[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"transcript-75c57b50-7073-4fb7-9fd4-def8d48f62cb-es":3,"footer-top-topics-es":321,"transcript-poster-75c57b50-7073-4fb7-9fd4-def8d48f62cb":374,"footer-top-speakers-es":375},{"falas":4,"lang":308,"meta":309},[5,15,22,29,36,43,50,56,62,69,74,79,85,90,96,102,108,114,120,125,132,137,144,150,156,162,167,172,178,185,191,197,203,209,215,221,227,232,238,244,250,256,261,267,273,279,285,290,296,302],{"idx":6,"utterance_id":7,"speaker_name":8,"speaker_slug":9,"text":10,"start_s":11,"end_s":12,"word_count":13,"indexable":14},0,"42643","Tarcisio","tarcisio","Gente, vamos a tratar un asunto muy importante en época de la Copa del Mundo.",0.22,3.34,14,false,{"idx":16,"utterance_id":17,"speaker_name":8,"speaker_slug":9,"text":18,"start_s":19,"end_s":20,"word_count":21,"indexable":14},1,"42644","El álbum de figuritas de la Copa.",4.28,5.66,6,{"idx":23,"utterance_id":24,"speaker_name":8,"speaker_slug":9,"text":25,"start_s":26,"end_s":27,"word_count":28,"indexable":14},2,"42645","Mi desafío hoy es un desafío diferente, el desafío de la Copa.",6.68,9.18,12,{"idx":30,"utterance_id":31,"speaker_name":8,"speaker_slug":9,"text":32,"start_s":33,"end_s":34,"word_count":35,"indexable":14},3,"42646","Y quiero saber cuánto necesitamos invertir para completar el álbum de la Copa sin cambiar ninguna figurita.",9.36,16.62,20,{"idx":37,"utterance_id":38,"speaker_name":8,"speaker_slug":9,"text":39,"start_s":40,"end_s":41,"word_count":42,"indexable":14},4,"42647","Y para eso necesito saber inicialmente cuál es la cantidad de figuritas que tiene nuestro álbum.",16.92,20.86,18,{"idx":44,"utterance_id":45,"speaker_name":8,"speaker_slug":9,"text":46,"start_s":47,"end_s":48,"word_count":49,"indexable":14},5,"42648","Lo llamaré n y n es igual a 980.",21.16,22.98,10,{"idx":21,"utterance_id":51,"speaker_name":8,"speaker_slug":9,"text":52,"start_s":53,"end_s":54,"word_count":55,"indexable":14},"42649","El álbum de la Copa tiene 980 figuritas.",23.54,25.4,7,{"idx":55,"utterance_id":57,"speaker_name":8,"speaker_slug":9,"text":58,"start_s":59,"end_s":60,"word_count":61,"indexable":14},"42650","Usaremos la probabilidad, la estadística, para ayudarnos.",25.56,28.66,9,{"idx":63,"utterance_id":64,"speaker_name":8,"speaker_slug":9,"text":65,"start_s":66,"end_s":67,"word_count":68,"indexable":14},8,"42651","Si no tengo ninguna figurita y voy a sacar mi primera figurita, ¿cuál es la probabilidad de que saque una figurita que aún no tengo?",28.92,34.74,26,{"idx":61,"utterance_id":70,"speaker_name":8,"speaker_slug":9,"text":71,"start_s":72,"end_s":73,"word_count":44,"indexable":14},"42652","La probabilidad es exactamente 1.",34.88,37.16,{"idx":49,"utterance_id":75,"speaker_name":8,"speaker_slug":9,"text":76,"start_s":77,"end_s":78,"word_count":44,"indexable":14},"42653","No tengo ninguna figurita.",37.32,38.26,{"idx":80,"utterance_id":81,"speaker_name":8,"speaker_slug":9,"text":82,"start_s":83,"end_s":84,"word_count":80,"indexable":14},11,"42654","Con seguridad sacaré una figurita que no tengo.",38.48,40.62,{"idx":28,"utterance_id":86,"speaker_name":8,"speaker_slug":9,"text":87,"start_s":88,"end_s":89,"word_count":63,"indexable":14},"42655","Ahora, me estoy acercando al final del