{"id":6994,"date":"2011-10-10T00:01:50","date_gmt":"2011-10-09T23:01:50","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6994"},"modified":"2022-01-25T13:30:29","modified_gmt":"2022-01-25T13:30:29","slug":"a-ementa","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6994","title":{"rendered":"A ementa"},"content":{"rendered":"<p><ul id='GTTabs_ul_6994' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6994' class='GTTabs_curr'><a  id=\"6994_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6994' ><a  id=\"6994_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_6994'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6995\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6995\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg\" data-orig-size=\"307,419\" 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=\"Ementa\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg\" class=\"alignright wp-image-6995 size-full\" title=\"Ementa\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg\" alt=\"\" width=\"307\" height=\"419\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg 307w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2-219x300.jpg 219w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2-109x150.jpg 109w\" sizes=\"auto, (max-width: 307px) 100vw, 307px\" \/><\/a>\u00c0\u00a0entrada de uma cantina, encontra-se a ementa apresentada ao lado.<\/p>\n<p>O pre\u00e7o \u00e9 fixo, desde que a refei\u00e7\u00e3o seja uma sopa, um prato (carne ou peixe) e uma sobremesa.<\/p>\n<ol>\n<li>Quantas refei\u00e7\u00f5es ao pre\u00e7o fixo podemos organizar?<\/li>\n<li>O Vasco est\u00e1 distra\u00eddo a conversar com a Sandra e foi tirando a sopa, o prato e a sobremesa, ao acaso.<br \/>\nQual \u00e9 a probabilidade do Vasco:<br \/>\na) n\u00e3o comer peixe?<br \/>\nb) comer mousse?<br \/>\nc) n\u00e3o comer canja nem leite creme?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6994' onClick='GTTabs_show(1,6994)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6994'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6995\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6995\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg\" data-orig-size=\"307,419\" 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=\"Ementa\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg\" class=\"alignright wp-image-6995 size-full\" title=\"Ementa\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg\" alt=\"\" width=\"307\" height=\"419\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2.jpg 307w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2-219x300.jpg 219w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/ementa2-109x150.jpg 109w\" sizes=\"auto, (max-width: 307px) 100vw, 307px\" \/><\/a>Existem 2 possibilidades para escolher a sopa, 3 possibilidades para escolher o prato e 3 possibilidades para escolher a sobremesa. Logo, podemos organizar $2\\times 3\\times 3=18$ refei\u00e7\u00f5es ao pre\u00e7o fixo.<br \/>\n\u00ad<\/li>\n<li>a)<br \/>\nUma ementa que n\u00e3o inclua o prato de peixe pode ser organizada de $2\\times 2\\times 3=12$ maneiras diferentes, pois a sopa pode ser escolhida de 2 maneiras diferentes, o prato tamb\u00e9m de 2 maneiras diferentes e a sobremesa de 3 maneiras diferentes.<br \/>\nLogo, $P(&#8221;\\text{n }\\!\\!\\tilde{\\mathrm{a}}\\!\\!\\text{ o comer peixe}&#8221;)=\\frac{12}{18}=\\frac{2}{3}$.<\/p>\n<p>b)<br \/>\nUma ementa com mousse pode ser organizada de $2\\times 3\\times 1=6$ maneiras diferentes, pois h\u00e1 2 possibilidades para escolher a sopa, 3 possibilidades para escolher o prato e apenas 1 possibilidade para escolher a sobremesa.<br \/>\nLogo, $P(&#8221;\\text{comer mousse}&#8221;)=\\frac{6}{18}=\\frac{1}{3}$.<\/p>\n<p>c)<br \/>\nUma ementa que n\u00e3o inclua canja nem leita creme pode ser organizada de $1\\times 3\\times 2=6$ maneiras diferentes, pois h\u00e1 1 possibilidade para escolher a sopa, 3 possibildades para escolher o prato e 2 possibilidades para escolher a sobremesa.<br \/>\nLogo, $P(&#8221;\\text{n }\\!\\!\\tilde{\\mathrm{a}}\\!\\!\\text{ o comer canja nem leite creme}&#8221;)=\\frac{6}{18}=\\frac{1}{3}$.<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6994' onClick='GTTabs_show(0,6994)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado \u00c0\u00a0entrada de uma cantina, encontra-se a ementa apresentada ao lado. O pre\u00e7o \u00e9 fixo, desde que a refei\u00e7\u00e3o seja uma sopa, um prato (carne ou peixe) e uma sobremesa. Quantas refei\u00e7\u00f5es&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":20961,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[226,97,227],"tags":[427,217,216,215],"series":[],"class_list":["post-6994","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-espaco-de-resultados","tag-probabilidade"],"views":3185,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/12V1Pag165-7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6994","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=6994"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6994\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20961"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6994"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6994"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6994"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6994"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}