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Dice Probability Practice

Dice Probability Practice
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2025-05-14 20:04
In collections Laplace-Wahrscheinlichkeit
This example demonstrates probability practice through dice rolling. The core mathematical concepts involved are the probability of single-step random experiments. Using GeoGebra commands such as Join, Element, Textfield, etc., interactive practice questions are constructed. Suitable for 7-8 grade students for learning and practice.

GeoGebra Commands & Parameters

  1. Join({{2}, Shuffle[Remove[1…numberOfQuestions, {2}]]}) → randomQuestions
  2. Element(randomQuestions, Mod[questionCount - 1, Length[randomQuestions]] + 1) → randomQuestion
  3. Textfield(input) → inputBox
  4. Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, 0, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, 0, RasterMaxY / RasterStepXY]}) → RasterStrecken
  5. Join({Sequence[Text[UnicodeToLetter[65 + k], Midpoint[Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY)), Corner[4] + (RasterPixMat * (((k + 1) * RasterStepXY), RasterMaxY))], false, true, 0, -1], k, 0, RasterMaxX / RasterStepXY - 1], Sequence[Text[("" * k), Midpoint[Corner[4] + (RasterPixMat * (RasterMaxX, ((k - 1) * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], false, true, 1, 0], k, 1, RasterMaxY / RasterStepXY]}) → RasterBeschriftung
  6. Sequence(Sequence[Corner[4] + (RasterPixMat * ((k * RasterStepXY), (m * RasterStepXY))), k, 0, RasterMaxX / RasterStepXY], m, 0, RasterMaxY / RasterStepXY) → RasterPunkte, {{(-14.020000000000012, 8.279999999999994), (-13.01749373433585, 8.279999999999994), (-12.01498746867169, 8.279999999999994), (-11.012481203007528, 8.279999999999994), (-10.009974937343365, 8.279999999999994), (-9.007468671679204, 8.279999999999994), (-8.004962406015043, 8.279999999999994), (-7.002456140350881, 8.279999999999994), (-5.99994987468672, 8.279999999999994), (-4.997443609022557, 8.279999999999994), (-3.994937343358396, 8.279999999999994), (-2.992431077694235, 8.279999999999994), (-1.9899248120300737, 8.279999999999994), (-0.9874185463659124, 8.279999999999994), (0.01508771929825059, 8.279999999999994), (1.0175939849624118, 8.279999999999994), (2.0201002506265713, 8.279999999999994)}, {(-14.020000000000012, 7.2766555183946435), (-13.01749373433585, 7.2766555183946435), (-12.01498746867169, 7.2766555183946435), (-11.012481203007528, 7.2766555183946435), (-10.009974937343365, 7.2766555183946435), (-9.007468671679204, 7.2766555183946435), (-8.004962406015043, 7.2766555183946435), (-7.002456140350881, 7.2766555183946435), (-5.99994987468672, 7.2766555183946435), (-4.997443609022557, 7.2766555183946435), (-3.994937343358396, 7.2766555183946435), (-2.992431077694235, 7.2766555183946435), (-1.9899248120300737, 7.2766555183946435), (-0.9874185463659124, 7.2766555183946435), (0.01508771929825059, 7.2766555183946435), (1.0175939849624118, 7.2766555183946435), (2.0201002506265713, 7.2766555183946435)}, {(-14.020000000000012, 6.273311036789293), (-13.01749373433585, 6.273311036789293), (-12.01498746867169, 6.273311036789293), (-11.012481203007528, 6.273311036789293), (-10.009974937343365, 6.273311036789293), (-9.007468671679204, 6.273311036789293), (-8.004962406015043, 6.273311036789293), (-7.002456140350881, 6.273311036789293), (-5.99994987468672, 6.273311036789293), (-4.997443609022557, 6.273311036789293), (-3.994937343358396, 6.273311036789293), (-2.992431077694235, 6.273311036789293), (-1.9899248120300737, 6.273311036789293), (-0.9874185463659124, 6.273311036789293), (0.01508771929825059, 6.273311036789293), (1.0175939849624118, 6.273311036789293), (2.0201002506265713, 6.273311036789293)}, {(-14.020000000000012, 5.2699665551839425), (-13.01749373433585, 5.2699665551839425), (-12.01498746867169, 