{"id":15587,"date":"2023-02-26T05:54:31","date_gmt":"2023-02-26T02:54:31","guid":{"rendered":"https:\/\/www.karekod.org\/blog\/?p=15587"},"modified":"2024-08-01T01:39:10","modified_gmt":"2024-07-31T22:39:10","slug":"yazi-tura","status":"publish","type":"post","link":"https:\/\/www.karekod.org\/blog\/yazi-tura\/","title":{"rendered":"Yaz\u0131 Tura Tarih\u00e7esi (Olas\u0131l\u0131k Teorisi)"},"content":{"rendered":"\n<p>Yaz\u0131 tura oyunu, tarihi \u00e7ok eskilere dayanan bir oyundur ve kayna\u011f\u0131 kesin olarak bilinmemektedir.<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_82_2 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">\u0130\u00e7indekiler<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"\u0130\u00e7indekiler Tablosunu A\u00e7\/Kapat\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Yazi_Tura_Oyunu\" >Yaz\u0131 Tura Oyunu<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Nasil_Oynanir\" >Nas\u0131l Oynan\u0131r?<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Matematik_ve_Yazi_Tura_Iliskisi\" >Matematik ve Yaz\u0131 Tura \u0130li\u015fkisi<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Olasilik_Teorisi_Nedir\" >Olas\u0131l\u0131k Teorisi Nedir?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Binom_Dagilimi_Nedir\" >Binom Da\u011f\u0131l\u0131m\u0131 Nedir?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Yazi_Tura_Olasilik_Hesaplama\" >Yaz\u0131 Tura Olas\u0131l\u0131k Hesaplama<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Tarihi_Kararlar_ve_Yazi_Tura\" >Tarihi Kararlar ve Yaz\u0131 Tura<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Az_Bilinenler\" >Az Bilinenler<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-9\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Google_Yazi_Tura_At_Ozelligi\" >Google Yaz\u0131 Tura At \u00d6zelli\u011fi<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-10\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Bonus_Filmlerde_Yazi_Tura\" >Bonus: Filmlerde Yaz\u0131 Tura<\/a><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5' ><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-11\" href=\"https:\/\/www.karekod.org\/blog\/yazi-tura\/#Ilgili_Baglantilar\" >\u0130lgili Ba\u011flant\u0131lar<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n\n\n\n\n<p>Antik Roma d\u00f6neminde, para atma oyunlar\u0131 olduk\u00e7a pop\u00fclerdi. Bu oyunlar genellikle iki taraf aras\u0131nda oynan\u0131rd\u0131. \u0130ki taraf aras\u0131ndaki bahisler, at\u0131lan paran\u0131n yaz\u0131 ya da tura gelip gelmeyece\u011fine dayan\u0131yordu.<\/p>\n\n\n\n<p>Oyunun, <strong>modern versiyonu ise 18. y\u00fczy\u0131lda \u0130ngiltere&#8217;de ortaya \u00e7\u0131km\u0131\u015ft\u0131r<\/strong>. Bu versiyonda, iki taraf aras\u0131ndaki bahisler, para at\u0131ld\u0131ktan sonra yaz\u0131 ya da tura sonucunu tahmin etmeye dayan\u0131yordu. Oyun, zamanla pop\u00fclerlik kazanarak g\u00fcn\u00fcm\u00fcze kadar gelmi\u015ftir.<\/p>\n\n\n\n<p>G\u00fcn\u00fcm\u00fczde, ma\u00e7larda kura \u00e7ekmek, karar vermek ya da e\u011flence ama\u00e7l\u0131 olarak kullan\u0131labilir. Dilersen \u015fimdi online <a href=\"https:\/\/www.karekod.org\/blog\/yazi-tura-at\/\">yaz\u0131 tura at<\/a> oyunu oynayabilirsin.