File:1d6 choisi parmi n.svg

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Description
English: Probability for the best six-sided die chosen amongst n (1 to 5).
Français : robabilité pour un dé à six faces choisi parmi n (de 1 à 5).
Date
Source Own work
Author Christophe Dang Ngoc Chan (Cdang )
Other versions subsets: 1d6 choisi parmi n fonction de densite.svg, 1d6 choisi parmi n fonction de masse.svg
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The source code of this SVG is invalid due to an error.
 
This W3C-invalid vector image was created with Scilab by cdang.
 
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Scilab source code

clear; clf;

nbmax = 5;
resultat = zeros(6^nbmax, nbmax); // initialisation
 
for i = 1:nbmax // colonne
    serie = 6^(nbmax - i);
    nbseries = 6^(i - 1);
    for j = 1:nbseries
        init = 6*serie*(j - 1) + 1;
        for k = 1:6
            i0 = init + (k - 1)*serie;
            resultat(i0:i0 + serie - 1, i) = k;
        end
    end
end
 
// sélection du meilleur dé
meilleur = zeros(resultat);
for i = 1:nbmax
    meilleur(:, i) = max(resultat(:, 1:i), "c");
end

// frequences

freq1d = tabul(meilleur(:, 1), "i");
freq2d = tabul(meilleur(:, 2), "i");
freq3d = tabul(meilleur(:, 3), "i");
freq4d = tabul(meilleur(:, 4), "i");
freq5d = tabul(meilleur(:, 5), "i");

// normalisation
freq1d(:, 2) = 100*freq1d(:, 2)/sum(freq1d(:, 2));
freq2d(:, 2) = 100*freq2d(:, 2)/sum(freq2d(:, 2));
freq3d(:, 2) = 100*freq3d(:, 2)/sum(freq3d(:, 2));
freq4d(:, 2) = 100*freq4d(:, 2)/sum(freq4d(:, 2));
freq5d(:, 2) = 100*freq5d(:, 2)/sum(freq5d(:, 2));

cumul1d = freq1d();
cumul1d(:, 2) = cumsum(freq1d(:, 2));

cumul2d = freq2d();
cumul2d(:, 2) = cumsum(freq2d(:, 2));

cumul3d = freq3d();
cumul3d(:, 2) = cumsum(freq3d(:, 2));

cumul4d = freq4d();
cumul4d(:, 2) = cumsum(freq4d(:, 2));

cumul5d = freq5d();
cumul5d(:, 2) = cumsum(freq5d(:, 2));


// Tracé

subplot(2, 1, 1)
plot2d(freq1d(:, 1), freq1d(:, 2), style = 1)
plot2d(freq2d(:, 1), freq2d(:, 2), style = 2)
plot2d(freq3d(:, 1), freq3d(:, 2), style = 3)
plot2d(freq4d(:, 1), freq4d(:, 2), style = 4)
plot2d(freq5d(:, 1), freq5d(:, 2), style = 5)
legend(["1d6" ; "2d6" ; "3d6" ; "4d6" ; "5d6"], "in_upper_left");
xtitle("Fréquence (probabilité d''obtenir une valeur)", "résultat",...
    "probabilité (%)")

subplot(2, 1, 2)
plot2d(cumul1d(:, 1), cumul1d(:, 2), style = 1)
plot2d(cumul2d(:, 1), cumul2d(:, 2), style = 2)
plot2d(cumul3d(:, 1), cumul3d(:, 2), style = 3)
plot2d(cumul4d(:, 1), cumul4d(:, 2), style = 4)
plot2d(cumul5d(:, 1), cumul5d(:, 2), style = 5)
 legend(["1d6" ; "2d6" ; "3d6" ; "4d6" ; "5d6"], "in_upper_left");
xtitle("Fréquence cumulées (probabilité de faire moins qu''une valeur)",...
    "résultat", "probabilité (%)")

Licensing[edit]

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head 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.
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Date/TimeThumbnailDimensionsUserComment
current13:50, 5 November 2013Thumbnail for version as of 13:50, 5 November 2013495 × 448 (54 KB)Cdang (talk | contribs){{Information |Description={{en|1=Probability for the best six-sided die chosen amongst ''n'' (1 to 5).}} {{fr|1=robabilité pour un dé à six faces choisi parmi ''n'' (de 1 à 5).}} |Source={{own}} |Date=2013-11-05 |Author= Christophe Dang Ngoc Chan ...

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