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Card Distribution Probability Demo

Card Distribution Probability Demo
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2013-05-21 11:41
VectorSequenceCoordinate GeometryProbability & Statistics
This example demonstrates probability calculations and distribution scenarios during random card distribution. Core math concepts include Probability & Statistics, Binomial Distribution, and Ratio Calculations. GeoGebra commands used in construction are: Sequence, Element, KeepIf, Mod, Sum, Vector, and Translate. Suitable for high school probability statistics teaching and probability model exploration.

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 the probability distribution of random card distribution, use vectors to represent the positions of the cards, first draw the initial positions of four cards, then translate the positions of subsequent cards in sequence, distinguish them with different colors, and label the point numbers of each card, finally calculate the total point number.
The prompt above was compiled from the original drawing commands and is for reference only.