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Yazi_Tura_Oyunu\"><\/span>Yaz\u0131 Tura Oyunu<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-1024x1024.jpg\" alt=\"Yaz\u0131 Tura Oyunu\" class=\"wp-image-15615\" srcset=\"https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu.jpg 1024w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-300x300.jpg 300w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-150x150.jpg 150w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-768x768.jpg 768w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-730x730.jpg 730w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-350x350.jpg 350w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Madeni Paralar<\/figcaption><\/figure>\n\n\n\n<p>Oyun, genellikle iki taraf aras\u0131nda oynan\u0131r ve bir para kullan\u0131larak yap\u0131l\u0131r. Paran\u0131n bir y\u00fcz\u00fcne &#8220;<strong>yaz\u0131<\/strong>&#8220;, di\u011fer y\u00fcz\u00fcne &#8220;<strong>tura<\/strong>&#8221; yaz\u0131l\u0131r ve para havaya at\u0131l\u0131r. <em>Paran\u0131n hangi y\u00fcz\u00fc yukar\u0131da kal\u0131rsa, o taraf kazan\u0131r.<\/em><\/p>\n\n\n\n<p>Basit bir \u015fans oyunudur ve sonucu \u00f6nceden tahmin etmek m\u00fcmk\u00fcn de\u011fildir. \u00d6rne\u011fin, bir ma\u00e7ta hangi tak\u0131m\u0131n ilk vuru\u015fu yapaca\u011f\u0131na karar vermek i\u00e7in, iki tak\u0131m aras\u0131nda madeni para at\u0131l\u0131r. \u0130ki insan aras\u0131nda bir konuda karar vermek i\u00e7in de kullan\u0131labilir.<\/p>\n\n\n\n<p>Oyun, matematik ve olas\u0131l\u0131k hesaplamalar\u0131nda da s\u0131k s\u0131k kullan\u0131l\u0131r. <strong>Olas\u0131l\u0131k teorisi, bir para atma oyununun sonucunu tahmin etmek i\u00e7in kullan\u0131lan bir matematiksel teoridir.<\/strong><\/p>\n\n\n\n<p>Sonu\u00e7 olarak, bir\u00e7ok farkl\u0131 ama\u00e7 i\u00e7in kullan\u0131labilen basit bir oyun olmas\u0131na ra\u011fmen, olas\u0131l\u0131k teorisi ve matematiksel hesaplamalar gibi daha karma\u015f\u0131k konularda da kullan\u0131labilen \u00f6nemli bir ara\u00e7t\u0131r.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Nasil_Oynanir\"><\/span>Nas\u0131l Oynan\u0131r?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Bir madeni paray\u0131 al\u0131n ve elinizle tutun.<\/li>\n\n\n\n<li>Paran\u0131n &#8220;yaz\u0131&#8221; ve &#8220;tura&#8221; olarak i\u015faretlenmi\u015f iki y\u00fcz\u00fc oldu\u011fundan emin olun.<\/li>\n\n\n\n<li>Paran\u0131n y\u00fcz\u00fcn\u00fc belirlemek i\u00e7in, \u00f6nce elinizde tuttu\u011funuz paray\u0131 dikey olarak parmaklar\u0131n\u0131z\u0131n aras\u0131nda tutun.<\/li>\n\n\n\n<li>Parmaklar\u0131n\u0131z\u0131n \u00fcst taraf\u0131nda olan y\u00fcz &#8220;yaz\u0131&#8221;, alt taraf\u0131nda olan y\u00fcz ise &#8220;tura&#8221; olacakt\u0131r.<\/li>\n\n\n\n<li>Paran\u0131n y\u00fcz\u00fcn\u00fc belirledikten sonra, parma\u011f\u0131n\u0131z\u0131 kald\u0131rarak madeni paray\u0131 havaya at\u0131n.<\/li>\n\n\n\n<li>Madeni para havada iken, hangi y\u00fcz\u00fc yukar\u0131 do\u011fru gelece\u011fine karar veremeyece\u011finiz bir rastgelelikle d\u00f6necektir.<\/li>\n\n\n\n<li>Madeni para yere d\u00fc\u015f\u00fcnce, y\u00fcz\u00fcne bak\u0131n ve sonucu belirleyin.<\/li>\n<\/ol>\n\n\n\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Matematik_ve_Yazi_Tura_Iliskisi\"><\/span>Matematik ve Yaz\u0131 Tura \u0130li\u015fkisi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Olas\u0131l\u0131k, Rastgelelik ve Matematik Felsefesi \u2013 Prof. Dr. Ali Nesin\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/WAL0HA8TYSI?start=107&#038;feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">Ali Nesin &#8211; Olas\u0131l\u0131k, Rastgelelik ve Matematik Felsefesi<\/figcaption><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Olas\u0131l\u0131k: <\/strong>Olas\u0131l\u0131k teorisinin temel konular\u0131ndan biridir. Para at\u0131ld\u0131\u011f\u0131nda, yaz\u0131 ya da tura gelme olas\u0131l\u0131\u011f\u0131 %50&#8217;dir. \u00d6zellikle olas\u0131l\u0131k hesaplamalar\u0131nda s\u0131kl\u0131kla kullan\u0131lan basit bir \u00f6rnektir.