[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"footer-top-topics-en":3,"transcript-75c57b50-7073-4fb7-9fd4-def8d48f62cb-en":64,"footer-top-speakers-en":373,"transcript-poster-75c57b50-7073-4fb7-9fd4-def8d48f62cb":476},{"limit":4,"offset":5,"topics":6,"total":63},10,0,[7,13,19,25,31,35,40,46,52,57],{"label":8,"n_speakers":9,"n_utterances":10,"n_videos":11,"slug":12},"National Security",26,2789,195,"seguranca-nacional",{"label":14,"n_speakers":15,"n_utterances":16,"n_videos":17,"slug":18},"Education",32,1727,233,"educacao",{"label":20,"n_speakers":21,"n_utterances":22,"n_videos":23,"slug":24},"Public Safety and Order",23,1580,244,"seguranca-publica-e-ordem",{"label":26,"n_speakers":27,"n_utterances":28,"n_videos":29,"slug":30},"Combating Impunity",33,1483,296,"combate-a-impunidade",{"label":32,"n_speakers":15,"n_utterances":28,"n_videos":33,"slug":34},"Monetary Policy",306,"politica-monetaria",{"label":36,"n_speakers":21,"n_utterances":37,"n_videos":38,"slug":39},"Judiciary",848,150,"poder-judiciario",{"label":41,"n_speakers":42,"n_utterances":43,"n_videos":44,"slug":45},"Public Service",28,800,181,"servico-publico",{"label":47,"n_speakers":48,"n_utterances":49,"n_videos":50,"slug":51},"Public Health \u002F Public Safety",25,759,141,"saude-publica-seguranca-publica",{"label":53,"n_speakers":42,"n_utterances":54,"n_videos":55,"slug":56},"Social Policy",693,200,"politica-social",{"label":58,"n_speakers":59,"n_utterances":60,"n_videos":61,"slug":62},"Fiscal Reform",22,671,134,"reforma-fiscal",630,{"falas":65,"lang":360,"meta":361},[66,75,82,89,96,103,109,115,121,127,132,137,143,148,154,159,165,171,177,182,189,194,201,206,211,217,222,227,233,239,245,251,257,262,267,273,279,284,290,296,302,308,313,319,325,331,337,342,348,354],{"idx":5,"utterance_id":67,"speaker_name":68,"speaker_slug":69,"text":70,"start_s":71,"end_s":72,"word_count":73,"indexable":74},"42643","Tarcisio","tarcisio","Folks, let's address a very important topic during World Cup time.",0.22,3.34,14,false,{"idx":76,"utterance_id":77,"speaker_name":68,"speaker_slug":69,"text":78,"start_s":79,"end_s":80,"word_count":81,"indexable":74},1,"42644","The World Cup sticker album.",4.28,5.66,6,{"idx":83,"utterance_id":84,"speaker_name":68,"speaker_slug":69,"text":85,"start_s":86,"end_s":87,"word_count":88,"indexable":74},2,"42645","My challenge today is a different challenge — the World Cup challenge.",6.68,9.18,12,{"idx":90,"utterance_id":91,"speaker_name":68,"speaker_slug":69,"text":92,"start_s":93,"end_s":94,"word_count":95,"indexable":74},3,"42646","And I want to know how much we need to spend to complete the World Cup album without trading any stickers.",9.36,16.62,20,{"idx":97,"utterance_id":98,"speaker_name":68,"speaker_slug":69,"text":99,"start_s":100,"end_s":101,"word_count":102,"indexable":74},4,"42647","And for that I initially need to know how many stickers our album has.",16.92,20.86,18,{"idx":104,"utterance_id":105,"speaker_name":68,"speaker_slug":69,"text":106,"start_s":107,"end_s":108,"word_count":4,"indexable":74},5,"42648","I'll call it n and n is equal to 980.",21.16,22.98,{"idx":81,"utterance_id":110,"speaker_name":68,"speaker_slug":69,"text":111,"start_s":112,"end_s":113,"word_count":114,"indexable":74},"42649","The World Cup album has 980 stickers.",23.54,25.4,7,{"idx":114,"utterance_id":116,"speaker_name":68,"speaker_slug":69,"text":117,"start_s":118,"end_s":119,"word_count":120,"indexable":74},"42650","Let's