{"id":258511,"date":"2023-05-30T09:00:00","date_gmt":"2023-05-30T07:00:00","guid":{"rendered":"https:\/\/sherpas.com\/blog\/?p=258511"},"modified":"2025-05-20T13:44:47","modified_gmt":"2025-05-20T11:44:47","slug":"probabilites-maths","status":"publish","type":"post","link":"https:\/\/sherpas.com\/blog\/probabilites-maths\/","title":{"rendered":"Probabilit\u00e9s : d\u00e9finition, notions, formules \ud83e\uddee"},"content":{"rendered":"\n<p>Tu souhaites calculer tes chances de r\u00e9ussir ton prochain contr\u00f4le de maths ? Eh bien, sache qu\u2019avec cette fiche de cours, ta note risque de bien augmenter. Aujourd\u2019hui, on t\u2019apprend les bases d\u2019un th\u00e8me cl\u00e9 en math\u00e9matiques : <strong>les probabilit\u00e9s !<\/strong> Tu es pr\u00eat ? C\u2019est parti !&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"220\" height=\"148\" src=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/image-177.gif\" alt=\"Quand tu calcules des probabilit\u00e9s ! \" class=\"wp-image-258512\" style=\"width:379px;height:255px\"\/><figcaption class=\"wp-element-caption\"><em>Quand tu calcules ta probabilit\u00e9 de r\u00e9ussir ton ann\u00e9e sans les Sherpas !&nbsp;<\/em><\/figcaption><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\">Les probabilit\u00e9s, c\u2019est quoi ?&nbsp;\ud83d\udc40<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">D\u00e9finition&nbsp;\ud83d\udcd6<\/h3>\n\n\n\n<p>Les probabilit\u00e9s sont une branche des math\u00e9matiques qui \u00e9tudient les <strong>ph\u00e9nom\u00e8nes al\u00e9atoires<\/strong>.<\/p>\n\n\n\n<p>Ce sont les <strong>chances qu&#8217;un \u00e9v\u00e9nement se produise.<\/strong><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Notions \u00e0 conna\u00eetre&nbsp;\ud83d\udcdc<\/h3>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/media.giphy.com\/media\/8vOF5hcAuSa6BkBWFD\/giphy.gif\" alt=\"Quand tu prends des notes sur les probas ! \" style=\"width:361px;height:361px\"\/><figcaption class=\"wp-element-caption\"><em>Prends des notes !<\/em><\/figcaption><\/figure><\/div>\n\n\n<p>\ud83d\udccc Exp\u00e9rience al\u00e9atoire : exp\u00e9rience qui d\u00e9pend du hasard, mais dont les r\u00e9sultats possibles sont connus.&nbsp;<\/p>\n\n\n\n<p>\u21aa\ufe0f Exemple : lancer un d\u00e9 non pip\u00e9&nbsp;<\/p>\n\n\n\n<p>\ud83d\udccc L\u2019univers ou l\u2019espace des possibles : l\u2019ensemble de tous les r\u00e9sultats possibles d\u2019une exp\u00e9rience al\u00e9atoire. <\/p>\n\n\n<p>Il est not\u00e9 <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-ffcc6ca4cbe68c6f4237bab250a62b47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#79;&#109;&#101;&#103;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/>.<\/p>\n\n\n\n<p>\u21aa\ufe0f Exemple : si on garde l\u2019exemple du lancer de d\u00e9 non pip\u00e9, l\u2019espace des possibles est :&nbsp;<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-c9d056d09022ca19be2be97ea3a03b39_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#79;&#109;&#101;&#103;&#97;&#61;&#123;&#49;&#44;&#32;&#50;&#44;&#32;&#51;&#44;&#32;&#52;&#44;&#32;&#53;&#44;&#32;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"129\" style=\"vertical-align: -4px;\"\/><\/p>\n\n\n\n<p>\ud83d\udccc \u00c9v\u00e9nement : un sous-ensemble de l&#8217;espace des possibles. On le note par une lettre majuscule.&nbsp;<\/p>\n\n\n\n<p>\u21aa\ufe0f Exemple : toujours avec notre lancer de d\u00e9, l\u2019\u00e9v\u00e9nement A est \u201cobtenir un nombre impair\u201d<\/p>\n\n\n\n<p>A={1, 3, 5}<\/p>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><\/div>\n                        <div class=\"you-know__text\">\n            <ul style=\"list-style: none;\">\n<li>\ud83d\udc49 \u00c9v\u00e9nement \u00e9l\u00e9mentaire : une seule issue<\/li>\n<li>\ud83d\udc49 \u00c9v\u00e9nement impossible : irr\u00e9alisable<\/li>\n<li>\ud83d\udc49 \u00c9v\u00e9nement certain : toutes les issues<\/li>\n<li>\ud83d\udc49 \u00c9v\u00e9nement contraire de A : tout sauf l&#8217;\u00e9v\u00e9nement A<\/li>\n<\/ul>\n\n        <\/div>\n              <\/section>\n\n\n\n<p>\ud83d\udccc Nombre d\u2019\u00e9l\u00e9ments dans un \u00e9v\u00e9nement : on note <em>card<\/em> de l\u2019\u00e9v\u00e9nement.&nbsp;<\/p>\n\n\n\n<p>\u21aa\ufe0f Exemple : encore et toujours avec notre lancer de d\u00e9, l\u2019\u00e9v\u00e9nement A est \u201cobtenir un nombre impair\u201d<\/p>\n\n\n\n<p>A={1, 3, 5} \u2192 l\u2019\u00e9v\u00e9nement A contient 3 \u00e9l\u00e9ments donc card(A)=3&nbsp;<\/p>\n\n\n<p>\ud83d\udccc L\u2019\u00e9v\u00e9nement <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-2e36e0f95011a94c3a8466658d9be75a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#92;&#99;&#117;&#112;&#123;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"47\" style=\"vertical-align: 0px;\"\/> ou A union B : la r\u00e9alisation de A ou de B ou des deux simultan\u00e9ment. <\/p>\n<p>\ud83d\udccc L\u2019\u00e9v\u00e9nement <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-7c94e7225b81414b6215a6e36f0e46e7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#65;&#92;&#99;&#97;&#112;&#123;&#66;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"47\" style=\"vertical-align: 0px;\"\/> ou A inter B : la r\u00e9alisation de A et de B<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Propri\u00e9t\u00e9s \ud83e\udd14<\/h3>\n\n\n<p>La probabilit\u00e9 d\u2019un \u00e9v\u00e9nement A, not\u00e9 P(A), est la somme des probabilit\u00e9s des \u00e9v\u00e8nements qui le composent \u2192 <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0faf138a0699d9324e662bab63877f3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#48;&#92;&#108;&#101;&#113;&#123;&#80;&#40;&#65;&#41;&#125;&#92;&#108;&#101;&#113;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"105\" style=\"vertical-align: -5px;\"\/><\/p>\n<p>Un \u00e9v\u00e9nement certain a une probabilit\u00e9 qui vaut 1 \u2192 <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3b25b780d62d4650bc3d86968ff64906_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#92;&#79;&#109;&#101;&#103;&#97;&#41;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"\/><\/p>\n<p>Un \u00e9v\u00e9nement impossible a une probabilit\u00e9 qui vaut 0 \u2192 <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-a636262a199f48fa102f444def29b549_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#92;&#112;&#104;&#105;&#41;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"71\" style=\"vertical-align: -5px;\"\/><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Formules&nbsp;\ud83e\udd13<\/h3>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-175fc624889e891a1e7a5d1c95c6d433_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#99;&#97;&#114;&#100;&#65;&#41;&#125;&#123;&#99;&#97;&#114;&#100;&#40;&#92;&#79;&#109;&#101;&#103;&#97;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"115\" style=\"vertical-align: -10px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-b5749c58af61d38a26f47fb6500aae1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#92;&#99;&#97;&#112;&#123;&#66;&#125;&#41;&#61;&#80;&#40;&#65;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#80;&#95;&#65;&#40;&#66;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"178\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-402127d145a155412abe4731c96e9af8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#92;&#99;&#117;&#112;&#123;&#66;&#125;&#41;&#61;&#80;&#40;&#65;&#41;&#43;&#80;&#40;&#66;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"202\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-de1e54d24e462506daf408ef2318fdc3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#92;&#99;&#117;&#112;&#123;&#66;&#125;&#41;&#61;&#80;&#40;&#65;&#41;&#43;&#80;&#40;&#66;&#41;&#45;&#80;&#40;&#65;&#92;&#99;&#97;&#112;&#123;&#66;&#125;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -5px;\"\/> si A et B sont possibles<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-da3322e4a7add4f993c0f88d83ac4907_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#95;&#65;&#40;&#66;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#80;&#40;&#65;&#92;&#99;&#97;&#112;&#123;&#66;&#125;&#41;&#125;&#123;&#80;&#40;&#65;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"128\" style=\"vertical-align: -10px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-6b5f4ed63dce6787f611c6b5cfda199d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#92;&#98;&#97;&#114;&#123;&#65;&#125;&#41;&#61;&#49;&#45;&#80;&#40;&#65;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"135\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3dca1b1598828213bdd03db6830c64e6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#41;&#61;&#80;&#40;&#65;&#92;&#99;&#97;&#112;&#123;&#66;&#125;&#41;&#43;&#80;&#40;&#65;&#92;&#99;&#97;&#112;&#123;&#92;&#98;&#97;&#114;&#123;&#66;&#125;&#125;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"235\" style=\"vertical-align: -5px;\"\/><\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Probabilit\u00e9s conditionnelles et ind\u00e9pendance&nbsp;\ud83e\uddd0<\/h2>\n\n\n<p>La probabilit\u00e9 conditionnelle de l&#8217;\u00e9v\u00e9nement A sachant l&#8217;\u00e9v\u00e9nement B, not\u00e9e P(A|B) ou <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-0663e8f97ac2bd7fc951c7c1246a22c0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#95;&#123;&#65;&#125;&#40;&#66;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"50\" style=\"vertical-align: -5px;\"\/>, repr\u00e9sente la probabilit\u00e9 que A se produise sachant que B s&#8217;est d\u00e9j\u00e0 produit.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-fe7a8272895e559c1812cd05f751c77b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#95;&#123;&#65;&#125;&#40;&#66;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#80;&#40;&#65;&#92;&#99;&#97;&#112;&#123;&#66;&#125;&#41;&#125;&#123;&#80;&#40;&#65;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"29\" width=\"128\" style=\"vertical-align: -10px;\"\/><\/p>\n\n\n\n<p>Les \u00e9v\u00e9nements A et B sont ind\u00e9pendants si et seulement si :&nbsp;<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-78cfb6e8f28161999607e21969b572f8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#92;&#99;&#97;&#112;&#123;&#66;&#125;&#41;&#61;&#80;&#40;&#65;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#80;&#40;&#66;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"202\" style=\"vertical-align: -5px;\"\/><\/p>\n<p>et donc : <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-4a4de58d79d60fbaff581179796a23df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#95;&#123;&#65;&#125;&#40;&#66;&#41;&#61;&#80;&#40;&#65;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"114\" style=\"vertical-align: -5px;\"\/><\/p>\n\n\n<p>Pour savoir si les \u00e9v\u00e9nements A et B sont ind\u00e9pendants, il faut calculer <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-fc4561f5a217443ee568403a08652163_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#92;&#99;&#97;&#112;&#123;&#66;&#125;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"\/> et <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-cf0f2fe8f082bcad03701f38db7e41aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#80;&#40;&#66;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" style=\"vertical-align: -5px;\"\/>.