<\/li>\n\n\n\n<li><strong>Binom Da\u011f\u0131l\u0131m\u0131:<\/strong> Binom da\u011f\u0131l\u0131m\u0131 olarak adland\u0131r\u0131lan matematiksel bir konuda da kullan\u0131l\u0131r. Binom da\u011f\u0131l\u0131m\u0131, bir deneme s\u0131ras\u0131nda iki sonu\u00e7 aras\u0131ndan birinin se\u00e7ildi\u011fi durumlarda kullan\u0131l\u0131r.<\/li>\n\n\n\n<li><strong>Karar Verme Problemleri:<\/strong> Bir \u015firketin iki farkl\u0131 pazarlama stratejisi aras\u0131nda bir se\u00e7im yapmas\u0131 gerekti\u011finde, bu oyun kullanarak bir karar verilebilir.<\/li>\n\n\n\n<li><strong>Oyun Teorisi:<\/strong> \u0130ki ya da daha fazla ki\u015fi aras\u0131nda bir oyun oynand\u0131\u011f\u0131nda, her bir oyuncunun en iyi stratejisini belirlemeye \u00e7al\u0131\u015fan bir matematik dal\u0131d\u0131r.<\/li>\n\n\n\n<li><strong>\u0130statistik:<\/strong> Bir para 100 kez at\u0131ld\u0131\u011f\u0131nda, ka\u00e7 kez yaz\u0131 ya da tura geldi\u011fini hesaplamak i\u00e7in istatistiksel y\u00f6ntemler kullan\u0131l\u0131r. Bu t\u00fcr istatistiksel hesaplamalar, pazarlama, finans, bilim ve di\u011fer bir\u00e7ok alanda kullan\u0131l\u0131r.<\/li>\n\n\n\n<li><strong>Matematiksel Modeller:<\/strong> Matematiksel modellerin olu\u015fturulmas\u0131nda da kullan\u0131labilir. Matematiksel modeller, belirli bir sistemi veya durumu matematiksel bir yap\u0131ya d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in kullan\u0131lan ara\u00e7lard\u0131r. \u00c7e\u015fitli durumlar i\u00e7in matematiksel modellerin olu\u015fturulmas\u0131nda bir \u00f6rnek olarak kullan\u0131labilir.<\/li>\n<\/ol>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Sadece basit bir \u015fans oyunu olman\u0131n \u00f6tesinde, matematik ve istatistikte \u00f6nemli bir konudur. Oyununun matematiksel ve istatistiksel analizleri, bir\u00e7ok farkl\u0131 alanda kullan\u0131lan \u00f6nemli ara\u00e7lar sa\u011flar.<\/p>\n<cite>Karekod Blog<\/cite><\/blockquote>\n\n\n\n<p>Madeni para at\u0131\u015f\u0131n\u0131n sonucu, madeni paran\u0131n a\u011f\u0131rl\u0131\u011f\u0131, \u015fekli, havada d\u00f6nme h\u0131z\u0131, yere d\u00fc\u015fme yeri gibi fakt\u00f6rler taraf\u0131ndan etkilenebilir. Bu nedenle, tamamen rastgele bir sonu\u00e7 sa\u011flamak i\u00e7in, adil bir madeni para kullan\u0131lmas\u0131 ve at\u0131\u015f\u0131n e\u015fit ko\u015fullarda yap\u0131lmas\u0131 \u00f6nemlidir.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Olasilik_Teorisi_Nedir\"><\/span>Olas\u0131l\u0131k Teorisi Nedir?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-image size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" width=\"768\" height=\"512\" src=\"https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/matematik-yazi-tura.jpg\" alt=\"Matematik\" class=\"wp-image-15616\" style=\"width:840px;height:560px\" srcset=\"https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/matematik-yazi-tura.jpg 768w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/matematik-yazi-tura-300x200.jpg 300w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/matematik-yazi-tura-730x487.jpg 730w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/matematik-yazi-tura-350x233.jpg 350w\" sizes=\"auto, (max-width: 768px) 100vw, 768px\" \/><figcaption class=\"wp-element-caption\">Matematik Binom<\/figcaption><\/figure>\n\n\n\n<p>Rastgele olaylar\u0131n olas\u0131l\u0131klar\u0131n\u0131 ve bu olaylar\u0131n \u00f6zelliklerini matematiksel olarak analiz etmek i\u00e7in kullan\u0131lan bir matematik dal\u0131d\u0131r. Olas\u0131l\u0131k teorisi, herhangi bir belirsizli\u011fi matematiksel olarak modeller ve hesaplar.