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Introduction to Probability

Introduction to Probability
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2020-05-11 13:38
Probability & StatisticsParametric EquationGeometric Construction
This example demonstrates fundamental concepts in probability theory and their graphical representation. Key math concepts include probability distributions, bar charts, frequency tables, parametric curves, complex numbers, hyperbolas, and more. Construction highlights GeoGebra commands like Polygon, PointIn, OrthogonalLine, Intersect, If, CountIf, BarChart, and FrequencyTable. Suitable for high school students and math enthusiasts exploring probability & statistics and geometric constructions.

GeoGebra Commands & Parameters

  1. Polygon(O_A, O_B, 4) → poly1, f, g, h, i, A_2, B_2
  2. PointIn(poly1) → O_O
  3. OrthogonalLine(O_O, h) → j
  4. OrthogonalLine(O_O, i) → k
  5. Intersect(k, i) → D_2
  6. Intersect(j, f) → E_1
  7. Intersect(k, g) → F_1
  8. Intersect(j, h) → G_1
  9. Polygon(O_O, G_1, B_2, D_2) → q1, c, g_1, b, d
  10. Polygon(O_O, D_2, O_A, E_1) → q2, c_1, d_1, o_a, e
  11. Polygon(O_O, F_1, A_2, G_1) → q3, c_2, f_1, a, g_2
  12. Polygon(O_O, F_1, O_B, E_1) → q4, c_3, f_2, o_b, e_1
  13. If(n ≥ A2, If[B2 < E2 ∧ C2 < F2, 3, If[B2 > E2 ∧ C2 < F2, 4, If[B2 < E2 ∧ C2 > F2, 2, If[B2 > E2 ∧ C2 > F2, 1]]]], "") → D2
  14. If(n ≥ A3, If[B3 < E3 ∧ C3 < F3, 3, If[B3 > E3 ∧ C3 < F3, 4, If[B3 < E3 ∧ C3 > F3, 2, If[B3 > E3 ∧ C3 > F3, 1]]]], "") → D3
  15. If(n ≥ A4, If[B4 < E4 ∧ C4 < F4, 3, If[B4 > E4 ∧ C4 < F4, 4, If[B4 < E4 ∧ C4 > F4, 2, If[B4 > E4 ∧ C4 > F4, 1]]]], "") → D4
  16. If(n ≥ A5, If[B5 < E5 ∧ C5 < F5, 3, If[B5 > E5 ∧ C5 < F5, 4, If[B5 < E5 ∧ C5 > F5, 2, If[B5 > E5 ∧ C5 > F5, 1]]]], "") → D5
  17. If(n ≥ A6, If[B6 < E6 ∧ C6 < F6, 3, If[B6 > E6 ∧ C6 < F6, 4, If[B6 < E6 ∧ C6 > F6, 2, If[B6 > E6 ∧ C6 > F6, 1]]]], "") → D6
  18. If(n ≥ A7, If[B7 < E7 ∧ C7 < F7, 3, If[B7 > E7 ∧ C7 < F7, 4, If[B7 < E7 ∧ C7 > F7, 2, If[B7 > E7 ∧ C7 > F7, 1]]]], "") → D7
  19. If(n ≥ A8, If[B8 < E8 ∧ C8 < F8, 3, If[B8 > E8 ∧ C8 < F8, 4, If[B8 < E8 ∧ C8 > F8, 2, If[B8 > E8 ∧ C8 > F8, 1]]]], "") → D8
  20. If(n ≥ A9, If[B9 < E9 ∧ C9 < F9, 3, If[B9 > E9 ∧ C9 < F9, 4, If[B9 < E9 ∧ C9 > F9, 2, If[B9 > E9 ∧ C9 > F9, 1]]]], "") → D9
