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Dice Rolling Simulator & Law of Large Numbers: Estimating Probability via Relati

Dice Rolling Simulator & Law of Large Numbers: Estimating Probability via Relati
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2025-07-29 17:51
This example demonstrates the law of large numbers using a GeoGebra-based random experiment: students simulate repeatedly rolling a fair die, record the outcomes, and build a table of absolute and relative frequencies for faces 1–6. As the number of trials grows (e.g., up to 100 rolls), the empirical distribution stabilizes, illustrating how an estimate of probability (Schätzwert/estimated probabi

GeoGebra Commands & Parameters

  1. Sequence(Random[1, 10], i, 1, 10) → randomNumbers, {4, 5, 9, 5, 4, 8, 4, 9, 8, 6}
  2. Element(randomNumbers, Mod[questionCount, Length[randomNumbers]] + 1) → randomNumber
  3. Textfield(anzahl02) → 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, {{(-0.3900000000000001, 10.379999999999999), (0.6122271714922056, 10.379999999999999), (1.6144543429844114, 10.379999999999999), (2.6166815144766176, 10.379999999999999), (3.618908685968823, 10.379999999999999), (4.621135857461029, 10.379999999999999), (5.623363028953236, 10.379999999999999), (6.625590200445441, 10.379999999999999), (7.627817371937645, 10.379999999999999), (8.630044543429852, 10.379999999999999), (9.632271714922057, 10.379999999999999), (10.634498886414264, 10.379999999999999), (11.63672605790647, 10.379999999999999), (12.638953229398675, 10.379999999999999), (13.641180400890882, 10.379999999999999), (14.643407572383087, 10.379999999999999), (15.645634743875291, 10.379999999999999), (16.6478619153675, 10.379999999999999), (17.650089086859705, 10.379999999999999)}, {(-0.3900000000000001, 9.376913580246914), (0.6122271714922056, 9.376913580246914), (1.6144543429844114, 9.376913580246914), (2.6166815144766176, 9.376913580246914), (3.618908685968823, 9.376913580246914), (4.621135857461029, 9.376913580246914), (5.623363028953236, 9.376913580246914), (6.625590200445441, 9.376913580246914), (7.627817371937645, 9.376913580246914), (8.630044543429852, 9.376913580246914), (9.632271714922057, 9.376913580246914), (10.634498886414264, 9.376913580246914), (11.63672605790647, 9.376913580246914), (12.638953229398675, 9.376913580246914), (13.641180400890882, 9.376913580246914), (14.643407572383087, 9.376913580246914), (15.645634743875291, 9.376913580246914), (16.6478619153675, 9.376913580246914), (17.650089086859705, 9.376913580246914)}, {(-0.3900000000000001, 8.373827160493828), (0.6122271714922056, 8.373827160493828), (1.6144543429844114, 8.373827160493828), (2.6166815144766176, 8.373827160493828), (3.618908685968823, 8.373827160493828), (4.621135857461029, 8.373827160493828), (5.623363028953236, 8.373827160493828), (6.625590200445441, 8.373827160493828), (7.627817371937645, 8.373827160493828), (8.630044543429852, 8.373827160493828), (9.632271714922057, 8.373827160493828), (10.634498886414264, 8.373827160493828), (11.63672605790647, 8.373827160493828), (12.638953229398675, 8.373827160493828), (13.641180400890882, 8.373827160493828), (14.643407572383087, 8.373827160493828), (15.645634743875291, 8.373827160493828), (16.6478619153675, 8.373827160493828), (17.650089086859705, 8.373827160493828)}, {(-0.3900000000000001, 7.370740740740741), (0.6122271714922056, 7.370740740740741), (1.6144543429844114, 7.370740740740741), (2.6166815144766176, 7.370740740740741), (3.618908685968823, 7.370740740740741), (4.621135857461029, 7.370740740740741), (5.623363028953236, 7.370740740740741), (6.625590200445441, 7.370740740740741), (7.627817371937645, 7.370740740740741), (8.630044543429852, 7.370740740740741), (9.632271714922057, 7.370740740740741), (10.634498886414264, 7.370740740740741), (11.63672605790647, 7.370740740740741), (12.638953229398675, 7.370740740740741), (13.641180400890882, 7.370740740740741), (14.643407572383087, 7.370740740740741), (15.645634743875291, 7.370740740740741), (16.6478619153675, 7.370740740740741), (17.650089086859705, 