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İyi seyirler... Her Cuma saat 15.00'te yeni...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/1776935/14fb586727be0482753dfc0a32e4c965/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/uFvnGAIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"5","reqid":"1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL","summary":{"isFull":true,"fullTextUrl":"/video/result?ask_summarization=1&numdoc=1&noreask=1&nomisspell=1&parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=videoid:6339101873697758505","teaser":[{"list":{"type":"unordered","items":["Bu video, Veli Alper Döndaş tarafından sunulan tavla oyununun matematiksel analizini ve stratejilerini içeren bir eğitim içeriğidir.","Video, tavlanın M.Ö. 3000 civarında İran'da ortaya çıktığını anlatarak başlıyor ve ardından zar atma olasılıkları, özellikle iki zarın toplamının farklı değerlerinin gelme olasılıkları detaylı olarak inceleniyor. Daha sonra tavla oyununda stratejik hamleler, kapıların önemi ve rakip pullarının dışarı atılması için gerekli puan hesaplamaları örneklerle açıklanıyor.","Videoda ayrıca \"kumarbaz yanılgısı\" kavramı ele alınarak, zar atma olasılıklarını yanlış yorumlamaktan kaçınmanın önemi vurgulanmaktadır. \"Beş al altı'dan iki salla\", \"altı'dan beş ve iki salla\" ve \"hem beş'ten alan iki'den al\" gibi farklı stratejiler karşılaştırılarak, her birinin rakip için oyuna girme olasılıklarını ve kendi lehimize olan avantajlarını hesaplamaktadır. Video, tavla oyununun matematiğini günlük hayattaki uygulamalarına dair bir serinin parçası olarak sunulmaktadır."]},"endTime":1423,"title":"Tavlanın Matematiği ve Stratejileri","beginTime":0}],"fullResult":[{"index":0,"title":"Tavla Oyunu ve Matematiği","list":{"type":"unordered","items":["Veli Alper Döndaş, tavla oyununun matematiğini anlatacağını belirtiyor.","Tavla, kazanmak için hem şansın hem de strateji kurmanın belirleyici olduğu bir oyun.","Videoda tavlanın tarihi, şans durumları ve temel olasılık problemleri ele alınacak."]},"beginTime":0,"endTime":86,"href":"/video/preview/6339101873697758505?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=0&ask_summarization=1"},{"index":1,"title":"Tavlanın Tarihi","list":{"type":"unordered","items":["Tavlanın ilk atası MÖ 3000 civarında İran'da görülen bir masaüstü oyunu.","Bu oyunun farklı versiyonları Irak, Mısır ve İsrail'de de gözlemlenmiş.","Modern tavlanın atası 16. yüzyılda oynanan \"Irish\" isimli bir Anglo-Sakson oyunu."]},"beginTime":86,"endTime":150,"href":"/video/preview/6339101873697758505?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=86&ask_summarization=1"},{"index":2,"title":"Zarların Olasılıkları","list":{"type":"unordered","items":["İki zar atıldığında 36 farklı durum oluşur.","İki zarın toplamının 7 gelme olasılığı en yüksek olan değer (1/6).","Tavla oynarken rakibin 7 atabileceği yere risk alırken dikkatli olmak gerekir."]