  21. If(n ≥ A10, If[B10 < E10 ∧ C10 < F10, 3, If[B10 > E10 ∧ C10 < F10, 4, If[B10 < E10 ∧ C10 > F10, 2, If[B10 > E10 ∧ C10 > F10, 1]]]], "") → D10
  22. If(n ≥ A11, If[B11 < E11 ∧ C11 < F11, 3, If[B11 > E11 ∧ C11 < F11, 4, If[B11 < E11 ∧ C11 > F11, 2, If[B11 > E11 ∧ C11 > F11, 1]]]], "") → D11
  23. If(n ≥ A12, If[B12 < E12 ∧ C12 < F12, 3, If[B12 > E12 ∧ C12 < F12, 4, If[B12 < E12 ∧ C12 > F12, 2, If[B12 > E12 ∧ C12 > F12, 1]]]], "") → D12
  24. If(n ≥ A13, If[B13 < E13 ∧ C13 < F13, 3, If[B13 > E13 ∧ C13 < F13, 4, If[B13 < E13 ∧ C13 > F13, 2, If[B13 > E13 ∧ C13 > F13, 1]]]], "") → D13
  25. If(n ≥ A14, If[B14 < E14 ∧ C14 < F14, 3, If[B14 > E14 ∧ C14 < F14, 4, If[B14 < E14 ∧ C14 > F14, 2, If[B14 > E14 ∧ C14 > F14, 1]]]], "") → D14
  26. If(n ≥ A15, If[B15 < E15 ∧ C15 < F15, 3, If[B15 > E15 ∧ C15 < F15, 4, If[B15 < E15 ∧ C15 > F15, 2, If[B15 > E15 ∧ C15 > F15, 1]]]], "") → D15
  27. If(n ≥ A16, If[B16 < E16 ∧ C16 < F16, 3, If[B16 > E16 ∧ C16 < F16, 4, If[B16 < E16 ∧ C16 > F16, 2, If[B16 > E16 ∧ C16 > F16, 1]]]], "") → D16
  28. If(n ≥ A17, If[B17 < E17 ∧ C17 < F17, 3, If[B17 > E17 ∧ C17 < F17, 4, If[B17 < E17 ∧ C17 > F17, 2, If[B17 > E17 ∧ C17 > F17, 1]]]], "") → D17
  29. If(n ≥ A18, If[B18 < E18 ∧ C18 < F18, 3, If[B18 > E18 ∧ C18 < F18, 4, If[B18 < E18 ∧ C18 > F18, 2, If[B18 > E18 ∧ C18 > F18, 1]]]], "") → D18
  30. If(n ≥ A19, If[B19 < E19 ∧ C19 < F19, 3, If[B19 > E19 ∧ C19 < F19, 4, If[B19 < E19 ∧ C19 > F19, 2, If[B19 > E19 ∧ C19 > F19, 1]]]], "") → D19
  31. If(n ≥ A20, If[B20 < E20 ∧ C20 < F20, 3, If[B20 > E20 ∧ C20 < F20, 4, If[B20 < E20 ∧ C20 > F20, 2, If[B20 > E20 ∧ C20 > F20, 1]]]], "") → D20
  32. If(n ≥ A21, If[B21 < E21 ∧ C21 < F21, 3, If[B21 > E21 ∧ C21 < F21, 4, If[B21 < E21 ∧ C21 > F21, 2, If[B21 > E21 ∧ C21 > F21, 1]]]], "") → D21
  33. If(n ≥ A22, If[B22 < E22 ∧ C22 < F22, 3, If[B22 > E22 ∧ C22 < F22, 4, If[B22 < E22 ∧ C22 > F22, 2, If[B22 > E22 ∧ C22 > F22, 1]]]], "") → D22
  34. If(n ≥ A23, If[B23 < E23 ∧ C23 < F23, 3, If[B23 > E23 ∧ C23 < F23, 4, If[B23 < E23 ∧ C23 > F23, 2, If[B23 > E23 ∧ C23 > F23, 1]]]], "") → D23
  35. If(n ≥ A24, If[B24 < E24 ∧ C24 < F24, 3, If[B24 > E24 ∧ C24 < F24, 4, If[B24 < E24 ∧ C24 > F24, 2, If[B24 > E24 ∧ C24 > F24, 1]]]], "") → D24
