{"id":302,"date":"2014-10-11T14:51:26","date_gmt":"2014-10-11T12:51:26","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/le-lancer-dun-de-truque-avec-r\/"},"modified":"2023-10-14T20:14:29","modified_gmt":"2023-10-14T18:14:29","slug":"le-lancer-dun-de-truque-avec-r","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/le-logiciel-r\/les-tirages-avec-r\/le-lancer-dun-de-truque-avec-r\/","title":{"rendered":"Le lancer d&rsquo;un d\u00e9 truqu\u00e9 avec R"},"content":{"rendered":"<h2>Pr\u00e9sentation<\/h2>\n<p>Un d\u00e9 est pip\u00e9 : le 6 tombe deux fois plus souvent qu&rsquo;une autre face.<\/p>\n<p>La probabilit\u00e9 du 6 est donc 2\/7 et d&rsquo;une autre face 1\/7.<\/p>\n<h2>Utilisation d&rsquo;un script<\/h2>\n<p>On se sert ici le l&rsquo;option <em>prob=<\/em> de la fonction <em>sample<\/em>.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"generic\">###################################################################################\n###################################################################################\n# Simulation du lancer d'un d\u00e9 truqu\u00e9\n# Le 6 a une probabilit\u00e9 double des autres faces\n###################################################################################\n###################################################################################\n\n\n# Liste des faces\nfaces&lt;-1:6\nprint(\"Liste des faces :\")\nprint(faces)\n\n#liste des probabilit\u00e9s des faces\nprobFaces&lt;-c(rep(1\/7,5),2\/7)\nprint(\"Liste des probabilit\u00e9s des faces\")\nprint(probFaces)\n\n# Taille de l'\u00e9chantillon\ntailleEchantillon&lt;-1000   #-----------------------------------A modidier\nprint(\"Taille de l'\u00e9chantillon\")\nprint(tailleEchantillon)\n\n# Cr\u00e9ation de l'\u00e9chantillon\nechantillon&lt;-sample(faces,tailleEchantillon,replace=TRUE,prob=probFaces)\n\n# Tableau des fr\u00e9quences\ntabEffectifs&lt;-table(echantillon)\nprint(\"Tableau des effectifs\")\nprint(tabEffectifs)\n\n# diagramme en b\u00e2tons des effectifs\nbarplot(tabEffectifs)\n\n\ntabFrequences&lt;-prop.table(tabEffectifs)\nprint(\"Tableau des fr\u00e9quences\")\nprint(tabFrequences)\n\n\ntitreEffectifs&lt;-paste(\"Lancer d'un d\u00e9 pip\u00e9\",\"\\n\",\n                      \"Taille de l'\u00e9chantillon : \",bquote(.(tailleEchantillon)))\n\nbarplot(tabEffectifs,ylim=c(0,2*tailleEchantillon\/5),las=1,col=\"blue\"\n        , xlab=\"Faces\",ylab=\"Effectifs\",\n        ,main=titreEffectifs)\n\nabline(a=tailleEchantillon\/7,b=0,lwd=1.5,col=\"grey\",lty=2)\nabline(a=2*tailleEchantillon\/7,b=0,lwd=1.5,col=\"grey\",lty=2)\n\n\n\n# diagramme en b\u00e2tons des fr\u00e9quences\ntitreFrequences&lt;-paste(\"Lancer d'un pip\u00e9\",\"\\n\",\n                       \"Taille de l'\u00e9chantillon : \",bquote(.(tailleEchantillon)))\n\nbarplot(tabFrequences,ylim=c(0,0.4),las=1,col=\"brown\"\n        , xlab=\"Faces\",ylab=\"Fr\u00e9quences\",\n        ,main=titreFrequences)\n\nabline(a=1\/7,b=0,lwd=1.5,col=\"grey\",lty=2)\nabline(a=2\/7,b=0,lwd=1.5,col=\"grey\",lty=2)<\/pre>\n<p>On obtient dans la console :<\/p>\n<p><code><br \/>\n[1] \"Liste des faces :\"<br \/>\n[1] 1 2 3 4 5 6<br \/>\n[1] \"Liste des probabilit\u00e9s des faces\"<br \/>\n[1] 0.1428571 0.1428571 0.1428571 0.1428571 0.1428571 0.2857143<br \/>\n[1] \"Taille de l'\u00e9chantillon\"<br \/>\n[1] 1000<br \/>\n[1] \"Tableau des effectifs\"<br \/>\nechantillon<br \/>\n1   2   3   4   5   6<br \/>\n126 162 134 141 148 289<br \/>\n[1] \"Tableau des fr\u00e9quences\"<br \/>\nechantillon<br \/>\n1     2     3     4     5     6<br \/>\n0.126 0.162 0.134 0.141 0.148 0.289<br \/>\n<\/code><\/p>\n<p>On obtient les graphiques suivants :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-917\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2014\/10\/png_lancer_de_truque_01.png\" alt=\"lancer_de_truque_01.png\" width=\"579\" height=\"360\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2014\/10\/png_lancer_de_truque_01.png 579w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2014\/10\/png_lancer_de_truque_01-300x187.png 300w\" sizes=\"auto, (max-width: 579px) 100vw, 579px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-918\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2014\/10\/png_lancer_de_truque-02.png\" alt=\"lancer_de_truque-02.png\" width=\"579\" height=\"360\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2014\/10\/png_lancer_de_truque-02.png 579w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2014\/10\/png_lancer_de_truque-02-300x187.png 300w\" sizes=\"auto, (max-width: 579px) 100vw, 579px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pr\u00e9sentation Un d\u00e9 est pip\u00e9 : le 6 tombe deux fois plus souvent qu&rsquo;une autre face. La probabilit\u00e9 du 6 est donc 2\/7 et d&rsquo;une autre face 1\/7. Utilisation d&rsquo;un&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2085,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-302","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Le lancer d&#039;un d\u00e9 truqu\u00e9 avec R - Maths &amp; Num\u00e9rique<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/wordpress.callac.online\/index.php\/logiciels-mathematiques\/le-logiciel-r\/les-tirages-avec-r\/le-lancer-dun-de-truque-avec-r\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Le lancer d&#039;un d\u00e9 truqu\u00e9 avec R - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Pr\u00e9sentation Un d\u00e9 est pip\u00e9 : le 6 tombe deux fois plus souvent qu&rsquo;une autre face. 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