<\/p>\n\n\n\n<p>S&#8217;ils sont \u00e9gaux, alors, ils sont ind\u00e9pendants. S\u2019ils sont diff\u00e9rents, alors ils sont d\u00e9pendants.\u00a0<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"500\" height=\"281\" src=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/image-179.gif\" alt=\"Quand des \u00e9v\u00e9nements sont ind\u00e9pendants !\" class=\"wp-image-258524\"\/><figcaption class=\"wp-element-caption\"><em>Quand l\u2019\u00e9v\u00e9nement A n\u2019a pas besoin de l\u2019\u00e9v\u00e9nement B !<\/em><\/figcaption><\/figure><\/div>\n\n\n<h2 class=\"wp-block-heading\">Variable al\u00e9atoire et loi de probabilit\u00e9&nbsp;\ud83e\udd14<\/h2>\n\n\n<p>Une variable al\u00e9atoire est une application X de <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-ffcc6ca4cbe68c6f4237bab250a62b47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#79;&#109;&#101;&#103;&#97;\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"12\" style=\"vertical-align: 0px;\"\/>. C\u2019est un peu abstrait, mais avec une application concr\u00e8te, tu vas mieux comprendre.<\/p>\n\n\n<section class=\"you-know\">\n                <div class=\"you-know__title\"><p>\ud83d\udca1 Le savais-tu ? <\/p>\n<\/div>\n                        <div class=\"you-know__text\">\n            <p>Une variable al\u00e9atoire est dite \u201cdiscr\u00e8te\u201d quand l&#8217;ensemble des valeurs qu&#8217;elle peut prendre est fini ou d\u00e9nombrable.<\/p>\n<p>&nbsp;<\/p>\n<p>Exemples :<\/p>\n<p>&nbsp;<\/p>\n<p>Un lancer de d\u00e9 car il ne peut prendre que 6 valeurs : 1, 2, 3, 4, 5, 6.<\/p>\n<p>&nbsp;<\/p>\n<p>Pile ou face car il ne peut prendre que 2 valeurs : pile, face.<\/p>\n\n        <\/div>\n              <\/section>\n\n\n\n<p>Tu lances un d\u00e9, si tu tombes sur 1 ou 2 tu perds 2 points, si tu tombes sur 3 ou 4, tu as 0 points et si tu tombes sur 5 ou 6, tu gagnes 5 points.&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full\"><img decoding=\"async\" width=\"480\" height=\"304\" src=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/image-180.gif\" alt=\"Quand tu calcules ta probabilit\u00e9 d'avoir un deux 6 ! \" class=\"wp-image-258525\"\/><\/figure><\/div>\n\n<p>On peut alors d\u00e9finir une loi de probabilit\u00e9, c\u2019est-\u00e0-dire la probabilit\u00e9 d\u2019obtenir chacune des valeurs de X que l\u2019on note <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-c8700e0258243116de0d4f288e2e3b44_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#105;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"\/>. Ici on a <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-01a7b7b5dca66cb33a1207e1f39c1140_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"16\" style=\"vertical-align: -3px;\"\/>, <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-f1cd6be340b4fce14489cf5b565a169e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"\/> et <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-f68f8a27fff8dae071cf74e8fa42e735_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#95;&#51;\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-823942970114219230bbd1917d00b4b0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#88;&#61;&#120;&#95;&#49;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"\/> est la probabilit\u00e9 d\u2019obtenir 1 ou 2 au lancer de d\u00e9<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-52d55c9f4ee877d7c33fa445f203c390_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#88;&#61;&#120;&#95;&#50;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"\/> est la probabilit\u00e9 d\u2019obtenir 3 ou 4 au lancer de d\u00e9<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-ef9e6b002943b3a1e1382fa49e54db80_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#88;&#61;&#120;&#95;&#51;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"84\" style=\"vertical-align: -5px;\"\/> est la probabilit\u00e9 d\u2019obtenir 5 ou 6 au lancer de d\u00e9<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-cde57054a07d4afb52475f00dcdec0c6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#88;&#61;&#120;&#95;&#49;&#41;&#61;&#80;&#40;&#88;&#61;&#45;&#50;&#41;&#61;&#80;&#40;&#123;&#49;&#59;&#50;&#125;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#54;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"343\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-40e7230d7e283fb827b6f4321646dc5c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#88;&#61;&#120;&#95;&#50;&#41;&#61;&#80;&#40;&#88;&#61;&#48;&#41;&#61;&#80;&#40;&#51;&#59;&#52;&#125;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#54;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"329\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-a81048977dc6f61762535b98e1ffee0c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#88;&#61;&#120;&#95;&#51;&#41;&#61;&#80;&#40;&#88;&#61;&#53;&#41;&#61;&#80;&#40;&#123;&#53;&#59;&#54;&#125;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#54;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"329\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>Pour