<\/p>\n\n\n\n<p>Olas\u0131l\u0131k teorisi, matematiksel istatistik, bilgisayar bilimi, fizik, m\u00fchendislik, ekonomi ve di\u011fer bir\u00e7ok disiplinde kullan\u0131l\u0131r. \u00d6zellikle finans, risk y\u00f6netimi, makine \u00f6\u011frenimi ve yapay zeka gibi alanlarda olas\u0131l\u0131k teorisi \u00e7ok \u00f6nemlidir.<\/p>\n\n\n\n<p>\u0130ki temel yakla\u015f\u0131mdan olu\u015fur: klasik olas\u0131l\u0131k ve istatistiksel olas\u0131l\u0131k. Klasik olas\u0131l\u0131k, deneysel sonu\u00e7lar\u0131n say\u0131sal olarak elde edilmesine dayanarak kesin bir sonuca ula\u015fmak i\u00e7in kullan\u0131l\u0131rken, istatistiksel olas\u0131l\u0131k, deneylerin bir grup veriye dayand\u0131\u011f\u0131 durumlarda kullan\u0131l\u0131r.<\/p>\n\n\n\n<p>Olas\u0131l\u0131k teorisi, her t\u00fcrl\u00fc olas\u0131 sonu\u00e7lar\u0131 dikkate al\u0131r ve bunlar\u0131 matematiksel olarak modellemek i\u00e7in \u00e7e\u015fitli ara\u00e7lar ve teknikler kullan\u0131r. Bu ara\u00e7lar aras\u0131nda olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131, Bayes teoremi, Monte Carlo y\u00f6ntemi ve rassal s\u00fcre\u00e7ler bulunur.<\/p>\n\n\n\n<p>Olas\u0131l\u0131k teorisi, pek \u00e7ok farkl\u0131 alanda kullan\u0131ld\u0131\u011f\u0131 i\u00e7in, herhangi bir problemin \u00e7\u00f6z\u00fcm\u00fcnde b\u00fcy\u00fck bir rol oynayabilir. \u00d6rne\u011fin, finansal piyasalarda risk y\u00f6netimi, t\u0131pta te\u015fhis, m\u00fchendislikte tasar\u0131m ve kalite kontrol, i\u015fletmelerde karar verme s\u00fcre\u00e7leri gibi alanlarda olas\u0131l\u0131k teorisi kullan\u0131lmaktad\u0131r.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Binom_Dagilimi_Nedir\"><\/span>Binom Da\u011f\u0131l\u0131m\u0131 Nedir?<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Bir deneme s\u0131ras\u0131nda iki sonu\u00e7 aras\u0131ndan birinin se\u00e7ildi\u011fi ve her denemede sonu\u00e7lar\u0131n birbirinden ba\u011f\u0131ms\u0131z oldu\u011fu durumlarda kullan\u0131lan bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131d\u0131r.<\/p>\n\n\n\n<p>\u00d6rne\u011fin, bir para at\u0131ld\u0131\u011f\u0131nda, ya yaz\u0131 ya da tura gelir. Bu durum, binom da\u011f\u0131l\u0131m\u0131 ile modellenebilir. Burada, ba\u015far\u0131 olarak tan\u0131mlanan sonucun yaz\u0131 gelmesi ve ba\u015far\u0131s\u0131zl\u0131k olarak tan\u0131mlanan sonucun tura gelmesi durumu s\u00f6z konusudur. Her bir at\u0131\u015f\u0131n sonucu, di\u011fer at\u0131\u015flardan ba\u011f\u0131ms\u0131zd\u0131r ve her at\u0131\u015fta ba\u015far\u0131 ya da ba\u015far\u0131s\u0131zl\u0131k olas\u0131l\u0131\u011f\u0131 ayn\u0131d\u0131r. Bu nedenle, bir n say\u0131s\u0131nda para at\u0131\u015f\u0131 sonucunda ba\u015far\u0131 say\u0131s\u0131n\u0131n olas\u0131l\u0131\u011f\u0131 binom da\u011f\u0131l\u0131m\u0131 ile hesaplanabilir.