7.370740740740741)}, {(-0.3900000000000001, 6.367654320987656), (0.6122271714922056, 6.367654320987656), (1.6144543429844114, 6.367654320987656), (2.6166815144766176, 6.367654320987656), (3.618908685968823, 6.367654320987656), (4.621135857461029, 6.367654320987656), (5.623363028953236, 6.367654320987656), (6.625590200445441, 6.367654320987656), (7.627817371937645, 6.367654320987656), (8.630044543429852, 6.367654320987656), (9.632271714922057, 6.367654320987656), (10.634498886414264, 6.367654320987656), (11.63672605790647, 6.367654320987656), (12.638953229398675, 6.367654320987656), (13.641180400890882, 6.367654320987656), (14.643407572383087, 6.367654320987656), (15.645634743875291, 6.367654320987656), (16.6478619153675, 6.367654320987656), (17.650089086859705, 6.367654320987656)}, {(-0.3900000000000001, 5.36456790123457), (0.6122271714922056, 5.36456790123457), (1.6144543429844114, 5.36456790123457), (2.6166815144766176, 5.36456790123457), (3.618908685968823, 5.36456790123457), (4.621135857461029, 5.36456790123457), (5.623363028953236, 5.36456790123457), (6.625590200445441, 5.36456790123457), (7.627817371937645, 5.36456790123457), (8.630044543429852, 5.36456790123457), (9.632271714922057, 5.36456790123457), (10.634498886414264, 5.36456790123457), (11.63672605790647, 5.36456790123457), (12.638953229398675, 5.36456790123457), (13.641180400890882, 5.36456790123457), (14.643407572383087, 5.36456790123457), (15.645634743875291, 5.36456790123457), (16.6478619153675, 5.36456790123457), (17.650089086859705, 5.36456790123457)}, {(-0.3900000000000001, 4.3614814814814835), (0.6122271714922056, 4.3614814814814835), (1.6144543429844114, 4.3614814814814835), (2.6166815144766176, 4.3614814814814835), (3.618908685968823, 4.3614814814814835), (4.621135857461029, 4.3614814814814835), (5.623363028953236, 4.3614814814814835), (6.625590200445441, 4.3614814814814835), (7.627817371937645, 4.3614814814814835), (8.630044543429852, 4.3614814814814835), (9.632271714922057, 4.3614814814814835), (10.634498886414264, 4.3614814814814835), (11.63672605790647, 4.3614814814814835), (12.638953229398675, 4.3614814814814835), (13.641180400890882, 4.3614814814814835), (14.643407572383087, 4.3614814814814835), (15.645634743875291, 4.3614814814814835), (16.6478619153675, 4.3614814814814835), (17.650089086859705, 4.3614814814814835)}, {(-0.3900000000000001, 3.358395061728398), (0.6122271714922056, 3.358395061728398), (1.6144543429844114, 3.358395061728398), (2.6166815144766176, 3.358395061728398), (3.618908685968823, 3.358395061728398), (4.621135857461029, 3.358395061728398), (5.623363028953236, 3.358395061728398), (6.625590200445441, 3.358395061728398), (7.627817371937645, 3.358395061728398), (8.630044543429852, 3.358395061728398), (9.632271714922057, 3.358395061728398), (10.634498886414264, 3.358395061728398), (11.63672605790647, 3.358395061728398), (12.638953229398675, 3.358395061728398), (13.641180400890882, 3.358395061728398), (14.643407572383087, 3.358395061728398), (15.645634743875291, 3.358395061728398), (16.6478619153675, 3.358395061728398), (17.650089086859705, 3.358395061728398)}, {(-0.3900000000000001, 2.355308641975313), (0.6122271714922056, 2.355308641975313), (1.6144543429844114, 2.355308641975313), (2.6166815144766176, 2.355308641975313), (3.618908685968823, 2.355308641975313), (4.621135857461029, 2.355308641975313), (5.623363028953236, 2.355308641975313), (6.625590200445441, 2.355308641975313), (7.627817371937645, 2.355308641975313), (8.630044543429852, 2.355308641975313), (9.632271714922057, 2.355308641975313), (10.634498886414264, 2.355308641975313), (11.63672605790647, 2.355308641975313), (12.638953229398675, 2.355308641975313), (13.641180400890882, 2.355308641975313), (14.643407572383087, 2.355308641975313), (15.645634743875291, 2.355308641975313), (16.6478619153675, 2.355308641975313), (17.650089086859705, 2.355308641975313)}, {(-0.3900000000000001, 1.3522222222222258), (0.6122271714922056, 1.3522222222222258), (1.6144543429844114, 1.3522222222222258), (2.6166815144766176, 1.3522222222222258), (3.618908685968823, 1.3522222222222258), (4.621135857461029, 