{"id":8545,"date":"2023-09-20T12:09:00","date_gmt":"2023-09-20T11:09:00","guid":{"rendered":"https:\/\/exos.education\/fr\/exercice-mathematiques-probabilites-niveau-troisieme-dysorthographiques\/"},"modified":"2023-08-21T14:54:30","modified_gmt":"2023-08-21T13:54:30","slug":"exercice-mathematiques-probabilites-niveau-troisieme-dysorthographiques","status":"publish","type":"post","link":"https:\/\/exos.education\/fr\/exercice-mathematiques-probabilites-niveau-troisieme-dysorthographiques\/","title":{"rendered":"Exercice Math\u00e9matiques Probabilit\u00e9s Niveau Troisi\u00e8me Dysorthographiques."},"content":{"rendered":"<p>Points importants du cours : <\/p>\n<p>Les probabilit\u00e9s permettent de mesurer le hasard. La probabilit\u00e9 d&rsquo;un \u00e9v\u00e9nement, not\u00e9e P(E), est un nombre compris entre 0 et 1. Quand l&rsquo;\u00e9v\u00e9nement est impossible, sa probabilit\u00e9 est \u00e9gale \u00e0 0. S&rsquo;il est certain, sa probabilit\u00e9 est \u00e9gale \u00e0 1. Pour tous les \u00e9v\u00e8nements possibles, la somme de leurs probabilit\u00e9s vaut 1.<\/p>\n<p>Consignes pour l&rsquo;exercice :<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f46b.svg\"> Vous vous retrouvez dans une classe compos\u00e9e de 25 \u00e9l\u00e8ves dont : <\/p>\n<p>&#8211; <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f9d2-1f3fb.svg\">11 gar\u00e7ons<br \/>&#8211; <img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\" \" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/1f467-1f3fb.svg\">14 filles<\/p>\n<p>Voici des s\u00e9lections al\u00e9atoires que vous pouvez faire :<\/p>\n<p>A = Piocher un gar\u00e7on<br \/>B = Piocher une fille<\/p>\n<p>Quelle serait donc la chance (probabilit\u00e9) de piocher :<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"1\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/31-20e3.svg\"> Un gar\u00e7on ? (2 points)<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"2\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/32-20e3.svg\"> Une fille ?(2 points) <\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"3\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/33-20e3.svg\"> Non seulement une fille mais aussi un gar\u00e7on en deux tentatives ? (4 points)<\/p>\n<p>Notez bien vos r\u00e9ponses sous forme de fraction ou nombre d\u00e9cimal.<\/p>\n<p>R\u00e9ponses aux questions :<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"1\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/31-20e3.svg\"> P(A) = Nombre total des cas favorables \/ nombre total des cas possibles =&gt; la chance de tirer un gar\u00e7on =<\/p>\n<p>11 \/ 25.<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"2\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/32-20e3.svg\"> De m\u00eame pour B =&gt; la chance de tirer une fille = <br \/>14 \/25 .<\/p>\n<p><img decoding=\"async\" draggable=\"false\" role=\"img\" class=\"emoji\" alt=\"3\ufe0f\u20e3\" src=\"https:\/\/s.w.org\/images\/core\/emoji\/14.0.0\/svg\/33-20e3.svg\"> Pour ce qui est du troisi\u00e8me cas C=p(A puis B)=P(A)*P(B apr\u00e8s A)) <br \/>c&rsquo;est \u00e0 dire piocher d&rsquo;abord un \u00e9l\u00e8ve quelconque soit A puis enlever cet \u00e9l\u00e8ve du groupe restant et calculer la nouvelle chance d&rsquo;avoir le second soit B :<br \/>(11\/25 ) * (14\/24 ) ici on a retir\u00e9 le premier \u00e9l\u00e8ve gagnant donc il reste plus que 24.<\/p>\n<p>Cet exercice \u00e9tant con\u00e7u sp\u00e9cifiquement pour les \u00e9l\u00e8ves dysorthographiques nul besoin d&rsquo;une \u00e9criture parfaite pour comprendre et r\u00e9ussir l&rsquo;exercice car il suffit juste d&rsquo;identifier correctement chaque situation et faire les calculs n\u00e9cessaires.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Points importants du cours : Les probabilit\u00e9s permettent de mesurer le hasard. La probabilit\u00e9 d&rsquo;un \u00e9v\u00e9nement, not\u00e9e P(E), est un nombre compris entre 0 et 1. Quand l&rsquo;\u00e9v\u00e9nement est impossible, sa probabilit\u00e9 est \u00e9gale \u00e0 0. S&rsquo;il est certain, sa probabilit\u00e9 est \u00e9gale \u00e0 1. Pour tous les \u00e9v\u00e8nements possibles, la somme de leurs probabilit\u00e9s [&hellip;]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[7,26,6,5,4,53,1],"tags":[],"class_list":["post-8545","post","type-post","status-publish","format-standard","hentry","category-mathematiques","category-dysorthographiques","category-accessibilite","category-niveaux","category-matieres","category-3eme","category-exercices-pedagogiques-imprimables-et-gratuits"],"_links":{"self":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8545","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/comments?post=8545"}],"version-history":[{"count":0,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8545\/revisions"}],"wp:attachment":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/media?parent=8545"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/categories?post=8545"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/tags?post=8545"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}