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Probability and Tree Diagram by Ole

Probability and Tree Diagram by Ole
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2016-04-29 18:04
SequenceProbability & StatisticsGeometric Construction
This example demonstrates the concept of probability and tree diagrams. It covers the basic principles of probability and uses tree diagrams to illustrate the probability distribution of different events. The construction involves commands such as Sequence, Center, If, Point, and Segment in GeoGebra. Suitable for students at the junior high school level and above for learning probability and statistics.

GeoGebra Commands & Parameters

  1. Sequence(Circle[Element[Centre01, i], BallRadius], i, 2, NoB + 1) → BallBlueList01
  2. Center(Element[BallBlueList01, 1]) → AA
  3. Sequence(Circle[Element[Centre11, i], BallRadius], i, 2, NoB) → BallBlueList11
  4. Sequence(Circle[Element[Centre12, i], BallRadius], i, 2, NoB + 1) → BallBlueList12
  5. Sequence(Circle[Element[Centre21, i], BallRadius], i, 2, NoB - 1) → BallBlueList21
  6. Sequence(Circle[Element[Centre22, i], BallRadius], i, 2, NoB) → BallBlueList22
  7. Sequence(Circle[Element[Centre24, i], BallRadius], i, 2, NoB + 1) → BallBlueList24
  8. Sequence(Circle[Element[Centre23, i], BallRadius], i, 2, NoB) → BallBlueList23
  9. Sequence(If[step ≤ 10, (FindCor(step, 0, 10, x(Element[Tree01Point, i]), x(Element[Tree02Point, i])), FindCor(step, 0, 10, y(Element[Tree01Point, i]), y(Element[Tree02Point, i]))), Element[Tree02Point, i]], i, 1, 2) → Tree02MovingPoint
  10. Sequence(Segment[Element[Tree01Point, i], Element[Tree02MovingPoint, i]], i, 1, 2) → TreeLine01
  11. Sequence(If[step < 35, Element[Tree03Point, i], If[step > 45, Element[Tree04Point, i], (FindCor(step, 35, 45, x(Element[Tree03Point, i]), x(Element[Tree04Point, i])), FindCor(step, 35, 45, y(Element[Tree03Point, i]), y(Element[Tree04Point, i])))]], i, 1, 4) → Tree04MovingPoint
  12. Sequence(Segment[Element[Tree03Point, i], Element[Tree04MovingPoint, i]], i, 1, 4) → TreeLine02
  13. If(step < 20, Element[Centre11, NoB + 1], If[step > 30, C11a, (FindCor(step, 20, 30, x(Element[Centre11, NoB + 1]), x(C11a)), FindCor(step, 20, 30, y(Element[Centre11, NoB + 1]), y(C11a)))]) → C11aMove
  14. If(step < 20, Element[Centre12, NoB + 2], If[step > 30, C12a, (FindCor(step, 20, 30, x(Element[Centre12, NoB + 2]), x(C11a)), FindCor(step, 20, 30, y(Element[Centre12, NoB + 2]), y(C12a)))]) → C12aMove
  15. If(step < 50, Element[Centre21, NoB], If[step > 60, C21b, (FindCor(step, 50, 60, x(Element[Centre21, NoB]), x(C21b)), FindCor(step, 50, 60, y(Element[Centre21, NoB]), y(C21b)))]) → C21bMove
  16. If(step < 50, Element[Centre23, NoB + 1], If[step > 60, C23b, (FindCor(step, 50, 60, x(Element[Centre23, NoB + 1]), x(C23b)), FindCor(step, 50, 60, y(Element[Centre23, NoB + 1]), y(C23b)))]) → C23bMove
  17. If(step < 50, Element[Centre24, NoB + 3], If[step > 60, C24b, (FindCor(step, 50, 60, x(Element[Centre24, NoB + 3]), x(C24b)), FindCor(step, 50, 60, y(Element[Centre24, NoB + 3]), y(C24b)))]) → C24bMove
  18. If(step < 50, Element[Centre22, nb + 1], If[step > 60, C22b, (FindCor(step, 50, 60, x(Element[Centre22, nb + 1]), x(C22b)), FindCor(step, 50, 60, y(Element[Centre22, nb + 1]), y(C22b)))]) → C22bMove
  19. Sequence(Circle[Element[BlueSelectedMovingCentreList, i], BallRadius], i, 1, 1) → BallBlueSelectedList01
  20. Sequence(Circle[Element[RedSelectedMovingCentreList, i], BallRadius], i, 2, 5) → BallRedSelectedList02
  21. Sequence(Circle[Element[RedSelectedMovingCentreList, i], BallRadius], i, 1, 1) → BallRedSelectedList01
  22. Sequence(Circle[Element[BlueSelectedMovingCentreList, i], BallRadius], i, 2, 5) → BallBlueSelectedList02
  23. Sequence(Circle[Element[Centre01, i], BallRadius], i, NoB + 2, nb + 1) → BallRedList01
  24. Sequence(Circle[Element[Centre11, i], BallRadius], i, NoB + 2, nb + 1) → BallRedList11
  25. Sequence(Circle[Element[Centre12, i], BallRadius], i, NoB + 3, nb + 1) → BallRedList12
  26. Sequence(Circle[Element[Centre22, i], BallRadius], i, NoB + 2, nb) → BallRedList22
  27. Sequence(Circle[Element[Centre23, i], BallRadius], i, NoB + 3, nb + 1) → BallRedList23
  28. Sequence(Circle[Element[Centre24, i], BallRadius], i, NoB + 4, nb + 1) → BallRedList24
  29. Sequence(Circle[Element[Centre21, i], BallRadius], i, NoB + 2, nb + 1) → BallRedList21
  30. Point(tempL11) → Z17
  31. Segment(Z17, Z08) → i

AI Drawing Prompt Reference

Draw an example of probability and tree diagrams to illustrate basic probability principles. Include multiple blue and red balls distributed around various center points in a sequential manner, forming multiple levels. The tree diagram part has two branches showing the probability distribution of events, with moving points and connecting lines, some points changing positions based on steps. The overall construction starts from the basic ball distribution and moves to the dynamic changes in the tree diagram.
The prompt above was compiled from the original drawing commands and is for reference only.