{"id":7252,"date":"2011-12-04T18:03:00","date_gmt":"2011-12-04T18:03:00","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=7252"},"modified":"2022-01-26T00:29:21","modified_gmt":"2022-01-26T00:29:21","slug":"no-jogo-do-golfe","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=7252","title":{"rendered":"No jogo do golfe"},"content":{"rendered":"<p><ul id='GTTabs_ul_7252' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_7252' class='GTTabs_curr'><a  id=\"7252_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_7252' ><a  id=\"7252_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_7252'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/golfe.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"7253\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=7253\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/golfe.jpg\" data-orig-size=\"490,420\" 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=\"Golfe\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/golfe.jpg\" class=\"size-full wp-image-7253 alignright\" title=\"Golfe\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/golfe.jpg\" alt=\"\" width=\"176\" height=\"151\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/golfe.jpg 490w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/golfe-300x257.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/golfe-150x128.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/golfe-400x342.jpg 400w\" sizes=\"auto, (max-width: 176px) 100vw, 176px\" \/><\/a>No jogo do golfe, a probabilidade de que o Jo\u00e3o fa\u00e7a buraco a determinada dist\u00e2ncia \u00e9 $0,3$.<\/p>\n<p>Se o Jo\u00e3o fizer seis tentativas, qual \u00e9 a probabilidade de acertar pelo menos uma vez?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_7252' onClick='GTTabs_show(1,7252)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_7252'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>A vari\u00e1vel aleat\u00f3ria $X$: &#8220;<em>N\u00famero de buracos feitos pelo Jo\u00e3o, em seis tentativas<\/em>&#8221; tem uma distribui\u00e7\u00e3o binomial de par\u00e2metros $n=6$ e $p=0,3=\\frac{3}{10}$.<\/p>\n<p>Assim, a probabilidade pedida \u00e9 $$p=1-P(X=0)=1-{}^{6}{{C}_{0}}\\times {{\\left( \\frac{3}{10} \\right)}^{0}}\\times {{\\left( \\frac{7}{10} \\right)}^{6}}=1-\\frac{117649}{1000000}=\\frac{882351}{1000000}\\approx 0,88$$<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_7252' onClick='GTTabs_show(0,7252)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado No jogo do golfe, a probabilidade de que o Jo\u00e3o fa\u00e7a buraco a determinada dist\u00e2ncia \u00e9 $0,3$. Se o Jo\u00e3o fizer seis tentativas, qual \u00e9 a probabilidade de acertar pelo menos&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":21063,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[226,97,227],"tags":[427,255,251,215],"series":[],"class_list":["post-7252","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-distribuicao-binomial","tag-probabilidade"],"views":3621,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/12\/12V1Pag180-70_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7252","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=7252"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/7252\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/21063"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7252"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=7252"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=7252"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=7252"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}