},"beginTime":150,"endTime":305,"href":"/video/preview/6339101873697758505?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=150&ask_summarization=1"},{"index":3,"title":"Tavla Oyununun Matematiksel Boyutu","list":{"type":"unordered","items":["Tavla oyununda 15 pul bulunur ve her pul 24 bölme ilerletilerek oyunun dışına atılır.","Oyunu kazanmak için toplam 167 puan ilerlemek gerekir.","Rakibin 167 puanını olabildiğince yukarı çekmek ve kendi 167 puanını olabildiğince az tutmak stratejik avantaj sağlar."]},"beginTime":305,"endTime":446,"href":"/video/preview/6339101873697758505?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=305&ask_summarization=1"},{"index":4,"title":"Tavla Stratejileri","list":{"type":"unordered","items":["Oyunun başında rakibin en öncelikli kapısını kapatmak önemlidir.","Rakibin kapısını kırmak, rakibin minimum 20 puan geri getirmek zorunda kalmasını sağlar.","Oyunun sonunda rakiple kafa kafaya giderken, rakibin kapısını kırmak stratejik avantaj sağlar."]},"beginTime":446,"endTime":586,"href":"/video/preview/6339101873697758505?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=446&ask_summarization=1"},{"index":5,"title":"Tavla Oyununda Stratejik Hamleler","list":{"type":"unordered","items":["Oyunda 51 puan elde edildiğinde, bir sonraki turda çift zar atmak gerekiyor.","Bir pulu alıp iki pul bırakmak, oyunu bitirmek için daha avantajlı bir hamle olabilir.","Olasılık hesaplamalarına göre, pulu alıp iki pul bırakmak oyunu kazanma ihtimalini dört katına çıkarabilir."]},"beginTime":588,"endTime":750,"href":"/video/preview/6339101873697758505?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=588&ask_summarization=1"},{"index":6,"title":"Oyunun Sonlarında Stratejik Kararlar","list":{"type":"unordered","items":["Oyunun sonlarında rakibi sıkıştırmışken, 63 puan elde edildiğinde dışarıdan bir altı zar atmak gerekir.","Rakibin pulu uzakta bırakmak yerine yakına getirmek, rakibin bizi kırma olasılığını azaltır.","Kumarbaz yanılgısı, bir zarın belirli bir sayıyı çok kez attığında, bir sonraki zarın aynı sayıyı atma olasılığının değişmeyeceği gerçeğini görmezden gelmektir."]},"beginTime":750,"endTime":1028,"href":"/video/preview/6339101873697758505?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=750&ask_summarization=1"},{"index":7,"title":"Son Durumda Stratejik Hamleler","list":{"type":"unordered","items":["Oyunun sonlarında rakibin kendi karesinde dört pulu kalmışken, 5-2 puan elde edildiğinde stratejik hamleler yapılmalıdır.","Rakibin belirli bir sayıyı çok kez attığında, bir sonraki zarın aynı sayıyı atma olasılığının değişmeyeceği gerçeğini unutmamak gerekir.","Rakibin belirli bir sayıyı hiç atamadığı veya çok attığı düşüncesiyle stratejik hamleler yapmak kumarbaz yanılgısına girer."]},"beginTime":1028,"endTime":1116,"href":"/video/preview/6339101873697758505?