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Card Distribution for Probability

Card Distribution for Probability
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2014-10-24 04:27
VectorSequenceCoordinate GeometryProbability & StatisticsTransformation
This example demonstrates a probability model of random card distribution. It involves core math concepts like probability calculation, combinatorics, and random events. GeoGebra commands and objects used in the construction summary include Sequence (sequence generation), Element (element selection), KeepIf (conditional filtering), Mod (modular operation), Sum (summation), Vector (vector operations), and Translate (translation transformation). Suitable for high school probability & statistics teaching or introductory mathematical modeling.

GeoGebra Commands & Parameters

  1. Sequence(Random[1, 52 - k], k, 0, n - 1) → liste1
  2. Sequence(k, k, 1, 52) → liste2
  3. Element(liste1, 1) → carte1
  4. KeepIf(x ≠ carte1, liste2) → liste3
  5. Element(liste3, Element[liste1, 2]) → carte2
  6. KeepIf(x ≠ carte2, liste3) → liste4
  7. Element(liste4, Element[liste1, 3]) → carte3
  8. KeepIf(x ≠ carte3, liste4) → liste5
  9. Element(liste5, Element[liste1, 4]) → carte4
  10. Mod(carte1, 13) → A1
  11. Mod(carte2, 13) → B1
  12. Mod(carte3, 13) → C1
  13. Mod(carte4, 13) → D1
  14. Sum(B3:B8) → B9
  15. Element(cartes, carte1) → Cart1
  16. Vector(A, B) → u
  17. Translate(Element[cartes, carte2], u) → Cart2
  18. Translate(Element[cartes, carte3], Vector[2 * u]) → Cart3
  19. Translate(Element[cartes, carte4], Vector[3 * u]) → Cart4
  20. KeepIf(x ≠ carte4, liste5) → liste6
  21. Element(liste6, Element[liste1, 5]) → carte5
  22. Translate(Element[cartes, carte5], Vector[4 * u]) → Cart5
  23. Mod(carte5, 13) → E1
  24. Sum(F3:F12) → F13

AI Drawing Prompt Reference

Illustrate a probability model of random card distribution with four cards, showing their positions and relationships. Map card values to 1-13 using modular operation, and use vector translation to display the position changes of each card sequentially, finally summarizing the total values of all cards.
The prompt above was compiled from the original drawing commands and is for reference only.