  36. If(n ≥ A25, If[B25 < E25 ∧ C25 < F25, 3, If[B25 > E25 ∧ C25 < F25, 4, If[B25 < E25 ∧ C25 > F25, 2, If[B25 > E25 ∧ C25 > F25, 1]]]], "") → D25
  37. If(n ≥ A26, If[B26 < E26 ∧ C26 < F26, 3, If[B26 > E26 ∧ C26 < F26, 4, If[B26 < E26 ∧ C26 > F26, 2, If[B26 > E26 ∧ C26 > F26, 1]]]], "") → D26
  38. If(n ≥ A27, If[B27 < E27 ∧ C27 < F27, 3, If[B27 > E27 ∧ C27 < F27, 4, If[B27 < E27 ∧ C27 > F27, 2, If[B27 > E27 ∧ C27 > F27, 1]]]], "") → D27
  39. CountIf(x ≟ 1, D2:D108) → I2
  40. CountIf(x ≟ 2, D2:D108) → I3
  41. CountIf(x ≟ 3, D2:D108) → I4
  42. CountIf(x ≟ 4, D2:D108) → I5
  43. BarChart({H2, H3, H4, H5}, {J2, J3, J4, J5}, 0.5) → l
  44. FrequencyTable(l) → text1
  45. If(n ≥ A28, If[B28 < E28 ∧ C28 < F28, 3, If[B28 > E28 ∧ C28 < F28, 4, If[B28 < E28 ∧ C28 > F28, 2, If[B28 > E28 ∧ C28 > F28, 1]]]], "") → D28
  46. If(n ≥ A29, If[B29 < E29 ∧ C29 < F29, 3, If[B29 > E29 ∧ C29 < F29, 4, If[B29 < E29 ∧ C29 > F29, 2, If[B29 > E29 ∧ C29 > F29, 1]]]], "") → D29
  47. If(n ≥ A30, If[B30 < E30 ∧ C30 < F30, 3, If[B30 > E30 ∧ C30 < F30, 4, If[B30 < E30 ∧ C30 > F30, 2, If[B30 > E30 ∧ C30 > F30, 1]]]], "") → D30
  48. If(n ≥ A31, If[B31 < E31 ∧ C31 < F31, 3, If[B31 > E31 ∧ C31 < F31, 4, If[B31 < E31 ∧ C31 > F31, 2, If[B31 > E31 ∧ C31 > F31, 1]]]], "") → D31
  49. If(n ≥ A32, If[B32 < E32 ∧ C32 < F32, 3, If[B32 > E32 ∧ C32 < F32, 4, If[B32 < E32 ∧ C32 > F32, 2, If[B32 > E32 ∧ C32 > F32, 1]]]], "") → D32
  50. If(n ≥ A33, If[B33 < E33 ∧ C33 < F33, 3, If[B33 > E33 ∧ C33 < F33, 4, If[B33 < E33 ∧ C33 > F33, 2, If[B33 > E33 ∧ C33 > F33, 1]]]], "") → D33
  51. If(n ≥ A34, If[B34 < E34 ∧ C34 < F34, 3, If[B34 > E34 ∧ C34 < F34, 4, If[B34 < E34 ∧ C34 > F34, 2, If[B34 > E34 ∧ C34 > F34, 1]]]], "") → D34
  52. If(n ≥ A35, If[B35 < E35 ∧ C35 < F35, 3, If[B35 > E35 ∧ C35 < F35, 4, If[B35 < E35 ∧ C35 > F35, 2, If[B35 > E35 ∧ C35 > F35, 1]]]], "") → D35
  53. If(n ≥ A36, If[B36 < E36 ∧ C36 < F36, 3, If[B36 > E36 ∧ C36 < F36, 4, If[B36 < E36 ∧ C36 > F36, 2, If[B36 > E36 ∧ C36 > F36, 1]]]], "") → D36
  54. If(n ≥ A37, If[B37 < E37 ∧ C37 < F37, 3, If[B37 > E37 ∧ C37 < F37, 4, If[B37 < E37 ∧ C37 > F37, 2, If[B37 > E37 ∧ C37 > F37, 1]]]], "") → D37