álbum.",40.92,42.84,{"idx":91,"utterance_id":92,"speaker_name":8,"speaker_slug":9,"text":93,"start_s":94,"end_s":95,"word_count":37,"indexable":14},13,"42656","Ya tengo 979 figuritas.",43.04,45.66,{"idx":13,"utterance_id":97,"speaker_name":8,"speaker_slug":9,"text":98,"start_s":99,"end_s":100,"word_count":101,"indexable":14},"42657","¿Cuál es la probabilidad, partiendo de la suposición de que la probabilidad de sacar cualquier figurita es la misma, de sacar exactamente la figurita que necesito?",45.82,52.34,25,{"idx":103,"utterance_id":104,"speaker_name":8,"speaker_slug":9,"text":105,"start_s":106,"end_s":107,"word_count":55,"indexable":14},15,"42658","Y la voy a llamar aquí P980.",52.46,53.28,{"idx":109,"utterance_id":110,"speaker_name":8,"speaker_slug":9,"text":111,"start_s":112,"end_s":113,"word_count":55,"indexable":14},16,"42659","Esa probabilidad será 1 sobre 980.",55.1,57.32,{"idx":115,"utterance_id":116,"speaker_name":8,"speaker_slug":9,"text":117,"start_s":118,"end_s":119,"word_count":35,"indexable":14},17,"42660","¿Cuál es la probabilidad de que saque, entonces, la figurita que necesito, sabiendo que ya tengo K figuritas?",59.02,64.9,{"idx":42,"utterance_id":121,"speaker_name":8,"speaker_slug":9,"text":122,"start_s":123,"end_s":124,"word_count":103,"indexable":14},"42661","Esa probabilidad será... n menos k sobre n. Y esa es una información importante.",65.1,71.32,{"idx":126,"utterance_id":127,"speaker_name":8,"speaker_slug":9,"text":128,"start_s":129,"end_s":130,"word_count":131,"indexable":14},19,"42662","Porque si sé que la probabilidad de tener una figurita que aún no tengo, si tengo k figuritas, es esa, ¿cuántas veces tendré que repetir un evento para sacar exactamente la figurita que quiero?",71.48,81.74,41,{"idx":35,"utterance_id":133,"speaker_name":8,"speaker_slug":9,"text":134,"start_s":135,"end_s":136,"word_count":37,"indexable":14},"42663","El inverso de la probabilidad.",82,83.5,{"idx":138,"utterance_id":139,"speaker_name":8,"speaker_slug":9,"text":140,"start_s":141,"end_s":142,"word_count":143,"indexable":14},21,"42664","O sea, 1 sobre p o n sobre n menos k. Sabiendo... La cantidad de eventos que necesito tener para sacar esa figurita que necesito, ya se puede calcular la cantidad de figuritas que voy a necesitar, que será la suma de esos eventos.",83.66,97.56,46,{"idx":145,"utterance_id":146,"speaker_name":8,"speaker_slug":9,"text":147,"start_s":148,"end_s":149,"word_count":28,"indexable":14},22,"42665","O sea, Q, voy a llamar esto Q, será igual.",97.68,100.24,{"idx":151,"utterance_id":152,"speaker_name":8,"speaker_slug":9,"text":153,"start_s":154,"end_s":155,"word_count":61,"indexable":14},23,"42666","Cuando K sea cero, N sobre N, más.",100.4,103.3,{"idx":157,"utterance_id":158,"speaker_name":8,"speaker_slug":9,"text":159,"start_s":160,"end_s":161,"word_count":55,"indexable":14},24,"42667","En el siguiente evento, ya hay una figurita.",103.5,105.02,{"idx":101,"utterance_id":163,"speaker_name":8,"speaker_slug":9,"text":164,"start_s":165,"end_s":166,"word_count":109,"indexable":14},"42668","¿Cuántas veces tendré que repetir ese evento para sacar la figurita que necesito?",105.18,108.5,{"idx":68,"utterance_id":168,"speaker_name":8,"speaker_slug":9,"text":169,"start_s":170,"end_s":171,"word_count":151,"indexable":14},"42669","N