{"id":190,"date":"2008-08-03T11:37:20","date_gmt":"2008-08-03T09:37:20","guid":{"rendered":"http:\/\/wordpress.callac.online\/index.php\/le-paquet-pro-probas\/"},"modified":"2023-10-14T20:12:20","modified_gmt":"2023-10-14T18:12:20","slug":"le-paquet-pro-probas","status":"publish","type":"page","link":"https:\/\/wordpress.callac.online\/index.php\/edition-mathematique\/professor\/les-paquets-de-professor-sty-2\/le-paquet-pro-probas\/","title":{"rendered":"Le paquet pro-probas"},"content":{"rendered":"<p>Cet outil a pour but de faciliter la r\u00e9daction de documents sur les <strong>probabilit\u00e9s<\/strong>.<\/p>\n<h2>Dans le pr\u00e9ambule<\/h2>\n<hr \/>\n<p>On rajoute ceci :<\/p>\n<p><code>\\usepackage[xcas]{pro-probas}<\/code><\/p>\n<h2>pro-arbre22<\/h2>\n<hr \/>\n<p>Cet environnement sert \u00e0 construire un arbre 2&#215;2.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-arbre22}{1}\n[\"G\",1\/5,\"F\"], \/\/ premier niveau\n[\"H\",1\/2,1\/3], \/\/ deuxieme niveau\n\/\/ ----------------- debut des options\n[\n[\"rien\"]\n]\n\/\/ ----------------- fin des options\n\\end{pro-arbre22}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-771\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba1.jpg\" alt=\"proba1.jpg\" width=\"434\" height=\"363\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba1.jpg 434w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba1-300x251.jpg 300w\" sizes=\"auto, (max-width: 434px) 100vw, 434px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_arbre22- i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-ana22<\/h2>\n<hr \/>\n<p>Cet environnement sert \u00e0 analyser un arbre 2&#215;2.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-ana22}{1}\n[\"G\",1\/5,\"F\"], \/\/premier niveau\n[\"H\",1\/2,1\/3] \/\/deuxieme niveau\n\\end{pro-ana22}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-772\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba2.jpg\" alt=\"proba2.jpg\" width=\"572\" height=\"532\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba2.jpg 572w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba2-300x279.jpg 300w\" sizes=\"auto, (max-width: 572px) 100vw, 572px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_ana22-i.tex, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-arbre32<\/h2>\n<hr \/>\n<p>Cet environnement sert \u00e0 construire un arbre 3&#215;2.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-arbre32}{1}\n[\"A\",1\/5,\"B\",1\/3,\"C\"], \/\/ premier niveau\n[\"H\",1\/2,1\/4,1\/5], \/\/ deuxieme niveau\n\/\/ ----------------- debut des options\n[\n[\"rien\"]\n]  \n\/\/ ----------------- fin des options\n\\end{pro-arbre32}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-773\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba3.jpg\" alt=\"proba3.jpg\" width=\"432\" height=\"487\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba3.jpg 432w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba3-266x300.jpg 266w\" sizes=\"auto, (max-width: 432px) 100vw, 432px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_arbre32- i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-ana32<\/h2>\n<hr \/>\n<p>Cet environnement sert \u00e0 analyser un arbre 3&#215;2.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-ana32}{1}\n[\"A\",1\/5,\"B\",1\/3,\"C\"], \/\/ premier niveau\n[\"H\",1\/2,1\/4,1\/5]  \/\/ deuxieme niveau\n\\end{pro-ana32}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-774\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba4.jpg\" alt=\"proba4.jpg\" width=\"712\" height=\"632\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba4.jpg 712w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba4-300x266.jpg 300w\" sizes=\"auto, (max-width: 712px) 100vw, 712px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_ana32-i.tex , la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-arbre23<\/h2>\n<hr \/>\n<p>Cet environnement sert \u00e0 construire un arbre 2&#215;3.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-arbre23}{1}\n[\"G\",1\/5,\"F\"], \/\/ premier niveau\n[\"A\",1\/5,1\/2,\"B\",1\/3,1\/3,\"C\"], \/\/ deuxieme niveau\n\/\/ ----------------- debut des options\n[\n[\"rien\"]\n]\n\/\/ ----------------- fin des options\n\\end{pro-arbre23}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-775\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba5.jpg\" alt=\"proba5.jpg\" width=\"433\" height=\"487\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba5.jpg 433w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba5-267x300.jpg 267w\" sizes=\"auto, (max-width: 433px) 100vw, 433px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_arbre23- i.mp , la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-ana23<\/h2>\n<hr \/>\n<p>Cet environnement sert \u00e0 analyser un arbre 2&#215;3.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-ana23}{1}\n[\"G\",1\/5,\"F\"], \/\/ premier niveau\n[\"A\",1\/5,1\/2,\"B\",1\/3,1\/3,\"C\"]  \/\/deuxieme niveau\n\\end{pro-ana23}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-776\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba6.jpg\" alt=\"proba6.jpg\" width=\"586\" height=\"767\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba6.jpg 586w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba6-229x300.jpg 229w\" sizes=\"auto, (max-width: 586px) 100vw, 586px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_ana23-i.tex, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-bernoulli<\/h2>\n<hr \/>\n<p>Cet environnement sert \u00e0 construire un sch\u00e9ma de Bernoulli.