{"id":6956,"date":"2011-10-03T15:46:50","date_gmt":"2011-10-03T14:46:50","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6956"},"modified":"2022-01-16T03:09:40","modified_gmt":"2022-01-16T03:09:40","slug":"num-sorteio-foram-vendidos-200-bilhetes","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6956","title":{"rendered":"Num sorteio foram vendidos 200 bilhetes"},"content":{"rendered":"<p><ul id='GTTabs_ul_6956' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6956' class='GTTabs_curr'><a  id=\"6956_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6956' ><a  id=\"6956_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_6956'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/bilhetes.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6957\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6957\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/bilhetes.jpg\" data-orig-size=\"364,343\" 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=\"Bilhetes\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/bilhetes.jpg\" class=\"alignright wp-image-6957 size-full\" title=\"Bilhetes\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/bilhetes.jpg\" alt=\"\" width=\"364\" height=\"343\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/bilhetes.jpg 364w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/bilhetes-300x282.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/bilhetes-150x141.jpg 150w\" sizes=\"auto, (max-width: 364px) 100vw, 364px\" \/><\/a>Num sorteio foram vendidos 200 bilhetes.<\/p>\n<p>A probabilidade de o Lu\u00eds ganhar o pr\u00e9mio \u00e9 $\\frac{6}{400}$.<\/p>\n<p>Quantos bilhetes comprou o Lu\u00eds?<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6956' onClick='GTTabs_show(1,6956)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6956'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p>O n\u00famero de casos poss\u00edveis \u00e9 200.<\/p>\n<p>Seja n o n\u00famero de bilhetes que o Lu\u00eds comprou, valor este correspondente ao n\u00famero de casos favor\u00e1veis..<\/p>\n<p>Por aplica\u00e7\u00e3o da Lei de Laplace, temos:<\/p>\n<p>\\[\\begin{array}{*{35}{l}}<br \/>\np=\\frac{6}{400} &amp; \\Leftrightarrow\u00a0 &amp; \\frac{n}{200}=\\frac{6}{400}\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; n=\\frac{200\\times 6}{400}\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; n=3\u00a0 \\\\<br \/>\n\\end{array}\\]<\/p>\n<p>O Lu\u00eds comprou tr\u00eas bilhetes.<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6956' onClick='GTTabs_show(0,6956)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Num sorteio foram vendidos 200 bilhetes. A probabilidade de o Lu\u00eds ganhar o pr\u00e9mio \u00e9 $\\frac{6}{400}$. Quantos bilhetes comprou o Lu\u00eds? Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20345,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_feature_clip_id":0,"_jetpack_memberships_contains_paid_content":false,"footnotes":"","jetpack_post_was_ever_published":false},"categories":[213,97,214],"tags":[426,217,218,215],"series":[],"class_list":["post-6956","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-estatistica-e-probabilidades","tag-9-o-ano","tag-acontecimento","tag-espaco-de-acontecimentos","tag-probabilidade"],"views":2955,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2011\/10\/9CA-Pag004-8_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6956","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=6956"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6956\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20345"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6956"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6956"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6956"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6956"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}