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Experimental Probability Demo by KK Ip

Experimental Probability Demo by KK Ip
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2016-03-22 20:44
Coordinate GeometryProbability & StatisticsGeometric Construction
This example demonstrates probability through experimental simulations, visually showing the relationship between the frequency of random events and theoretical probability. It involves core concepts like probability & statistics, frequency distribution, sample space, and events. GeoGebra commands and objects used include CountIf, Circle, Rotate, Vector, Line, OrthogonalLine, Intersect, CircleSector, Midpoint, IsInRegion, Sum, Element, TableText, and FractionText. Suitable for high school probability & statistics education to understand the connection between experimental and theoretical probabilities and data processing methods.

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. FractionText(F2) → F_22
  29. FractionText(F3) → F_32
  30. FractionText(F4) → F_42
  31. FractionText(F5) → F_52
  32. FractionText(F6) → F_62
  33. FractionText(F7) → F_72
  34. TableText({{D1, E1, F1}, {D2, E2, F_22}, {D3, E3, F_32}, {D4, E4, F_42}, {D5, E5, F_52}, {D6, E6, F_62}, {D7, E7, F_72}}, "|_") → text2