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Probability Marbles APS

Probability Marbles APS
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2019-05-16 22:04
VectorProbability & StatisticsGeometric Construction
This example demonstrates the graphical simulation of marble distribution and conditional probability in probability statistics. Core math concepts include probability, conditional probability, midpoint, and vector. Construction highlights the use of GeoGebra commands like Circle, Element, Textfield, Segment, Midpoint, and Vector. Suitable for high school students and math enthusiasts for teaching and exploration in probability statistics.

GeoGebra Commands & Parameters

  1. Circle(G, 0.25) → g
  2. Circle(H, 0.25) → h
  3. Circle(I, 0.25) → k
  4. Circle(J, 0.25) → p
  5. Circle(K, 0.25) → q
  6. Circle(L, 0.25) → r
  7. Circle(M, 0.25) → s
  8. Circle(N, 0.25) → t
  9. Circle(O, 0.25) → c_1
  10. Circle(P, 0.25) → d_1
  11. Circle(Q, 0.25) → e_1
  12. Circle(R, 0.25) → f_1
  13. Circle(S, 0.25) → g_1
  14. Circle(T, 0.25) → h_1
  15. Circle(U, 0.25) → k_1
  16. Circle(V, 0.25) → p_1
  17. Circle(W, 0.25) → q_1
  18. Circle(Z, 0.25) → r_1
  19. Circle(A_1, 0.25) → s_1
  20. Circle(B_1, 0.25) → t_1
  21. Circle(C_1, 0.25) → c_2
  22. Circle(D_1, 0.25) → d_2
  23. Circle(E_1, 0.25) → e_2
  24. Circle(F_1, 0.25) → f_2
  25. Circle(G_1, 0.25) → g_2
  26. Circle(H_1, 0.25) → h_2
  27. Element(Color, Choose) → text1
  28. Textfield(a) → InputBox1
  29. Textfield(b) → InputBox2
  30. Textfield(Percentage) → InputBox3
  31. Circle(G_2, 0.25) → g_3
  32. Circle(G_3, 0.25) → g_4
  33. Circle(G_4, 0.25) → g_5
  34. Circle(G_5, 0.25) → g_6
  35. Segment(I_1, J_1) → i
  36. Midpoint(i) → K_1
  37. Vector(L_1, I_1) → u
  38. Vector(M_1, K_1) → v
  39. Vector(N_1, J_1) → w
  40. Vector(Z_1, W_1) → j

AI Drawing Prompt Reference

Create an educational diagram for probability statistics: scatter many small circles of equal size across the canvas, representing marbles of different colors. Include three input boxes for entering a number, a ratio, and a percentage, with a text label nearby showing the currently selected color. Below or beside the main area, draw a line segment connecting two key points, mark its midpoint, and from the midpoint and the two endpoints, draw three arrow vectors pointing in different directions to illustrate transitions or event paths in conditional probability. Keep the layout clear, emphasizing the visual link between marble distribution and probability calculations.
The prompt above was compiled from the original drawing commands and is for reference only.