  55. If(n ≥ A38, If[B38 < E38 ∧ C38 < F38, 3, If[B38 > E38 ∧ C38 < F38, 4, If[B38 < E38 ∧ C38 > F38, 2, If[B38 > E38 ∧ C38 > F38, 1]]]], "") → D38
  56. If(n ≥ A39, If[B39 < E39 ∧ C39 < F39, 3, If[B39 > E39 ∧ C39 < F39, 4, If[B39 < E39 ∧ C39 > F39, 2, If[B39 > E39 ∧ C39 > F39, 1]]]], "") → D39
  57. If(n ≥ A40, If[B40 < E40 ∧ C40 < F40, 3, If[B40 > E40 ∧ C40 < F40, 4, If[B40 < E40 ∧ C40 > F40, 2, If[B40 > E40 ∧ C40 > F40, 1]]]], "") → D40
  58. If(n ≥ A41, If[B41 < E41 ∧ C41 < F41, 3, If[B41 > E41 ∧ C41 < F41, 4, If[B41 < E41 ∧ C41 > F41, 2, If[B41 > E41 ∧ C41 > F41, 1]]]], "") → D41
  59. If(n ≥ A42, If[B42 < E42 ∧ C42 < F42, 3, If[B42 > E42 ∧ C42 < F42, 4, If[B42 < E42 ∧ C42 > F42, 2, If[B42 > E42 ∧ C42 > F42, 1]]]], "") → D42
  60. If(n ≥ A43, If[B43 < E43 ∧ C43 < F43, 3, If[B43 > E43 ∧ C43 < F43, 4, If[B43 < E43 ∧ C43 > F43, 2, If[B43 > E43 ∧ C43 > F43, 1]]]], "") → D43
  61. If(n ≥ A44, If[B44 < E44 ∧ C44 < F44, 3, If[B44 > E44 ∧ C44 < F44, 4, If[B44 < E44 ∧ C44 > F44, 2, If[B44 > E44 ∧ C44 > F44, 1]]]], "") → D44
  62. If(n ≥ A45, If[B45 < E45 ∧ C45 < F45, 3, If[B45 > E45 ∧ C45 < F45, 4, If[B45 < E45 ∧ C45 > F45, 2, If[B45 > E45 ∧ C45 > F45, 1]]]], "") → D45
  63. If(n ≥ A46, If[B46 < E46 ∧ C46 < F46, 3, If[B46 > E46 ∧ C46 < F46, 4, If[B46 < E46 ∧ C46 > F46, 2, If[B46 > E46 ∧ C46 > F46, 1]]]], "") → D46
  64. If(n ≥ A47, If[B47 < E47 ∧ C47 < F47, 3, If[B47 > E47 ∧ C47 < F47, 4, If[B47 < E47 ∧ C47 > F47, 2, If[B47 > E47 ∧ C47 > F47, 1]]]], "") → D47
  65. If(n ≥ A48, If[B48 < E48 ∧ C48 < F48, 3, If[B48 > E48 ∧ C48 < F48, 4, If[B48 < E48 ∧ C48 > F48, 2, If[B48 > E48 ∧ C48 > F48, 1]]]], "") → D48
  66. If(n ≥ A49, If[B49 < E49 ∧ C49 < F49, 3, If[B49 > E49 ∧ C49 < F49, 4, If[B49 < E49 ∧ C49 > F49, 2, If[B49 > E49 ∧ C49 > F49, 1]]]], "") → D49
  67. If(n ≥ A50, If[B50 < E50 ∧ C50 < F50, 3, If[B50 > E50 ∧ C50 < F50, 4, If[B50 < E50 ∧ C50 > F50, 2, If[B50 > E50 ∧ C50 > F50, 1]]]], "") → D50
  68. If(n ≥ A51, If[B51 < E51 ∧ C51 < F51, 3, If[B51 > E51 ∧ C51 < F51, 4, If[B51 < E51 ∧ C51 > F51, 2, If[B51 > E51 ∧ C51 > F51, 1]]]], "") → D51
  69. If(n ≥ A52, If[B52 < E52 ∧ C52 < F52, 3, If[B52 > E52 ∧ C52 < F52, 4, If[B52 < E52 ∧ C52 > F52, 2, If[B52 > E52 ∧ C52 > F52, 1]]]], "") → D52