1.3522222222222258), (5.623363028953236, 1.3522222222222258), (6.625590200445441, 1.3522222222222258), (7.627817371937645, 1.3522222222222258), (8.630044543429852, 1.3522222222222258), (9.632271714922057, 1.3522222222222258), (10.634498886414264, 1.3522222222222258), (11.63672605790647, 1.3522222222222258), (12.638953229398675, 1.3522222222222258), (13.641180400890882, 1.3522222222222258), (14.643407572383087, 1.3522222222222258), (15.645634743875291, 1.3522222222222258), (16.6478619153675, 1.3522222222222258), (17.650089086859705, 1.3522222222222258)}, {(-0.3900000000000001, 0.34913580246914044), (0.6122271714922056, 0.34913580246914044), (1.6144543429844114, 0.34913580246914044), (2.6166815144766176, 0.34913580246914044), (3.618908685968823, 0.34913580246914044), (4.621135857461029, 0.34913580246914044), (5.623363028953236, 0.34913580246914044), (6.625590200445441, 0.34913580246914044), (7.627817371937645, 0.34913580246914044), (8.630044543429852, 0.34913580246914044), (9.632271714922057, 0.34913580246914044), (10.634498886414264, 0.34913580246914044), (11.63672605790647, 0.34913580246914044), (12.638953229398675, 0.34913580246914044), (13.641180400890882, 0.34913580246914044), (14.643407572383087, 0.34913580246914044), (15.645634743875291, 0.34913580246914044), (16.6478619153675, 0.34913580246914044), (17.650089086859705, 0.34913580246914044)}, {(-0.3900000000000001, -0.6539506172839449), (0.6122271714922056, -0.6539506172839449), (1.6144543429844114, -0.6539506172839449), (2.6166815144766176, -0.6539506172839449), (3.618908685968823, -0.6539506172839449), (4.621135857461029, -0.6539506172839449), (5.623363028953236, -0.6539506172839449), (6.625590200445441, -0.6539506172839449), (7.627817371937645, -0.6539506172839449), (8.630044543429852, -0.6539506172839449), (9.632271714922057, -0.6539506172839449), (10.634498886414264, -0.6539506172839449), (11.63672605790647, -0.6539506172839449), (12.638953229398675, -0.6539506172839449), (13.641180400890882, -0.6539506172839449), (14.643407572383087, -0.6539506172839449), (15.645634743875291, -0.6539506172839449), (16.6478619153675, -0.6539506172839449), (17.650089086859705, -0.6539506172839449)}, {(-0.3900000000000001, -1.657037037037032), (0.6122271714922056, -1.657037037037032), (1.6144543429844114, -1.657037037037032), (2.6166815144766176, -1.657037037037032), (3.618908685968823, -1.657037037037032), (4.621135857461029, -1.657037037037032), (5.623363028953236, -1.657037037037032), (6.625590200445441, -1.657037037037032), (7.627817371937645, -1.657037037037032), (8.630044543429852, -1.657037037037032), (9.632271714922057, -1.657037037037032), (10.634498886414264, -1.657037037037032), (11.63672605790647, -1.657037037037032), (12.638953229398675, -1.657037037037032), (13.641180400890882, -1.657037037037032), (14.643407572383087, -1.657037037037032), (15.645634743875291, -1.657037037037032), (16.6478619153675, -1.657037037037032), (17.650089086859705, -1.657037037037032)}, {(-0.3900000000000001, -2.6601234567901173), (0.6122271714922056, -2.6601234567901173), (1.6144543429844114, -2.6601234567901173), (2.6166815144766176, -2.6601234567901173), (3.618908685968823, -2.6601234567901173), (4.621135857461029, -2.6601234567901173), (5.623363028953236, -2.6601234567901173), (6.625590200445441, -2.6601234567901173), (7.627817371937645, -2.6601234567901173), (8.630044543429852, -2.6601234567901173), (9.632271714922057, -2.6601234567901173), (10.634498886414264, -2.6601234567901173), (11.63672605790647, -2.6601234567901173), (12.638953229398675, -2.6601234567901173), (13.641180400890882, -2.6601234567901173), (14.643407572383087, -2.6601234567901173), (15.645634743875291, -2.6601234567901173), (16.6478619153675, -2.6601234567901173), (17.650089086859705, -2.6601234567901173)}}
  7. PolyLine(PosSB, Corner[txt011, 1] + (-0.1, 0.25), Corner[txt011, 1] + (-0.1, -0.1), Corner[txt011, 2] + (0.1, -0.1), Corner[txt011, 3] + (0.1, 0.1), Corner[txt011, 4] + (-0.1, 0.1), Corner[txt011, 1] + (-0.1, 0.75), PosSB) → sb01