<\/p>\n\n\n\n<p>Binom da\u011f\u0131l\u0131m\u0131, \u00f6zellikle m\u00fchendislik, ekonomi, psikoloji, biyoloji ve di\u011fer bir\u00e7ok alanda kullan\u0131l\u0131r. \u00d6rne\u011fin, bir ila\u00e7 testi, belirli bir hastal\u0131\u011f\u0131 tespit etmek i\u00e7in kullan\u0131ld\u0131\u011f\u0131nda, testin do\u011frulu\u011fu ve yanl\u0131\u015f pozitif sonu\u00e7lar\u0131n olas\u0131l\u0131\u011f\u0131, binom da\u011f\u0131l\u0131m\u0131 hesaplamalar\u0131 kullan\u0131larak hesaplanabilir. Binom da\u011f\u0131l\u0131m\u0131 ayr\u0131ca, bir se\u00e7im anketinde belirli bir aday\u0131n kazanma olas\u0131l\u0131\u011f\u0131n\u0131n hesaplanmas\u0131 veya bir yeni \u00fcr\u00fcn\u00fcn piyasaya s\u00fcr\u00fclmesi i\u00e7in m\u00fc\u015fterilerin tercihlerinin belirlenmesi gibi bir\u00e7ok farkl\u0131 uygulamada kullan\u0131labilir.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Yazi_Tura_Olasilik_Hesaplama\"><\/span>Yaz\u0131 Tura Olas\u0131l\u0131k Hesaplama<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-1-1024x683.jpg\" alt=\"Olas\u0131l\u0131k Hesaplama\" class=\"wp-image-15621\" srcset=\"https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-1-1024x683.jpg 1024w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-1-300x200.jpg 300w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-1-768x512.jpg 768w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-1-730x487.jpg 730w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-1-350x233.jpg 350w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-1-1100x733.jpg 1100w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/yazi-tura-oyunu-1.jpg 1200w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Olas\u0131l\u0131k Hesaplama<\/figcaption><\/figure>\n\n\n\n<p>Olas\u0131 sonu\u00e7lar yaz\u0131 ve turad\u0131r. \u0130ki olas\u0131 sonu\u00e7 oldu\u011fundan, her birinin ortaya \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131 1\/2&#8217;dir.<\/p>\n\n\n\n<p>E\u011fer bir para at\u0131\u015f\u0131 yap\u0131l\u0131rsa, ya yaz\u0131 ya da tura gelir. Bu, tek bir at\u0131\u015fta, sadece bir sonucun ger\u00e7ekle\u015fece\u011fi anlam\u0131na gelir. Bu nedenle, bir para at\u0131\u015f\u0131nda, yaz\u0131 ya da tura gelme olas\u0131l\u0131\u011f\u0131 %50&#8217;dir veya 0,5&#8217;tir.<\/p>\n\n\n\n<p><strong>\u0130ki para at\u0131\u015f\u0131nda, sonu\u00e7lar\u0131n s\u0131rayla gelme olas\u0131l\u0131klar\u0131 \u015f\u00f6yledir:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Yaz\u0131-yaz\u0131: (1\/2) x (1\/2) = 1\/4 veya %25<\/li>\n\n\n\n<li>Yaz\u0131-tura: (1\/2) x (1\/2) = 1\/4 veya %25<\/li>\n\n\n\n<li>Tura-yaz\u0131: (1\/2) x (1\/2) = 1\/4 veya %25<\/li>\n\n\n\n<li>Tura-tura: (1\/2) x (1\/2) = 1\/4 veya %25<\/li>\n<\/ul>\n\n\n\n<p>Bu, iki para at\u0131\u015f\u0131nda herhangi bir s\u0131ran\u0131n gelme olas\u0131l\u0131\u011f\u0131n\u0131n 1\/4 veya %25 oldu\u011fu anlam\u0131na gelir.<\/p>\n\n\n\n<p><strong>\u00dc\u00e7 para at\u0131\u015f\u0131nda, sonu\u00e7lar\u0131n s\u0131rayla gelme olas\u0131l\u0131klar\u0131 \u015f\u00f6yledir:<\/strong><\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>Yaz\u0131-yaz\u0131-yaz\u0131: (1\/2) x (1\/2) x (1\/2) = 1\/8 veya %12,5<\/li>\n\n\n\n<li>Yaz\u0131-yaz\u0131-tura: (1\/2) x (1\/2) x (1\/2) = 1\/8 veya %12,5<\/li>\n\n\n\n<li>Yaz\u0131-tura-yaz\u0131: (1\/2) x (1\/2) x (1\/2) = 1\/8 veya %12,5<\/li>\n\n\n\n<li>Yaz\u0131-tura-tura: (1\/2) x (1\/2) x (1\/2) = 1\/8 veya %12,5<\/li>\n\n\n\n<li>Tura-yaz\u0131-yaz\u0131: (1\/2) x (1\/2) x (1\/2) = 1\/8 veya %12,5<\/li>\n\n\n\n<li>Tura-yaz\u0131-tura: (1\/2) x (1\/2) x (1\/2) = 1\/8 veya %12,5<\/li>\n\n\n\n<li>Tura-tura-yaz\u0131: (1\/2) x (1\/2) x (1\/2) = 1\/8 veya %12,5<\/li>\n\n\n\n<li>Tura-tura-tura: (1\/2) x (1\/2) x (1\/2) = 1\/8 veya %12,5<\/li>\n<\/ul>\n\n\n\n<p>Bu, \u00fc\u00e7 para at\u0131\u015f\u0131nda herhangi bir s\u0131ran\u0131n gelme olas\u0131l\u0131\u011f\u0131n\u0131n 1\/8 veya %12,5 oldu\u011fu anlam\u0131na gelir.