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Probability: Selecting Balls by Elisabeth Bade

Probability: Selecting Balls by Elisabeth Bade
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2019-03-05 19:53
SequenceProbability & Statistics
This example demonstrates the probability of selecting balls. Key mathematical concepts include probability and statistics. Using GeoGebra commands such as Sequence, Shuffle, and If, the process of randomly selecting balls is constructed. Suitable for middle school and above students to learn about probability and statistics.

GeoGebra Commands & Parameters

  1. Sequence(Circle[Element[Centre00, i], BallRadius], i, 2, NoB + 1) → BallBlueList01
  2. Sequence(Circle[Element[Centre00, i], BallRadius], i, NoB + 2, nb + 1) → BallRedList01
  3. Sequence(i, i, 2, NoB + 1) → BlueList
  4. Sequence(i, i, NoB + 2, nb + 1) → RedList
  5. Shuffle(BlueList) → BlueRandomList
  6. Shuffle(RedList) → RedRandomList
  7. Sequence(If[Element[SelectedColourNoList, i] ≟ 1, Element[BlueRandomList, i], Element[RedRandomList, i]], i, 1, NoS) → SelectNoList
  8. Sequence(Circle[Element[Centre001, i], BallRadiusSmall], i, 2, NoB + 1) → BallBlueList001
  9. Sequence(Circle[Element[Centre001, i], BallRadiusSmall], i, NoB + 2, nb + 1) → BallRedList001
  10. Sequence(Element[Centre00, Element[SelectNoList, i]], i, 1, NoS) → MoveStart
  11. If(a < 5, Element[MoveStart, 1], If[a > 15, C01, (FindCor(a, 5, 15, x(Element[MoveStart, 1]), x(C01)), FindCor(a, 5, 15, y(Element[MoveStart, 1]), y(C01)))]) → C01Move
  12. If(a < 25, Element[MoveStart, 2], If[a > 35, C02, (FindCor(a, 25, 35, x(Element[MoveStart, 2]), x(C02)), FindCor(a, 25, 35, y(Element[MoveStart, 2]), y(C02)))]) → C02Move
  13. If(a < 45, Element[MoveStart, 3], If[a > 55, C03, (FindCor(a, 45, 55, x(Element[MoveStart, 3]), x(C03)), FindCor(a, 45, 55, y(Element[MoveStart, 3]), y(C03)))]) → C03Move
  14. If(a < 65, Element[MoveStart, 4], If[a > 75, C04, (FindCor(a, 65, 75, x(Element[MoveStart, 4]), x(C04)), FindCor(a, 65, 75, y(Element[MoveStart, 4]), y(C04)))]) → C04Move
  15. Sequence(If[Element[SelectedColourNoList, i] ≟ 1, Circle[Element[MoveCentre, i], BallRadius]], i, 1, NoS) → BallBlueSelectedList
  16. Sequence(If[Element[SelectedColourNoList, i] ≟ 2, Circle[Element[MoveCentre, i], BallRadius]], i, 1, NoS) → BallRedSelectedList
  17. Sequence(Circle[Element[MoveStart, i], (Lfactor * BallRadius)], i, 1, NoS) → WhiteCircleList
  18. If(Ball01 ≟ 1, NoOfBlue00 - 1, NoOfBlue00) → NoOfBlue01
  19. If(Ball02 ≟ 1, NoOfBlue01 - 1, NoOfBlue01) → NoOfBlue02
  20. If(Ball03 ≟ 1, NoOfBlue02 - 1, NoOfBlue02) → NoOfBlue03
  21. If(Ball04 ≟ 1, NoOfBlue03 - 1, NoOfBlue03) → NoOfBlue04
  22. If(Ball01 ≟ 2, NoOfRed00 - 1, NoOfRed00) → NoOfRed01
  23. If(Ball02 ≟ 2, NoOfRed01 - 1, NoOfRed01) → NoOfRed02
  24. If(Ball03 ≟ 2, NoOfRed02 - 1, NoOfRed02) → NoOfRed03
  25. If(Ball04 ≟ 2, NoOfRed03 - 1, NoOfRed03) → NoOfRed04
  26. Sequence(If[Element[SelectedColourNoList, i] ≟ 1, Element[NoOfBlue, i], Element[NoOfRed, i]], i, 1, NoS + 1) → NoOfBallNumerator
  27. Point(d) → Z06
  28. Point(c) → Z05
  29. Segment(Z05, Y05) → m
  30. Segment(Z06, Y06) → k
  31. Point(d) → Z07
  32. Point(d) → Z08
  33. Point(d) → Z09
  34. Segment(Z07, Y07) → n
  35. Segment(Z08, Y08) → p
  36. Segment(Z09, Y09) → q

AI Drawing Prompt Reference

Draw a bag containing blue and red balls, and randomly select and record the balls. First, draw circles representing the blue and red balls, then shuffle their order, and move the balls according to the selection sequence. Finally, update the remaining ball counts based on the selection and draw line segments in the coordinate system to represent the selection process.
The prompt above was compiled from the original drawing commands and is for reference only.