{"id":443,"date":"2025-07-16T15:40:58","date_gmt":"2025-07-16T14:40:58","guid":{"rendered":"https:\/\/mat.uab.cat\/web\/tfg\/?p=443"},"modified":"2025-07-16T15:40:58","modified_gmt":"2025-07-16T14:40:58","slug":"probabilitat-i-cromos-quants-paquets-calen-per-completar-lalbum","status":"publish","type":"post","link":"https:\/\/mat.uab.cat\/web\/tfg\/probabilitat-i-cromos-quants-paquets-calen-per-completar-lalbum\/","title":{"rendered":"Probabilitat i cromos: quants paquets calen per completar l&#8217;\u00e0lbum?"},"content":{"rendered":"<p class=\"md-end-block md-p md-focus\"><span class=\"md-plain md-expand\">Aquest treball parteix d&#8217;una situaci\u00f3 que molts hem viscut durant la infantesa: completar una col\u00b7lecci\u00f3 de cromos. L&#8217;objectiu principal \u00e9s determinar quants paquets cal comprar, de mitjana, per completar tota la col\u00b7lecci\u00f3. S&#8217;analitzaran diversos escenaris, comen\u00e7ant pel cas m\u00e9s senzill, en qu\u00e8 cada paquet cont\u00e9 un sol cromo i tots tenen la mateixa probabilitat d&#8217;apar\u00e8ixer. Es veuran resultats cl\u00e0ssics i s&#8217;estudiaran algunes estrat\u00e8gies alternatives. Finalment, es proposa complementar l&#8217;estudi amb simulacions que permetin contrastar els resultats te\u00f2rics.<\/span><\/p>\n<p class=\"md-end-block md-p md-focus\"><span class=\"md-plain md-expand\">Per aquest treball \u00e9s preferible cursar o haver cursat l&#8217;assignatura de Processos estoc\u00e0stics.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Aquest treball parteix d&#8217;una situaci\u00f3 que molts hem viscut durant la infantesa: completar una col\u00b7lecci\u00f3 de cromos. L&#8217;objectiu principal \u00e9s determinar quants paquets cal comprar, de mitjana, per completar tota la col\u00b7lecci\u00f3. S&#8217;analitzaran diversos escenaris, comen\u00e7ant pel cas m\u00e9s senzill, en qu\u00e8 cada paquet cont\u00e9 un sol cromo i tots tenen la mateixa probabilitat d&#8217;apar\u00e8ixer. [&hellip;]<\/p>\n","protected":false},"author":80,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[32],"tags":[45],"class_list":["post-443","post","type-post","status-publish","format-standard","hentry","category-estadistica-i-investigacio-operativa","tag-giulia-binotto"],"_links":{"self":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/443","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/users\/80"}],"replies":[{"embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/comments?post=443"}],"version-history":[{"count":1,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/443\/revisions"}],"predecessor-version":[{"id":444,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/posts\/443\/revisions\/444"}],"wp:attachment":[{"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/media?parent=443"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/categories?post=443"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/mat.uab.cat\/web\/tfg\/wp-json\/wp\/v2\/tags?post=443"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}