<\/p>\n\n\n\n<p><em>Bu \u015fekilde devam ederek, daha fazla para at\u0131\u015f\u0131 durumunda, sonu\u00e7lar\u0131n s\u0131rayla gelme olas\u0131l\u0131klar\u0131, her bir sonucun ortaya \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131 \u00fczerinden hesaplanabilir.<\/em><\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Tarihi_Kararlar_ve_Yazi_Tura\"><\/span>Tarihi Kararlar ve Yaz\u0131 Tura<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Tarihte en \u00fcnl\u00fc yaz\u0131 tura kararlar\u0131ndan biri, ABD tarihindeki en \u00f6nemli kararlardan biri olan 1803 y\u0131l\u0131nda Louisiana B\u00f6lgesi&#8217;nin Fransa&#8217;dan sat\u0131n al\u0131nmas\u0131d\u0131r. ABD Ba\u015fkan\u0131 Thomas Jefferson, Louisiana B\u00f6lgesi&#8217;ni sat\u0131n almak i\u00e7in Frans\u0131z h\u00fck\u00fcmeti ile m\u00fczakere etti\u011finde, son teklifi kabul etmek ya da etmemek konusunda karars\u0131z kalm\u0131\u015ft\u0131. Jefferson, sonunda karar\u0131 belirlemek i\u00e7in bir yaz\u0131 tura atarak, son teklifi kabul etme karar\u0131 alm\u0131\u015ft\u0131.<\/p>\n\n\n\n<p>Bir di\u011fer ilgin\u00e7 yaz\u0131 tura hikayesi, 1951 y\u0131l\u0131nda, New York Giants ve Brooklyn Dodgers aras\u0131ndaki play-off ma\u00e7\u0131n\u0131n kazanan\u0131n\u0131n belirlenmesinde kullan\u0131lm\u0131\u015ft\u0131r. O d\u00f6nemde, iki tak\u0131m\u0131n kazand\u0131\u011f\u0131 ma\u00e7 say\u0131s\u0131 e\u015fitti ve sezonun galibi, bir play-off ma\u00e7\u0131n\u0131n kazanan\u0131 taraf\u0131ndan belirlenecekti. Ancak ma\u00e7\u0131n yap\u0131ld\u0131\u011f\u0131 g\u00fcn hava ko\u015fullar\u0131 k\u00f6t\u00fcyd\u00fc ve ma\u00e7\u0131n ertelenmesi gerekiyordu. Ma\u00e7\u0131n ertelenmesi konusunda anla\u015fmaya var\u0131lamay\u0131nca, hakemler yaz\u0131 tura atarak ma\u00e7\u0131n ertelenmesine karar verdiler. Sonu\u00e7ta, Giants ma\u00e7\u0131 kazand\u0131 ve sezonun galibi oldu.<\/p>\n\n\n\n<h3 class=\"wp-block-heading wp-embed-aspect-16-9 wp-has-aspect-ratio\"><span class=\"ez-toc-section\" id=\"Az_Bilinenler\"><\/span>Az Bilinenler<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<ol class=\"wp-block-list\">\n<li>Oyununun k\u00f6keni, antik Roma ve Yunanistan&#8217;a kadar uzan\u0131r. O d\u00f6nemlerde, insanlar para yerine ta\u015flar veya kemikler kullan\u0131yorlard\u0131.<\/li>\n\n\n\n<li>Bir para at\u0131l\u0131rken, havada hangi taraf\u0131n gelece\u011fini belirleyen fakt\u00f6rlerden biri de para at\u0131\u015f\u0131n\u0131n ba\u015flama pozisyonudur. At\u0131\u015f\u0131n h\u0131z\u0131, a\u00e7\u0131s\u0131, d\u00f6n\u00fc\u015f\u00fc ve di\u011fer fakt\u00f6rler, sonucu etkileyebilir.<\/li>\n\n\n\n<li>Bir\u00e7ok k\u00fclt\u00fcrde farkl\u0131 anlamlar ta\u015f\u0131r. \u00d6rne\u011fin, baz\u0131lar\u0131 i\u00e7in yaz\u0131 \u015fans, tura ise kaderi temsil eder. Baz\u0131lar\u0131 i\u00e7in yaz\u0131 erkek, tura kad\u0131n anlam\u0131na gelir.<\/li>\n\n\n\n<li>Baz\u0131 insanlar, oynamadan \u00f6nce paray\u0131 \u0131s\u0131tman\u0131n sonucu etkileyebilece\u011fine inan\u0131yorlar. Ancak bu, tamamen bir efsanedir. Havada hangi taraf\u0131n gelece\u011fi, paray\u0131 \u0131s\u0131tmak gibi fakt\u00f6rlerden etkilenmez.