  70. If(n ≥ A53, If[B53 < E53 ∧ C53 < F53, 3, If[B53 > E53 ∧ C53 < F53, 4, If[B53 < E53 ∧ C53 > F53, 2, If[B53 > E53 ∧ C53 > F53, 1]]]], "") → D53
  71. If(n ≥ A54, If[B54 < E54 ∧ C54 < F54, 3, If[B54 > E54 ∧ C54 < F54, 4, If[B54 < E54 ∧ C54 > F54, 2, If[B54 > E54 ∧ C54 > F54, 1]]]], "") → D54
  72. If(n ≥ A55, If[B55 < E55 ∧ C55 < F55, 3, If[B55 > E55 ∧ C55 < F55, 4, If[B55 < E55 ∧ C55 > F55, 2, If[B55 > E55 ∧ C55 > F55, 1]]]], "") → D55
  73. If(n ≥ A56, If[B56 < E56 ∧ C56 < F56, 3, If[B56 > E56 ∧ C56 < F56, 4, If[B56 < E56 ∧ C56 > F56, 2, If[B56 > E56 ∧ C56 > F56, 1]]]], "") → D56
  74. If(n ≥ A57, If[B57 < E57 ∧ C57 < F57, 3, If[B57 > E57 ∧ C57 < F57, 4, If[B57 < E57 ∧ C57 > F57, 2, If[B57 > E57 ∧ C57 > F57, 1]]]], "") → D57
  75. If(n ≥ A58, If[B58 < E58 ∧ C58 < F58, 3, If[B58 > E58 ∧ C58 < F58, 4, If[B58 < E58 ∧ C58 > F58, 2, If[B58 > E58 ∧ C58 > F58, 1]]]], "") → D58
  76. If(n ≥ A59, If[B59 < E59 ∧ C59 < F59, 3, If[B59 > E59 ∧ C59 < F59, 4, If[B59 < E59 ∧ C59 > F59, 2, If[B59 > E59 ∧ C59 > F59, 1]]]], "") → D59
  77. If(n ≥ A60, If[B60 < E60 ∧ C60 < F60, 3, If[B60 > E60 ∧ C60 < F60, 4, If[B60 < E60 ∧ C60 > F60, 2, If[B60 > E60 ∧ C60 > F60, 1]]]], "") → D60
  78. If(n ≥ A61, If[B61 < E61 ∧ C61 < F61, 3, If[B61 > E61 ∧ C61 < F61, 4, If[B61 < E61 ∧ C61 > F61, 2, If[B61 > E61 ∧ C61 > F61, 1]]]], "") → D61
  79. If(n ≥ A62, If[B62 < E62 ∧ C62 < F62, 3, If[B62 > E62 ∧ C62 < F62, 4, If[B62 < E62 ∧ C62 > F62, 2, If[B62 > E62 ∧ C62 > F62, 1]]]], "") → D62
  80. If(n ≥ A63, If[B63 < E63 ∧ C63 < F63, 3, If[B63 > E63 ∧ C63 < F63, 4, If[B63 < E63 ∧ C63 > F63, 2, If[B63 > E63 ∧ C63 > F63, 1]]]], "") → D63
  81. If(n ≥ A64, If[B64 < E64 ∧ C64 < F64, 3, If[B64 > E64 ∧ C64 < F64, 4, If[B64 < E64 ∧ C64 > F64, 2, If[B64 > E64 ∧ C64 > F64, 1]]]], "") → D64
  82. If(n ≥ A65, If[B65 < E65 ∧ C65 < F65, 3, If[B65 > E65 ∧ C65 < F65, 4, If[B65 < E65 ∧ C65 > F65, 2, If[B65 > E65 ∧ C65 > F65, 1]]]], "") → D65
  83. If(n ≥ A66, If[B66 < E66 ∧ C66 < F66, 3, If[B66 > E66 ∧ C66 < F66, 4, If[B66 < E66 ∧ C66 > F66, 2, If[B66 > E66 ∧ C66 > F66, 1]]]], "") → D66
  84. If(n ≥ A67, If[B67 < E67 ∧ C67 < F67, 3, If[B67 > E67 ∧ C67 < F67, 4, If[B67 < E67 ∧ C67 > F67, 2, If[B67 > E67 ∧ C67 > F67, 1]]]], "") → D67
