Playing JoKeR Math Game
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ΠΙΘΑΝΟΤΗΤΕΣ
This example demonstrates a math game simulation based on probability & statistics, showcasing the application of hypergeometric distribution in combinatorics through random experiments. Core math concepts include arithmetic operations, random experiments, probability & statistics, hypergeometric distribution. GeoGebra commands/objects used in construction are Sequence, RandomElement, Random, HyperGeometric, Function, Sample, Sort. Suitable for high school students to understand probability & combinatorics, or for math club activities.
GeoGebra Commands & Parameters
Sequence(k, k, 1, 45, 1) → λίστα1RandomElement(λίστα1) → aRandomElement(λίστα1) → bRandomElement(λίστα1) → cRandom(1, 49) → dHyperGeometric(49, 6, 6) → fFunction({0.8400000000000009, 4.140000000000002, 4.159999999999999, 4.179999999999999, 4.199999999999999, 4.219999999999999, 4.233333333333332, 4.246666666666665, 4.259999999999999, 4.319999999999999, 4.326666666666665, 4.333333333333332, 4.339999999999999, 4.419999999999999, 4.433333333333333, 4.446666666666665, 4.459999999999999, 4.489999999999998, 4.519999999999999, 4.533333333333332, 4.546666666666666, 4.559999999999999, 4.5666666666666655, 4.573333333333332, 4.579999999999999, 4.586666666666666, 4.593333333333333, 4.599999999999999, 4.604999999999999, 4.609999999999999, 4.614999999999998, 4.619999999999999, 4.624999999999999, 4.629999999999999, 4.634999999999999, 4.639999999999999, 4.64, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.64, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.64, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.64, 4.639999999999999, 4.64, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.64, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.64, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.64, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.639999999999999, 4.633333333333332, 4.626666666666666, 4.619999999999999, 4.619999999999998, 4.619999999999999, 4.619999999999999, 4.619999999999999, 4.619999999999998, 4.619999999999999, 4.619999999999999, 4.619999999999999, 4.619999999999999, 4.619999999999999, 4.606666666666666, 4.593333333333333, 4.579999999999999, 4.5779999999999985, 4.575999999999999, 4.574, 4.571999999999999, 4.5699999999999985, 4.568, 4.565999999999999, 4.563999999999998, 4.561999999999999, 4.559999999999999, 4.555555555555554, 4.551111111111109, 4.546666666666665, 4.542222222222221, 4.537777777777777, 4.533333333333331, 4.528888888888888, 4.524444444444443, 4.519999999999999, 4.506666666666665, 4.493333333333332, 4.479999999999999, 4.479999999999999, 4.479999999999999, 4.479999999999999, 4.479999999999999, 4.479999999999999, 4.479999999999999, 4.479999999999999, 4.479999999999999, 4.473333333333332, 4.466666666666666, 4.459999999999999, 4.455555555555555, 4.45111111111111, 4.446666666666666, 4.442222222222221, 4.437777777777777, 4.433333333333333, 4.428888888888888, 4.424444444444443, 4.419999999999999, 4.414999999999999, 4.409999999999998, 4.4049999999999985, 4.399999999999999, 4.387999999999999, 4.3759999999999994, 4.363999999999999, 4.3519999999999985, 4.339999999999999, 4.3279999999999985, 4.315999999999999, 4.303999999999999, 4.292, 4.279999999999999, 4.2733333333333325, 4.266666666666666, 4.259999999999999, 4.239999999999999, 4.219999999999999, 4.199999999999999, 4.173333333333333, 4.146666666666666, 4.119999999999999, 4.099999999999999, 4.079999999999999, 4.059999999999999, 4.029999999999999, 3.999999999999999, 3.919999999999999, 3.906666666666666, 3.893333333333332, 3.879999999999999}) → gSample(λίστα1, 5, false) → λίστα4Sort(λίστα4) → λίστα5VerticalText(κείμενο52) → κείμενο53VerticalText(κείμενο54) → κείμενο55Sequence(k, k, 1, 20, 1) → list1Sequence(Random[1, 20], i, 1, 1, 1) → list2Sequence(Random[1, 45], i, 1, 5, 1) → λίστα2Sequence(Random[1, 45], i, 1, 5, 1) → λίστα3Sequence(Random[1, 20], i, 1, 1, 1) → list3