{"id":4205,"date":"2026-11-09T09:16:25","date_gmt":"2026-11-09T09:16:25","guid":{"rendered":"https:\/\/wpcalc.com\/tr\/yasam\/yazi-tura\/"},"modified":"2026-11-09T09:16:25","modified_gmt":"2026-11-09T09:16:25","slug":"yazi-tura","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/tr\/yasam\/yazi-tura\/","title":{"rendered":"Yaz\u0131 tura \u2013 tura m\u0131, yaz\u0131 m\u0131?"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Sanal para at<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"4205\" data-favorite-title=\"Yaz\u0131 Tura\" data-favorite-url=\"https:\/\/wpcalc.com\/tr\/yasam\/yazi-tura\/\" data-favorite-excerpt=\"Sanal bir para \u00e7evirin ve an\u0131nda tura m\u0131 yaz\u0131 m\u0131 sonucunu g\u00f6r\u00fcn. Ayn\u0131 anda ka\u00e7 para ve ka\u00e7 at\u0131\u015f yap\u0131laca\u011f\u0131n\u0131 se\u00e7in; oturum say\u0131lar\u0131n\u0131z\u0131, y\u00fczdeleri ve serileri takip edin.\" aria-label=\"Favorilere ekle\" data-favorite-icon=\"icon icon-life\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/tr\/yasam\/yazi-tura\/\" method=\"POST\" class=\"calculator\" id=\"calculator-4205\" data-post=\"4205\"><fieldset class=\"fieldset-input is-2\"><legend class=\"sr-only\">Giri\u015f alanlar\u0131<\/legend><div class=\"field\" id=\"input-1\"><label for=\"field-1\">At\u0131\u015f ba\u015f\u0131na para say\u0131s\u0131<\/label><input type=\"text\" name=\"at_bana_para_says\" id=\"field-1\" aria-describedby=\"calc-info-1\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" max=\"10\" value=\"1\"\/><small id=\"calc-info-1\">Tek bir at\u0131\u015fta ka\u00e7 paran\u0131n at\u0131laca\u011f\u0131n\u0131 belirler.<\/small><\/div><div class=\"field\" id=\"input-2\"><label for=\"field-2\">Bas\u0131\u015f ba\u015f\u0131na at\u0131\u015f say\u0131s\u0131<\/label><input type=\"text\" name=\"bas_bana_at_says\" id=\"field-2\" aria-describedby=\"calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" min=\"1\" max=\"1000\" value=\"1\"\/><small id=\"calc-info-2\">Her bas\u0131\u015fta bu say\u0131da ard\u0131\u015f\u0131k at\u0131\u015f yap\u0131l\u0131r; sonu\u00e7lar a\u015fa\u011f\u0131da listelenir.<\/small><\/div><div class=\"field\" id=\"input-3\"><label for=\"field-3\">Yaz\u0131 etiketi<\/label><input type=\"text\" name=\"yaz_etiketi\" id=\"field-3\" aria-describedby=\"calc-info-3\" placeholder=\"Yaz\u0131\" step=\"any\" value=\"Heads\"\/><small id=\"calc-info-3\">\u0130lk y\u00fcz i\u00e7in g\u00f6sterilecek \u00f6zel metin.<\/small><\/div><div class=\"field\" id=\"input-4\"><label for=\"field-4\">Tura etiketi<\/label><input type=\"text\" name=\"tura_etiketi\" id=\"field-4\" aria-describedby=\"calc-info-4\" placeholder=\"Tura\" step=\"any\" value=\"Tails\"\/><small id=\"calc-info-4\">\u0130kinci y\u00fcz i\u00e7in g\u00f6sterilecek \u00f6zel metin.<\/small><\/div><div class=\"field is-checkbox is-single\" id=\"input-5\"><input type=\"checkbox\" id=\"field-5\" value=\"1\"\/><label for=\"field-5\">Para at\u0131n (d\u00fc\u011fme tetikleyicisi)<\/label><\/div><div class=\"field is-checkbox is-single\" id=\"input-6\"><input type=\"checkbox\" id=\"field-6\" value=\"1\"\/><label for=\"field-6\">Sayac\u0131 s\u0131f\u0131rlay\u0131n (d\u00fc\u011fme tetikleyicisi)<\/label><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Yeniden hesapla\" id=\"calculate-button\" data-post=\"4205\">Hesapla<\/button><button type=\"reset\">S\u0131f\u0131rla<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Otomatik hesapla<\/label><small>Etkinle\u015ftirilirse, herhangi bir de\u011feri de\u011fi\u015ftirdi\u011finizde sonu\u00e7 otomatik olarak g\u00fcncellenir.