sobre N menos 1, más n sobre n menos 2, más, y así sucesivamente, hasta n sobre 2, más n sobre 1.",108.96,119,{"idx":173,"utterance_id":174,"speaker_name":8,"speaker_slug":9,"text":175,"start_s":176,"end_s":177,"word_count":63,"indexable":14},27,"42670","Entonces, aquí, observen que la n se repite.",119.68,121.68,{"idx":179,"utterance_id":180,"speaker_name":8,"speaker_slug":9,"text":181,"start_s":182,"end_s":183,"word_count":184,"indexable":14},28,"42671","Voy a poner la n en evidencia, entonces mi cantidad total será la n que multiplica 1 sobre n, más 1 sobre n menos 1, más 1 sobre n menos 2, más 1 medio.",122.16,135.14,36,{"idx":186,"utterance_id":187,"speaker_name":8,"speaker_slug":9,"text":188,"start_s":189,"end_s":190,"word_count":23,"indexable":14},29,"42672","Más 1.",135.56,136.34,{"idx":192,"utterance_id":193,"speaker_name":8,"speaker_slug":9,"text":194,"start_s":195,"end_s":196,"word_count":13,"indexable":14},30,"42673","Y esta serie armónica, podemos calcular su suma de la siguiente forma.",136.58,140.86,{"idx":198,"utterance_id":199,"speaker_name":8,"speaker_slug":9,"text":200,"start_s":201,"end_s":202,"word_count":61,"indexable":14},31,"42674","Aproximadamente el logaritmo natural de n más una constante.",141.66,146.44,{"idx":204,"utterance_id":205,"speaker_name":8,"speaker_slug":9,"text":206,"start_s":207,"end_s":208,"word_count":61,"indexable":14},32,"42675","Esa constante es muy común en la teoría de números.",146.9,148.92,{"idx":210,"utterance_id":211,"speaker_name":8,"speaker_slug":9,"text":212,"start_s":213,"end_s":214,"word_count":44,"indexable":14},33,"42676","Se llama constante de Euler-Mascheroni.",148.96,151.16,{"idx":216,"utterance_id":217,"speaker_name":8,"speaker_slug":9,"text":218,"start_s":219,"end_s":220,"word_count":42,"indexable":14},34,"42677","Y puede definirse como el límite de la diferencia entre el logaritmo natural y la serie armónica.",151.8,162.08,{"idx":222,"utterance_id":223,"speaker_name":8,"speaker_slug":9,"text":224,"start_s":225,"end_s":226,"word_count":21,"indexable":14},35,"42678","Y tiene un valor aproximado aquí.",162.6,164.72,{"idx":184,"utterance_id":228,"speaker_name":8,"speaker_slug":9,"text":229,"start_s":230,"end_s":231,"word_count":23,"indexable":14},"42679","de 0,58.",165.28,166.54,{"idx":233,"utterance_id":234,"speaker_name":8,"speaker_slug":9,"text":235,"start_s":236,"end_s":237,"word_count":80,"indexable":14},37,"42680","Sabiendo eso, ahora puedo calcular mi cantidad de figuritas.",167.72,171.86,{"idx":239,"utterance_id":240,"speaker_name":8,"speaker_slug":9,"text":241,"start_s":242,"end_s":243,"word_count":138,"indexable":14},38,"42681","Y mi cantidad de figuritas será N, que es 980, que multiplica el logaritmo natural de 980 más 0,58.",172.3,180.78,{"idx":245,"utterance_id":246,"speaker_name":8,"speaker_slug":9,"text":247,"start_s":248,"end_s":249,"word_count":63,"indexable":14},39,"42682","Logaritmo natural de 980, más o menos 6,88.",183.4,185.9,{"idx":251,"utterance_id":252,"speaker_name":8,"speaker_slug":9,"text":253,"start_s":254,"end_s":255,"word_count":115,"indexable":14},40,"42683","Entonces tendremos aquí que esto será 980, que multiplica 6,88 más 