r\u00e9sumer :&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1270\" height=\"242\" src=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?func=bound&amp;w=1024&amp;h=242\" alt=\"\" class=\"wp-image-258528\" style=\"width:688px;height:130px\" srcset=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=1270 1270w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=300 300w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=1024 1024w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=768 768w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=200 200w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=396 396w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=288 288w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=610 610w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=265 265w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.17.26.png?q=90&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 1270px) 100vw, 1270px\" \/><\/figure>\n\n\n\n<p>Si tu as besoin d\u2019aide, n\u2019h\u00e9site pas \u00e0 <a href=\"https:\/\/sherpas.com\/cours\/maths\" data-type=\"link\" data-id=\"https:\/\/sherpas.com\/cours\/maths\">prendre des cours de probabilit\u00e9s<\/a> avec un de nos Sherpas !&nbsp;<\/p>\n\n\n<section class=\"read-also\">\n    <p class=\"read-also__title\">\u00c0 lire aussi<\/p>\n            <div class=\"read-also__list\">\n            <p>\u2705 D\u00e9couvre notre <a href=\"https:\/\/sherpas.com\/blog\/calcul-pourcentage\/\">fiche de maths sur le calcul des pourcentages<\/a> !<\/p>\n\n        <\/div>\n    <\/section>\n\n\n<section class=\"push \">\n        <div >\n            \n                                                <div class=\"push__container  qcd\" data-target=\"_self\" data-qcd=\"aHR0cHM6Ly9zaGVycGFzLmNvbS9wcm9mZXNzZXVycz9zaWdudXA9dHJ1ZQ==\" data-banner=\"2\" data-name=\"Cours part&amp;#8217; global #1 = CPG1\" style=\"background-color: #F3FBF7\" >\n                                                                        <div class=\"push__teachers\">\n    <div class=\"d-flex justify-content-center d-md-none\">\n        <img decoding=\"async\" class=\"push__logo\" src=\"\/content\/themes\/sherpas-theme\/dist\/images\/logo.svg\" alt=\"Logo Sherpas\">\n    <\/div>\n    <div class=\"swiper\">\n        <div class=\"swiper-wrapper\">\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/sherpas.com\/content\/uploads\/2022\/01\/Emma2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Emma<\/p>                          <p class=\"push__teachers-school\">Dauphine<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">15\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/sherpas.com\/content\/uploads\/2022\/01\/Jeanne2x.jpg);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Jeanne<\/p>                          <p class=\"push__teachers-school\">Aix-Marseille Universit\u00e9<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">17\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/sherpas.com\/content\/uploads\/2022\/01\/Louise2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Louise<\/p>                          <p class=\"push__teachers-school\">Mines ParisTech<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">24\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/sherpas.com\/content\/uploads\/2022\/01\/Nicolas2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Nicolas<\/p>                          <p class=\"push__teachers-school\">CentraleSup\u00e9lec<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">17\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/sherpas.com\/content\/uploads\/2022\/01\/Fanny2x.jpg);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Fanny<\/p>                          <p class=\"push__teachers-school\">Ponts ParisTech<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">19\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/sherpas.com\/content\/uploads\/2022\/01\/Hugo2x.jpg);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Hugo<\/p>                          <p class=\"push__teachers-school\">Insa Lyon<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">16\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/sherpas.com\/content\/uploads\/2022\/01\/Olivier2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Olivier<\/p>                          <p class=\"push__teachers-school\">La Sorbonne<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">13\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                                            <div class=\"swiper-slide\">\n                    <div class=\"push__teachers-card\">\n                        <div\n                            class=\"push__teachers-profil\"\n                            \n                            style=\"background-image: url(https:\/\/sherpas.com\/content\/uploads\/2022\/01\/Fabien2x.png);\"\n                        >\n                    <\/div>\n                         <p