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Geogebra Probability Example

Geogebra Probability Example
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2015-11-10 04:19
Probability & StatisticsGeometric ConstructionGraphing
In collections CCSS Support Math II Unit 4
This example demonstrates drawing marbles from two bags and identifying all outcomes that meet specific conditions. It involves core concepts of Probability & Statistics, particularly combinations and event probability calculation. Construction uses commands like If, LaTeX, and objects such as Border, Gear, Book, P, Q, Striped0-3 for conditional logic, text, and graphics. Suitable for middle school and above for probability teaching and event analysis.

GeoGebra Commands & Parameters

  1. If(Black ≟ 1 ∧ White ≟ 1 ∧ Gray ≟ 1, LaTeX["\text{Simon draws \textcolor{#000099}{1} marble from each bag shown.He hopes to draw \textcolor{#000099}{1} black marble,\textcolor{#000099}{1} white marble and \textcolor{#000099}{1} gray marble.}"]) → Pg1A1
  2. LaTeX("\text{Simon draws \textcolor{#000099}{1} marble from each bag shown.He hopes to draw \textcolor{#000099}{1} black marble,\textcolor{#000099}{1} striped marble and \textcolor{#000099}{1} gray marble.}") → Pg1A2
  3. LaTeX("\text{Simon draws \textcolor{#000099}{1} marble from each bag shown.He hopes to draw \textcolor{#000099}{1} striped marble,\textcolor{#000099}{1} white marble and \textcolor{#000099}{1} gray marble.}") → Pg1A3
  4. LaTeX("\text{Simon draws \textcolor{#000099}{1} marble from each bag shown.He hopes to draw \textcolor{#000099}{1} black marble,\textcolor{#000099}{1} white marble and \textcolor{#000099}{1}striped marble.}") → Pg1A4
  5. LaTeX("\text{Identify the outcomes that represent this event.}") → Pg1B
  6. LaTeX("\text{Identify the sample space.}") → Pg2A
  7. LaTeX("\text{Use a tree diagram to identify the sample space.}") → Pg2B
  8. LaTeX("\text{In the far left column of the diagram,list each marble possibility for the first bag:striped or black.In the}") → Pg2C
  9. LaTeX("\text{marble possibility for the third bag:striped or gray.Connect the branches as shown in the following diagram.}") → Pg2E
  10. LaTeX("\text{The sample space is all the possible outcomes.This can be determined by reading across each branch.}") → Pg3A
  11. LaTeX("\text{The possible outcomes are:}") → Pg3B
  12. LaTeX("\text{striped,white,striped}") → Pg3C1
  13. LaTeX("\text{black,white,striped}") → Pg3C2
  14. LaTeX("\text{striped,white,gray}") → Pg2D2
  15. LaTeX("\text{black,white,gray}") → Pg2D1
  16. LaTeX("\text{striped,striped,striped}") → Pg3D1
  17. LaTeX("\text{black,striped,striped}") → Pg3D2
  18. LaTeX("\text{striped,striped,gray}") → Pg3E2
  19. LaTeX("\text{black,striped,gray}") → Pg3E1
  20. LaTeX("\text{Identify all the outcomes in the event “drawing \textcolor{#000099}{1} gray marble and \textcolor{#000099}{2} striped marbles”.}") → Pg4A1
  21. LaTeX("\text{Identify all the outcomes in the event “drawing \textcolor{#000099}{1} gray marble,\textcolor{#000099}{1} white marble and \textcolor{#000099}{1} striped marbles”.}") → Pg4A4
  22. LaTeX("\text{Identify all the outcomes in the event “drawing \textcolor{#000099}{1} black marble and \textcolor{#000099}{2} striped marbles”.}") → Pg4A6
  23. LaTeX("\text{Identify all the outcomes in the event “drawing \textcolor{#000099}{1} white marble and \textcolor{#000099}{2} striped marbles”.}") → Pg4A7
  24. LaTeX("\text{Identify all the outcomes in the event “drawing \textcolor{#000099}{3} striped marbles”.}") → Pg4A8
  25. LaTeX("\text{The word “and” means the outcome must include \textcolor{#000099}{1} black marble and \textcolor{#000099}{2} striped marbles.}") → Pg4B6
  26. LaTeX("\text{The word “and” means the outcome must include \textcolor{#000099}{1} white marble and \textcolor{#000099}{2} striped marbles.}") → Pg4B7
  27. LaTeX("\text{It can be seen from the list of possible outcomes that there is only \textcolor{#000099}{1} outcome for which this is}") → Pg4B8
