{"id":7085,"date":"2011-10-17T00:18:17","date_gmt":"2011-10-16T23:18:17","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7085"},"modified":"2022-01-25T18:14:20","modified_gmt":"2022-01-25T18:14:20","slug":"ida-a-padaria","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7085","title":{"rendered":"Ida \u00e0 padaria"},"content":{"rendered":"<p><ul id='GTTabs_ul_7085' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7085' class='GTTabs_curr'><a  id=\"7085_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7085' ><a  id=\"7085_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_7085'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/BreadShop.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7086\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7086\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/BreadShop.jpg\" data-orig-size=\"453,310\" 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=\"Padaria\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/BreadShop.jpg\" class=\"alignright size-full wp-image-7086\" title=\"Padaria\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/BreadShop.jpg\" alt=\"\" width=\"218\" height=\"149\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/BreadShop.jpg 453w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/BreadShop-300x205.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/BreadShop-150x102.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/BreadShop-400x273.jpg 400w\" sizes=\"auto, (max-width: 218px) 100vw, 218px\" \/><\/a>Um dos membros do casal Silva (ou o Manuel ou a Adelaide) vai todos os dias de manh\u00e3 comprar p\u00e3o \u00e0 padaria da rua onde moram, mal ela abre.<\/p>\n<p>Em 40% dos dias, \u00e9 o Manuel Silva que vai comprar o p\u00e3o. Nos restantes dias, \u00e9 a Adelaide Silva que se encarrega dessa tarefa.<\/p>\n<p>Sabe-se tamb\u00e9m que, nas vezes em que a Adelaide vai \u00e0 padaria, ela compra apenas p\u00e3o de trigo (o que acontece 20% dessas vezes) ou apenas p\u00e3o de centeio.<\/p>\n<ol>\n<li>Num certo dia, um vizinho da fam\u00edlia Silva vai \u00e0 mesma padaria, mal ela abre.<br \/>\nQuem \u00e9 mais prov\u00e1vel que ele l\u00e1 encontre: o Manuel, ou a Adelaide? Justifique.<\/li>\n<li>Calcule a probabilidade de que, num dia escolhido ao acaso, seja a Adelaide a ir \u00e0 padaria e traga p\u00e3o de centeio.<br \/>\nApresente o resultado na forma de percentagem.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7085' onClick='GTTabs_show(1,7085)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7085'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li>Em 40% dos dias, \u00e9 o Manuel Silva que vai comprar o p\u00e3o. Nos restantes dias, ou seja em 60% dos dias, \u00e9 a Adelaide Silva que se encarrega dessa tarefa. Como 60%&gt;40%, \u00e9 mais prov\u00e1vel que o vizinho da fam\u00edlia Silva l\u00e1 encontre a Adelaide.<br \/>\n\u00ad<\/li>\n<li>Sejam A: &#8220;A Adelaide vai \u00e0 padaria&#8221; e C: &#8220;O p\u00e3o que \u00e9 comprado \u00e9 de centeio&#8221;.<br \/>\nSabe-se que:<\/p>\n<p>&#8211; $P(A)=0,6$<\/p>\n<p>&#8211; $P(C|A)=1-P(\\overline{C}|A)=1-0,2=0,8$<\/p>\n<p>Portanto, a probabilidade de, num dia escolhido ao acaso, ser a Adelaide a ir \u00e0 padaria e traga p\u00e3o de centeio \u00e9: \\[P(A\\cap C)=P(A)\\times P(A|C)=0,6\\times 0,8=0,48\\]<br \/>\nEssa probabilidade \u00e9 48%.<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_7085' onClick='GTTabs_show(0,7085)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Um dos membros do casal Silva (ou o Manuel ou a Adelaide) vai todos os dias de manh\u00e3 comprar p\u00e3o \u00e0 padaria da rua onde moram, mal ela abre. Em 40%&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":21007,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[226,97,227],"tags":[427,215,235],"series":[],"class_list":["post-7085","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-probabilidade","tag-probabilidade-condicionada"],"views":2707,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/12-Ida_a_padaria.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7085","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=7085"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7085\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/21007"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7085"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7085"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7085"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7085"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}