0,58.",186.04,194.18,{"idx":131,"utterance_id":257,"speaker_name":8,"speaker_slug":9,"text":258,"start_s":259,"end_s":260,"word_count":37,"indexable":14},"42684","Esto da 7,46.",195.48,196.7,{"idx":262,"utterance_id":263,"speaker_name":8,"speaker_slug":9,"text":264,"start_s":265,"end_s":266,"word_count":55,"indexable":14},42,"42685","Y este producto por 980, aproximadamente 7.311.",199.34,203.3,{"idx":268,"utterance_id":269,"speaker_name":8,"speaker_slug":9,"text":270,"start_s":271,"end_s":272,"word_count":63,"indexable":14},43,"42686","Entonces, mi cantidad de figuritas es esa.",205.94,208.44,{"idx":274,"utterance_id":275,"speaker_name":8,"speaker_slug":9,"text":276,"start_s":277,"end_s":278,"word_count":145,"indexable":14},44,"42687","Tendré que repetir el evento 7.311 veces para asegurar que tendré las 980 figuritas sin hacer ningún intercambio.",208.68,216.8,{"idx":280,"utterance_id":281,"speaker_name":8,"speaker_slug":9,"text":282,"start_s":283,"end_s":284,"word_count":49,"indexable":14},45,"42688","Como cada figurita cuesta un real, necesitaré gastar.",216.88,220.08,{"idx":143,"utterance_id":286,"speaker_name":8,"speaker_slug":9,"text":287,"start_s":288,"end_s":289,"word_count":23,"indexable":14},"42689","R$ 7.311.",223.26,223.3,{"idx":291,"utterance_id":292,"speaker_name":8,"speaker_slug":9,"text":293,"start_s":294,"end_s":295,"word_count":21,"indexable":14},47,"42690","Sabiendo eso, ¿cuál es el consejo?",224.32,226.46,{"idx":297,"utterance_id":298,"speaker_name":8,"speaker_slug":9,"text":299,"start_s":300,"end_s":301,"word_count":23,"indexable":14},48,"42691","Intercambia figuritas.",226.68,227.62,{"idx":303,"utterance_id":304,"speaker_name":8,"speaker_slug":9,"text":305,"start_s":306,"end_s":307,"word_count":198,"indexable":14},49,"42692","Puedes ir al parque, al centro comercial, con tus padres, con tus amigos, conversar mucho, hablar sobre la Copa del Mundo, intercambiar las figuritas y ahorrar una buena cantidad de dinero.",227.82,241.1,"es",{"job_id":310,"title":311,"source_url":312,"platform":313,"content_type":314,"published_at":315,"duration_sec":316,"n_classified":317,"speakers":318},"75c57b50-7073-4fb7-9fd4-def8d48f62cb","Tarcísio Gomes de Freitas - Figurinha repetida de novo? Calma! Vamos resolver isso daí.  No Desaf...","https:\u002F\u002Fx.com\u002Ftarcisiogdf\u002Fstatus\u002F2068653797434368377","twitter","video","2026-06-21T11:14:33Z",241.116,50,[319],{"name":8,"slug":9,"photo_url":320,"n_falas":317},"\u002Fprofiles\u002Ftarcisio\u002Fphoto.png",{"limit":49,"offset":6,"topics":322,"total":373},[323,328,333,338,343,348,353,358,363,368],{"label":324,"n_speakers":68,"n_utterances":325,"n_videos":326,"slug":327},"Seguridad Nacional",2804,197,"seguranca-nacional",{"label":329,"n_speakers":204,"n_utterances":330,"n_videos":331,"slug":332},"Educación",1730,234,"educacao",{"label":334,"n_speakers":151,"n_utterances":335,"n_videos":336,"slug":337},"Seguridad pública y orden",1580,244,"seguranca-publica-e-ordem",{"label":339,"n_speakers":210,"n_utterances":340,"n_videos":341,"slug":342},"Combate a la Impunidad",1500,298,"combate-a-impunidade",{"label":344,"n_speakers":204,"n_utterances":345,"n_videos":346,"slug":347},"Política 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