{"id":2995,"date":"2017-04-24T21:16:35","date_gmt":"2017-04-24T20:16:35","guid":{"rendered":"http:\/\/mathsguyon.fr\/?page_id=2995"},"modified":"2018-05-15T15:56:10","modified_gmt":"2018-05-15T14:56:10","slug":"probabilites","status":"publish","type":"page","link":"https:\/\/mathsguyon.fr\/?page_id=2995","title":{"rendered":"Probabilit\u00e9s"},"content":{"rendered":"<h2>\u00a0<a href=\"http:\/\/mathsguyon.fr\/wp-content\/uploads\/2017\/04\/Proba-1ESL_trou.pdf\">Le cours \u00e0 trou<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"http:\/\/mathsguyon.fr\/wp-content\/uploads\/2017\/04\/Proba-ESLcomplet.pdf\">Le cours complet<\/a><\/h2>\n<h2 style=\"text-align: left;\"><a href=\"http:\/\/mathsguyon.fr\/wp-content\/uploads\/2017\/04\/PDT-hyperbole.pdf\">Plan de Travail<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 <a href=\"http:\/\/mathsguyon.fr\/wp-content\/uploads\/2017\/04\/PDT-hyperbole_corr2.pdf\">Correction partielle<\/a><\/h2>\n<p>&nbsp;<\/p>\n<h1 style=\"text-align: center;\"><span style=\"color: #800000;\">Les vid\u00e9os de cours :<\/span><\/h1>\n<hr \/>\n<p>Pour acc\u00e9der aux vid\u00e9os de cours, vous devez vous connecter \u00e0 la plateforme <a href=\"https:\/\/edpuzzle.com\">EdPuzzle.<\/a><\/p>\n<p>La premi\u00e8re fois, il faut s&rsquo;inscrire (<span style=\"color: #800000;\"><strong>Sign up<\/strong><\/span>) en haut \u00e0 droite, en donnant vos noms\/pr\u00e9noms\/username puis rejoindre votre classe (<strong><span style=\"color: #800000;\">join class<\/span><\/strong>) avec ce code : <span style=\"color: #800000;\"><strong>dofufeb<\/strong><\/span><\/p>\n<p>ou en cliquant <a href=\"https:\/\/edpuzzle.com\/join\/dofufeb\">ici<\/a> directement une fois que vous \u00eates inscrits.<\/p>\n<hr \/>\n<h2>\u00a0<a href=\"https:\/\/edpuzzle.com\/assignments\/5aec40a135f29740ddc749e3\/watch\">Vid\u00e9o 1<\/a> : D\u00e9finitions et notations de base en probabilit\u00e9s<\/h2>\n<h2 align=\"left\"><a href=\"https:\/\/edpuzzle.com\/assignments\/5aec43326b8cf740e35a3b80\/watch\">Vid\u00e9o 2<\/a> : Probabilit\u00e9s \u00e9l\u00e9mentaires<\/h2>\n<h2 align=\"left\"><a href=\"https:\/\/edpuzzle.com\/assignments\/5aec44b651434040d75bcfac\/watch\">Vid\u00e9o 3<\/a> : Probabilit\u00e9s et ensembles<\/h2>\n<h2 align=\"left\"><a href=\"https:\/\/edpuzzle.com\/assignments\/5af15eac5b63ed40d0daf9c7\/watch\">Vid\u00e9o 4<\/a> : Arbres pond\u00e9r\u00e9s<\/h2>\n<h2><a href=\"https:\/\/edpuzzle.com\/assignments\/5afaf19ba39fe941088284f9\/watch\">Vid\u00e9o 5 :<\/a> Variable al\u00e9atoire<\/h2>\n<h2><a href=\"https:\/\/edpuzzle.com\/assignments\/5afaf348a2228c41025b26fa\/watch\">Vid\u00e9o 6<\/a> : Loi de probabilit\u00e9<\/h2>\n<h2><a href=\"https:\/\/edpuzzle.com\/assignments\/5afaf4f7fea8ca40c91f8b61\/watch\">Vid\u00e9o 7<\/a> : Loi de probabilit\u00e9 d\u00e9termin\u00e9e par un arbre pond\u00e9r\u00e9<\/h2>\n<h2><a href=\"https:\/\/youtube.com\/embed\/FFo5CrDo5P0\">Vid\u00e9o 8<\/a> : Esp\u00e9rance d&rsquo;une variable al\u00e9atoire<\/h2>\n<h2><a href=\"https:\/\/youtube.com\/embed\/_LSpBGEdoxo\">Vid\u00e9o 9<\/a> : Calculer l&rsquo;esp\u00e9rance d&rsquo;une variable al\u00e9atoire \u00e0 la calculatrice<\/h2>\n<hr \/>\n<h2 style=\"text-align: center;\"><span style=\"color: #800000;\">Les vid\u00e9os sur Youtube, sans passer par EdPuzzle :<\/span><\/h2>\n<h3 style=\"text-align: center;\"><a href=\"https:\/\/youtube.com\/embed\/ZTYR1TCfgh0\">Vid\u00e9o 1<\/a> ;\u00a0<a href=\"https:\/\/youtube.com\/embed\/lTexCrnK8Zc\">Vid\u00e9o 2<\/a> ;\u00a0<a href=\"https:\/\/youtube.com\/embed\/oo0ynm8xs1U\">Vid\u00e9o 3<\/a> ; <a href=\"https:\/\/youtube.com\/embed\/ZTecbPji9fU\">Vid\u00e9o 4<\/a>\u00a0 ; <a href=\"https:\/\/youtube.com\/embed\/e-OUyPaFGos\">Vid\u00e9o 5<\/a>; <a href=\"https:\/\/youtube.com\/embed\/4HfNRYBjeHs\">Vid\u00e9o 6<\/a> ; <a href=\"https:\/\/youtube.com\/embed\/b-TVlwlltg8\">Vid\u00e9o 7<\/a> ; <a href=\"https:\/\/youtube.com\/embed\/FFo5CrDo5P0\">Vid\u00e9o 8<\/a> ; <a href=\"https:\/\/youtube.com\/embed\/_LSpBGEdoxo\">Vid\u00e9o 9<\/a><\/h3>\n<hr \/>\n<h1 style=\"text-align: center;\"><span style=\"color: #800000;\">Exercice corrig\u00e9s :<\/span><\/h1>\n<p style=\"text-align: center;\"><em>Merci \u00e0 Yvan Monka pour son travail<\/em><\/p>\n<h2><strong><span style=\"color: #800000;\">Exercice 1 :<\/span><\/strong><\/h2>\n<p><a href=\"https:\/\/youtube.com\/embed\/3DHWIXGPL2U\">QCM en vid\u00e9o<\/a><\/p>\n<h2><strong><span style=\"color: #800000;\">Exercice 2 :<\/span><\/strong><\/h2>\n<p>Soit l&rsquo;exp\u00e9rience al\u00e9atoire : \u00ab\u00a0On tire une carte dans un jeu de 32 cartes.