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Cards Distribution for Probability by Chame

Cards Distribution for Probability by Chame
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2013-05-28 03:14
FunctionSequenceProbability & Statistics
This example demonstrates the distribution of cards in probability. It involves core concepts of probability and statistics. Using GeoGebra commands such as Sequence, Element, KeepIf, etc., a dynamic model of card distribution can be constructed. Suitable for high school math education or students learning probability and statistics.

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

Visualize a dynamic model of card distribution for probability, showing five randomly drawn cards and their positional relationships, with different colors representing the modulo 13 remainders of each card. Start by drawing the first card, then sequentially translate the subsequent cards at equal intervals, forming an arrangement of five cards to illustrate core concepts in probability and statistics.
The prompt above was compiled from the original drawing commands and is for reference only.