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Experimental Probability by tmoorehead

Experimental Probability by tmoorehead
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2016-05-06 01:47
VectorProbability & StatisticsGeometric Construction
This example demonstrates experimental probability in probability & statistics through simulations. Core concepts include probability, random variables, and histograms. It utilizes GeoGebra commands like CountIf, Circle, Rotate, Vector, Line, OrthogonalLine, Intersect, CircleSector, Midpoint, IsInRegion, Sum, Element, and TableText. Suitable for high school students learning probability theory and understanding the difference between theoretical and experimental probability.

GeoGebra Commands & Parameters

  1. CountIf(x ≟ "orange", B2:B11) → E7
  2. CountIf(x ≟ "violet", B2:B11) → E6
  3. CountIf(x ≟ "green", B2:B11) → E5
  4. CountIf(x ≟ "yellow", B2:B11) → E4
  5. CountIf(x ≟ "red", B2:B11) → E3
  6. CountIf(x ≟ "blue", B2:B11) → E2
  7. Circle(A, B) → c
  8. Rotate(S0, ((-a))°, A) → C
  9. Vector(A, C) → u
  10. Line(B, A) → b
  11. OrthogonalLine(A, b) → e
  12. Intersect(c, e) → D, E
  13. CircleSector(A, E, B) → f
  14. Intersect(c, b) → F, G
  15. Midpoint(G, E) → H
  16. Line(A, H) → g
  17. Intersect(c, g) → I, J
  18. CircleSector(A, J, E) → h
  19. CircleSector(A, G, J) → k
  20. CircleSector(A, D, G) → p
  21. CircleSector(A, I, D) → q
  22. CircleSector(A, B, I) → r
  23. IsInRegion(C, f) → i
  24. IsInRegion(C, h) → j
  25. Sum(Sequence[(IsInRegion[C, Element[liste2, k]] * k), k, 1, 6]) → m
  26. Element(liste1, m) → texte1
  27. TableText({{A1, B1}, {A2, B2}, {A3, B3}, {A4, B4}, {A5, B5}, {A6, B6}, {A7, B7}, {A8, B8}, {A9, B9}, {A10, B10}, {A11, B11}}, "|_") → text1
  28. TableText({{D1, E1, F1}, {D2, E2, F2}, {D3, E3, F3}, {D4, E4, F4}, {D5, E5, F5}, {D6, E6, F6}, {D7, E7, F7}}, "|_") → text2