  85. If(n ≥ A68, If[B68 < E68 ∧ C68 < F68, 3, If[B68 > E68 ∧ C68 < F68, 4, If[B68 < E68 ∧ C68 > F68, 2, If[B68 > E68 ∧ C68 > F68, 1]]]], "") → D68
  86. If(n ≥ A69, If[B69 < E69 ∧ C69 < F69, 3, If[B69 > E69 ∧ C69 < F69, 4, If[B69 < E69 ∧ C69 > F69, 2, If[B69 > E69 ∧ C69 > F69, 1]]]], "") → D69
  87. If(n ≥ A70, If[B70 < E70 ∧ C70 < F70, 3, If[B70 > E70 ∧ C70 < F70, 4, If[B70 < E70 ∧ C70 > F70, 2, If[B70 > E70 ∧ C70 > F70, 1]]]], "") → D70
  88. If(n ≥ A71, If[B71 < E71 ∧ C71 < F71, 3, If[B71 > E71 ∧ C71 < F71, 4, If[B71 < E71 ∧ C71 > F71, 2, If[B71 > E71 ∧ C71 > F71, 1]]]], "") → D71
  89. If(n ≥ A72, If[B72 < E72 ∧ C72 < F72, 3, If[B72 > E72 ∧ C72 < F72, 4, If[B72 < E72 ∧ C72 > F72, 2, If[B72 > E72 ∧ C72 > F72, 1]]]], "") → D72
  90. If(n ≥ A73, If[B73 < E73 ∧ C73 < F73, 3, If[B73 > E73 ∧ C73 < F73, 4, If[B73 < E73 ∧ C73 > F73, 2, If[B73 > E73 ∧ C73 > F73, 1]]]], "") → D73
  91. If(n ≥ A74, If[B74 < E74 ∧ C74 < F74, 3, If[B74 > E74 ∧ C74 < F74, 4, If[B74 < E74 ∧ C74 > F74, 2, If[B74 > E74 ∧ C74 > F74, 1]]]], "") → D74
  92. If(n ≥ A75, If[B75 < E75 ∧ C75 < F75, 3, If[B75 > E75 ∧ C75 < F75, 4, If[B75 < E75 ∧ C75 > F75, 2, If[B75 > E75 ∧ C75 > F75, 1]]]], "") → D75
  93. If(n ≥ A76, If[B76 < E76 ∧ C76 < F76, 3, If[B76 > E76 ∧ C76 < F76, 4, If[B76 < E76 ∧ C76 > F76, 2, If[B76 > E76 ∧ C76 > F76, 1]]]], "") → D76
  94. If(n ≥ A77, If[B77 < E77 ∧ C77 < F77, 3, If[B77 > E77 ∧ C77 < F77, 4, If[B77 < E77 ∧ C77 > F77, 2, If[B77 > E77 ∧ C77 > F77, 1]]]], "") → D77
  95. If(n ≥ A78, If[B78 < E78 ∧ C78 < F78, 3, If[B78 > E78 ∧ C78 < F78, 4, If[B78 < E78 ∧ C78 > F78, 2, If[B78 > E78 ∧ C78 > F78, 1]]]], "") → D78
  96. If(n ≥ A79, If[B79 < E79 ∧ C79 < F79, 3, If[B79 > E79 ∧ C79 < F79, 4, If[B79 < E79 ∧ C79 > F79, 2, If[B79 > E79 ∧ C79 > F79, 1]]]], "") → D79
  97. If(n ≥ A80, If[B80 < E80 ∧ C80 < F80, 3, If[B80 > E80 ∧ C80 < F80, 4, If[B80 < E80 ∧ C80 > F80, 2, If[B80 > E80 ∧ C80 > F80, 1]]]], "") → D80
  98. If(n ≥ A81, If[B81 < E81 ∧ C81 < F81, 3, If[B81 > E81 ∧ C81 < F81, 4, If[B81 < E81 ∧ C81 > F81, 2, If[B81 > E81 ∧ C81 > F81, 1]]]], "") → D81
  99. If(n ≥ A82, If[B82 < E82 ∧ C82 < F82, 3, If[B82 > E82 ∧ C82 < F82, 4, If[B82 < E82 ∧ C82 > F82, 2, If[B82 > E82 ∧ C82 > F82, 1]]]], "") → D82