class=\"push__teachers-name\">Fabien<\/p>                          <p class=\"push__teachers-school\">T\u00e9l\u00e9com Paris<\/p>                                                     <div class=\"push__teachers-note\">\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                                    <svg  class=\"active\" >\n                                        <use\n                                            xlink:href=\"\/content\/themes\/sherpas-theme\/dist\/images\/sprite.svg#star\"\/>\n                                    <\/svg>\n                                                            <\/div>\n                                                 <p class=\"push__teachers-price\">20\u20ac\/h<\/p>                     <\/div>\n                <\/div>\n                    <\/div>\n    <\/div>\n<\/div>\n                                                    <div class=\"push__content\">\n                                                            <div  class=\"d-none d-md-block\" >\n                                    <img decoding=\"async\" class=\"push__logo\" src=\"\/content\/themes\/sherpas-theme\/dist\/images\/logo.svg\"\n                                        alt=\"Logo Sherpas\">\n                                <\/div>\n                                                                                        <div class=\"push__title\"><p>Ton premier cours particulier est offert ! <span role=\"img\" aria-label=\"\ud83c\udf81\">\ud83c\udf81<\/span><!-- notionvc: 91b6b7d7-50f2-46f4-ae1f-ecbabe834aad --><\/p>\n<\/div>\n                                                                                        <div class=\"push__text\"><p>Nos profs sont pass\u00e9s par les meilleures \u00e9coles et universit\u00e9s.<!-- notionvc: 21bb66b6-b36d-4ce8-8950-173722d75a1e --><\/p>\n<p>&nbsp;<\/p>\n<\/div>\n                                                        <div class=\"push__promo-button   \">\n                                                                                                    <div\n                                        class=\"btn btn-primary\"\n                                        style=\"color: #ffffff; border-color: ; background-color: \"\n\n                                    >\n                                        J&#8217;EN PROFITE MAINTENANT !\n                                    <\/div>\n                                                            <\/div>\n                                                    <\/div>\n                                    <\/div>\n                                    <\/div>\n    <\/section>\n\n\n\n<h2 class=\"wp-block-heading\">Exercices&nbsp;\u270d\ufe0f<\/h2>\n\n\n\n<p>Maintenant, place \u00e0 la pratique !&nbsp;<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img decoding=\"async\" src=\"https:\/\/media.giphy.com\/media\/xT1R9OjULupmPq73Vu\/giphy.gif\" alt=\"Exercices de probabilit\u00e9s ! \"\/><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">Exercice 1<\/h3>\n\n\n\n<p>Tu tires au hasard dans un paquet de 52 cartes.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Calcule la probabilit\u00e9 d\u2019avoir un roi.&nbsp;<\/li>\n\n\n\n<li>Calcule la probabilit\u00e9 d\u2019avoir la dame de c\u0153ur ou le 7 de pique.&nbsp;<\/li>\n<\/ol>\n\n\n\n<h3 class=\"wp-block-heading\">Exercice 2&nbsp;<\/h3>\n\n\n\n<p>Tu vas au restaurant.&nbsp;<\/p>\n\n\n\n<p>Tu as 60% de chance de choisir le burger et 40% de choisir la salade. On note P(B) la probabilit\u00e9 de choisir le burger et P(S) la probabilit\u00e9 de choisir la salade.&nbsp;<\/p>\n\n\n\n<p>Si tu choisis le burger, tu as 20% de chance de prendre un dessert.<\/p>\n\n\n\n<p>Si tu choisis la salade, tu as 90% de chance de prendre un dessert.&nbsp;<\/p>\n\n\n\n<p>On note P(D) la probabilit\u00e9 de prendre un dessert.&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li>La probabilit\u00e9 de prendre un burger et un dessert sont-ils ind\u00e9pendants ?&nbsp;<\/li>\n\n\n\n<li>Calcule la probabilit\u00e9 de prendre une salade et pas de dessert.&nbsp;<\/li>\n<\/ol>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><img decoding=\"async\" src=\"https:\/\/media.giphy.com\/media\/IgOEWPOgK6uVa\/giphy.gif\" alt=\"Ta probabilit\u00e9 de prendre un burger ! \"\/><figcaption class=\"wp-element-caption\"><em>Sa-QUOI?<\/em><\/figcaption><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">Exercice 3&nbsp;<\/h3>\n\n\n\n<p>On lance 2 fois une pi\u00e8ce de monnaie. On d\u00e9signe X comme \u00e9tant la variable al\u00e9atoire repr\u00e9sentant le nombre de face obtenus. D\u00e9termine la loi de probabilit\u00e9 de X.&nbsp;<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Corrections&nbsp;\ud83d\udcaf<\/h2>\n\n\n\n<h3 class=\"wp-block-heading\">Correction 1<\/h3>\n\n\n\n<p>1. Si tu as d\u00e9j\u00e0 jou\u00e9 aux cartes, tu sais que dans un jeu, il y a 4 rois (le roi de c\u0153ur, le roi de carreau, le roi de pique et le roi de tr\u00e8fle).&nbsp;<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><\/li>\n<\/ol>\n\n\n\n<p>On note P(A) la probabilit\u00e9 de tirer un roi.