use probability and statistics to help us.",25.56,28.66,9,{"idx":122,"utterance_id":123,"speaker_name":68,"speaker_slug":69,"text":124,"start_s":125,"end_s":126,"word_count":9,"indexable":74},8,"42651","If I don't have any stickers and I'm going to take my first sticker, what's the probability that I get a sticker that I don't yet have?",28.92,34.74,{"idx":120,"utterance_id":128,"speaker_name":68,"speaker_slug":69,"text":129,"start_s":130,"end_s":131,"word_count":104,"indexable":74},"42652","The probability is exactly 1.",34.88,37.16,{"idx":4,"utterance_id":133,"speaker_name":68,"speaker_slug":69,"text":134,"start_s":135,"end_s":136,"word_count":104,"indexable":74},"42653","I don't have any stickers.",37.32,38.26,{"idx":138,"utterance_id":139,"speaker_name":68,"speaker_slug":69,"text":140,"start_s":141,"end_s":142,"word_count":138,"indexable":74},11,"42654","I'll certainly draw a sticker I don't have.",38.48,40.62,{"idx":88,"utterance_id":144,"speaker_name":68,"speaker_slug":69,"text":145,"start_s":146,"end_s":147,"word_count":122,"indexable":74},"42655","Now I'm getting to the very end of the album.",40.92,42.84,{"idx":149,"utterance_id":150,"speaker_name":68,"speaker_slug":69,"text":151,"start_s":152,"end_s":153,"word_count":97,"indexable":74},13,"42656","I already have 979 stickers.",43.04,45.66,{"idx":73,"utterance_id":155,"speaker_name":68,"speaker_slug":69,"text":156,"start_s":157,"end_s":158,"word_count":48,"indexable":74},"42657","What is the probability, assuming that the probability of drawing any sticker is the same, that I draw exactly the sticker I need?",45.82,52.34,{"idx":160,"utterance_id":161,"speaker_name":68,"speaker_slug":69,"text":162,"start_s":163,"end_s":164,"word_count":114,"indexable":74},15,"42658","And I'll call this P980.",52.46,53.28,{"idx":166,"utterance_id":167,"speaker_name":68,"speaker_slug":69,"text":168,"start_s":169,"end_s":170,"word_count":114,"indexable":74},16,"42659","This probability will be 1 over 980.",55.1,57.32,{"idx":172,"utterance_id":173,"speaker_name":68,"speaker_slug":69,"text":174,"start_s":175,"end_s":176,"word_count":95,"indexable":74},17,"42660","What is the probability that I draw, then, the sticker I need, knowing that I already have K stickers?",59.02,64.9,{"idx":102,"utterance_id":178,"speaker_name":68,"speaker_slug":69,"text":179,"start_s":180,"end_s":181,"word_count":160,"indexable":74},"42661","That probability will be... n minus k over n. And that is important information.",65.1,71.32,{"idx":183,"utterance_id":184,"speaker_name":68,"speaker_slug":69,"text":185,"start_s":186,"end_s":187,"word_count":188,"indexable":74},19,"42662","Because if I know that the probability of getting a sticker I don't yet have, given I have k stickers, is this, how many times will I have to repeat an event to draw exactly the sticker I want?",71.48,81.74,41,{"idx":95,"utterance_id":190,"speaker_name":68,"speaker_slug":69,"text":191,"start_s":192,"end_s":193,"word_count":97,"indexable":74},"42663","The inverse of the probability.",82,83.5,{"idx":195,"utterance_id":196,"speaker_name":68,"speaker_slug":69,"text":197,"start_s":198,"end_s":199,"word_count":200,"indexable":74},21,"42664","That is, 1 over p or n over n minus k. Knowing the number of events I need to perform to draw that sticker I need, it's possible to calculate the total number of stickers I'll need, which will be the sum