  100. If(n ≥ A83, If[B83 < E83 ∧ C83 < F83, 3, If[B83 > E83 ∧ C83 < F83, 4, If[B83 < E83 ∧ C83 > F83, 2, If[B83 > E83 ∧ C83 > F83, 1]]]], "") → D83
  101. If(n ≥ A84, If[B84 < E84 ∧ C84 < F84, 3, If[B84 > E84 ∧ C84 < F84, 4, If[B84 < E84 ∧ C84 > F84, 2, If[B84 > E84 ∧ C84 > F84, 1]]]], "") → D84
  102. If(n ≥ A85, If[B85 < E85 ∧ C85 < F85, 3, If[B85 > E85 ∧ C85 < F85, 4, If[B85 < E85 ∧ C85 > F85, 2, If[B85 > E85 ∧ C85 > F85, 1]]]], "") → D85
  103. If(n ≥ A86, If[B86 < E86 ∧ C86 < F86, 3, If[B86 > E86 ∧ C86 < F86, 4, If[B86 < E86 ∧ C86 > F86, 2, If[B86 > E86 ∧ C86 > F86, 1]]]], "") → D86
  104. If(n ≥ A87, If[B87 < E87 ∧ C87 < F87, 3, If[B87 > E87 ∧ C87 < F87, 4, If[B87 < E87 ∧ C87 > F87, 2, If[B87 > E87 ∧ C87 > F87, 1]]]], "") → D87
  105. If(n ≥ A88, If[B88 < E88 ∧ C88 < F88, 3, If[B88 > E88 ∧ C88 < F88, 4, If[B88 < E88 ∧ C88 > F88, 2, If[B88 > E88 ∧ C88 > F88, 1]]]], "") → D88
  106. If(n ≥ A89, If[B89 < E89 ∧ C89 < F89, 3, If[B89 > E89 ∧ C89 < F89, 4, If[B89 < E89 ∧ C89 > F89, 2, If[B89 > E89 ∧ C89 > F89, 1]]]], "") → D89
  107. If(n ≥ A90, If[B90 < E90 ∧ C90 < F90, 3, If[B90 > E90 ∧ C90 < F90, 4, If[B90 < E90 ∧ C90 > F90, 2, If[B90 > E90 ∧ C90 > F90, 1]]]], "") → D90
  108. If(n ≥ A91, If[B91 < E91 ∧ C91 < F91, 3, If[B91 > E91 ∧ C91 < F91, 4, If[B91 < E91 ∧ C91 > F91, 2, If[B91 > E91 ∧ C91 > F91, 1]]]], "") → D91
  109. If(n ≥ A92, If[B92 < E92 ∧ C92 < F92, 3, If[B92 > E92 ∧ C92 < F92, 4, If[B92 < E92 ∧ C92 > F92, 2, If[B92 > E92 ∧ C92 > F92, 1]]]], "") → D92
  110. If(n ≥ A93, If[B93 < E93 ∧ C93 < F93, 3, If[B93 > E93 ∧ C93 < F93, 4, If[B93 < E93 ∧ C93 > F93, 2, If[B93 > E93 ∧ C93 > F93, 1]]]], "") → D93
  111. If(n ≥ A94, If[B94 < E94 ∧ C94 < F94, 3, If[B94 > E94 ∧ C94 < F94, 4, If[B94 < E94 ∧ C94 > F94, 2, If[B94 > E94 ∧ C94 > F94, 1]]]], "") → D94
  112. If(n ≥ A95, If[B95 < E95 ∧ C95 < F95, 3, If[B95 > E95 ∧ C95 < F95, 4, If[B95 < E95 ∧ C95 > F95, 2, If[B95 > E95 ∧ C95 > F95, 1]]]], "") → D95
  113. If(n ≥ A96, If[B96 < E96 ∧ C96 < F96, 3, If[B96 > E96 ∧ C96 < F96, 4, If[B96 < E96 ∧ C96 > F96, 2, If[B96 > E96 ∧ C96 > F96, 1]]]], "") → D96
  114. If(n ≥ A97, If[B97 < E97 ∧ C97 < F97, 3, If[B97 > E97 ∧ C97 < F97, 4, If[B97 < E97 ∧ C97 > F97, 2, If[B97 > E97 ∧ C97 > F97, 1]]]], "") → D97
