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Rolling a Number Cube Simulation

Rolling a Number Cube Simulation
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2016-04-24 01:19
FunctionProbability & StatisticsGraphing
This is a simulation of rolling a fair number cube, allowing students to compare relative frequencies for small and large numbers of trials. Key mathematical concepts include probability and statistics. Using GeoGebra commands such as Frequency and BarChart, the distribution can be visually demonstrated. Suitable for middle school and above students for probability and statistics learning.

GeoGebra Commands & Parameters

  1. Frequency({2, 2}, dlist) → Twos
  2. Element(Twos, 1) → NumTwos
  3. Frequency({1, 1}, dlist) → Ones
  4. Element(Ones, 1) → NumOnes
  5. Unique(dlist) → list1
  6. Frequency(dlist) → dfreq
  7. If(dlist ≟ {}, 0.1, Sum[dfreq]) → sum
  8. Random(0, Marbles - 1) → Red1
  9. Random(0, Marbles - Red1) → Blue2
  10. Random(0, Marbles - Blue2 - Red1) → Yellow3
  11. Random(0, Marbles - Yellow3 - Blue2 - Red1) → Black4
  12. Random(0, Marbles - Black4 - Yellow3 - Blue2 - Red1) → White5
  13. BarChart(dlist, 0.8) → b
  14. Append(row1, "TOTAL") → row1a
  15. Append(row2, sum) → row2a
  16. TableText({row1a, row2a}, "c_") → text2
  17. Random(0, Marbles - 1) → a
  18. Random(0, Marbles - 1) → c
  19. Random(0, Marbles - 1) → d
  20. Random(0, Marbles - 1) → e
  21. Random(0, Marbles - 1) → f
  22. Random(0, Marbles - 1) → g
  23. Random(0, Marbles - 1) → h
  24. Random(0, Marbles - 1) → i
  25. Random(0, Marbles - 1) → j
  26. Random(0, Marbles - 1) → k
  27. TableText({row0, row1, row2, row3, row4, row5, row6}, "c_") → Answers
  28. RandomDiscrete({1, 2, 3, 4, 5, 6}, {1 / 6, 1 / 6, 1 / 6, 1 / 6, 1 / 6, 1 / 6}) → Outcome1
  29. Frequency({3, 3}, dlist) → Threes
  30. Frequency({4, 4}, dlist) → Fours
  31. Frequency({5, 5}, dlist) → Fives
  32. Frequency({6, 6}, dlist) → Sixes
  33. Element(Threes, 1) → NumThrees
  34. Element(Fours, 1) → NumFours
  35. Element(Fives, 1) → NumFives
  36. Element(Sixes, 1) → NumSixes
  37. Text(NumOnes) → text13
  38. Text(NumTwos) → text14
  39. Text(NumThrees) → text15
  40. Text(NumFours) → text16
  41. Text(NumFives) → text17
  42. Text(NumSixes) → text18
  43. Text(FreqOne) → text19
  44. Text(FreqTwo) → text20
  45. Text(FreqThree) → text21
  46. Text(FreqFour) → text22
  47. Text(FreqFive) → text23
  48. Text(FreqSix) → text24
  49. Text(("Total = " * sum)) → text27

AI Drawing Prompt Reference

Create a statistical chart simulating a dice roll, showing the frequency of each number from 1 to 6. Use a bar chart to represent the relative frequency of each number, and add a table displaying the total count for each number and the total number of trials. The chart should clearly illustrate probability and statistics concepts, suitable for educational demonstration.
The prompt above was compiled from the original drawing commands and is for reference only.