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De Méré's Problem Simulation

De Méré's Problem Simulation
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2016-06-08 22:10
Probability & StatisticsSlider AnimationGraphing
In collections Statistics Simulations Statistics Simulations
This example demonstrates De Méré's problem, involving core concepts of probability and statistics. Through random simulation, users can observe and understand probability distributions. It uses commands like Random, If, Sum, and DotPlot, suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. Random(1, 6) → A1
  2. Random(1, 6) → B1
  3. Random(1, 6) → A2
  4. Random(1, 6) → B2
  5. Random(1, 6) → A3
  6. Random(1, 6) → B3
  7. Random(1, 6) → A4
  8. Random(1, 6) → B4
  9. Random(1, 6) → A5
  10. Random(1, 6) → B5
  11. Random(1, 6) → A6
  12. Random(1, 6) → B6
  13. Random(1, 6) → A7
  14. Random(1, 6) → B7
  15. Random(1, 6) → A8
  16. Random(1, 6) → B8
  17. Random(1, 6) → A9
  18. Random(1, 6) → B9
  19. Random(1, 6) → A10
  20. Random(1, 6) → B10
  21. Random(1, 6) → A11
  22. Random(1, 6) → B11
  23. Random(1, 6) → A12
  24. Random(1, 6) → B12
  25. Random(1, 6) → A13
  26. Random(1, 6) → B13
  27. Random(1, 6) → A14
  28. Random(1, 6) → B14
  29. Random(1, 6) → A15
  30. Random(1, 6) → B15
  31. Random(1, 6) → A16
  32. Random(1, 6) → B16
  33. Random(1, 6) → A17
  34. Random(1, 6) → B17
  35. Random(1, 6) → A18
  36. Random(1, 6) → B18
  37. Random(1, 6) → A19
  38. Random(1, 6) → B19
  39. Random(1, 6) → A20
  40. Random(1, 6) → B20
  41. Random(1, 6) → A21
  42. Random(1, 6) → B21
  43. Random(1, 6) → A22
  44. Random(1, 6) → B22
  45. Random(1, 6) → A23
  46. Random(1, 6) → B23
  47. Random(1, 6) → A24
  48. Random(1, 6) → B24
  49. If(A1 ≟ 6 ∧ B1 ≟ 6, 1, 0) → C1
  50. If(A2 ≟ 6 ∧ B2 ≟ 6, 1, 0) → C2
  51. If(A3 ≟ 6 ∧ B3 ≟ 6, 1, 0) → C3
  52. If(A4 ≟ 6 ∧ B4 ≟ 6, 1, 0) → C4
  53. If(A5 ≟ 6 ∧ B5 ≟ 6, 1, 0) → C5
  54. If(A6 ≟ 6 ∧ B6 ≟ 6, 1, 0) → C6
  55. If(A7 ≟ 6 ∧ B7 ≟ 6, 1, 0) → C7
  56. If(A8 ≟ 6 ∧ B8 ≟ 6, 1, 0) → C8
  57. If(A9 ≟ 6 ∧ B9 ≟ 6, 1, 0) → C9
  58. If(A10 ≟ 6 ∧ B10 ≟ 6, 1, 0) → C10
  59. If(A11 ≟ 6 ∧ B11 ≟ 6, 1, 0) → C11
  60. If(A12 ≟ 6 ∧ B12 ≟ 6, 1, 0) → C12
  61. If(A13 ≟ 6 ∧ B13 ≟ 6, 1, 0) → C13
  62. If(A14 ≟ 6 ∧ B14 ≟ 6, 1, 0) → C14
  63. If(A15 ≟ 6 ∧ B15 ≟ 6, 1, 0) → C15
  64. If(A16 ≟ 6 ∧ B16 ≟ 6, 1, 0) → C16
  65. If(A17 ≟ 6 ∧ B17 ≟ 6, 1, 0) → C17
  66. If(A18 ≟ 6 ∧ B18 ≟ 6, 1, 0) → C18
  67. If(A19 ≟ 6 ∧ B19 ≟ 6, 1, 0) → C19
  68. If(A20 ≟ 6 ∧ B20 ≟ 6, 1, 0) → C20
  69. If(A21 ≟ 6 ∧ B21 ≟ 6, 1, 0) → C21
  70. If(A22 ≟ 6 ∧ B22 ≟ 6, 1, 0) → C22
  71. If(A23 ≟ 6 ∧ B23 ≟ 6, 1, 0) → C23
  72. If(A24 ≟ 6 ∧ B24 ≟ 6, 1, 0) → C24
  73. Sum(C1:C24) → D1
  74. Random(1, 6) → E1
  75. Random(1, 6) → E2
  76. Random(1, 6) → E3
  77. Random(1, 6) → E4
  78. If(E1 ≟ 6, 1, 0) → F1
  79. If(E2 ≟ 6, 1, 0) → F2
  80. If(E3 ≟ 6, 1, 0) → F3
  81. If(E4 ≟ 6, 1, 0) → F4
  82. Sum(F1:F4) → G1
  83. DotPlot(doubles, false, 0.15) → list1
  84. DotPlot(singles, false, 0.15) → list2

AI Drawing Prompt Reference

Create a simulation of De Méré's problem. Show 24 pairs of dice rolls, each pair represented by two adjacent dots with values from 1 to 6, arranged in a grid. Below, display a dot plot of the sum of each pair (ranging from 2 to 12) with frequency on the vertical axis. Include a slider to adjust the number of trials, and highlight the proportion of rolls where at least one die shows a 6. The layout should be clean and educational, emphasizing the probability distribution.
The prompt above was compiled from the original drawing commands and is for reference only.