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Probability in a Box

Probability in a Box
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2015-10-09 02:22
SequenceProbability & StatisticsSlider Animation
This example uses animations to demonstrate probability problems in a box. It involves core concepts of probability and statistics, dynamically showing the occurrence of probability events through GeoGebra commands such as Polygon, Circle, Sequence, etc. Suitable for high school mathematics teaching, particularly in probability and statistics courses.

GeoGebra Commands & Parameters

  1. Polygon(E, F, 4.0) → poly1, e_1, f_1, h, i, G, H
  2. Circle(C, 1.0) → k_1
  3. Circle(A, 1.0) → p
  4. Circle(AA, 1.0) → t
  5. Circle(I, 1.0) → c_1
  6. Circle(M, 1.0) → d_1
  7. Circle(J, 1.0) → g_1
  8. Sequence(Random[1.0, 6.0], i, 1.0, 1000.0) → liste1
  9. First(liste1, n) → Tirage
  10. CountIf(x ≟ 1.0, Tirage) → B3
  11. CountIf(x ≟ 2.0, Tirage) → B4
  12. CountIf(x ≟ 3.0, Tirage) → B5
  13. CountIf(x ≟ 4.0, Tirage) → B6
  14. CountIf(x ≟ 5.0, Tirage) → B7
  15. CountIf(x ≟ 6.0, Tirage) → B8
  16. Element(liste1, n) → dd
  17. Circle(O, 1.0) → e
  18. Circle(O, 1.0) → f
  19. Circle(O, 1.0) → g
  20. Circle(O, 1.0) → q
  21. Circle(O, 1.0) → r
  22. Circle(O, 1.0) → s
  23. Point(h) → P
  24. Point(h) → Q
  25. Segment(P, Q) → j
  26. Segment(R, S) → m
  27. Segment(R, T) → a_1
  28. Point(m) → U
  29. Point(m) → V
  30. Point(m) → W
  31. Point(m) → Z
  32. Point(m) → A_1
  33. Point(m) → B_1
  34. Point(m) → C_1
  35. Point(m) → D_1
  36. Point(m) → E_1
  37. Point(m) → F_1
  38. Polygon(U, V, I_1, G_1) → poly2, u, v, i_1, g_2
  39. Polygon(W, J_1, K_1, Z) → poly3, w, j_1, k_2, z
  40. Polygon(A_1, B_1, M_1, L_1) → poly4, a_2, b_1, m_1, l_1
  41. Polygon(N_1, O_1, D_1, C_1) → poly5, n_1, o_1, d_2, c_2
  42. Point(m) → P_1
  43. Point(m) → Q_1
  44. Polygon(E_1, F_1, S_1, R_1) → poly6, e_2, f_2, s_1, r_1
  45. Polygon(P_1, Q_1, U_1, T_1) → poly7, p_1, q_1, u_1, t_1
  46. Point(a_1) → H_1
  47. Point(a_1) → V_1
  48. Point(a_1) → W_1
  49. Point(a_1) → Z_1
  50. Point(a_1) → A_2
  51. Point(a_1) → B_2
  52. Point(a_1) → C_2
  53. Vector(R, T) → v_1
  54. Polygon(P_1, D_2, F_2, Q_1) → poly8, p_2, d_3, f_3, q_2
  55. Polygon(H_2, G_2, F_1, E_1) → poly9, h_2, g_3, f_4, e_3
  56. Polygon(J_2, I_2, D_1, C_1) → poly10, j_2, i_2, d_4, c_3
  57. Polygon(L_2, K_2, B_1, A_1) → poly11, l_2, k_3, b_2, a_3
  58. Polygon(N_2, M_2, Z, W) → poly12, n_2, m_2, z_1, w_1
  59. Polygon(P_2, O_2, V, U) → poly13, p_3, o_2, v_2, u_2
  60. Circle(Q_2, 1.0) → h_1
  61. Circle(R_2, 1.0) → r_2
  62. Circle(S_2, 1.0) → s_2
  63. Circle(T_2, 1.0) → t_2
  64. Circle(U_2, 1.0) → h_3
  65. Circle(V_2, 1.0) → q_3