  8. PolyLine(PosSB, Corner[txt031, 1] + (-0.1, 0.25), Corner[txt031, 1] + (-0.1, -0.1), Corner[txt031, 2] + (0.1, -0.1), Corner[txt031, 3] + (0.1, 0.1), Corner[txt031, 4] + (-0.1, 0.1), Corner[txt031, 1] + (-0.1, 0.75), PosSB) → sb03
  9. PolyLine(PosSB, Corner[txt021, 1] + (-0.1, 0.5), Corner[txt021, 1] + (-0.1, -0.1), Corner[txt021, 2] + (0.1, -0.1), Corner[txt021, 3] + (0.1, 0.1), Corner[txt021, 4] + (-0.1, 0.1), Corner[txt021, 1] + (-0.1, 1), PosSB) → sb02
  10. Textfield(anzahl04) → InputBox04
  11. Textfield(anzahl05) → InputBox05
  12. Random(1, 6, savedAnzahl02) → ListeWürfe02, {1, 3, 5, 2, 1, 3, 6, 5, 2, 5}
  13. Random(1, 6, savedAnzahl04) → ListeWürfe04, {4, 2, 1, 6, 2, 3, 2, 1, 6, 5, 1, 2, 2, 4, 2, 6, 5, 5, 6, 3, 2, 2, 3, 2, 6, 3, 2, 1, 1, 1, 1, 3, 1, 4, 5, 3, 5, 5, 2, 4, 3, 6, 3, 1, 4, 4, 6, 5, 6, 6, 4, 1, 2, 5, 6, 3, 4, 4, 3, 4, 5, 4, 1, 6, 6, 5, 4, 2, 1, 3, 4, 6, 6, 1, 2, 3, 3, 5, 1, 2, 5, 6, 3, 4, 3, 6, 5, 2, 5, 1, 2, 2, 4, 5, 3, 3, 4, 1, 6, 6}
  14. Random(1, 6, savedAnzahl05) → ListeWürfe05, {6, 4, 5, 6, 4, 6, 3, 1, 3, 1, 6, 5, 1, 3, 4, 5, 2, 6, 2, 2, 5, 3, 3, 1, 6, 4, 3, 3, 3, 6, 4, 2, 4, 3, 1, 4, 1, 6, 4, 6, 3, 5, 3, 3, 2, 6, 2, 4, 1, 2, 1, 5, 5, 6, 2, 2, 6, 2, 3, 4, 3, 5, 5, 1, 3, 5, 6, 6, 3, 1, 4, 3, 2, 1, 4, 6, 4, 1, 5, 1, 5, 3, 2, 1, 3, 3, 2, 1, 5, 1, 3, 4, 2, 5, 4, 5, 1, 6, 3, 6, 4, 4, 4, 6, 4, 5, 5, 6, 2, 4, 6, 2, 3, 4, 4, 3, 6, 2, 1, 5, 4, 2, 5, 2, 3, 4, 4, 6, 4, 1, 5, 5, 2, 5, 1, 5, 6, 5, 4, 2, 2, 2, 5, 3, 1, 6, 1, 4, 6, 2, 6, 1, 2, 1, 4, 3, 4, 1, 6, 1, 2, 6, 4, 4, 4, 5, 6, 4, 1, 3, 6, 3, 6, 5, 2, 6, 4, 2, 3, 6, 1, 5, 6, 5, 5, 5, 4, 2, 5, 4, 3, 1, 5, 5, 3, 3, 6, 2, 1, 4, 1, 2, 5, 1, 5, 4, 5, 6, 3, 1, 6, 3, 2, 3, 6, 6, 5, 2, 4, 4, 5, 5, 5, 6, 2, 1, 4, 4, 1, 2, 1, 1, 3, 2, 3, 6, 1, 5, 6, 3, 4, 4, 6, 2, 3, 4, 4, 3, 5, 6, 5, 6, 6, 5, 5, 5, 3, 2, 4, 2, 3, 3, 5, 5, 6, 3, 4, 5, 2, 1, 6, 2, 6, 4, 2, 5, 4, 6, 3, 4, 6, 4, 6, 4, 6, 6, 4, 4, 2, 2, 3, 6, 2, 5, 6, 6, 4, 4, 2, 4, 2, 4, 1, 2, 4, 5, 5, 4, 1, 3, 5, 1, 5, 2, 4, 4, 2, 5, 2, 1, 6, 2, 6, 4, 3, 4, 3, 1, 6, 4, 5, 1, 6, 4, 4, 1, 3, 2, 3, 2, 2, 5, 2, 1, 3, 2, 5, 6, 4, 4, 6, 4, 2, 1, 2, 6, 6, 2, 4, 6, 3, 6, 4, 3, 6, 1, 4, 4, 2, 5, 3, 4, 4, 6, 6, 1, 6, 3, 2, 4, 2, 5, 2, 3, 5, 4, 1, 4, 5, 1, 2, 4, 2, 6, 5, 1, 6, 1, 1, 3, 3, 3, 1, 6, 6, 6, 3, 3, 5, 6, 3, 4, 1, 6, 6, 4, 1, 6, 5, 1, 2, 6, 4, 5, 1, 1, 4, 5, 3, 2, 6, 4, 4, 4, 4, 2, 5, 6, 6, 3, 3, 3, 6, 6, 1, 5, 2, 2, 1, 2, 5, 2, 4, 5, 3, 2, 5, 2, 5, 5, 3, 6, 1, 3, 4, 5, 2, 2, 1, 6, 3, 4, 2, 4, 4, 5, 2, 6, 2, 4, 2, 1, 3, 5, 3, 3, 6, 6, 1, 4, 6, 6, 3, 1, 3, 6, 6, 2, 6, 5, 6, 1, 5, 5, 5, 2, 6, 3, 3, 5, 5, 3, 2, 5, 3, 6, 3, 6, 5, 5, 3, 5, 4, 2, 3, 1, 2, 3, 5, 1, 3, 2, 2, 3, 1, 5, 1, 1, 6, 6, 6, 3, 3, 1, 2, 1, 1, 2, 1, 3, 5, 4, 2, 3, 5, 6, 5, 3, 2, 5, 6, 1, 4, 3, 1, 1, 4, 4, 2, 5, 5, 1, 3, 4, 1, 6, 1, 5, 5, 6, 3, 6, 1, 1, 2, 5, 1, 3, 5, 4, 2, 1, 5, 2, 4, 5, 1, 3, 2, 4, 3, 5, 1, 3, 1, 1, 2, 3, 3, 2, 5, 6, 5, 6, 6, 6, 4, 6, 6, 6, 3, 4, 2, 4, 2, 4, 5, 4, 6, 4, 2, 2, 3, 3, 5, 6, 6, 2, 3, 6, 1, 6, 1, 6, 6, 4, 3, 6, 3, 5, 4, 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5, 5, 3, 6, 4, 4, 5, 1, 3, 3, 2, 6, 1, 5, 3, 1, 3, 2, 5, 5, 1, 1, 1, 4, 3, 2, 3, 2, 5, 4, 5, 1, 5, 3, 4, 4, 5, 6, 4, 4, 4, 1, 6, 4, 1, 3, 6, 5, 1, 4, 2, 6, 6, 4, 3, 6, 3, 3, 1, 2, 4, 1, 4, 5, 6, 4, 4, 3, 4, 1, 5, 5, 5, 1, 5, 2, 5, 1, 2, 3, 5, 6, 3, 5, 5, 6, 1, 3, 5, 3, 5, 6, 5, 6, 4, 2, 1, 5, 2, 2, 4, 3, 4, 5, 2, 4, 6, 1, 6, 6, 6, 5, 1, 5, 3, 1, 5, 1, 5, 3, 4, 2, 6, 3, 5, 5, 1, 3, 6, 4, 4, 4, 1, 5, 3, 6, 5, 1, 2, 1, 1, 2, 2, 2, 2, 2, 3, 4, 3, 1, 4, 2, 6, 5, 6, 5, 1, 5, 1, 6, 4, 6, 4, 5, 2, 3, 4, 2, 1, 3, 5, 2, 2, 2, 6, 4, 3, 2, 5, 4, 2, 5, 3, 6, 4, 1, 3, 3, 2, 2, 3, 5, 4, 4, 5, 4, 3, 6, 5, 1, 2, 2, 3, 6, 4, 3, 5, 3, 4, 6, 3, 6, 5, 1, 2, 1, 2, 3, 4, 6, 4, 1, 1, 4, 6, 3, 2, 6, 5, 1, 6, 4, 3, 5, 3, 2, 1, 1, 2, 4, 1, 2, 2, 5, 5, 3, 3, 6, 4, 4, 3, 1, 6, 1, 2, 6, 6, 2, 3, 2, 5, 6, 6, 3, 3, 5, 6, 1, 5, 4, 3, 5, 6, 2, 3, 6, 1, 1, 1, 5, 1, 4, 1, 2, 4, 6, 3, 5, 6, 5, 1, 4, 2, 5, 3, 6, 6, 1, 2, 2, 1, 3, 6, 2, 3, 6, 2, 6, 1, 5, 4, 2, 5, 2, 3, 6, 1, 1, 3, 1, 2, 5, 3, 6, 6, 5, 1, 4, 6, 2, 4, 1, 2, 2, 6, 3, 6, 1, 4, 5, 4, 6, 3, 2, 3, 3, 3, 2, 4, 1, 1, 1, 4, 5, 1, 6, 5, 1, 2, 1, 5, 6, 1, 1, 1, 5, 1, 