\u00a0\u00bb On consid\u00e8re le jeu suivant :<\/p>\n<ul>\n<li>Si on tire un c\u0153ur, on gagne 2\u20ac.<\/li>\n<li>Si on tire un roi, on gagne 5\u20ac.<\/li>\n<li>Si on tire une autre carte, on perd 1\u20ac.<\/li>\n<\/ul>\n<p>On appelle X la variable al\u00e9atoire qui \u00e0 une carte tir\u00e9e associe un gain ou une perte.<\/p>\n<ol>\n<li>D\u00e9terminer la loi de probabilit\u00e9 de X.\u00a0\u00a0\u00a0\u00a0 <a href=\"https:\/\/youtube.com\/embed\/2Ge_4hclPnI\">Correction<\/a><\/li>\n<li>Calculer l&rsquo;esp\u00e9rance de la loi de probabilit\u00e9 de X et interpr\u00e9ter le r\u00e9sultat. \u00a0 \u00a0 \u00a0 <a href=\"https:\/\/youtube.com\/embed\/AcWVxHgtWp4\">Correction <\/a><\/li>\n<\/ol>\n<h2><span style=\"color: #800000;\"><strong>Exercice 3 :<\/strong><\/span><\/h2>\n<p>un sac contient 6 jetons num\u00e9rot\u00e9s 1; 5 jetons num\u00e9rot\u00e9s 2; 4 jetons num\u00e9rot\u00e9s 3; 3 jetons num\u00e9rot\u00e9s 4; 2 jetons num\u00e9rot\u00e9s 5 et un jeton num\u00e9rot\u00e9 6. On pioche au hasard un jeton du sac.<br \/>\nUn jeu est organis\u00e9 ainsi : Pour une mise de 3 \u20ac, on gagne autant d&rsquo;euros qu&rsquo;indiqu\u00e9 sur le jeton. On d\u00e9finit la variable al\u00e9atoire X donnant le gain d&rsquo;un joueur.<\/p>\n<ol>\n<li>\u00a0Montrer que X prend des valeurs entre -2 et 3<\/li>\n<li>D\u00e9terminer la loi de probabilit\u00e9 de X.<\/li>\n<li>Calculer l&rsquo;esp\u00e9rance de X et interpr\u00e9ter le r\u00e9sultat.<\/li>\n<\/ol>\n<p><a href=\"https:\/\/youtube.com\/embed\/_oPnmvYhJpI\">Correction en vid\u00e9o<\/a><\/p>\n<h2><span style=\"color: #800000;\"><strong>Exercice 4 :<\/strong><\/span><\/h2>\n<p>Une urne contient trois boules blanches et une boule noire. On tire, au hasard, des boules dans l&rsquo;urne, jusqu&rsquo;\u00e0 obtenir la boule noire. X est la variable al\u00e9atoire qui prend pour valeur la rang du tirage de la boule noire.<\/p>\n<ol>\n<li>\u00c9tablir un arbre de probabilit\u00e9s et calculer la probabilit\u00e9 d&rsquo;obtenir la boule noire au premier , deuxi\u00e8me, troisi\u00e8me et dernier tirage.<\/li>\n<li>Soit R la loi de probabilit\u00e9 qui d\u00e9termine le rang de la sortie de la boule noire. Calculer l&rsquo;esp\u00e9rance de R<\/li>\n<\/ol>\n<p><a href=\"https:\/\/youtube.com\/embed\/Lx4YF8nDwtM\">Correction en vid\u00e9o<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00a0Le cours \u00e0 trou\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Le cours complet Plan de Travail\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 Correction partielle &nbsp; Les vid\u00e9os de cours : Pour acc\u00e9der aux vid\u00e9os de cours, vous devez vous connecter \u00e0 la plateforme EdPuzzle. La premi\u00e8re fois, il faut s&rsquo;inscrire (Sign up) &hellip; <a href=\"https:\/\/mathsguyon.fr\/?page_id=2995\">Continuer la lecture <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":1104,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-2995","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/2995","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=2995"}],"version-history":[{"count":34,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/2995\/revisions"}],"predecessor-version":[{"id":4468,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/2995\/revisions\/4468"}],"up":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/1104"}],"wp:attachment":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2995"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}