File:Probabilite d20 2d10 3d6.svg
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[edit]DescriptionProbabilite d20 2d10 3d6.svg |
Français : Comparaison des probabilités de jets de dés : 1d20, 2d10, 3d6.
English: Comparison of dice probabilities: 1d20, 2d10, 3d6. |
Date | |
Source | Own work |
Author | Christophe Dang Ngoc Chan (Cdang (talk)) |
Other versions | Original PNG: File:Probabilite d20 2d10 3d6.png. Derivative works of this file: Probabilite 1d20 3d6.svg. |
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This media was created with Scilab, a free open-source software. Here is a listing of the Scilab source used to create this file. |
// Calcul de probabilités de jets de dés par dénombrement
function [frequences]=tirages(nb_d, nb_faces)
// calcule les fréquences de nb_d tirage de dés par dénombrement
// entrées : nb_d : nombre de tirages (entier)
// nb_faces : nombre de faces du dé
// sorties : frequences : matrice de fréquences (réels)
N = nb_faces^nb_d; // nombre de valeurs possibles
resultats = zeros(N, nb_d); // initialisation : résultats des tirages
for i = 1:nb_d // n° de colonne
k = nb_faces^(nb_d - i); //à la colonne i,
// on alterne k valeurs 0 et k valeurs 1
for j=0:nb_faces^(i - 1) - 1
for jj = 1:nb_faces
resultats((nb_faces*j + jj - 1)*k + 1:(nb_faces*j + jj)*k, i)...
= jj;
end
end
end
//disp(resultats);
somme = sum(resultats, "c");
frequences_non_triees = tabul(somme);
frequences = gsort(frequences_non_triees, "lr", "i");
frequences(:,2) = 100*frequences(:,2)/N; // normalisation des fréquences
endfunction
// génération des valeurs
freq_1d20 = tirages(1, 20);
freq_2d10 = tirages(2, 10);
freq_3d6 = tirages(3, 6);
freq_cumul_1d20 = freq_1d20;
freq_cumul_1d20(:, 2) = cumsum(freq_1d20(:, 2))
freq_cumul_2d10 = freq_2d10;
freq_cumul_2d10(:, 2) = cumsum(freq_2d10(:, 2))
freq_cumul_3d6 = freq_3d6;
freq_cumul_3d6(:, 2) = cumsum(freq_3d6(:, 2))
// Tracé
scf(0);
clf;
subplot(2, 1, 1)
plot(freq_1d20(:, 1), freq_1d20(:, 2), "d-b")
plot(freq_2d10(:, 1), freq_2d10(:, 2), "s-m")
plot(freq_3d6(:, 1), freq_3d6(:, 2), "^-r")
xtitle("Fréquences (probabilité d''avoir une valeur)",...
"résultat des dés", "probabilité (%)")
legend("1d20", "2d10", "3d6")
subplot(2, 1, 2)
plot(freq_cumul_1d20(:, 1), freq_cumul_1d20(:, 2), "d-b")
plot(freq_cumul_2d10(:, 1), freq_cumul_2d10(:, 2), "s-m")
plot(freq_cumul_3d6(:, 1), freq_cumul_3d6(:, 2), "^-r")
xtitle("Fréquences cumulées (probabilité de faire moins qu''une valeur)",...
"résultat des dés", "probabilité (%)")
legend("1d20", "2d10", "3d6", pos = 4)
Licensing
[edit]I, the copyright holder of this work, hereby publish it under the following licenses:
Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue |
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Date/Time | Thumbnail | Dimensions | User | Comment | |
---|---|---|---|---|---|
current | 13:09, 24 October 2013 | 504 × 564 (170 KB) | Cdang (talk | contribs) | longer title | |
12:56, 24 October 2013 | 504 × 564 (170 KB) | Cdang (talk | contribs) | {{Information |Description={{fr|1=Comparaison des probabilités de jets de dés : 1d20, 2d10, 3d6.}} {{en|1=Comparison of dice probabilities: 1d20, 2d10, 3d6.}} |Source={{own}} |Date=2013-10-24 |Author= Christophe Dang Ngoc Chan (~~~) |other_versions=... |
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Short title | Comparaison de jets de dés : 1d20, 2d10, 3d6 |
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Width | 504.25778 |
Height | 563.77246 |