of those events.",83.66,97.56,46,{"idx":59,"utterance_id":202,"speaker_name":68,"speaker_slug":69,"text":203,"start_s":204,"end_s":205,"word_count":88,"indexable":74},"42665","So Q — I'll call this Q — will be equal to",97.68,100.24,{"idx":21,"utterance_id":207,"speaker_name":68,"speaker_slug":69,"text":208,"start_s":209,"end_s":210,"word_count":120,"indexable":74},"42666","When K is zero, N over N, plus",100.4,103.3,{"idx":212,"utterance_id":213,"speaker_name":68,"speaker_slug":69,"text":214,"start_s":215,"end_s":216,"word_count":114,"indexable":74},24,"42667","In the next event, I'll already have one sticker.",103.5,105.02,{"idx":48,"utterance_id":218,"speaker_name":68,"speaker_slug":69,"text":219,"start_s":220,"end_s":221,"word_count":166,"indexable":74},"42668","How many times will I have to repeat this event to draw the sticker I need?",105.18,108.5,{"idx":9,"utterance_id":223,"speaker_name":68,"speaker_slug":69,"text":224,"start_s":225,"end_s":226,"word_count":21,"indexable":74},"42669","N over N minus 1, plus N over N minus 2, plus, and so on, up to N over 2, plus N over 1.",108.96,119,{"idx":228,"utterance_id":229,"speaker_name":68,"speaker_slug":69,"text":230,"start_s":231,"end_s":232,"word_count":122,"indexable":74},27,"42670","So here, notice that the n repeats.",119.68,121.68,{"idx":42,"utterance_id":234,"speaker_name":68,"speaker_slug":69,"text":235,"start_s":236,"end_s":237,"word_count":238,"indexable":74},"42671","I'll factor out the n, so my total will be the n that multiplies 1 over n, plus 1 over n minus 1, plus 1 over n minus 2, plus 1 over 2.",122.16,135.14,36,{"idx":240,"utterance_id":241,"speaker_name":68,"speaker_slug":69,"text":242,"start_s":243,"end_s":244,"word_count":83,"indexable":74},29,"42672","Plus 1.",135.56,136.34,{"idx":246,"utterance_id":247,"speaker_name":68,"speaker_slug":69,"text":248,"start_s":249,"end_s":250,"word_count":73,"indexable":74},30,"42673","And the sum of this harmonic series can be calculated as follows.",136.58,140.86,{"idx":252,"utterance_id":253,"speaker_name":68,"speaker_slug":69,"text":254,"start_s":255,"end_s":256,"word_count":120,"indexable":74},31,"42674","Approximately the natural log of n plus a constant.",141.66,146.44,{"idx":15,"utterance_id":258,"speaker_name":68,"speaker_slug":69,"text":259,"start_s":260,"end_s":261,"word_count":120,"indexable":74},"42675","This constant is very common in number theory.",146.9,148.92,{"idx":27,"utterance_id":263,"speaker_name":68,"speaker_slug":69,"text":264,"start_s":265,"end_s":266,"word_count":104,"indexable":74},"42676","It is called the Euler-Mascheroni constant.",148.96,151.16,{"idx":268,"utterance_id":269,"speaker_name":68,"speaker_slug":69,"text":270,"start_s":271,"end_s":272,"word_count":102,"indexable":74},34,"42677","And it can be defined as the limit of the difference between the natural logarithm and the harmonic series.",151.8,162.08,{"idx":274,"utterance_id":275,"speaker_name":68,"speaker_slug":69,"text":276,"start_s":277,"end_s":278,"word_count":81,"indexable":74},35,"42678","And it has an approximate value here.",162.6,164.72,{"idx":238,"utterance_id":280,"speaker_name":68,"speaker_slug":69,"text":281,"start_s":282,"end_s":283,"word_count":83,"indexable":74},"42679","of 0.58.",165.28,166.54,{"idx":285,"utterance_id":286,"speaker_name":68,"speaker_slug":69,"text":287,"start_s":288,"end_s":289,"word_count":138,"indexable":74},37,"42680","Knowing