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> At\u0131\u015f sonu\u00e7lar\u0131 ve oturum sayac\u0131<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Son at\u0131\u015f<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-2\"><span class=\"field-title\"><span>Yaz\u0131 say\u0131s\u0131<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-3\"><span class=\"field-title\"><span>Tura say\u0131s\u0131<\/span><\/span><span class=\"field-value\" id=\"result-3\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-4\"><span class=\"field-title\"><span>Yaz\u0131 oran\u0131<\/span><\/span><span class=\"field-value\" id=\"result-4\" data-unit=\"%\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-5\"><span class=\"field-title\"><span>Tura oran\u0131<\/span><\/span><span class=\"field-value\" id=\"result-5\" data-unit=\"%\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-6\"><span class=\"field-title\"><span>G\u00fcncel seri<\/span><\/span><span class=\"field-value\" id=\"result-6\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result\" id=\"output-7\"><span class=\"field-title\"><span>En uzun seri<\/span><\/span><span class=\"field-value\" id=\"result-7\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-8\"><span class=\"field-title\"><span>Bu bas\u0131\u015f\u0131n sonu\u00e7lar\u0131<\/span><\/span><span class=\"field-value\" id=\"result-8\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-9\"><span class=\"field-title\"><span>Son 20 sonu\u00e7<\/span><\/span><span class=\"field-value\" id=\"result-9\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-10\"><span class=\"field-title\"><span>Seriler neden olu\u015fur<\/span><\/span><span class=\"field-value\" id=\"result-10\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Sonucu kopyala\" aria-label=\"Sonucu kopyala\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Bu hesaplaman\u0131n ba\u011flant\u0131s\u0131n\u0131 kopyala<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Yorum b\u0131rak<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"4205\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Bu sonu\u00e7 hakk\u0131nda ne d\u00fc\u015f\u00fcn\u00fcyorsunuz?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Be\u011fendim <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Faydal\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Kafam kar\u0131\u015ft\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Hayal k\u0131r\u0131kl\u0131\u011f\u0131 <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Hatal\u0131 <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Yaz\u0131 tura olas\u0131l\u0131k form\u00fcl\u00fc<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Form\u00fcl<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ P(\\text{Tura}) = P(\\text{Yaz\\i}) = \\frac{1}{2} \\]\n\\[ P(\\text{\u00fcst \u00fcste } k \\text{ ayn\u0131 sonu\u00e7}) = \\left(\\frac{1}{2}\\right)^{k} \\]\n\\[ E(\\text{ } n \\text{ at\u0131\u015fta beklenen tura}) = n \\times \\frac{1}{2} = \\frac{n}{2} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Burada:<\/strong><\/p>\n<ul>\n<li>\\(P\\) \u2014 