5.2699665551839425), (-11.012481203007528, 5.2699665551839425), (-10.009974937343365, 5.2699665551839425), (-9.007468671679204, 5.2699665551839425), (-8.004962406015043, 5.2699665551839425), (-7.002456140350881, 5.2699665551839425), (-5.99994987468672, 5.2699665551839425), (-4.997443609022557, 5.2699665551839425), (-3.994937343358396, 5.2699665551839425), (-2.992431077694235, 5.2699665551839425), (-1.9899248120300737, 5.2699665551839425), (-0.9874185463659124, 5.2699665551839425), (0.01508771929825059, 5.2699665551839425), (1.0175939849624118, 5.2699665551839425), (2.0201002506265713, 5.2699665551839425)}, {(-14.020000000000012, 4.266622073578592), (-13.01749373433585, 4.266622073578592), (-12.01498746867169, 4.266622073578592), (-11.012481203007528, 4.266622073578592), (-10.009974937343365, 4.266622073578592), (-9.007468671679204, 4.266622073578592), (-8.004962406015043, 4.266622073578592), (-7.002456140350881, 4.266622073578592), (-5.99994987468672, 4.266622073578592), (-4.997443609022557, 4.266622073578592), (-3.994937343358396, 4.266622073578592), (-2.992431077694235, 4.266622073578592), (-1.9899248120300737, 4.266622073578592), (-0.9874185463659124, 4.266622073578592), (0.01508771929825059, 4.266622073578592), (1.0175939849624118, 4.266622073578592), (2.0201002506265713, 4.266622073578592)}, {(-14.020000000000012, 3.2632775919732415), (-13.01749373433585, 3.2632775919732415), (-12.01498746867169, 3.2632775919732415), (-11.012481203007528, 3.2632775919732415), (-10.009974937343365, 3.2632775919732415), (-9.007468671679204, 3.2632775919732415), (-8.004962406015043, 3.2632775919732415), (-7.002456140350881, 3.2632775919732415), (-5.99994987468672, 3.2632775919732415), (-4.997443609022557, 3.2632775919732415), (-3.994937343358396, 3.2632775919732415), (-2.992431077694235, 3.2632775919732415), (-1.9899248120300737, 3.2632775919732415), (-0.9874185463659124, 3.2632775919732415), (0.01508771929825059, 3.2632775919732415), (1.0175939849624118, 3.2632775919732415), (2.0201002506265713, 3.2632775919732415)}, {(-14.020000000000012, 2.259933110367891), (-13.01749373433585, 2.259933110367891), (-12.01498746867169, 2.259933110367891), (-11.012481203007528, 2.259933110367891), (-10.009974937343365, 2.259933110367891), (-9.007468671679204, 2.259933110367891), (-8.004962406015043, 2.259933110367891), (-7.002456140350881, 2.259933110367891), (-5.99994987468672, 2.259933110367891), (-4.997443609022557, 2.259933110367891), (-3.994937343358396, 2.259933110367891), (-2.992431077694235, 2.259933110367891), (-1.9899248120300737, 2.259933110367891), (-0.9874185463659124, 2.259933110367891), (0.01508771929825059, 2.259933110367891), (1.0175939849624118, 2.259933110367891), (2.0201002506265713, 2.259933110367891)}, {(-14.020000000000012, 1.2565886287625405), (-13.01749373433585, 1.2565886287625405), (-12.01498746867169, 1.2565886287625405), (-11.012481203007528, 1.2565886287625405), (-10.009974937343365, 1.2565886287625405), (-9.007468671679204, 1.2565886287625405), (-8.004962406015043, 1.2565886287625405), (-7.002456140350881, 1.2565886287625405), (-5.99994987468672, 1.2565886287625405), (-4.997443609022557, 1.2565886287625405), (-3.994937343358396, 1.2565886287625405), (-2.992431077694235, 1.2565886287625405), (-1.9899248120300737, 1.2565886287625405), (-0.9874185463659124, 1.2565886287625405), (0.01508771929825059, 1.2565886287625405), (1.0175939849624118, 1.2565886287625405), (2.0201002506265713, 1.2565886287625405)}, {(-14.020000000000012, 0.25324414715719), (-13.01749373433585, 0.25324414715719), (-12.01498746867169, 0.25324414715719), (-11.012481203007528, 0.25324414715719), (-10.009974937343365, 0.25324414715719), (-9.007468671679204, 0.25324414715719), (-8.004962406015043, 0.25324414715719), (-7.002456140350881, 0.25324414715719), (-5.99994987468672, 