that, I can now calculate my number of stickers.",167.72,171.86,{"idx":291,"utterance_id":292,"speaker_name":68,"speaker_slug":69,"text":293,"start_s":294,"end_s":295,"word_count":195,"indexable":74},38,"42681","And my number of stickers will be N, which is 980, times the natural logarithm of 980 plus 0.58.",172.3,180.78,{"idx":297,"utterance_id":298,"speaker_name":68,"speaker_slug":69,"text":299,"start_s":300,"end_s":301,"word_count":122,"indexable":74},39,"42682","Natural logarithm of 980, more or less 6.88.",183.4,185.9,{"idx":303,"utterance_id":304,"speaker_name":68,"speaker_slug":69,"text":305,"start_s":306,"end_s":307,"word_count":172,"indexable":74},40,"42683","So we will have here that this will be 980 times 6.88 plus 0.58.",186.04,194.18,{"idx":188,"utterance_id":309,"speaker_name":68,"speaker_slug":69,"text":310,"start_s":311,"end_s":312,"word_count":97,"indexable":74},"42684","That gives 7.46.",195.48,196.7,{"idx":314,"utterance_id":315,"speaker_name":68,"speaker_slug":69,"text":316,"start_s":317,"end_s":318,"word_count":114,"indexable":74},42,"42685","And that multiplied by 980 is approximately 7,311.",199.34,203.3,{"idx":320,"utterance_id":321,"speaker_name":68,"speaker_slug":69,"text":322,"start_s":323,"end_s":324,"word_count":122,"indexable":74},43,"42686","So, that's my number of stickers.",205.94,208.44,{"idx":326,"utterance_id":327,"speaker_name":68,"speaker_slug":69,"text":328,"start_s":329,"end_s":330,"word_count":59,"indexable":74},44,"42687","I will have to repeat the event 7,311 times to guarantee that I'll have the 980 stickers without making any trades.",208.68,216.8,{"idx":332,"utterance_id":333,"speaker_name":68,"speaker_slug":69,"text":334,"start_s":335,"end_s":336,"word_count":4,"indexable":74},45,"42688","Since each sticker costs one real, I will need to spend",216.88,220.08,{"idx":200,"utterance_id":338,"speaker_name":68,"speaker_slug":69,"text":339,"start_s":340,"end_s":341,"word_count":83,"indexable":74},"42689","R$ 7,311.",223.26,223.3,{"idx":343,"utterance_id":344,"speaker_name":68,"speaker_slug":69,"text":345,"start_s":346,"end_s":347,"word_count":81,"indexable":74},47,"42690","Knowing that, what's the tip?",224.32,226.46,{"idx":349,"utterance_id":350,"speaker_name":68,"speaker_slug":69,"text":351,"start_s":352,"end_s":353,"word_count":83,"indexable":74},48,"42691","Trade stickers.",226.68,227.62,{"idx":355,"utterance_id":356,"speaker_name":68,"speaker_slug":69,"text":357,"start_s":358,"end_s":359,"word_count":252,"indexable":74},49,"42692","You can go to the park, to the mall, with your parents, with your friends, talk a lot, talk about the World Cup, trade stickers and save a lot of money.",227.82,241.1,"en",{"job_id":362,"title":363,"source_url":364,"platform":365,"content_type":366,"published_at":367,"duration_sec":368,"n_classified":369,"speakers":370},"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,[371],{"name":68,"slug":69,"photo_url":372,"n_falas":369},"\u002Fprofiles\u002Ftarcisio\u002Fphoto.png",{"limit":4,"offset":5,"speakers":374,"total":285},[375,389,400,411,421,432,440,449,456,465],{"slug":376,"name":377,"party":378,"role":378,"state":378,"n_speeches":379,"consistency_score":5,"top_topics":380,"photo_url":384,"bio_short":378,"wikidata_id":385,"mandate_status":386,"social_links":387},"renan-santos","Renan Santos","",22525,[381,382,383],"Abuse of Authority","Administrative and Labor Reform","Affirmative