<\/li>\n\n\n\n<li>Basit bir \u015fans oyunu olmas\u0131na ra\u011fmen, matematik ve istatistikte \u00f6nemli bir konudur. Olas\u0131l\u0131k teorisinde ve binom da\u011f\u0131l\u0131m\u0131 gibi bir\u00e7ok matematiksel konuda kullan\u0131labilir.<\/li>\n\n\n\n<li>Ayn\u0131 zamanda dil \u00f6\u011freniminde de kullan\u0131labilir. \u00d6rne\u011fin, bir \u00f6\u011frenci, &#8220;Yaz\u0131 m\u0131 tura m\u0131?&#8221; sorusunu kullanarak, bir kelimenin ne anlama geldi\u011fini veya c\u00fcmledeki bo\u015flu\u011fun nas\u0131l doldurulaca\u011f\u0131n\u0131 \u00f6\u011frenebilir.<\/li>\n<\/ol>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p>Yaz\u0131 tura oyunu, \u0130ngiltere&#8217;de yasaklanm\u0131\u015ft\u0131. 1569&#8217;da Krali\u00e7e I. Elizabeth, t\u00fcm d\u00fc\u011f\u00fcnlerde ve resmi toplant\u0131larda oynanmas\u0131n\u0131 yasakland\u0131\u011f\u0131n\u0131 ilan etmi\u015fti.<\/p>\n<cite>Karekod Blog<\/cite><\/blockquote>\n\n\n\n<div class=\"schema-faq wp-block-yoast-faq-block\"><div class=\"schema-faq-section\" id=\"faq-question-1677268501853\"><strong class=\"schema-faq-question\">Roma d\u00f6neminde madeni para \u015fekilleri nas\u0131ld\u0131?<\/strong> <p class=\"schema-faq-answer\">Madeni paralar\u0131n y\u00fczleri genellikle tanr\u0131lar ve liderlerin portreleriyle i\u015faretlenmi\u015fti. Bir\u00e7ok ki\u015fi, madeni paray\u0131 atarak sava\u015flar\u0131 kazanmak veya kararlar almak gibi bir\u00e7ok ama\u00e7 i\u00e7in kullanm\u0131\u015ft\u0131r.<\/p> <\/div> <\/div>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Google_Yazi_Tura_At_Ozelligi\"><\/span>Google Yaz\u0131 Tura At \u00d6zelli\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"737\" src=\"https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/google-yazi-tura-1024x737.png\" alt=\"Google Yaz\u0131 Tura\" class=\"wp-image-15589\" srcset=\"https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/google-yazi-tura-1024x737.png 1024w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/google-yazi-tura-300x216.png 300w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/google-yazi-tura-768x553.png 768w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/google-yazi-tura-730x525.png 730w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/google-yazi-tura-350x252.png 350w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/google-yazi-tura-1100x792.png 1100w, https:\/\/www.karekod.org\/blog\/wp-content\/uploads\/2023\/02\/google-yazi-tura.png 1306w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><figcaption class=\"wp-element-caption\">Google Yaz\u0131-Tura<\/figcaption><\/figure>\n\n\n\n<p>Google&#8217;\u0131n arama motorunun en e\u011flenceli \u00f6zelliklerinden biridir. A\u015fa\u011f\u0131daki ad\u0131mlar\u0131 takip ederek hemen deneyebilirsiniz:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><a href=\"https:\/\/www.google.com.tr\/\" target=\"_blank\" rel=\"noreferrer noopener\">Google<\/a> Arama \u00e7ubu\u011funa &#8220;yaz\u0131 tura at&#8221; yaz\u0131n.<\/li>\n\n\n\n<li>Burada, &#8220;Yaz\u0131&#8221; ve &#8220;Tura&#8221; butonlar\u0131na sahip bir g\u00f6r\u00fcnt\u00fc g\u00f6receksiniz.<\/li>\n\n\n\n<li>&#8220;Yaz\u0131&#8221; veya &#8220;Tura&#8221; butonlar\u0131ndan birine t\u0131klay\u0131n ve sonucu g\u00f6r\u00fcn.<\/li>\n\n\n\n<li>\u0130sterseniz, daha fazla kez oynamak i\u00e7in &#8220;Yeniden Dene&#8221; butonuna t\u0131klayabilirsiniz.<\/li>\n<\/ol>\n\n\n\n<p>Bu \u015fekilde, h\u0131zl\u0131 ve kolay bir \u015fekilde oyununu Google \u00fczerinden oynayabilirsiniz.