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Coins in a Row

Coins in a Row
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2018-11-14 06:34
IntegralProbability & Statistics
In collections GeoGebra day at MoMath
This example demonstrates the mathematical phenomena of median line, isosceles triangles, indefinite integral, probability, and expected value in coin arrangements. It involves core concepts like median line, isosceles triangles, indefinite integral, probability, and expected value. The construction utilizes GeoGebra commands and objects such as Circle, Vector, Translate, etc. It is suitable for high school students and mathematicians/researchers.

GeoGebra Commands & Parameters

  1. Circle(A, 0.8) → c_1
  2. Circle(B, 0.8) → c_2
  3. Circle(C, 0.8) → c_3
  4. Circle(D, 0.8) → c_4
  5. Circle(E, 0.8) → c_5
  6. Circle(F, 0.8) → c_6
  7. Circle(G, 0.8) → c_7
  8. Circle(H, 0.8) → c_8
  9. Circle(I, 0.8) → c_9
  10. Circle(J, 0.8) → c_{10}
  11. Vector(M_1, M_2) → u
  12. Translate(M_2, u) → M_3
  13. Translate(M_3, u) → M_4
  14. Translate(M_4, u) → M_5
  15. Translate(M_5, u) → M_6
  16. Translate(M_6, u) → M_7
  17. Translate(M_7, u) → M_8
  18. Translate(M_8, u) → M_9
  19. Translate(M_9, u) → M_{10}
  20. Sample({M_1, M_2, M_3, M_4, M_5, M_6, M_7, M_8, M_9, M_{10}}, 10, false) → List1, {(11, 1), (3, 1), (5, 1), (-3, 1), (7, 1), (15, 1), (1, 1), (13, 1), (-1, 1), (9, 1)}
  21. Circle(A, 0.98) → w_1
  22. Circle(B, 0.98) → w_2
  23. Circle(C, 0.98) → w_3
  24. Circle(D, 0.98) → w_4
  25. Circle(E, 0.98) → w_5
  26. Circle(F, 0.98) → w_6
  27. Circle(G, 0.98) → w_7
  28. Circle(H, 0.98) → w_8
  29. Circle(I, 0.98) → w_9
  30. Circle(J, 0.98) → w_{10}