action","\u002Fprofiles\u002Frenan-santos\u002Fphoto.png","Q51882553","none",{"twitter":388},"@RenanSantosMBL",{"slug":390,"name":391,"party":378,"role":378,"state":392,"n_speeches":393,"consistency_score":5,"top_topics":394,"bio_short":378,"wikidata_id":398,"mandate_status":386,"social_links":399},"fernando-haddad","Fernando Haddad","SP",14336,[395,396,397],"Agricultural Policy","Agriculture & Agribusiness","Anti-Discrimination","Q3069485",{},{"slug":401,"name":402,"party":378,"role":378,"state":403,"n_speeches":404,"consistency_score":5,"top_topics":405,"photo_url":407,"bio_short":378,"wikidata_id":408,"mandate_status":386,"social_links":409},"romeu-zema","Romeu Zema","MG",12888,[396,406,397],"Amnesty and Jan 8 Characterization","\u002Fprofiles\u002Fromeu-zema\u002Fphoto.png","Q57092113",{"twitter":410},"@RomeuZema",{"slug":412,"name":413,"party":378,"role":378,"state":378,"n_speeches":414,"consistency_score":5,"top_topics":415,"bio_short":378,"mandate_status":386,"social_links":418},"pablo-marcal","Pablo Marçal",12772,[395,416,417],"Business Environment","Campaign Financing",{"twitter":419,"youtube":420},"@pablomarcal","https:\u002F\u002Fwww.youtube.com\u002F@pablomarcall",{"slug":422,"name":423,"party":378,"role":378,"state":424,"n_speeches":425,"consistency_score":5,"top_topics":426,"photo_url":428,"bio_short":378,"wikidata_id":429,"mandate_status":386,"social_links":430},"ronaldo-caiado","Ronaldo Caiado","GO",12538,[382,383,427],"Agribusiness & Regional Development","\u002Fprofiles\u002Fronaldo-caiado\u002Fphoto.png","Q10364348",{"twitter":431},"@ronaldocaiado",{"slug":69,"name":68,"party":378,"role":433,"state":392,"n_speeches":434,"consistency_score":5,"top_topics":435,"photo_url":372,"bio_short":378,"wikidata_id":437,"mandate_status":386,"social_links":438},"Governador",11477,[436,395,396],"Age of Criminal Responsibility","Q60392579",{"twitter":439},"tarcisiogdf",{"slug":441,"name":442,"party":378,"role":378,"state":378,"n_speeches":443,"consistency_score":5,"top_topics":444,"photo_url":446,"bio_short":378,"wikidata_id":447,"mandate_status":386,"social_links":448},"luis-inacio-lula-da-silva","Luis Inacio Lula da Silva",10531,[395,396,445],"Benefits fraud & efficiency","\u002Fprofiles\u002Fluis-inacio-lula-da-silva\u002Fphoto.png","Q37181",{},{"slug":450,"name":451,"party":378,"role":378,"state":378,"n_speeches":452,"consistency_score":5,"top_topics":453,"bio_short":378,"mandate_status":386,"social_links":455},"augusto-cury","Augusto Cury",8912,[427,454,395],"Agribusiness \u002F Environment",{},{"slug":457,"name":458,"party":378,"role":378,"state":392,"n_speeches":459,"consistency_score":5,"top_topics":460,"photo_url":461,"bio_short":378,"wikidata_id":462,"mandate_status":386,"social_links":463},"kim-kataguiri","Kim Kataguiri",8748,[382,436,396],"\u002Fprofiles\u002Fkim-kataguiri\u002Fphoto.png","Q21715169",{"twitter":464},"@KimKataguiri",{"slug":466,"name":467,"party":378,"role":378,"state":468,"n_speeches":469,"consistency_score":5,"top_topics":470,"photo_url":472,"bio_short":378,"wikidata_id":473,"mandate_status":386,"social_links":474},"flavio-bolsonaro","Flavio Bolsonaro","RJ",8066,[395,396,471],"Anti-Fascism","\u002Fprofiles\u002Fflavio-bolsonaro\u002Fphoto.png","Q10283057",{"twitter":475},"@FlavioBolsonaro","https:\u002F\u002Fpbs.twimg.com\u002Famplify_video_thumb\u002F2068652317881077761\u002Fimg\u002FYyr17Z_m-I1hsnyV.jpg?name=orig"]