5, 1, 5, 3, 2, 2, 4, 6, 5, 3, 6, 4, 6, 4, 6, 2, 3, 6, 2, 5, 1, 4, 3, 1, 5, 6, 6, 3, 1, 5, 2, 3, 4, 4, 5, 3, 2, 2, 5, 1, 2, 5, 6, 4, 1, 5, 6, 1, 1, 5, 1, 4, 1, 4, 4, 5, 5, 6, 5, 2, 3, 1, 3, 5, 6, 3, 6, 2, 1, 2, 5, 1, 5, 5, 2, 3, 2, 2, 3, 5, 4, 2, 2, 3, 4, 5, 1, 4, 3, 6, 4, 5, 2, 2, 6, 2, 2, 1, 5, 2, 2, 1, 2, 4, 4, 5, 6, 6, 1, 6, 5, 3, 2, 3, 4, 4, 3, 1, 4, 5, 1, 1, 2, 3, 1, 3, 6, 2, 2, 1, 5, 5, 6, 1, 4, 1, 5, 5, 3, 2, 1, 6, 3, 3, 3, 1, 6, 6, 3, 1, 4, 4, 4, 1, 1, 6, 6, 5, 1, 1, 6, 1, 5, 3, 5, 4, 5, 5, 6, 4, 4, 6, 5, 4, 3, 6, 2, 3, 1, 6, 1, 4, 3, 3, 2, 6, 6, 5, 2, 4, 3, 6, 3, 4, 3, 6, 6, 5, 2, 4, 4, 2, 3, 4, 1, 2, 3, 6, 5, 3, 6, 2, 1, 5, 2, 1, 5, 4, 2, 6, 2, 3, 2, 6, 3, 4, 6, 2, 6, 6, 5, 4, 6, 4, 2, 6, 2, 1, 4, 1, 4, 6, 1, 6, 4, 6, 4, 3, 5, 4, 2, 3, 4, 6, 6, 5, 4, 3, 5, 4, 1, 5, 2, 1, 6, 2, 4, 4, 1, 6, 4, 6, 5, 4, 5, 5, 5, 6, 2, 3, 1, 6, 5, 4, 3, 6, 4, 3, 5, 4, 6, 6, 6, 4, 4, 2, 2, 4, 1, 4, 6, 2, 4, 2, 3, 3, 1, 6, 6, 5, 4, 5, 5, 3, 2, 1, 4, 3, 2, 1, 6, 3, 2, 1, 4, 5, 5, 4, 4, 3, 6, 2, 6, 2, 5, 3, 6, 3, 4, 1, 2, 6, 3, 6, 5, 1, 4, 6, 3, 4, 2, 3, 3, 3, 3, 4, 5, 1, 4, 3, 2, 3, 4, 1, 6, 2, 1, 3, 6, 6, 3, 3, 2, 3, 3, 4, 4, 1, 5, 5, 3, 1, 2, 5, 1, 6, 4, 1, 2, 6, 5, 5, 3, 3, 1, 3, 6, 6, 4, 1, 2, 6, 1, 1, 5, 5, 4, 3, 6, 3, 6, 2, 1, 2, 4, 6, 4, 6, 5, 4, 6, 4, 2, 6, 5, 6, 2, 1, 1, 5, 5, 5, 2, 3, 6, 5, 3, 1, 4, 2, 3, 3, 4, 1, 4, 6, 1, 6, 6, 5, 2, 4, 1, 4, 1, 5, 3, 4, 3, 2, 2, 4, 1, 1, 2, 1, 3, 5, 6, 6, 1, 6, 2, 5, 1, 3, 6, 3, 5, 3, 4, 5, 2, 2, 2, 5, 5, 5, 1, 1, 4, 6, 4, 6, 6, 4, 5, 4, 1, 2, 5, 5, 6, 1, 1, 3, 4, 2, 2, 1, 3, 1, 4, 4, 5, 2, 6, 6, 6, 2, 3, 1, 1, 4, 2, 3, 3, 3, 1, 6, 3, 1, 6, 1, 1, 5, 2, 3, 5, 5, 1, 3, 6, 4, 4, 1, 4, 1, 1, 3, 3, 1, 2, 6, 6, 6, 6, 2, 3, 4, 6, 5, 4, 2, 5, 5, 6, 5, 4, 1, 4, 1, 3, 6, 5, 6, 6, 6, 1, 2, 4, 5, 5, 2, 4, 2, 4, 1, 4, 5, 6, 5, 1, 1, 2, 5, 4, 2, 5, 5, 3, 1, 5, 2, 5, 2, 5, 6, 3, 6, 2, 3, 2, 1, 5, 5, 5, 1, 5, 6, 1, 1, 5, 5, 2, 6, 6, 1, 6, 3, 4, 1, 5, 3, 4, 4, 4, 5, 2, 4, 1, 5, 6, 4, 6, 2, 5, 5, 3, 5, 4, 2, 6, 2, 5, 6, 3, 3, 1, 1, 2, 5, 4, 6, 1, 5, 2, 6, 2, 6, 5, 6, 6, 1, 5, 6, 5, 4, 2, 4, 5, 2, 4, 6, 2, 5, 2, 4, 6, 2, 2, 5, 3, 5, 3, 5, 1, 3, 1, 5, 6, 5, 4, 6, 3, 1, 2, 2, 1, 3, 2, 3, 1, 1, 4, 6, 2, 3, 2, 4, 2, 2, 4, 6, 5, 1, 1, 2, 1, 3, 2, 2, 1, 6, 1, 5, 6, 3, 3, 4, 4, 2, 1, 2, 3, 3, 1, 2, 4, 5, 5, 5, 3, 2, 4, 1, 1, 4, 6, 3, 4, 1, 2, 1, 1, 6, 3, 2, 3, 2, 1, 1, 5, 6, 1, 3, 4, 2, 3, 2, 6, 6, 5, 3, 1, 4, 4, 6, 6, 2, 6, 5, 6, 4, 6, 6, 3, 5, 6, 5, 3, 5, 5, 2, 5, 2, 4, 5, 6, 1, 5, 1, 1, 5, 3, 2, 1, 3, 3, 4, 2, 4, 1, 6, 1, 6, 5, 2, 2, 4, 1, 1, 4, 6, 5, 5, 3, 5, 2, 5, 1, 4, 2, 1, 2, 5, 1, 1, 3, 2, 6, 3, 6, 4, 2, 5, 5, 6, 3, 6, 5, 3, 3, 6, 6, 1, 4, 4, 2, 4, 2, 5, 3, 4, 5, 5, 6, 1, 1, 2, 4, 3, 2, 5, 3, 1, 3, 4, 6, 1, 1, 2, 2, 6, 5, 2, 6, 6, 3, 6, 4, 6, 4, 1, 5, 5, 5, 1, 2, 6, 5, 6, 4, 4, 2, 2, 5, 6, 6, 1, 5, 3, 2, 6, 2, 6, 6, 4, 6, 3, 5, 4, 5, 3, 6, 4, 2, 6, 4, 4, 2, 6, 3, 5, 5, 5, 2, 6, 5, 2, 5, 3, 5, 5, 5, 6, 2, 3, 6, 1, 4, 4, 1, 4, 6, 5, 1, 6, 1, 3, 5, 5, 1, 4, 2, 5, 3, 2, 5, 3, 6, 1, 2, 3, 2, 2, 1, 4, 4, 3, 6, 5, 2, 1, 4, 4, 1, 3, 4, 4, 4, 2, 5, 4, 2, 2, 6, 5, 6, 3, 2, 2, 5, 1, 4, 3, 4, 2, 2, 2, 6, 5, 2, 4, 3, 6, 5, 3, 4, 5, 1, 6, 3, 1, 3, 6, 5, 1, 3, 2, 5, 4, 4, 6, 2, 3, 1, 3, 1, 5, 1, 5, 5, 6, 4, 5, 3, 5, 6, 6, 3, 2, 3, 6, 4, 4, 6, 5, 3, 3, 3, 6, 3, 6, 2, 5, 4, 2, 3, 2, 1, 3, 3, 6, 3, 3, 6, 6, 2, 6, 2, 4, 5, 6, 6, 3, 2, 5, 4, 6, 5, 1, 2, 1, 6, 4, 2, 3, 2, 4, 6, 6, 1, 4, 1, 1, 2, 5, 4, 5, 5, 1, 2, 5, 3, 6, 5, 6, 4, 4, 6, 1, 5, 3, 3, 6, 6, 4, 1, 6, 2, 1, 4, 3, 2, 4, 2, 6, 4, 6, 3, 5, 6, 3, 6, 3, 4, 6, 6, 1, 3, 5, 3, 4, 2, 1, 6, 3, 5, 1, 4, 2, 5, 2, 5, 2, 4, 5, 3, 4, 3, 3, 1, 1, 3, 2, 1, 5, 4, 1, 2, 6, 5, 2, 4, 1, 5, 6, 1, 3, 1, 2, 2, 3, 3, 6, 6, 2, 3, 2, 2, 4, 1, 6, 6, 5, 1, 1, 4, 6, 2, 6, 2, 4, 4, 5, 6, 3, 4, 6, 4, 6, 1, 3, 2, 2, 1, 4, 3, 5, 3, 4, 2, 1, 2, 2, 4, 1, 4, 4, 6, 3, 5, 6, 4, 1, 6, 5, 6, 5, 4, 1, 1, 4, 1, 3, 6, 2, 6, 4, 4, 5, 6, 1, 6, 1, 6, 6, 1, 5, 6, 2, 6, 4, 3, 4, 4, 3, 3, 4, 3, 6, 6, 4, 6, 2, 2, 2, 1, 5, 3, 1, 4, 3, 4, 4, 5, 4, 2, 1, 4, 2, 2, 5, 5, 5, 3, 3, 1, 5, 2, 5, 1, 1, 2, 2, 4, 6, 4, 4, 2, 5, 3, 5, 6, 5, 6, 4, 2, 1, 4, 1, 1, 3, 2, 1, 4, 5, 6, 2, 2, 6, 6, 4, 3, 2, 5, 3, 1, 3, 