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=1028&ask_summarization=1"},{"index":8,"title":"Tavla Oyununda Matematiksel Stratejiler","list":{"type":"unordered","items":["Tavla oyununda rakip en az bir tane altı atarsa oyuna giriyor ve oyuncuyu kırıyor.","Altı atma olasılığı 11/36'dır ve bu durumda rakip oyuna ortak oluyor ve muhtemelen oyuncuyu mahvediyor.","Beş ve altı'dan iki salla stratejisi 11/36 ihtimalle oyuncuyu yok edecek bir strateji olabilir."]},"beginTime":1119,"endTime":1161,"href":"/video/preview/6339101873697758505?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=1119&ask_summarization=1"},{"index":9,"title":"Farklı Stratejilerin Analizi","list":{"type":"unordered","items":["Altı'dan beş ve iki salla stratejisi garantici bir oyun olarak değerlendiriliyor.","Bu stratejiyle rakip yine 11/36 olasılıkla oyuna giriyor ve devam ediyor.","Bazı oyuncular kırık verip rakibi vurmayı tercih edebilir, ancak bu da çok kaotik bir durum olduğu için 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Blackjack'in matematiğini kombinasyon hesabı ekseninde anlatıyorum. Tabi ki olayın matematiğinin çok daha farklı...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/4894725/505044c75e3658f23ab2c8b66dc904b3/564x318_1","videoSrc":"https://video-preview.s3.yandex.net/U_oqFwIAAAA.mp4","videoType":"video/mp4"},"target":"_self","position":"12","reqid":"1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D-LtAPU9444M","linkTemplate":"/video/preview/12619257822202323556?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Blackjack'in matematiği","related_orig_text":"Tech Malumat","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Tech 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Bunun için kullandığı varsayımlarla birlikte hesaplama yöntemini detaylıca açıkladım. İyi seyirler...","preview":{"posterSrc":"//avatars.mds.yandex.net/get-vthumb/3354977/1c6327814e5d382ce025fa5bd8a26154/564x318_1"},"target":"_self","position":"13","reqid":"1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL","summary":{"fullTextUrl":"/int_search_summary?data=http%3A%2F%2Fwww.youtube.com%2Fwatch%3Fv%3D0VP6XxNQfN0","linkTemplate":"/video/preview/2143629376022461724?parent-reqid=1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL&text=Tech+Malumat&t=%%timestamp%%&ask_summarization=1"},"isAdultDoc":false,"relatedParams":{"text":"Bir Çubukla Dünyanın Çevresini Ölçmek | Erathosthenes'in MÖ 250 Yılında Yaptığı Hesaplama","related_orig_text":"Tech Malumat","related_porno":false,"related_less_3m_off":true,"client":"d2d","no_cnt":1,"related_src":"serp","related":"{\"porno\":false,\"vfp\":1,\"orig_text\":\"Tech