0.25324414715719), (-4.997443609022557, 0.25324414715719), (-3.994937343358396, 0.25324414715719), (-2.992431077694235, 0.25324414715719), (-1.9899248120300737, 0.25324414715719), (-0.9874185463659124, 0.25324414715719), (0.01508771929825059, 0.25324414715719), (1.0175939849624118, 0.25324414715719), (2.0201002506265713, 0.25324414715719)}, {(-14.020000000000012, -0.7501003344481596), (-13.01749373433585, -0.7501003344481596), (-12.01498746867169, -0.7501003344481596), (-11.012481203007528, -0.7501003344481596), (-10.009974937343365, -0.7501003344481596), (-9.007468671679204, -0.7501003344481596), (-8.004962406015043, -0.7501003344481596), (-7.002456140350881, -0.7501003344481596), (-5.99994987468672, -0.7501003344481596), (-4.997443609022557, -0.7501003344481596), (-3.994937343358396, -0.7501003344481596), (-2.992431077694235, -0.7501003344481596), (-1.9899248120300737, -0.7501003344481596), (-0.9874185463659124, -0.7501003344481596), (0.01508771929825059, -0.7501003344481596), (1.0175939849624118, -0.7501003344481596), (2.0201002506265713, -0.7501003344481596)}, {(-14.020000000000012, -1.753444816053511), (-13.01749373433585, -1.753444816053511), (-12.01498746867169, -1.753444816053511), (-11.012481203007528, -1.753444816053511), (-10.009974937343365, -1.753444816053511), (-9.007468671679204, -1.753444816053511), (-8.004962406015043, -1.753444816053511), (-7.002456140350881, -1.753444816053511), (-5.99994987468672, -1.753444816053511), (-4.997443609022557, -1.753444816053511), (-3.994937343358396, -1.753444816053511), (-2.992431077694235, -1.753444816053511), (-1.9899248120300737, -1.753444816053511), (-0.9874185463659124, -1.753444816053511), (0.01508771929825059, -1.753444816053511), (1.0175939849624118, -1.753444816053511), (2.0201002506265713, -1.753444816053511)}, {(-14.020000000000012, -2.7567892976588624), (-13.01749373433585, -2.7567892976588624), (-12.01498746867169, -2.7567892976588624), (-11.012481203007528, -2.7567892976588624), (-10.009974937343365, -2.7567892976588624), (-9.007468671679204, -2.7567892976588624), (-8.004962406015043, -2.7567892976588624), (-7.002456140350881, -2.7567892976588624), (-5.99994987468672, -2.7567892976588624), (-4.997443609022557, -2.7567892976588624), (-3.994937343358396, -2.7567892976588624), (-2.992431077694235, -2.7567892976588624), (-1.9899248120300737, -2.7567892976588624), (-0.9874185463659124, -2.7567892976588624), (0.01508771929825059, -2.7567892976588624), (1.0175939849624118, -2.7567892976588624), (2.0201002506265713, -2.7567892976588624)}, {(-14.020000000000012, -3.760133779264212), (-13.01749373433585, -3.760133779264212), (-12.01498746867169, -3.760133779264212), (-11.012481203007528, -3.760133779264212), (-10.009974937343365, -3.760133779264212), (-9.007468671679204, -3.760133779264212), (-8.004962406015043, -3.760133779264212), (-7.002456140350881, -3.760133779264212), (-5.99994987468672, -3.760133779264212), (-4.997443609022557, -3.760133779264212), (-3.994937343358396, -3.760133779264212), (-2.992431077694235, -3.760133779264212), (-1.9899248120300737, -3.760133779264212), (-0.9874185463659124, -3.760133779264212), (0.01508771929825059, -3.760133779264212), (1.0175939849624118, -3.760133779264212), (2.0201002506265713, -3.760133779264212)}}
  7. PolyLine(PosSB, Corner[txt001, 1] + (0.5, -0.1), Corner[txt001, 2] + (0.1, -0.1), Corner[txt001, 3] + (0.1, 0.1), Corner[txt001, 4] + (-0.1, 0.1), Corner[txt001, 1] + (-0.1, 0.5), PosSB) → sb00
  8. Textfield(input1) → InputBox1
  9. Textfield(input2) → InputBox2
  10. If((¬showHintTypical) ∨ randomQuestion ∈ {6, 7}, PosHintList(1), PosHintList(2)) → PosHintTypicalTask
  11. If((¬showHintTypical) ∧ (¬showHintTypicalTask), PosHintList(1), showHintTypical ∧ (¬(randomQuestion ∈ {6, 7})) ∧ showHintTypicalTask, PosHintList(3), PosHintList(2)) → PosHint