5, 3, 6, 3, 4, 1, 2, 5, 5, 5, 1, 5, 2, 3, 4, 6, 6, 4, 1, 4, 2, 2, 5, 4, 6, 4, 4, 6, 6, 1, 1, 4, 1, 1, 4, 6, 1, 5, 1, 5, 1, 4, 1, 4, 3, 6, 5, 3, 5, 4, 5, 1, 6, 2, 1, 1, 3, 3, 6, 1, 6, 3, 2, 5, 2, 4, 1, 3, 4, 4, 5, 1, 4, 1, 3, 3, 2, 3, 6, 5, 5, 1, 5, 5, 1, 4, 6, 4, 2, 6, 6, 2, 1, 5, 2, 6, 5, 6, 2, 2, 2, 1, 2, 3, 4, 6, 4, 6, 3, 1, 6, 1, 6, 3, 4, 6, 4, 4, 5, 5, 4, 6, 5, 2, 1, 5, 4, 3, 1, 3, 3, 3, 6, 5, 5, 3, 2, 5, 3, 5, 1, 1, 3, 3, 3, 4, 3, 1, 1, 5, 6, 2, 4, 3, 4, 5, 2, 4, 2, 5, 4, 5, 5, 1, 4, 5, 2, 3, 2, 4, 4, 4, 1, 4, 5, 1, 2, 6, 4, 6, 6, 1, 4, 6, 4, 5, 6, 6, 5, 4, 2, 1, 2, 6, 3, 3, 5, 2, 6, 1, 4, 5, 4, 5, 6, 3, 2, 5, 3, 3, 2, 4, 1, 6, 6, 2, 4, 6, 6, 3, 4, 4, 4, 1, 1, 2, 1, 5, 4, 1, 6, 5, 1, 6, 1, 6, 1, 3, 2, 6, 2, 1, 6, 5, 5, 2, 6, 4, 1, 4, 1, 5, 5, 6, 2, 5, 3, 3, 2, 4, 2, 1, 1, 3, 1, 5, 1, 5, 4, 3, 6, 3, 2, 4, 5, 4, 2, 4, 4, 4, 3, 1, 1, 3, 3, 3, 3, 3, 1, 1, 5, 6, 3, 3, 4, 6, 4, 4, 4, 6, 1, 2, 5, 6, 3, 5, 2, 6, 6, 2, 1, 3, 6, 3, 1, 6, 3, 1, 3, 2, 1, 1, 3, 1, 2, 2, 5, 6, 2, 3, 1, 3, 3, 5, 1, 5, 1, 4, 3, 5, 4, 6, 3, 1, 1, 3, 6, 1, 4, 3, 4, 5, 4, 3, 3, 3, 6, 5, 5, 1, 2, 4, 2, 5, 3, 3, 1, 3, 1, 2, 3, 6, 3, 3, 2, 3, 6, 4, 1, 2, 3, 6, 4, 6, 2, 6, 6, 4, 1, 4, 6, 6, 1, 3, 3, 4, 2, 2, 2, 5, 3, 3, 4, 1, 4, 2, 6, 2, 1, 2, 3, 3, 4, 1, 5, 6, 3, 4, 5, 4, 4, 6, 2, 6, 6, 3, 3, 5, 1, 3, 4, 3, 5, 6, 2, 2, 3, 6, 1, 5, 5, 4, 2, 4, 1, 1, 6, 1, 2, 4, 4, 4, 2, 1, 3, 3, 1, 6, 5, 1, 2, 6, 4, 1, 2, 3, 5, 4, 5, 6, 5, 1, 2, 5, 5, 2, 3, 5, 3, 3, 5, 6, 2, 3, 5, 2, 6, 1, 1, 1, 3, 6, 5, 6, 1, 3, 2, 4, 1, 4, 3, 1, 6, 3, 2, 5, 3, 1, 6, 2, 2, 1, 2, 4, 6, 2, 6, 3, 1, 4, 5, 6, 1, 4, 5, 5, 5, 6, 1, 1, 1, 1, 3, 6, 1, 6, 4, 1, 5, 4, 6, 3, 5, 5, 1, 6, 1, 3, 4, 5, 5, 3, 1, 2, 5, 6, 6, 4, 6, 1, 2, 1, 5, 1, 4, 4, 6, 3, 4, 5, 2, 3, 5, 3, 2, 6, 5, 4, 6, 2, 5, 1, 5, 1, 5, 5, 6, 5, 4, 6, 4, 6, 5, 5, 6, 4, 1, 6, 3, 5, 6, 1, 2, 1, 6, 6, 5, 6, 6, 2, 1, 5, 6, 4, 6, 4, 2, 2, 5, 1, 5, 4, 3, 1, 2, 3, 3, 4, 1, 4, 5, 4, 3, 5, 2, 3, 6, 1, 4, 5, 4, 2, 1, 5, 4, 3, 3, 2, 3, 2, 4, 3, 6, 4, 2, 2, 3, 1, 2, 3, 6, 1, 3, 3, 5, 5, 1, 1, 4, 6, 6, 6, 2, 2, 5, 1, 4, 3, 4, 6, 3, 1, 3, 4, 2, 4, 5, 4, 3, 6, 4, 1, 1, 3, 5, 6, 6, 5, 6, 2, 4, 4, 5, 6, 4, 4, 2, 4, 4, 1, 6, 4, 1, 1, 6, 2, 2, 1, 6, 2, 4, 5, 4, 1, 3, 5, 2, 1, 2, 1, 2, 4, 3, 3, 1, 3, 6, 2, 5, 5, 2, 6, 3, 2, 2, 4, 6, 5, 2, 6, 3, 2, 2, 2, 1, 1, 6, 5, 6, 3, 4, 5, 5, 6, 6, 6, 3, 3, 6, 2, 4, 6, 6, 3, 1, 6, 3, 6, 6, 4, 1, 5, 5, 3, 6, 4, 6, 4, 2, 2, 3, 5, 6, 5, 4, 4, 3, 5, 2, 5, 1, 1, 4, 3, 1, 1, 4, 6, 4, 2, 4, 6, 6, 6, 6, 1, 4, 4, 6, 3, 2, 3, 2, 1, 6, 1, 6, 6, 5, 1, 4, 5, 4, 1, 2, 2, 5, 3, 3, 4, 5, 3, 4, 3, 5, 4, 1, 4, 2, 6, 6, 4, 4, 5, 1, 3, 3, 5, 4, 2, 3, 6, 6, 5, 5, 3, 3, 4, 6, 4, 2, 5, 3, 5, 1, 4, 3, 6, 3, 1, 3, 3, 4, 4, 2, 4, 3, 2, 5, 3, 3, 1, 1, 1, 6, 2, 2, 1, 2, 4, 1, 5, 1, 5, 2, 4, 3, 1, 5, 5, 1, 2, 3, 3, 1, 3, 2, 6, 3, 2, 2, 5, 3, 2, 6, 5, 5, 3, 3, 2, 5, 1, 1, 4, 4, 2, 3, 2, 5, 6, 1, 1, 2, 6, 2, 4, 6, 5, 4, 6, 2, 1, 3, 4, 1, 2, 1, 5, 1, 4, 4, 6, 3, 3, 3, 6, 1, 6, 6, 4, 2, 5, 6, 1, 2, 3, 5, 1, 2, 2, 2, 1, 3, 2, 2, 4, 1, 2, 4, 4, 3, 3, 3, 3, 1, 6, 6, 5, 5, 6, 5, 4, 2, 4, 3, 3, 6, 1, 4, 4, 5, 6, 2, 6, 2, 4, 5, 4, 5, 2, 4, 1, 6, 3, 5, 3, 2, 6, 2, 4, 2, 1, 1, 5, 2, 1, 3, 2, 4, 1, 5, 6, 6, 3, 4, 6, 4, 5, 3, 4, 1, 1, 2, 5, 4, 5, 1, 6, 5, 3, 5, 3, 2, 5, 2, 5, 3, 6, 4, 6, 4, 6, 3, 3, 5, 2, 6, 1, 1, 5, 6, 5, 5, 3, 5, 6, 3, 3, 1, 6, 5, 3, 4, 3, 3, 1, 2, 1, 2, 3, 3, 6, 2, 4, 6, 5, 2, 6, 5, 3, 3, 1, 6, 1, 2, 1, 3, 4, 4, 5, 3, 1, 5, 5, 3, 3, 3, 3, 3, 5, 4, 4, 3, 1, 5, 5, 2, 4, 1, 6, 4, 1, 6, 3, 5, 4, 4, 4, 3, 2, 1, 5, 5, 3, 5, 1, 2, 2, 6, 1, 3, 1, 6, 2, 4, 6, 3, 4, 6, 4, 3, 4, 3, 5, 3, 5, 2, 2, 6, 2, 6, 2, 6, 6, 2, 6, 2, 4, 5, 1, 2, 4, 3, 1, 1, 5, 5, 6, 4, 1, 4, 5, 2, 4, 1, 4, 4, 3, 1, 4, 1, 2, 6, 2, 1, 5, 2, 4, 5, 1, 5, 5, 2, 6, 2, 5, 1, 6, 4, 6, 6, 5, 4, 1, 1, 2, 6, 2, 1, 3, 6, 5, 2, 4, 2, 1, 6, 6, 3, 1, 4, 4, 5, 1, 6, 4, 2, 1, 1, 6, 4, 5, 3, 2, 6, 5, 2, 3, 5, 6, 4, 2, 6, 2, 6, 3, 2, 5, 3, 3, 2, 5, 2, 6, 6, 2, 2, 6, 5, 5, 6, 1, 4, 2, 6, 4, 2, 1, 1, 4, 1, 2, 3, 1, 1, 6, 3, 2, 1, 1, 4, 6, 1, 2, 4, 4, 4, 3, 5, 6, 5, 3, 1, 3, 5, 4, 4, 2, 1, 6, 6, 4, 3, 3, 1, 3, 6, 1, 6, 2, 2, 6, 4, 6, 4, 5, 3, 4, 2, 1, 6, 1, 6, 1, 5, 1, 4, 1, 1, 3, 2, 