File:1d choisi parmi 2 differents depasser score.png

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Probabilité d'atteindre ou de dépasser un score.

On jette deux dés pouvant être différents (par exemple 1d4 et 1d8), et on retient le meilleur score (système utilisé dans le jeu de rôle Usagi Yojimbo). Pour chaque graphique : le premier dé est fixé, et il y a une courbe pour chaque second dé.

Probability to reach a value or make better.

Two dice, possibly different (e.g. 1d4 and 1d8), are thrown and only the best result is kept (system used in the Usagi Yojimbo roleplaying game). For each window: the first die is fixed, and there is one curve for each second die.

Auteur/author : Christophe Dang Ngoc Chan (cdang)

réalisé avec/made with Scilab

clear; clf;

// Initialisation

resultat=zeros(12,12,12);

// Calcul : toutes els valeurs sont calculées
// mais toutes ne sont pas affichées

for imax=4:2:12
   for jmax=imax:2:12
      for i=1:imax
         for j=1:jmax
            if j>i then resultat(imax,jmax,j) = resultat(imax,jmax,j)+1;
            else resultat(imax,jmax,i) = resultat(imax,jmax,i)+1; end;
         end
      end
   end
end

// Transformation dénombrement -> probabilité
// d4

somme44 = sum(resultat(4,4,:));
for i=1:4
   y44(i)=100*resultat(4,4,i)/somme44;
end

somme46 = sum(resultat(4,6,:));
for i=1:6
   y46(i)=100*resultat(4,6,i)/somme46;
end

somme48 = sum(resultat(4,8,:));
for i=1:8
   y48(i)=100*resultat(4,8,i)/somme48;
end

somme410 = sum(resultat(4,10,:));
for i=1:10
   y410(i)=100*resultat(4,10,i)/somme410;
end

somme412 = sum(resultat(4,12,:));
for i=1:12
   y412(i)=100*resultat(4,12,i)/somme412;
end

// d6

somme66 = sum(resultat(6,6,:));
for i=1:6
   y66(i)=100*resultat(6,6,i)/somme66;
end

somme68 = sum(resultat(6,8,:));
for i=1:8
   y68(i)=100*resultat(6,8,i)/somme68;
end

somme610 = sum(resultat(6,10,:));
for i=1:10
   y610(i)=100*resultat(6,10,i)/somme610;
end

somme612 = sum(resultat(6,12,:));
for i=1:12
   y612(i)=100*resultat(6,12,i)/somme612;
end

// d8

somme88 = sum(resultat(8,8,:));
for i=1:8
   y88(i)=100*resultat(8,8,i)/somme88;
end

somme810 = sum(resultat(8,10,:));
for i=1:10
   y810(i)=100*resultat(8,10,i)/somme810;
end

somme812 = sum(resultat(8,12,:));
for i=1:12
   y812(i)=100*resultat(8,12,i)/somme812;
end

// d10

somme1010 = sum(resultat(10,10,:));
for i=1:10
   y1010(i)=100*resultat(10,10,i)/somme1010;
end

somme1012 = sum(resultat(10,12,:));
for i=1:12
   y1012(i)=100*resultat(10,12,i)/somme1012;
end

// d12

somme1212 = sum(resultat(12,12,:));
for i=1:12
   y1212(i)=100*resultat(12,12,i)/somme1212;
end

// calcul du cumul

// d4

z44(4)=y44(4);
for i=3:-1:1
   z44(i)=z44(i+1)+y44(i);
end

z46(5)=y46(6);
for i=5:-1:1
   z46(i)=z46(i+1)+y46(i);
end

z48(8)=y48(8);
for i=7:-1:1
   z48(i)=z48(i+1)+y48(i);
end

z410(10)=y410(10);
for i=9:-1:1
   z410(i)=z410(i+1)+y410(i);
end

z412(12)=y412(12);
for i=11:-1:1
   z412(i)=z412(i+1)+y412(i);
end

// d6

z66(6)=y66(6);
for i=5:-1:1
   z66(i)=z66(i+1)+y66(i);
end

z68(8)=y68(8);
for i=7:-1:1
   z68(i)=z68(i+1)+y68(i);
end

z610(10)=y610(10);
for i=9:-1:1
   z610(i)=z610(i+1)+y610(i);
end

z612(12)=y612(12);
for i=11:-1:1
   z612(i)=z612(i+1)+y612(i);
end

// d8
 
z88(8)=y88(8);
for i=7:-1:1
   z88(i)=z88(i+1)+y88(i);
end

z810(10)=y810(10);
for i=9:-1:1
   z810(i)=z810(i+1)+y810(i);
end

z812(12)=y812(12);
for i=11:-1:1
   z812(i)=z812(i+1)+y812(i);
end

// d10

z1010(10)=y1010(10);
for i=9:-1:1
   z1010(i)=z1010(i+1)+y1010(i);
end

z1012(12)=y1012(12);
for i=11:-1:1
   z1012(i)=z1012(i+1)+y1012(i);
end

// d12

z1212(12)=y1212(12);
for i=11:-1:1
   z1212(i)=z1212(i+1)+y1212(i);
end

// tracé

subplot(2,2,1)

plot2d(1:4,z44,rect=[1,0,12,100],style=1)
plot2d(1:6,z46,rect=[1,0,12,10],style=2)
plot2d(1:8,z48,rect=[1,0,12,100],style=3)
plot2d(1:10,z410,rect=[1,0,12,100],style=4)
plot2d(1:12,z412,rect=[1,0,12,100],style=5)

xtitle('d4','rés.','%')

subplot(2,2,3)

plot2d(1:8,z48,rect=[1,0,12,100],style=1)
plot2d(1:8,z68,rect=[1,0,12,100],style=2)
plot2d(1:8,z88,rect=[1,0,12,100],style=3)
plot2d(1:10,z810,rect=[1,0,12,100],style=4)
plot2d(1:12,z812,rect=[1,0,12,100],style=5)

xtitle('d8','rés.','%')


subplot(2,2,2)

plot2d(1:12,[z412,z612,z812,z1012,z1212],rect=[1,0,12,100])

xtitle('d12','rés.','%')

subplot(2,2,4)

xstring(0.5,0.8,'Légende')

xsegs([0,0,0,0.6,0.6 ; 0.1,0.1,0.1,0.7,0.7],...
[0.6,0.4,0.2,0.6,0.4 ; 0.6,0.4,0.2,0.6,0.4],...
1:5)
xstring(0.15,0.55,'d4')
xstring(0.15,0.35,'d6')
xstring(0.15,0.15,'d8')
xstring(0.75,0.55,'d10')
xstring(0.75,0.35,'d12')

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