&nbsp;<\/p>\n\n\n<p>La formule est : <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-ebb637e93551af534d1af9745d90e190_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#99;&#97;&#114;&#100;&#123;&#65;&#125;&#125;&#123;&#99;&#97;&#114;&#100;&#123;&#92;&#79;&#109;&#101;&#103;&#97;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"23\" width=\"105\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-e1f33fc7a1f918466328ed0a1f610bcd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#65;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#53;&#50;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#49;&#51;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"122\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>Tu as donc une chance sur 13 de tomber sur un roi.&nbsp;<\/p>\n\n\n\n<p>2. Il y a une dame de c\u0153ur et un 7 de pique dans un jeu de cartes.&nbsp;<\/p>\n\n\n\n<p>On note P(B) la probabilit\u00e9 de tirer la dame de c\u0153ur et P(C) la probabilit\u00e9 de tirer le 7 de pique. On applique la formule suivante :&nbsp;<\/p>\n\n\n<p>P(B\\cup{C})=P(B)+P(C)<\/p>\n\n\n<p>\u26a0\ufe0f Attention ! Vu que tu tires une seule carte, B et C ensemble ne sont pas possible. Si tu avais tir\u00e9 deux cartes simultan\u00e9ment tu aurais choisi la formule suivante : <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-b89d4e2ffc12ec316799172d5d88c153_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#92;&#99;&#117;&#112;&#123;&#67;&#125;&#41;&#61;&#80;&#40;&#66;&#41;&#43;&#80;&#40;&#67;&#41;&#45;&#80;&#40;&#66;&#92;&#99;&#97;&#112;&#123;&#67;&#125;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"301\" style=\"vertical-align: -5px;\"\/><\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-93320e28a58f1182bc6682c93d5e7193_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"82\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-29188ac625826013ecb98ad3e7dee815_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#67;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"81\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3659f88a978abf0e1ddcba1bc83569ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#92;&#99;&#117;&#112;&#123;&#67;&#125;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#50;&#125;&#43;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#53;&#50;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#53;&#50;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"237\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" width=\"200\" height=\"200\" src=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/image-182.gif\" alt=\"Ta probabilit\u00e9 d'avoir un As de carreau ! \" class=\"wp-image-258532\" style=\"width:314px;height:314px\"\/><figcaption class=\"wp-element-caption\"><em>On ne l\u2019avait pas pr\u00e9vue celle-l\u00e0 !<\/em><\/figcaption><\/figure><\/div>\n\n\n<h3 class=\"wp-block-heading\">Correction 2<\/h3>\n\n\n\n<p>Pour cet exercice, le mieux est de te faire un arbre pour bien visualiser les probabilit\u00e9s.&nbsp;<\/p>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img decoding=\"async\" width=\"742\" height=\"662\" src=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.29.05.png\" alt=\"\" class=\"wp-image-258534\" style=\"width:325px;height:290px\" srcset=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.29.05.png?q=90&amp;org_if_sml=1&amp;w=742 742w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.29.05.png?q=90&amp;org_if_sml=1&amp;w=300 300w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.29.05.png?q=90&amp;org_if_sml=1&amp;w=140 140w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.29.05.png?q=90&amp;org_if_sml=1&amp;w=305 305w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.29.05.png?q=90&amp;org_if_sml=1&amp;w=288 288w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.29.05.png?q=90&amp;org_if_sml=1&amp;w=416 416w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.29.05.png?q=90&amp;org_if_sml=1&amp;w=265 265w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.29.05.png?q=90&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 742px) 100vw, 742px\" \/><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>On sait que si les \u00e9v\u00e9nements B et D sont ind\u00e9pendants alors :&nbsp;&nbsp;<\/li>\n<\/ol>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-84a04711e52cc200624853a42826897b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#92;&#99;&#97;&#112;&#123;&#68;&#125;&#41;&#61;&#80;&#40;&#66;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#80;&#40;&#68;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"171\" style=\"vertical-align: -5px;\"\/><\/p>\n<p>Tu dois alors calculer <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-58d284af442c0d13e856108054f83616_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#92;&#99;&#97;&#112;&#123;&#68;&#125;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"76\" style=\"vertical-align: -5px;\"\/> et <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-e32a1474cb7eeb30996b2a9d22b9542e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#80;&#40;&#68;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"70\" style=\"vertical-align: -5px;\"\/> s\u00e9par\u00e9ment <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-b1d61183558246eea4f82cc9e11bb628_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#92;&#99;&#97;&#112;&#123;&#68;&#125;&#41;&#61;&#48;&#44;&#54;&#92;&#116;&#105;&#109;&#101;&#115;&#48;&#44;&#50;&#61;&#48;&#44;&#49;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"231\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-416fceb841f83a8f4d1c6c7357fd52db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#41;&#61;&#48;&#44;&#54;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"91\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-4017fe1dffa271379418128757570c92_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#68;&#41;&#61;&#48;&#44;&#54;&#92;&#116;&#105;&#109;&#101;&#115;&#48;&#44;&#50;&#43;&#48;&#44;&#52;&#92;&#116;&#105;&#109;&#101;&#115;&#48;&#44;&#57;&#61;&#48;&#44;&#52;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"292\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-3bd2daf34912e145cac90c3291082a57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#80;&#40;&#68;&#41;&#125;&#61;&#48;&#44;&#54;&#92;&#116;&#105;&#109;&#101;&#115;&#48;&#44;&#52;&#56;&#61;&#48;&#44;&#50;&#56;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"279\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-26918e2995d4e9ca29a1d1588c2782df_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#66;&#92;&#99;&#97;&#112;&#123;&#68;&#125;&#41;&#92;&#110;&#101;&#113;&#123;&#80;&#40;&#66;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#80;&#40;&#68;&#41;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"206\" style=\"vertical-align: -5px;\"\/><\/p>\n\n\n\n<p>Les \u00e9v\u00e9nements B et D sont donc d\u00e9pendants.&nbsp;<\/p>\n\n\n\n<p>    2. Calcul de la probabilit\u00e9 de prendre une salade et pas de dessert.<\/p>\n\n\n<p>On note <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-5c3e6412a05d8f2f91a54a8133c2cada_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#83;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"39\" style=\"vertical-align: -5px;\"\/> la probabilit\u00e9 de prendre une salade, <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-84c42f3781d6d2316039830002e4afd3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#92;&#98;&#97;&#114;&#123;&#68;&#125;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"42\" style=\"vertical-align: -5px;\"\/> la probabilit\u00e9 de ne pas prendre de dessert et <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-5024e70acdbc3bf167409e9ec4be7e10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#95;&#83;&#123;&#40;&#92;&#98;&#97;&#114;&#123;&#68;&#125;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"49\" style=\"vertical-align: -5px;\"\/> la probabilit\u00e9 de ne pas prendre de dessert sachant qu\u2019on a pris une salade. On applique la formule suivante : <\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-8c475d883c61efa135229c53447b7b77_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#83;&#92;&#99;&#97;&#112;&#123;&#92;&#98;&#97;&#114;&#123;&#68;&#125;&#125;&#41;&#61;&#80;&#40;&#83;&#41;&#92;&#116;&#105;&#109;&#101;&#115;&#123;&#80;&#95;&#83;&#40;&#92;&#98;&#97;&#114;&#123;&#68;&#125;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"209\" style=\"vertical-align: -5px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-16421aa02f24e85deaa54143d26d7b91_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#83;&#92;&#99;&#97;&#112;&#123;&#92;&#98;&#97;&#114;&#123;&#68;&#125;&#125;&#41;&#61;&#48;&#44;&#52;&#92;&#116;&#105;&#109;&#101;&#115;&#48;&#44;&#49;&#61;&#48;&#44;&#48;&#52;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"229\" style=\"vertical-align: -5px;\"\/><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Correction 3<\/h3>\n\n\n<p>On note <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-e3ad759863901ea057fb8d44b719d9f5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#88;&#40;&#92;&#79;&#109;&#101;&#103;&#97;&#41;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"42\" style=\"vertical-align: -5px;\"\/> comme \u00e9tant l\u2019ensemble des valeurs que peut prendre la variable al\u00e9atoire X. On note F l\u2019\u00e9v\u00e9nement \u201cobtenir face\u201d et P l\u2019\u00e9v\u00e9nement \u201cobtenir pile\u201d.&nbsp;<\/p>\n<p>Tu lances 2 fois le d\u00e9. Tu peux avoir FF, PP, PF, FP. L\u2019ensemble des possibles est donc <img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-8e767767ab25119e9500bea862392e23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#79;&#109;&#101;&#103;&#97;&#61;&#123;&#70;&#70;&#44;&#32;&#80;&#80;&#44;&#32;&#80;&#70;&#44;&#32;&#70;&#80;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"165\" style=\"vertical-align: -4px;\"\/><\/p>\n<p>Donc tu peux avoir 2 fois face, 1 fois face et aucune fois face.&nbsp;<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-a1f99702ca4156ca8924e1e7306ded9a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#88;&#40;&#92;&#79;&#109;&#101;&#103;&#97;&#41;&#61;&#123;&#48;&#44;&#49;&#44;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"108\" style=\"vertical-align: -5px;\"\/><\/p>\n\n\n\n<p>On d\u00e9finit la loi de probabilit\u00e9 de X :<\/p>\n\n\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-dbe8a997da855d6fc942538acc2f4ab7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#88;&#61;&#120;&#95;&#49;&#41;&#61;&#80;&#40;&#88;&#61;&#48;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"218\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-de95eb9bad11b5376e9683e1854c2ecb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#88;&#61;&#120;&#95;&#50;&#41;&#61;&#80;&#40;&#88;&#61;&#49;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#52;&#125;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"252\" style=\"vertical-align: -6px;\"\/><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/sherpas.com\/content\/ql-cache\/quicklatex.com-e975b47d7d37528049d33e3afd76fa11_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#80;&#40;&#88;&#61;&#120;&#95;&#51;&#41;&#61;&#80;&#40;&#88;&#61;&#50;&#41;&#61;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"218\" style=\"vertical-align: -6px;\"\/><\/p>\n\n\n\n<p>On peut r\u00e9sumer la loi de probabilit\u00e9 de la variable al\u00e9atoire X comme ceci :<\/p>\n\n\n\n<figure class=\"wp-block-image size-large is-resized\"><img decoding=\"async\" width=\"1268\" height=\"178\" src=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?func=bound&amp;w=1024&amp;h=178\" alt=\"\" class=\"wp-image-258539\" style=\"width:698px;height:97px\" srcset=\"https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=1268 1268w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=300 300w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=1024 1024w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=768 768w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=200 200w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=396 396w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=288 288w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=610 610w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=265 265w, https:\/\/adymrxvmro.cloudimg.io\/v7\/https:\/\/adymrxvmro.cloudimg.io\/v7\/sherpas.com\/blog\/content\/uploads\/2023\/05\/Capture-decran-2023-05-26-a-11.41.17.png?q=90&amp;org_if_sml=1&amp;w=60 60w\" sizes=\"(max-width: 1268px) 100vw, 1268px\" \/><\/figure>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large is-resized\"><img decoding=\"async\" src=\"https:\/\/media.giphy.com\/media\/8MWdaFQEYEicGIkfHU\/giphy.gif\" alt=\"Pile ou face ? \" style=\"width:376px;height:376px\"\/><\/figure><\/div>\n\n\n<p>On arrive au bout de notre <strong>fiche de math\u00e9matiques sur les probabilit\u00e9s<\/strong>. On esp\u00e8re qu\u2019elle t\u2019a plu et t\u2019a aid\u00e9 \u00e0 mieux comprendre comment les appliquer. Si tu as quelques difficult\u00e9s, n\u2019h\u00e9site pas \u00e0 prendre des <a href=\"https:\/\/sherpas.com\/cours\/maths\">cours de maths<\/a> avec un de nos Sherpas !<\/p>\n\n\n<div class=\"kk-star-ratings kksr-auto kksr-align-center kksr-valign-bottom\"\n    data-payload='{&quot;align&quot;:&quot;center&quot;,&quot;id&quot;:&quot;258511&quot;,&quot;slug&quot;:&quot;default&quot;,&quot;valign&quot;:&quot;bottom&quot;,&quot;ignore&quot;:&quot;&quot;,&quot;reference&quot;:&quot;auto&quot;,&quot;class&quot;:&quot;&quot;,&quot;count&quot;:&quot;3&quot;,&quot;legendonly&quot;:&quot;&quot;,&quot;readonly&quot;:&quot;&quot;,&quot;score&quot;:&quot;5&quot;,&quot;starsonly&quot;:&quot;&quot;,&quot;best&quot;:&quot;5&quot;,&quot;gap&quot;:&quot;5&quot;,&quot;greet&quot;:&quot;Tu as aim\u00e9 cet article ?&quot;,&quot;legend&quot;:&quot;5\\\/5 - (3 votes)&quot;,&quot;size&quot;:&quot;24&quot;,&quot;title&quot;:&quot;Probabilit\u00e9s : d\u00e9finition, notions, formules \ud83e\uddee&quot;,&quot;width&quot;:&quot;142.5&quot;,&quot;_legend&quot;:&quot;{score}\\\/{best} - ({count} {votes})&quot;,&quot;font_factor&quot;:&quot;1.25&quot;}'>\n            \n<div class=\"kksr-stars\">\n    \n<div class=\"kksr-stars-inactive\">\n            <div class=\"kksr-star\" data-star=\"1\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"2\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"3\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"4\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" data-star=\"5\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n    \n<div class=\"kksr-stars-active\" style=\"width: 142.5px;\">\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n            <div class=\"kksr-star\" style=\"padding-right: 5px\">\n            \n\n<div class=\"kksr-icon\" style=\"width: 24px; height: 24px;\"><\/div>\n        <\/div>\n    <\/div>\n<\/div>\n                \n\n<div class=\"kksr-legend\" style=\"font-size: 19.2px;\">\n            5\/5 - (3 votes)    <\/div>\n    <\/div>\n","protected":false},"excerpt":{"rendered":"<p>Tu souhaites calculer tes chances de r\u00e9ussir ton prochain contr\u00f4le de maths ? Eh bien, sache qu\u2019avec cette (&#8230;)<\/p>\n","protected":false},"author":332,"featured_media":258693,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":true,"footnotes":""},"category":[803,810],"tag":[783],"class_list":["post-258511","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-apprendre-matiere","category-maths","tag-probabilites"],"acf":[],"_links":{"self":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/posts\/258511","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/users\/332"}],"replies":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/comments?post=258511"}],"version-history":[{"count":0,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/posts\/258511\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/media\/258693"}],"wp:attachment":[{"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/media?parent=258511"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/category?post=258511"},{"taxonomy":"tag","embeddable":true,"href":"https:\/\/sherpas.com\/blog\/wp-json\/wp\/v2\/tag?post=258511"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}