{"id":6986,"date":"2011-10-09T19:33:53","date_gmt":"2011-10-09T18:33:53","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6986"},"modified":"2022-01-25T13:15:49","modified_gmt":"2022-01-25T13:15:49","slug":"numa-escola-ha-alunos-com-olhos-castanhos-verdes-ou-azuis","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6986","title":{"rendered":"Numa escola h\u00e1 alunos com olhos castanhos, verdes ou azuis"},"content":{"rendered":"<p><ul id='GTTabs_ul_6986' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6986' class='GTTabs_curr'><a  id=\"6986_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6986' ><a  id=\"6986_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_6986'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Numa escola h\u00e1 alunos com olhos castanhos, verdes ou azuis.<\/p>\n<p>Sabendo que 60% dos alunos t\u00eam olhos castanhos e 20% dos alunos t\u00eam olhos verdes, qual \u00e9 a probabilidade de, encontrando casualmente um aluno dessa escola, ele:<\/p>\n<ol>\n<li>ter olhos azuis?<\/li>\n<li>n\u00e3o ter olhos azuis?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6986' onClick='GTTabs_show(1,6986)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6986'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/cor-olhos.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6987\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6987\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/cor-olhos.jpg\" data-orig-size=\"244,234\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Diagrama\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/cor-olhos.jpg\" class=\"alignright size-full wp-image-6987\" title=\"Diagrama\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/cor-olhos.jpg\" alt=\"\" width=\"244\" height=\"234\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/cor-olhos.jpg 244w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/cor-olhos-150x143.jpg 150w\" sizes=\"auto, (max-width: 244px) 100vw, 244px\" \/><\/a>Sejam E, C, V e A, respetivamente, o conjunto dos alunos da escola, o conjunto dos alunos da escola com olhos castanhos, o conjunto dos alunos da escola com olhos verdes e o conjunto dos alunos da escola com olhos azuis.<\/p>\n<p>Sabendo que os conjuntos C, V e A s\u00e3o disjuntos dois a dois, conclui-se que 20%\u00a0(100%-(60%+20%)) dos alunos da escola t\u00eam, tamb\u00e9m, olhos azuis.<\/p>\n<ol>\n<li>Assim, $p(\\text{&#8221;ter olhos azuis&#8221;})=20$%.<br \/>\n\u00ad<\/li>\n<li>E, $p(\\text{&#8221;n }\\!\\!\\tilde{\\mathrm{a}}\\!\\!\\text{ o ter olhos azuis&#8221;})=p(\\text{&#8221;ter olhos castanhos ou verdes&#8221;})=80$%.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6986' onClick='GTTabs_show(0,6986)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Numa escola h\u00e1 alunos com olhos castanhos, verdes ou azuis. Sabendo que 60% dos alunos t\u00eam olhos castanhos e 20% dos alunos t\u00eam olhos verdes, qual \u00e9 a probabilidade de, encontrando&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20958,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[226,97,227],"tags":[427,217,215],"series":[],"class_list":["post-6986","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-12--ano","category-aplicando","category-probabilidades-e-combinatoria","tag-12-o-ano","tag-acontecimento","tag-probabilidade"],"views":1114,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/12V1Pag165-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6986","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=6986"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6986\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20958"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6986"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6986"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6986"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6986"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}