Malumat\",\"url\":\"http:\\/\\/www.youtube.com\\/watch?v=0VP6XxNQfN0\",\"src\":\"serp\",\"rvb\":\"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-AAAB_wAM_fcF-gf-AgP4DQH5_v0A-wYBCQgE_gD2-QD2AQAAAPf7_QL-AAAA_gP_Eff-AQAX9O8AAQAAAAn2AQbyAQAA9gv2Df8BAAAICO72Av8AAA4WCgEAAAAA_wL-__0B_wANEP8CAQAAAATjAf8BAAAAIAAt9JjQOzgTQAlITlACKnMQABpg4fkAVSH5K73y4-POJjMU6sIRBTquGf8HJQCeNdH8HhuwzdkX_xr9EAagAAAAHOYJ1j0A13-vBNreBUX6i_b5-hNfIw3b3AgQ_xXU7_gZ5Tz4CRhDAAXUz988CcI9KzkWIAAtgQEZOzgTQAlIb1ACKq8GEAwaoAYAALhBAAAIwgAAXEIAAEBBAAAQwQAAPMIAAGBCAACUwgAAlMIAAAhCAADIQQAAqEEAAJLCAAAAwQAAJEIAAATCAAD4wQAAUMEAAJjBAACQwgAAgMAAAOBAAAAQwQAAcEEAANRCAABEQgAAeMIAAFzCAACyQgAAkEIAAAAAAACgwAAANMIAAIJCAABUwgAAkEEAAHDBAACUQgAAsEEAAIA_AACIwQAA0EEAAHhCAACwQQAASEIAABDBAACgwQAABMIAALRCAACwwQAAIMEAAJhBAADAwAAAUEEAABTCAADowQAAkMEAAABAAACgQAAAhEIAAJjBAABgwQAAMMIAAIC_AABAwQAAqEEAAChCAADQwQAACMIAAIjBAAA4QgAACEIAAITCAABUQgAAKEIAAKbCAAAgwQAAcEEAABhCAABQwQAAyMEAAMjBAADAQAAAAMAAABBCAABAwQAAGMIAAFxCAABcQgAAUMIAAADAAAAIQgAAmEEAACDBAAAgQQAAdMIAADxCAABwQQAAFEIAAMDAAAAQwgAAcEIAAJhCAAAEwgAAaMIAADRCAABgwQAAMMEAAKDAAAAoQgAAyEEAAMBBAABwwQAAXMIAAKJCAACSQgAAAEEAANDBAABIwgAAfMIAAGDCAAAgwQAAmMEAADzCAABkQgAApkIAAHDBAADgwAAAiMEAAGzCAABQwQAAYMEAAADAAACuQgAAcEEAACzCAAAQQQAAoMAAAPjBAACIwgAAYEEAALjBAABQQgAAwMEAAIA_AABgwQAAuMEAANBBAAAQQQAAqEEAABRCAAAYQgAAQMEAAMDBAADIQQAAMMIAAJhBAABcwgAAyEEAAJBCAADIwQAATEIAANDBAADAQAAAgMEAAADCAAAAQAAAOMIAAEBAAAAkwgAAlMIAAFxCAAAAwAAAcEEAADxCAACwQQAAgEAAAHDBAADAQgAAFEIAAPDBAAAwwQAAgL8AADzCAACSQgAAMEEAAMjBAACWQgAAMEEAAIRCAAA8wgAAAMAAAABBAACQQQAAIMIAAADAAAAowgAAQEEAALDCAAAwwSAAOBNACUh1UAEqjwIQABqAAgAAmr4AAJg9AABUPgAA-L0AAAS-AABUPgAAtj4AABm_AABAvAAAbD4AADA9AAAcPgAAJD4AAIA7AAAMvgAALL4AAKC8AAD4vQAA7j4AAMI-AAB_PwAA_j4AALI-AADoPQAAyD0AAEA8AADIvQAAFL4AAMi9AACaPgAA4DwAAOC8AADCPgAAgDsAAKq-AADgvAAABD4AAAy-AAD6vgAATL4AAMg9AADCPgAApj4AACy-AAD4vQAAuD0AABA9AACgvAAA4LwAALq-AACKPgAARL4AAKY-AAC4PQAAoLwAAKC8AAAxPwAARL4AAKa-AADYPQAALL4AAOA8AACoPQAARL4gADgTQAlIfFABKo8CEAEagAIAALi9AABkPgAALD4AAAm_AAD4vQAAuL0AADQ-AAC4PQAAEL0AAOC8AACYPQAAqr4AAIi9AAC2vgAAoLwAAKg9AAAkPgAAHT8AAFC9AABQPQAAXD4AAFA9AAA0vgAAyL0AAJi9AAD4PQAALL4AAIg9AABUvgAAgLsAAPg9AAAMPgAAPL4AAEw-AADYPQAAMD0AAFQ-AAAwPQAA1r4AADy-AAD4PQAAcD0AADA9AAAQPQAAiL0AAKg9AAB_vwAA-D0AAOi9AAB0vgAA-D0AADQ-AACoPQAAED0AAOg9AACoPQAAQLwAABQ-AAAQvQAAUD0AADS-AAC2vgAAiL0AACw-IAA4E0AJSHxQATAJOAFKAGAAaAA,\"}","related_url":"http://www.youtube.com/watch?v=0VP6XxNQfN0","parent-reqid":"1769283741560498-4438713801324408460-balancer-l7leveler-kubr-yp-vla-252-BAL","related_vfp":1,"relatedVideo":"yes"},"cwidth":1280,"cheight":720,"cratio":1.77777,"dups":["2143629376022461724"],"episode":0,"season":0,"isEmbedOnly":false,"greenHost":"YouTube","hasTranslation":true,"contentTypeId":null,"censored":false},"12552058637604016852":{"videoId":"12552058637604016852","docid":"34-0-4-Z74A8D93A3DD16C98","description":"Son günlerde bölgede yaşanan gelişmeleri değerlendirdik. 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iyi mi kötü mü gittiğini anlamak için sadece borsa, enflasyon ve faiz oranlarına mı bakılır? 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