File:3d6 et 3 meillleurs de 4d6.svg
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Size of this PNG preview of this SVG file: 509 × 589 pixels. Other resolutions: 207 × 240 pixels | 415 × 480 pixels | 664 × 768 pixels | 885 × 1,024 pixels | 1,770 × 2,048 pixels.
Original file (SVG file, nominally 509 × 589 pixels, file size: 140 KB)
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Summary[edit]
| Description |
Français : Comparaison entre les probabilités d'avoir une valeur en sommant trois dés à six faces (3d6), et en tirant quatre dés et en faisant la somme des trois meilleurs.
English: Comparison between the probabilities to have a value summing three six-sided dice (3d6), and summing the three best dice amongst four. |
| Date | |
| Source | Own work |
| Author | Christophe Dang Ngoc Chan (Cdang (talk)) |
| Other versions | PNG: File:3d6 et 3 meillleurs de 4d6.png; box plot: File:Boite a moustaches 3d6 et 3 meilleurs 4d6.svg |
Scilab source
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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
nfaces = 6; // nombre de faces du dé
nfaces2 = nfaces*nfaces;
nfaces3 = nfaces2*nfaces;
nfaces4 = nfaces3*nfaces;
de = 1:nfaces;
// 3d6 parmi 3
de13 = matrix(ones(nfaces2,1)*de, nfaces3, 1);
de23 = matrix(ones(nfaces, 1)*matrix(de'*ones(1, nfaces), 1, nfaces2), nfaces3, 1);
de33 = matrix(de'*ones(1, nfaces2), nfaces3, 1);
de3 = [de13 de23 de33];
freq_3d = tabul(sum(de3, "c"));
freq_3d(:, 2) = 100/nfaces3*freq_3d(:, 2);
// 3d6 parmi 4
de14 = matrix(ones(nfaces3,1)*de, nfaces4, 1);
de24 = matrix(matrix(ones(nfaces2, 1)*de, nfaces3, 1)*ones(1, nfaces), nfaces4, 1);
de34 = matrix(ones(nfaces, 1)*matrix(de'*ones(1, nfaces2), 1, nfaces3), nfaces4, 1);
de44 = matrix(de'*ones(1, nfaces3), nfaces4, 1);
de4=[de14 de24 de34 de44];
[de4min, indexmin] = min(de4, "c");
freq_4d = tabul(sum(de4, "c") - de4min);
freq_4d(:, 2) = 100/nfaces4*freq_4d(:, 2);
scf(0);
clf();
subplot(2, 1, 1)
plot2d(freq_3d(:, 1), freq_3d(:, 2), style=13);
p1 = gce();
p1.children.mark_style=5;
p1.children.mark_foreground=13;
plot2d(freq_4d(:, 1), freq_4d(:, 2), style=2);
p2 = gce();
p2.children.mark_style=6;
p2.children.mark_foreground=2;
xtitle("3d6 (vert) et les trois meilleurs dés de 4d6 (bleu)",...
"résultat des dés", "probabilité (%)")
subplot(2, 1, 2)
plot2d(freq_3d(:, 1), 100-cumsum(freq_3d(:, 2)), style=13);
p1 = gce();
p1.children.mark_style=5;
p1.children.mark_foreground=13;
plot2d(freq_4d(:, 1), 100-cumsum(freq_4d(:, 2)), style=2);
p2 = gce();
p2.children.mark_style=6;
p2.children.mark_foreground=2;
p3=gca();
p3.tight_limits(2) = "on";
xtitle("3d6 (vert) et les trois meilleurs dés de 4d6 (bleu)",...
"résultat des dés", "probabilité (%)")
xtitle("Fréquences cumulées",...
"résultat des dés", "probabilité (%)")
Licensing[edit]
I, the copyright holder of this work, hereby publish it under the following license:
 
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This file is made available under the Creative Commons CC0 1.0 Universal Public Domain Dedication. |
| The person who associated a work with this deed has dedicated the work to the public domain by waiving all of their rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission.
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File history
Click on a date/time to view the file as it appeared at that time.
| Date/Time | Thumbnail | Dimensions | User | Comment | |
|---|---|---|---|---|---|
| current | 13:15, 4 May 2018 | | 509 × 589 (140 KB) | Cdang (talk | contribs) | +box diagram |
| 12:59, 4 May 2018 |  | 610 × 460 (113 KB) | Cdang (talk | contribs) | +cumulated frequencies | |
| 09:13, 24 October 2013 |  | 498 × 396 (47 KB) | Cdang (talk | contribs) | {{Information |Description={{fr|1=Comparaison entre les probabilités d'avoir une valeur en sommant trois dés à six faces (3d6), et en tirant quatre dés et en faisant la somme des trois meilleurs.}} {{en|1=Comparison between the probabilities to hav... |
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