{"id":7248,"date":"2011-12-04T16:27:42","date_gmt":"2011-12-04T16:27:42","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7248"},"modified":"2022-01-26T00:22:34","modified_gmt":"2022-01-26T00:22:34","slug":"caminho-de-ferro","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7248","title":{"rendered":"Caminho de ferro"},"content":{"rendered":"<p><ul id='GTTabs_ul_7248' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7248' class='GTTabs_curr'><a  id=\"7248_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7248' ><a  id=\"7248_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_7248'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7249\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7249\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg\" data-orig-size=\"238,609\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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=\"Esquema\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg\" class=\"alignright wp-image-7249\" title=\"Esquema\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg\" alt=\"\" width=\"200\" height=\"512\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg 238w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69-117x300.jpg 117w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/a>No esquema da figura, os v\u00e9rtices indicam povoa\u00e7\u00f5es unidas pelo caminho de ferro.<\/p>\n<p>Os n\u00fameros representam dist\u00e2ncias em km.<\/p>\n<ol>\n<li>Com o aux\u00edlio de um esquema em \u00e1rvore, apresente o conjunto de todos os caminhos poss\u00edveis entre A e F.<\/li>\n<li>Se for escolhido um desses caminhos ao acaso, qual a probabilidade de:\n<p>a) passar por todas as povoa\u00e7\u00f5es?<\/p>\n<p>b) ter no m\u00e1ximo 15 km?<\/p>\n<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7248' onClick='GTTabs_show(1,7248)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7248'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<\/p>\n<ol>\n<li>\u00a0<a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69D.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7250\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7250\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69D.jpg\" data-orig-size=\"647,407\" 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\/12\/12p180-69D.jpg\" class=\"alignnone wp-image-7250 size-full\" title=\"Diagrama\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69D.jpg\" alt=\"\" width=\"647\" height=\"407\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69D.jpg 647w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69D-300x188.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69D-150x94.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69D-400x251.jpg 400w\" sizes=\"auto, (max-width: 647px) 100vw, 647px\" \/><\/a><\/li>\n<li>\u00a0<a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7249\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7249\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg\" data-orig-size=\"238,609\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&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=\"Esquema\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg\" class=\"alignright wp-image-7249\" title=\"Esquema\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg\" alt=\"\" width=\"200\" height=\"512\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69.jpg 238w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12p180-69-117x300.jpg 117w\" sizes=\"auto, (max-width: 200px) 100vw, 200px\" \/><\/a><br \/>\na)<br \/>\nA probabilidade pedida \u00e9 $p=\\frac{4}{13}$.<\/p>\n<p>b)<br \/>\nA probabilidade pedida \u00e9 $p=\\frac{8}{13}$.<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_7248' onClick='GTTabs_show(0,7248)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado No esquema da figura, os v\u00e9rtices indicam povoa\u00e7\u00f5es unidas pelo caminho de ferro. Os n\u00fameros representam dist\u00e2ncias em km. Com o aux\u00edlio de um esquema em \u00e1rvore, apresente o conjunto de&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":21060,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[226,97,227],"tags":[427,255,215],"series":[],"class_list":["post-7248","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-analise-combinatoria","tag-probabilidade"],"views":2216,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12V1Pag180-69_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7248","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=7248"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7248\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/21060"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7248"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7248"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7248"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7248"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}