, 2, 10, 4, 5, 3, 6, 2, 5, 1, 8, 9, 2, 6, 4, 9, 3, 4, 5, 4, 10, 2, 0, 10, 7, 7, 2, 10, 4, 3, 5, 2, 3, 5}
  6. Element(randomNosForX, Mod[questionCount, 100] + 1) → numX
  7. Shuffle(Sequence[Random[0, 10], i, 1, 100]) → randomNosForY, {3, 2, 5, 4, 1, 1, 8, 8, 1, 6, 5, 9, 8, 7, 4, 6, 10, 1, 9, 0, 3, 2, 2, 2, 0, 5, 0, 9, 10, 6, 1, 6, 4, 4, 1, 6, 6, 1, 5, 2, 4, 10, 2, 9, 5, 0, 8, 9, 1, 5, 7, 2, 1, 2, 3, 6, 1, 10, 3, 4, 2, 5, 8, 3, 5, 3, 1, 8, 1, 9, 6, 2, 5, 2, 5, 1, 4, 3, 4, 10, 5, 10, 3, 8, 3, 4, 7, 1, 3, 6, 3, 2, 10, 0, 8, 2, 2, 2, 1, 5}
  8. Element(randomNosForY, Mod[questionCount, 100] + 1) → numY
  9. Append(true, Sequence[If[randomNosForX(i) ≟ randomNosForX(i - 1), false, true], i, 2, 100]) → stayX
  10. Append(true, Sequence[If[randomNosForY(i) ≟ randomNosForY(i - 1), false, true], i, 2, 100]) → stayY
  11. Remove(Sequence[If[stayX(i), randomNosForX(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForXwithoutRepeat
  12. Remove(Sequence[If[stayY(i), randomNosForY(i), 0], i, 1, 100], Sequence[0, i, 1, 100]) → randomNosForYwithoutRepeat
  13. Element(randomNosForXwithoutRepeat, Mod[questionCount, Length[randomNosForXwithoutRepeat]] + 1) → numXwithoutRepeat
  14. Element(randomNosForYwithoutRepeat, Mod[questionCount, Length[randomNosForYwithoutRepeat]] + 1) → numYwithoutRepeat
  15. Point(Line[A, xAxis]) → B

AI Drawing Prompt Reference

Visualize a probability and statistics problem demonstrating decision-making, featuring dynamically generated multiple-choice questions with polygons of different colors representing options, controlled by a slider, and displaying randomly generated coordinate points to highlight the application of probability and statistics.
The prompt above was compiled from the original drawing commands and is for reference only.