  115. If(n ≥ A98, If[B98 < E98 ∧ C98 < F98, 3, If[B98 > E98 ∧ C98 < F98, 4, If[B98 < E98 ∧ C98 > F98, 2, If[B98 > E98 ∧ C98 > F98, 1]]]], "") → D98
  116. If(n ≥ A99, If[B99 < E99 ∧ C99 < F99, 3, If[B99 > E99 ∧ C99 < F99, 4, If[B99 < E99 ∧ C99 > F99, 2, If[B99 > E99 ∧ C99 > F99, 1]]]], "") → D99
  117. If(n ≥ A100, If[B100 < E100 ∧ C100 < F100, 3, If[B100 > E100 ∧ C100 < F100, 4, If[B100 < E100 ∧ C100 > F100, 2, If[B100 > E100 ∧ C100 > F100, 1]]]], "") → D100
  118. If(n ≥ A101, If[B101 < E101 ∧ C101 < F101, 3, If[B101 > E101 ∧ C101 < F101, 4, If[B101 < E101 ∧ C101 > F101, 2, If[B101 > E101 ∧ C101 > F101, 1]]]], "") → D101
  119. If(n ≥ A102, If[B102 < E102 ∧ C102 < F102, 3, If[B102 > E102 ∧ C102 < F102, 4, If[B102 < E102 ∧ C102 > F102, 2, If[B102 > E102 ∧ C102 > F102, 1]]]], "") → D102
  120. If(n ≥ A103, If[B103 < E103 ∧ C103 < F103, 3, If[B103 > E103 ∧ C103 < F103, 4, If[B103 < E103 ∧ C103 > F103, 2, If[B103 > E103 ∧ C103 > F103, 1]]]], "") → D103
  121. If(n ≥ A104, If[B104 < E104 ∧ C104 < F104, 3, If[B104 > E104 ∧ C104 < F104, 4, If[B104 < E104 ∧ C104 > F104, 2, If[B104 > E104 ∧ C104 > F104, 1]]]], "") → D104
  122. If(n ≥ A105, If[B105 < E105 ∧ C105 < F105, 3, If[B105 > E105 ∧ C105 < F105, 4, If[B105 < E105 ∧ C105 > F105, 2, If[B105 > E105 ∧ C105 > F105, 1]]]], "") → D105
  123. If(n ≥ A106, If[B106 < E106 ∧ C106 < F106, 3, If[B106 > E106 ∧ C106 < F106, 4, If[B106 < E106 ∧ C106 > F106, 2, If[B106 > E106 ∧ C106 > F106, 1]]]], "") → D106
  124. If(n ≥ A107, If[B107 < E107 ∧ C107 < F107, 3, If[B107 > E107 ∧ C107 < F107, 4, If[B107 < E107 ∧ C107 > F107, 2, If[B107 > E107 ∧ C107 > F107, 1]]]], "") → D107
  125. If(n ≥ A108, If[B108 < E108 ∧ C108 < F108, 3, If[B108 > E108 ∧ C108 < F108, 4, If[B108 < E108 ∧ C108 > F108, 2, If[B108 > E108 ∧ C108 > F108, 1]]]], "") → D108

AI Drawing Prompt Reference

Draw a geometric figure containing multiple quadrilaterals and triangles, including squares, rectangles, trapezoids, and right triangles. Start by drawing a square, then construct other shapes using orthogonal lines and intersection points. Finally, use conditional statements to determine the type of each shape and display the results with a bar chart and frequency table.
The prompt above was compiled from the original drawing commands and is for reference only.