<\/p>\n<p>Dans ce premier exemple, il y a deux r\u00e9p\u00e9titions :<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-bernoulli}{1}\n[\"S\",1\/5,\"E\"],\n2,\n\/\/ ----------------- debut des options\n[\n[\"rien\"]   \n]\n\/\/ ----------------- fin des options\n\\end{pro-bernoulli}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-777\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba7.jpg\" alt=\"proba7.jpg\" width=\"426\" height=\"262\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba7.jpg 426w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba7-300x185.jpg 300w\" sizes=\"auto, (max-width: 426px) 100vw, 426px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_pro-bernoulli i.mp, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>pro-anabernoulli<\/h2>\n<hr \/>\n<p>Cet environnement sert \u00e0 analyser le sch\u00e9ma de Bernoulli associ\u00e9.<\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-anabernoulli}{1}\n[\"S\",1\/5,\"E\"],\n2\n\\end{pro-anabernoulli}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-778\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba8.jpg\" alt=\"proba8.jpg\" width=\"780\" height=\"293\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba8.jpg 780w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba8-300x113.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba8-768x288.jpg 768w\" sizes=\"auto, (max-width: 780px) 100vw, 780px\" \/><\/p>\n<p><span style=\"color: red;\"><br \/>\n<em>NB : le code source correspondant est enregistr\u00e9 dans le fichier : <\/em><\/span><\/p>\n<p><span style=\"color: red;\"><em>nomfichier_anabernoulli i.tex, la valeur i \u00e9tant donn\u00e9e en argument.<\/em><br \/>\n<\/span><\/p>\n<h2>Exemple avec 3 r\u00e9p\u00e9titions<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-bernoulli}{2}\n [\"S\",1\/5,\"E\"],\n 3,\n [                 \/\/ ----------------- debut des options\n [\"titre-gauche\",\"Schema de Bernoulli (3 niveaux)\"]\n ]                \/\/ ----------------- fin des options\n\\end{pro-bernoulli}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-779\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba9.jpg\" alt=\"proba9.jpg\" width=\"557\" height=\"440\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba9.jpg 557w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba9-300x237.jpg 300w\" sizes=\"auto, (max-width: 557px) 100vw, 557px\" \/><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-anabernoulli}{2}\n [\"S\",1\/5,\"E\"],\n 3\n\\end{pro-anabernoulli}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-780\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba10.jpg\" alt=\"proba10.jpg\" width=\"782\" height=\"286\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba10.jpg 782w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba10-300x110.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba10-768x281.jpg 768w\" sizes=\"auto, (max-width: 782px) 100vw, 782px\" \/><\/p>\n<h2>Exemple avec 4 r\u00e9p\u00e9titions<\/h2>\n<hr \/>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-bernoulli}{3}\n [\"S\",1\/5,\"E\"],\n 4,\n [                 \/\/ ----------------- debut des options\n [\"titre-gauche\",\"Schema de Bernoulli (4 niveaux)\"]\n ]                \/\/ ----------------- fin des options\n\\end{pro-bernoulli}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-781\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba11.jpg\" alt=\"proba11.jpg\" width=\"683\" height=\"784\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba11.jpg 683w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba11-261x300.jpg 261w\" sizes=\"auto, (max-width: 683px) 100vw, 683px\" \/><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"latex\">\\begin{pro-anabernoulli}{3}\n [\"S\",1\/5,\"E\"],\n 4\n\\end{pro-anabernoulli}<\/pre>\n<p>On obtient :<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\" aligncenter size-full wp-image-782\" src=\"http:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba12.jpg\" alt=\"proba12.jpg\" width=\"789\" height=\"283\" align=\"center\" srcset=\"https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba12.jpg 789w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba12-300x108.jpg 300w, https:\/\/wordpress.callac.online\/wp-content\/uploads\/2008\/08\/jpg_proba12-768x275.jpg 768w\" sizes=\"auto, (max-width: 789px) 100vw, 789px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cet outil a pour but de faciliter la r\u00e9daction de documents sur les probabilit\u00e9s. Dans le pr\u00e9ambule On rajoute ceci : \\usepackage[xcas]{pro-probas} pro-arbre22 Cet environnement sert \u00e0 construire un arbre&hellip;<\/p>\n","protected":false},"author":1,"featured_media":0,"parent":2247,"menu_order":2,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-190","page","type-page","status-publish","hentry"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.1.1 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Le paquet pro-probas - 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\/edition-mathematique\/professor\/les-paquets-de-professor-sty-2\/le-paquet-pro-probas\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Le paquet pro-probas - Maths &amp; Num\u00e9rique\" \/>\n<meta property=\"og:description\" content=\"Cet outil a pour but de faciliter la r\u00e9daction de documents sur les probabilit\u00e9s. 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