// xcas version=0.6.0 fontsize=16 // fltk 7Fl_Tile 24 45 1636 449 16 [ // fltk N4xcas7EditeurE 24 45 1636 398 16 1076 , piece(essais):={ local S,k,P,j,H,m,M,s,p,h; S:=NULL;//une liste vide pour y mettre les max for(k:=1;k<=essais;k++){ // on boucle les essais s:=NULL; //une liste de nombre de résultats consécutifs égaux P:=mat2list(ranm(1,10,'rand(2)'));// 10 lancers de 0 ou 1 p:=0;//on commence à regarder le premier lancer while(p<9){//tant qu'on n'est pas au bout de la liste j:=p+1; //on regarde la suivant while (P[j]==P[p] and j<9){j:=j+1} //tant que le suivant est égal, on continue s:=s,j-p; // on enlève p car on a commencé à p+1 p:=j;//on va ensuite voir le prochain résultat différent } s:=SortD([s]); //on classe dans l'ordre décroissant les résultats h:=head(s); // on prend le premier de la liste : c'est le plus grand S:=S,h; //on le stocke dans une liste avant de refaire une série de 10 } H:=couleur(histogram([S]),jaune+rempli); m:=evalf(mean([S])); M:=couleur(moustache([S],y=-0.15..-0.05),bleu+rempli+line_width_4); //on place la boîte verticalement print("Sur "+essais+" séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est "+m);H,M; }:; , // fltk N4xcas10Log_OutputE 24 443 1636 36 16 // Parsing piece£// Warning: y declared as global variable(s) compiling piece£ , // fltk N4xcas8EquationE 24 479 1636 35 16 "Done" ] , // fltk 7Fl_Tile 24 496 1636 499 16 [ // fltk N4xcas19Multiline_Input_tabE 24 496 1636 24 16 piece(10000) , // fltk N4xcas10Log_OutputE 24 520 1636 48 16 "Sur 10000 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.5153"£Evaluation time: 23.35£ , // fltk 7Fl_Tile 24 568 1636 427 16 [ // fltk N4xcas7Graph2dE 24 568 1540 427 16 1,10,-0.125,0.3687,[[pnt(pnt[line[1.0,1.0+0.0038*(i),2.0+0.0038*(i),2.0,1.0],1073741827]),pnt(pnt[line[2.0,2.0+0.2112*(i),3.0+0.2112*(i),3.0,2.0],1073741827]),pnt(pnt[line[3.0,3.0+0.3687*(i),4.0+0.3687*(i),4.0,3.0],1073741827]),pnt(pnt[line[4.0,4.0+0.2294*(i),5.0+0.2294*(i),5.0,4.0],1073741827]),pnt(pnt[line[5.0,5.0+0.1065*(i),6.0+0.1065*(i),6.0,5.0],1073741827]),pnt(pnt[line[6.0,6.0+0.0454*(i),7.0+0.0454*(i),7.0,6.0],1073741827]),pnt(pnt[line[7.0,7.0+0.0233*(i),8.0+0.0233*(i),8.0,7.0],1073741827]),pnt(pnt[line[8.0,8.0+0.0079*(i),9.0+0.0079*(i),9.0,8.0],1073741827]),pnt(pnt[line[9.0,9.0+0.0038*(i),10.0+0.0038*(i),10.0,9.0],1073741827])],[pnt(pnt[group[1.0-0.1*(i),3.0-0.1*(i)],1073938436,""]),pnt(pnt[group[4.0-0.125*(i),3.0-0.125*(i),3.0-0.075*(i),4.0-0.075*(i),4.0-0.125*(i)],1073938436,""]),pnt(pnt[group[3.0-0.125*(i),3.0-0.075*(i)],1073938436,""]),pnt(pnt[group[4.0-0.1*(i),9.0-0.1*(i)],1073938436,""])]],-5,5,1,0,0,0,1,0.05,1,0,1,2.5625,0,0,1 , // fltk 7Fl_Tile 1564 568 96 427 16 [ // fltk N4xcas14Mouse_PositionE 1564 568 96 32 16 [] , // fltk 8Fl_Group 1564 600 96 95 16 [ // fltk 9Fl_Button 1564 600 32 19 16 [] , // fltk 9Fl_Button 1596 600 32 19 16 [] , // fltk 9Fl_Button 1628 600 31 19 16 [] , // fltk 9Fl_Button 1564 619 32 19 16 [] , // fltk 9Fl_Button 1596 619 32 19 16 [] , // fltk 9Fl_Button 1628 619 31 19 16 [] , // fltk 9Fl_Button 1564 638 32 19 16 [] , // fltk 9Fl_Button 1596 638 32 19 16 [] , // fltk 9Fl_Button 1628 638 31 19 16 [] , // fltk 9Fl_Button 1564 657 32 19 16 [] , // fltk 9Fl_Button 1596 657 32 19 16 [] , // fltk 9Fl_Button 1628 657 31 19 16 [] , // fltk 9Fl_Button 1564 676 32 19 16 [] , // fltk 11Fl_Menu_Bar 1596 676 63 19 16 [] ] , // fltk 8Fl_Group 1564 695 96 300 16 [ ] ] ] ] , // fltk 7Fl_Tile 24 997 1636 746 16 [ // fltk N4xcas6FigureE 24 997 1636 745 16 // fltk N4xcas12History_PackE 26 1019 773 900 16 [ // fltk 7Fl_Tile 37 1019 762 869 16 [ // fltk N4xcas19Multiline_Input_tabE 37 1019 762 26 16 animation(seq('piece(100*u)',u=1..50)) , // fltk N4xcas10Log_OutputE 37 1045 762 820 16 "Sur 100 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.43"£"Sur 200 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.47"£"Sur 300 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.48666666667"£"Sur 400 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.59"£"Sur 500 