  28. If((Black ≠ 0) ∨ (White ≠ 0) ∨ (Gray ≠ 0), LaTeX["\text{It can be seen from the list of possible outcomes that there is only \textcolor{#000099}{1} outcome for which this is}"]) → Pg4C
  29. LaTeX("\text{possible:black,striped,striped.}") → Pg4D6
  30. LaTeX("\text{possible:striped,striped,striped.}") → Pg4D8
  31. LaTeX("\text{possible:black,white,gray.}") → Pg4D2
  32. LaTeX("\text{possible:striped,striped,gray.}") → Pg4D1
  33. LaTeX("\text{possible:striped,striped,white.}") → Pg4D7
  34. LaTeX("\text{possible:black,striped,gray.}") → Pg4D3
  35. LaTeX("\text{possible:striped,white,gray.}") → Pg4D4
  36. LaTeX("\text{possible:black,white,striped.}") → Pg4D5
  37. LaTeX((("\text{Black marble=" * Black) * "}")) → DKTblack
  38. LaTeX((("\text{White marble=" * White) * "}")) → DKTWhite
  39. LaTeX((("\text{Gray marble=" * Gray) * "}")) → DKTGray
  40. LaTeX((("\text{Striped marble=" * Total) * "}")) → DKTStriped
  41. LaTeX("\text{next column,list each marble possibility for the second bag:white or striped.In the next column,list each}") → Pg2D
  42. LaTeX("\text{that indicates how likely an event is to occur.}") → DKT2
  43. LaTeX("\text{Simon draws \textcolor{#000099}{1} marble from each bag shown.He hopes to draw \textcolor{#000099}{1} gray marble and \textcolor{#000099}{2} striped marbles.}") → Pg1A6
  44. LaTeX("\text{\mathbf{Probability} a number from \textcolor{#000099}0 to \textcolor{#000099}1 inclusive or a percent from \textcolor{#000099}{0%} to \textcolor{#000099}{100%} inclusive}") → WTK1
  45. LaTeX("\text{Simon draws \textcolor{#000099}{1} marble from each bag shown.He hopes to draw \textcolor{#000099}{1} black marble and \textcolor{#000099}{2} striped marbles.}") → Pg1A5
  46. LaTeX("\text{Simon draws \textcolor{#000099}{1} marble from each bag shown.He hopes to draw \textcolor{#000099}{1} white marble and \textcolor{#000099}{2} striped marbles.}") → Pg1A7
  47. LaTeX("\text{Simon draws \textcolor{#000099}{1} marble from each bag shown.He hopes to draw \textcolor{#000099}{3} striped marbles.}") → Pg1A8
  48. LaTeX("\text{The word “and” means the outcome must include \textcolor{#000099}{1} black marble,\textcolor{#000099}{1} white marble and \textcolor{#000099}{1} striped marble.}") → Pg4B5
  49. LaTeX("\text{The word “and” means the outcome must include \textcolor{#000099}{1} gray marble,\textcolor{#000099}{1} white marble and \textcolor{#000099}{1} striped marble.}") → Pg4B4
  50. LaTeX("\text{The word “and” means the outcome must include \textcolor{#000099}{1} gray marble,\textcolor{#000099}{1} black marble and \textcolor{#000099}{1} striped marble.}") → Pg4B3
  51. LaTeX("\text{The word “and” means the outcome must include \textcolor{#000099}{1} gray marble,\textcolor{#000099}{1} black marble and \textcolor{#000099}{1} white marble.}") → Pg4B2
  52. LaTeX("\text{Identify all the outcomes in the event “drawing \textcolor{#000099}{1} black marble,\textcolor{#000099}{1} white marble and \textcolor{#000099}{1} striped marble”.}") → Pg4A5
  53. LaTeX("\text{Identify all the outcomes in the event “drawing \textcolor{#000099}{1} gray marble,\textcolor{#000099}{1} striped marble and \textcolor{#000099}{1} black marble”.}") → Pg4A3
  54. LaTeX("\text{Identify all the outcomes in the event “drawing \textcolor{#000099}{1} gray marble,\textcolor{#000099}{1} white marble and \textcolor{#000099}{1} black marble”.}") → Pg4A2
  55. LaTeX("\text{The word “and” means the outcome must include \textcolor{#000099}{1} gray marble and \textcolor{#000099}{2} striped marbles.}") → Pg4B1

AI Drawing Prompt Reference

Draw two bags, each containing balls of different colors, including black, white, gray, and striped balls. Simulate Simon drawing one ball from each bag, hoping to draw 1 black ball, 1 white ball, and 1 gray ball. Describe this event with text and list all possible outcomes. Then, draw a tree diagram to represent all possible outcomes, including each ball's possible combinations. Finally, identify all outcomes that include 1 gray ball and 2 striped balls.
The prompt above was compiled from the original drawing commands and is for reference only.