4, 4, 3, 3, 2, 1, 1, 1, 5, 2, 6, 2, 5, 5, 4, 1, 4, 2, 2, 3, 3, 5, 4, 5, 3, 6, 6, 3, 5, 2, 5, 5, 2, 5, 3, 2, 2, 5, 1, 4, 6, 1, 4, 6, 1, 1, 2, 1, 2, 4, 3, 1, 1, 3, 1, 6, 4, 3, 5, 2, 5, 4, 4, 4, 6, 4, 4, 1, 5, 2, 5, 3, 3, 6, 6, 2, 1, 2, 6, 2, 5, 2, 3, 1, 6, 2, 4, 5, 4, 5, 6, 2, 5, 5, 5, 1, 3, 4, 6, 6, 1, 1, 4, 4, 1, 5, 2, 3, 4, 6, 5, 2, 2, 4, 3, 4, 4, 1, 2, 5, 2, 4, 5, 5, 1, 2, 2, 2, 2, 4, 1, 4, 3, 6, 2, 6, 4, 5, 5, 4, 1, 4, 2, 2, 1, 3, 2, 4, 2, 4, 1, 6, 4, 3, 3, 1, 5, 4, 1, 4, 3, 2, 6, 6, 6, 2, 1, 3, 5, 6, 1, 5, 3, 2, 3, 4, 2, 2, 4, 4, 2, 4, 2, 3, 3, 4, 5, 2, 2, 1, 5, 2, 3, 1, 2, 4, 2, 4, 4, 6, 2, 6, 1, 2, 3, 2, 4, 1, 3, 2, 2, 3, 1, 4, 4, 2, 1, 6, 3, 5, 2, 1, 3, 4, 1, 4, 1, 5, 1, 2, 5, 5, 1, 6, 3, 4, 6, 2, 3, 1, 4, 4, 2, 3, 6, 2, 2, 1, 3, 5, 5, 3, 1, 6, 3, 2, 1, 2, 1, 4, 2, 4, 6, 6, 3, 6, 6}
  15. Sequence(CountIf[a ≟ Wurfzahlen(k), a, ListeWürfe02], k, 1, 6) → AnzahlWürfe02
  16. Sequence(CountIf[a ≟ Wurfzahlen(k), a, ListeWürfe04], k, 1, 6) → AnzahlWürfe04
  17. Sequence(CountIf[a ≟ Wurfzahlen(k), a, ListeWürfe05], k, 1, 6) → AnzahlWürfe05
  18. Sequence(CountIf[a ≟ Wurfzahlen(k), a, Take[ListeWürfe02, 1, anim02]], k, 1, 6) → AnimWürfe02
  19. Segment(Origin, Origin + (lengthX + edgeAxis, 0)) → AxisX
  20. Segment(Origin, Origin + (0, lengthY + edgeAxis)) → AxisY
  21. Sequence(Origin + (disX + widthX / 2, 0) + (k * (widthX + absX, 0)), k, 0, 5) → PointXList
  22. Sequence(Segment[PointXList(k) + (0, (-segLength)), PointXList(k) + (0, segLength)], k, 1, 6) → segXAxis
  23. If(step < 4, maxY02, step ≟ 4, maxY04, maxY05) → maxY
  24. Sequence(CountIf[a ≟ Wurfzahlen(k), a, Take[ListeWürfe04, 1, anim04]], k, 1, 6) → AnimWürfe04
  25. Sequence(CountIf[a ≟ Wurfzahlen(k), a, Take[ListeWürfe05, 1, anim05]], k, 1, 6) → AnimWürfe05
  26. Random(1, 6, savedAnzahl02) → ListeWürfe03, {1, 1, 3, 5, 2, 1, 2, 5, 5, 4}
  27. Sequence(CountIf[a ≟ Wurfzahlen(k), a, Take[ListeWürfe03, 1, anim03]], k, 1, 6) → AnimWürfe03
  28. If(step < 3.5, AnimWürfe02, step ≟ 3.5, AnimWürfe03, step ≟ 4, AnimWürfe04, AnimWürfe05) → AnimWürfe
  29. PolyLine(PosSB, Corner[txt041, 1] + (-0.1, 0.25), Corner[txt041, 1] + (-0.1, -0.1), Corner[txt041, 2] + (0.1, -0.1), Corner[txt041, 3] + (0.1, 0.1), Corner[txt041, 4] + (-0.1, 0.1), Corner[txt041, 1] + (-0.1, 0.75), PosSB) → sb04
  30. PolyLine(PosSB, Corner[txt051, 1] + (0.25, -0.1), Corner[txt051, 2] + (0.1, -0.1), Corner[txt051, 3] + (0.1, 0.1), Corner[txt051, 4] + (-0.1, 0.1), Corner[txt051, 1] + (-0.1, 0.25), PosSB) → sb05
  31. PolyLine(PosSB, Corner[txt061, 1] + (-0.1, 0.25), Corner[txt061, 1] + (-0.1, 0), Corner[txt061, 2] + (0.1, 0), Corner[txt061, 3] + (0.1, 0.1), Corner[txt061, 4] + (-0.1, 0.1), Corner[txt061, 1] + (-0.1, 0.75), PosSB) → sb06
  32. Sequence(Sequence[PosTable + (Sum[ListSpalte, k], (-Sum[ListZeile, m])), k, 0, 7], m, 0, 3) → TablePosMat, {{(7.25, 5.68), (9.8, 5.68), (11.05, 5.68), (12.3, 5.68), (13.55, 5.68), (14.8, 5.68), (16.05, 5.68), (17.3, 5.68)}, {(7.25, 4.18), (9.8, 4.18), (11.05, 4.18), (12.3, 4.18), (13.55, 4.18), (14.8, 4.18), (16.05, 4.18), (17.3, 4.18)}, {(7.25, 2.9299999999999997), (9.8, 2.9299999999999997), (11.05, 2.9299999999999997), (12.3, 2.9299999999999997), (13.55, 2.9299999999999997), (14.8, 2.9299999999999997), (16.05, 2.9299999999999997), (17.3, 2.9299999999999997)}, {(7.25, 1.6799999999999997), (9.8, 1.6799999999999997), (11.05, 1.6799999999999997), (12.3, 1.6799999999999997), (13.55, 1.6799999999999997), (14.8, 1.6799999999999997), (16.05, 1.6799999999999997), (17.3, 1.6799999999999997)}}
  33. Sequence(Text[(("\textsf{" * k) * "}"), Midpoint[TablePosMat(2, 1 + k), TablePosMat(2, 2 + k)] + (0, -0.1), false, true, 0, 1], k, 1, 6) → CapAugenZahlen
  34. Sequence(Midpoint[TablePosMat(1, 1 + k), TablePosMat(1, 2 + k)] + (0, -0.1 - (sideQ) / 2), k, 1, 6) → PointQ
  35. Sequence(PolyLine[PointQ(k) + (((-sideQ)) / 2, ((-sideQ)) / 2) + {(0, 0), (sideQ, 0), (sideQ, sideQ), (0, sideQ), (0, 0)}], k, 1, 6) → ListQuadrate
  36. If(step < 4, savedAnzahl02, step ≟ 4, savedAnzahl04, savedAnzahl05) → anzahl
  37. Textfield(input031) → InputBox031
  38. Textfield(input032) → InputBox032
