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Dice Roll Distribution

Dice Roll Distribution
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2016-06-09 02:13
Probability & StatisticsGeometric ConstructionGraphing
In collections Probability & Intro. to Stat.
This example demonstrates the distribution of sums when rolling two dice multiple times. Key mathematical concepts include probability and frequency analysis. Construction involves GeoGebra commands like Polygon, Point, and Polyline to create the distribution chart. Suitable for middle school students learning probability and data visualization.

GeoGebra Commands & Parameters

  1. Polygon(A, M, N, B) → poly1, a, m, n, b
  2. Polygon(O, P, C, B) → poly2, o, p, c_1, b_1
  3. Polygon(Q, R, D, C) → poly3, q, r, d, c_2
  4. Polygon(S, T, E, D) → poly4, s, t, e, d_1
  5. Polygon(U, V, F, E) → poly5, u, v, f, e_1
  6. Polygon(W, X, G, F) → poly6, w, A_1, g, f_1
  7. Polygon(Y, Z, H, G) → poly7, B_1, z, h, g_1
  8. Polygon(A1, B1, I, H) → poly8, a1, b1, i, h_1
  9. Polygon(C1, D1, J, I) → poly9, c1, d1, j, i_1
  10. Polygon(E1, J, K, F1) → poly10, e1, j_1, k, f1
  11. Polygon(K, G1, H1, L) → poly11, k_1, g1, h1, l
  12. Polygon(K_1, G1_1, H1_1, L_1) → poly11_1, k_2, g1_1, h1_1, l_1
  13. Polygon(I1, J1, B, A) → poly12, i1, j1, b_2, a_1
  14. Point(b_2) → C_1
  15. Polygon(K1, L1, C, C_1) → poly13, k1, l1, c_3, c_4
  16. Polygon(M1, N1, D, C) → poly14, m1, n1, d_2, c_5
  17. Point(d_2) → D_1
  18. Polygon(O1, P1, E, D_1) → poly15, o1, p1, e_2, d_3
  19. Point(e_2) → E_1
  20. Polygon(Q1, E_1, F, R1) → poly16, q1, e_3, f_2, r1
  21. Point(f_2) → F_1
  22. Polygon(S1, F_1, G, T1) → poly17, s1, f_3, g_2, t1
  23. Point(g_2) → G_1
  24. Polygon(U1, V1, H, G_1) → poly18, u1, v1, h_{10}, g_3
  25. Point(h_{10}) → H_1
  26. Polygon(H_1, I, X1, W1) → poly19, h_{11}, i_2, x1, w1
  27. Point(i_2) → I_1
  28. Polygon(Y1, Z1, J, I_1) → poly20, y1, z1, j_2, i_3
  29. Point(j_2) → J_1
  30. Polygon(A2, B2, K, J_1) → poly21, a2, b2, k_3, j_3
  31. Point(k_3) → M_1
  32. Polygon(C2, D2, L, M_1) → poly22, c2, d2, l_2, m_1

AI Drawing Prompt Reference

Create a graph showing the distribution of sums when rolling two dice multiple times, using polygons and polylines to represent frequency. Start with the possible sums from rolling two dice (2 to 12), each sum represented by different shapes with sizes indicating frequency, connected by lines to form a distribution chart, suitable for demonstrating probability and data analysis concepts.
The prompt above was compiled from the original drawing commands and is for reference only.