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.476"£"Sur 600 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.5"£"Sur 700 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51857142857"£"Sur 800 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.5575"£"Sur 900 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51"£"Sur 1000 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.556"£"Sur 1100 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.49909090909"£"Sur 1200 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51833333333"£"Sur 1300 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.54153846154"£"Sur 1400 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.50428571429"£"Sur 1500 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.514"£"Sur 1600 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.535625"£"Sur 1700 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.54411764706"£"Sur 1800 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.50277777778"£"Sur 1900 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.53684210526"£"Sur 2000 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.5005"£"Sur 2100 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.53761904762"£"Sur 2200 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51727272727"£"Sur 2300 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.52173913043"£"Sur 2400 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51916666667"£"Sur 2500 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.5416"£"Sur 2600 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51307692308"£"Sur 2700 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.52"£"Sur 2800 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.52571428571"£"Sur 2900 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51310344828"£"Sur 3000 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.53066666667"£"Sur 3100 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.52580645161"£"Sur 3200 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.52125"£"Sur 3300 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51484848485"£"Sur 3400 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.54"£"Sur 3500 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.522"£"Sur 3600 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51777777778"£"Sur 3700 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51810810811"£"Sur 3800 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51894736842"£"Sur 3900 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.53025641026"£"Sur 4000 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.531"£"Sur 4100 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51731707317"£"Sur 4200 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.52452380952"£"Sur 4300 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51953488372"£"Sur 4400 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.53"£"Sur 4500 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51977777778"£"Sur 4600 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.52565217391"£"Sur 4700 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.51872340426"£"Sur 4800 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.52375"£"Sur 4900 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.52591836735"£"Sur 5000 séries de 10 lancers, la moyenne du nombre maximal de résultats consécutifs égaux est 3.5166"£Evaluation time: 100.51£ , // fltk N4xcas10Gen_OutputE 37 1865 762 23 16 Too large for display ] , // fltk 7Fl_Tile 37 1890 762 27 16 [ // fltk N4xcas19Multiline_Input_tabE 37 1890 762 26 16 , // fltk N4xcas10Log_OutputE 37 1916 762 1 16 for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£for Bad Argument Value£ ] ] // fltk N4xcas5Geo2dE 817 1019 736 723 16 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, // fltk N4xcas10Log_OutputE 24 1742 1636 1 16 ] , // fltk 7Fl_Tile 24 1745 1636 27 16 [ // fltk N4xcas19Multiline_Input_tabE 24 1745 1636 26 16 , // fltk N4xcas10Log_OutputE 24 1771 1636 1 16 ]