  39. Textfield(input033) → InputBox033
  40. Textfield(input034) → InputBox034
  41. Textfield(input035) → InputBox035
  42. Textfield(input036) → InputBox036
  43. SelectedIndex(dropdown061) → index061
  44. Textfield(input081) → InputBox081
  45. Textfield(input082) → InputBox082
  46. If(step ≟ 2, anim02 ≟ 0, step ≟ 3.5, anim03 ≟ 0, step ≟ 4, 100 ≤ anzahl04 ≤ 1000 ∧ Defined[anzahl04] ∧ IsInteger[anzahl04] ∧ anim04 ≟ 0, step ≟ 5, anzahl05 ≟ 10000 ∧ anim05 ≟ 0, false) → clickableBtnWürfeln
  47. If(step ≟ 2, anim02 ≟ 0 ∨ anim02 ≟ savedAnzahl02, step ≟ 3.5, anim03 ≟ 0 ∨ anim03 ≟ savedAnzahl02, step ≟ 4, anim04 ≟ 0 ∨ anim04 ≟ savedAnzahl04, step ≟ 5, anim05 ≟ 0 ∨ anim05 ≟ savedAnzahl05, true) → clickableBtnBack
  48. Sequence(Origin + (k * (0, lengthY / 7)), k, 0, 7) → PointYList02
  49. Sequence(Text[(("\textsf{" * k) * "}"), PointYList02(k + 1) + ((-segLength), 0.075), false, true, -1, 0], k, 0, Length[PointYList02]) → CapYAxis02
  50. Sequence(Origin + (k * (0, lengthY / 10)), k, 0, 10) → PointYList05
  51. Sequence(Segment[PointYList05(k) + ((-segLength), 0), PointYList05(k) + (segLength, 0)], k, 1, Length[PointYList05] + 1) → segYAxis05
  52. Sequence(Text[(("\textsf{" * NumberSeparationCommaText[("" * Element[Sequence[m, m, 0, 2500, 2500 / (Length[PointYList05] - 1)], k])]) * "}"), PointYList05(k) + ((-segLength), 0.075), false, true, -1, 0], k, 1, Length[PointYList05]) → CapYAxis05
  53. Sequence(Origin + (k * (0, lengthY / maxY04)), k, 0, maxY04, ceil(maxY04 / 10)) → PointYList04
  54. Sequence(Segment[PointYList04(k) + ((-segLength), 0), PointYList04(k) + (segLength, 0)], k, 1, Length[PointYList04] + 1) → segYAxis04
  55. Sequence(Text[(("\textsf{" * NumberSeparationCommaText[("" * Element[Sequence[m, m, 0, maxY04, ceil(maxY04 / 10)], k])]) * "}"), PointYList04(k) + ((-segLength), 0.075), false, true, -1, 0], k, 1, Length[PointYList04]) → CapYAxis04
  56. Sequence(Text[(("\textsf{" * If[AnimWürfe(k) ≟ 0 ∧ If[step ≟ 2, anim02 < savedAnzahl02, step ≟ 3.5, anim03 < savedAnzahl02, step ≟ 4, anim04 < savedAnzahl04, step ≟ 5, anim05 < savedAnzahl05], "", NumberSeparationCommaText[("" * AnimWürfe(k))]]) * "}"), Midpoint[TablePosMat(2, k + 1), TablePosMat(3, k + 2)], false, true, 0, 0], k, 1, 6) → CapAH
  57. SelectedIndex(dropdown041) → index041
  58. PolyLine(PosSB, Corner[txt0351, 1] + (-0.1, 0.25), Corner[txt0351, 1] + (-0.1, -0.1), Corner[txt0351, 2] + (0.1, -0.1), Corner[txt0351, 3] + (0.1, 0.1), Corner[txt0351, 4] + (-0.1, 0.1), Corner[txt0351, 1] + (-0.1, 0.75), PosSB) → sb035
  59. If(step ≟ 2, ¬reset02, step ≟ 3.5, ¬reset03, step ≟ 4, ¬reset04, step ≟ 5, ¬reset05) → clickableBtnReset
  60. Sequence(Segment[PointYList02(k) + ((-segLength), 0), PointYList02(k) + (segLength, 0)], k, 2, Length[PointYList02] + 1) → segYAxis02
  61. Sequence(Text[(("\textsf{\bold{\textcolor{" * Element[{"#b00020}{1}", "#9C4381}{2}", "#2E7D32}{3}", "#DB6114}{4}", "#1565C0}{5}", "#988C00}{6}"}, k]) * "}}"), PointXList(k) + (0, (-segLength)), false, true, 0, -1], k, 1, 6) → CapXAxis
  62. If(step ≟ 2, anim02 ≟ savedAnzahl02 ∧ wurf02 ≥ 1, step ≟ 6, correctdd061, step ≟ 7, correct081 ∧ correct082, true, step ≟ 3, correct031 ∧ correct032 ∧ correct033 ∧ correct034 ∧ correct035 ∧ correct036, step ≟ 3.5, anim03 ≟ savedAnzahl02 ∧ wurf03 ≥ 1, step ≟ 4, anim04 ≟ savedAnzahl04 ∧ wurf04 ≥ 1 ∧ checkBefore ∧ correctdd041, step ≟ 5, anim05 ≟ savedAnzahl05 ∧ wurf05 ≥ 1) → clickableBtnNext
  63. Point(Line[F0811, xAxis]) → F0812
  64. Ellipse(F0811, F0812, P081) → ell081
  65. Point(Line[F0821, xAxis]) → F0822
  66. Ellipse(F0821, F0822, P082) → ell082
  67. Sequence(Text[((("\textsf{" * If[step ≟ 4 ∧ anim04 ≟ savedAnzahl04 ∧ wurf04 ≥ 1 ∨ step ≟ 5 ∧ anim05 ≟ savedAnzahl05 ∧ wurf05 ≥ 1, "\bold{", "{"]) * If[AnimWürfe(k) ≟ 0 ∧ If[step ≟ 2, anim02 < savedAnzahl02, step ≟ 3.5, anim03 < savedAnzahl02, step ≟ 4, anim04 < savedAnzahl04, step ≟ 5, anim05 < savedAnzahl05], "", NumberSeparationCommaText[("" * AnimWürfeRH(k))]]) * "}}"), Midpoint[TablePosMat(3, k + 1), TablePosMat(4, k + 2)], false, true, 0, 0], k, 1, 6) → CapRH