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Bonus_Filmlerde_Yazi_Tura\"><\/span>Bonus: Filmlerde Yaz\u0131 Tura<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>Yaz\u0131-Tura hikayenin gidi\u015fat\u0131n\u0131 veya karakterlerin kararlar\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r. \u0130\u015fte baz\u0131 \u00f6rnekler:<\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"No Country For Old Men - Yaz\u0131 Tura Sahnesi (T\u00fcrk\u00e7e Altyaz\u0131l\u0131)\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/PvdC9nb6atM?start=36&#038;feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">No Country For Old Men<\/figcaption><\/figure>\n\n\n\n<ol class=\"wp-block-list\">\n<li>&#8220;No Country for Old Men&#8221; (2007) filminde, karakter \u00e7antay\u0131 almak i\u00e7in madeni para atar ve sonu\u00e7lar beklenmedik sonu\u00e7lar do\u011furur.<\/li>\n<\/ol>\n\n\n\n<ol class=\"wp-block-list\">\n<li>&#8220;The Dark Knight&#8221; (2008) filminde, Joker, iki yolun kesi\u015fti\u011fi bir noktada Batman ile kar\u015f\u0131 kar\u015f\u0131ya gelir ve madeni para atarak hayatta kalacak olan\u0131 belirler.<\/li>\n\n\n\n<li>&#8220;The Prestige&#8221; (2006) filminde, iki sihirbaz aras\u0131ndaki rekabet, bir madeni para at\u0131\u015f\u0131 s\u0131ras\u0131nda belirlenir ve sonu\u00e7lar\u0131 film boyunca devam eder.<\/li>\n\n\n\n<li>&#8220;The Place Beyond the Pines&#8221; (2012) filminde, bir karakterin kaderi, di\u011fer karakterin madeni para atmas\u0131yla belirlenir ve sonu\u00e7lar ilerleyen zamanlarda ortaya \u00e7\u0131kar.<\/li>\n<\/ol>\n\n\n\n<p>Bu filmlerde madeni para at\u0131\u015f\u0131, hikayenin gidi\u015fat\u0131n\u0131 belirlemek i\u00e7in s\u0131kl\u0131kla kullan\u0131l\u0131r ve karakterlerin alacaklar\u0131 kararlar\u0131 rastgelele\u015ftirme ile sonu\u00e7lar\u0131n beklenmedik olmas\u0131n\u0131 sa\u011flar.<\/p>\n\n\n\n<h5 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Ilgili_Baglantilar\"><\/span>\u0130lgili Ba\u011flant\u0131lar<span class=\"ez-toc-section-end\"><\/span><\/h5>\n\n\n\n<p><a href=\"https:\/\/www.karekod.org\/blog\/tanitim-yazisi\/\" target=\"_blank\" rel=\"noreferrer noopener\">Tan\u0131t\u0131m Yaz\u0131s\u0131<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.karekod.org\/blog\/blog-nedir-ne-ise-yarar\/\" target=\"_blank\" rel=\"noreferrer noopener\">Blog Nedir?<\/a><\/p>\n\n\n\n<p><a href=\"https:\/\/www.karekod.org\/blog\/pomak-nedir-pomakca-ve-pomaklarin-tarihi\/\" target=\"_blank\" rel=\"noreferrer noopener\">Pomak<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Yaz\u0131 tura oyunu, tarihi \u00e7ok eskilere dayanan bir oyundur ve kayna\u011f\u0131 kesin olarak bilinmemektedir. Antik Roma d\u00f6neminde, para atma oyunlar\u0131 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":15617,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[3304,3310,3311,3309,3306,3307,3308],"class_list":["post-15587","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-pozitif","tag-google-yazi-tura","tag-madeni-para-atisi","tag-olasilik-teorisi","tag-yazi-mi-tura-mi","tag-yazi-tura","tag-yazi-tura-at","tag-yazi-tura-atma"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Yaz\u0131 Tura Tarih\u00e7esi (Olas\u0131l\u0131k Teorisi) - Karekod Blog<\/title>\n<meta name=\"description\" content=\"Yaz\u0131 Tura, Antik Roma d\u00f6neminde, para atma oyunlar\u0131 olduk\u00e7a pop\u00fclerdi. 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