bir sonucun olas\u0131l\u0131\u011f\u0131 (kesir olarak 2'de 1 ya da %50)<\/li>\n<li>\\(k\\) \u2014 serinin uzunlu\u011fu, yani \u00fcst \u00fcste gelen ayn\u0131 sonu\u00e7 say\u0131s\u0131<\/li>\n<li>\\(n\\) \u2014 bir oturumdaki ya da toplu at\u0131\u015ftaki toplam at\u0131\u015f say\u0131s\u0131<\/li>\n<li>\\(E\\) \u2014 \u00e7ok say\u0131da at\u0131\u015fta beklenen (ortalama) tura say\u0131s\u0131<\/li>\n<\/ul>\n<p>Adil bir paran\u0131n iki e\u015fit olas\u0131l\u0131kl\u0131 sonucu vard\u0131r; bu y\u00fczden tek bir at\u0131\u015fta tura gelme olas\u0131l\u0131\u011f\u0131 \\(\\tfrac{1}{2}\\) olur. At\u0131\u015flar birbirinden ba\u011f\u0131ms\u0131z oldu\u011fundan \u00fcst \u00fcste \\(k\\) ayn\u0131 sonucun olas\u0131l\u0131\u011f\u0131 \\((\\tfrac{1}{2})^{k}\\) \u015feklindedir ve \\(k\\) b\u00fcy\u00fcd\u00fck\u00e7e h\u0131zla k\u00fc\u00e7\u00fcl\u00fcr.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>Yaz\u0131 tura \u2013 \u00f6rnek hesaplama<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>\u00d6rnek:<\/strong> hesaplay\u0131c\u0131y\u0131 her at\u0131\u015fta 1 para ve her bas\u0131\u015fta 10 at\u0131\u015f olacak \u015fekilde ayarl\u0131yorsunuz, ard\u0131ndan <strong>At<\/strong> d\u00fc\u011fmesine bas\u0131yorsunuz.<\/p>\n<p>10 sonucun her biri \\(\\tfrac{1}{2}\\) olas\u0131l\u0131kla turad\u0131r; dolay\u0131s\u0131yla tek bas\u0131\u015fta beklenen tura say\u0131s\u0131:<\/p>\n<p>\\[ E(\\text{Tura}) = 10 \\times \\frac{1}{2} = 5 \\]<\/p>\n<p>Bir bas\u0131\u015ftaki 10 paran\u0131n da ayn\u0131 y\u00fcz\u00fc g\u00f6sterme \u015fans\u0131, \u00f6rne\u011fin \u00fcst \u00fcste 10 tura gelmesi, \u015f\u00f6yledir:<\/p>\n<p>\\[ P(10 \\text{ Tura}) = \\left(\\frac{1}{2}\\right)^{10} = \\frac{1}{1024} \\approx 0.0977\\% \\]<\/p>\n<p><strong>Sonu\u00e7:<\/strong> uzun vadede her 10 at\u0131\u015fta yakla\u015f\u0131k 5 tura ve 5 yaz\u0131 bekleyin; tamam\u0131 tura gelen bir bas\u0131\u015f ise kabaca her 1.024 bas\u0131\u015fta bir g\u00f6r\u00fcl\u00fcr. Tek bas\u0131\u015flar bu ortalaman\u0131n etraf\u0131nda geni\u015f bir da\u011f\u0131l\u0131m g\u00f6sterir \u2014 bu normal rastgeleliktir, yanl\u0131l\u0131k de\u011fil.<\/p>\n<p>\n\r\n<\/section>\n<h2>Hesaplay\u0131c\u0131 nas\u0131l kullan\u0131l\u0131r?<\/h2>\n<ol>\n<li>Tek bir para yerine birden \u00e7ok paray\u0131 ayn\u0131 anda atmak istiyorsan\u0131z <strong>at\u0131\u015f ba\u015f\u0131na para say\u0131s\u0131n\u0131<\/strong> (1\u201310) ayarlay\u0131n.<\/li>\n<li>At\u0131\u015f\u0131 otomatik olarak tekrarlamak ve t\u00fcm sonu\u00e7lar\u0131 tek seferde toplama eklemek i\u00e7in <strong>bas\u0131\u015f ba\u015f\u0131na at\u0131\u015f say\u0131s\u0131n\u0131<\/strong> (1\u20131.000) ayarlay\u0131n.<\/li>\n<li>\u0130sterseniz <strong>tura etiketini<\/strong> ve <strong>yaz\u0131 etiketini<\/strong> d\u00fczenleyerek iki taraf\u0131 yeniden adland\u0131r\u0131n \u2014 \u00f6rne\u011fin \u201cPizza\u201d ile \u201cSushi\u201d aras\u0131nda karar verirken i\u015fe yarar.<\/li>\n<li>Atmak i\u00e7in b\u00fcy\u00fck <strong>At<\/strong> d\u00fc\u011fmesine bas\u0131n (ya da klavyede <strong>Bo\u015fluk<\/strong> veya <strong>Enter<\/strong> tu\u015funa dokunun). Son at\u0131\u015f, toplu at\u0131\u015f sonu\u00e7lar\u0131 ve g\u00fcncel say\u0131lar an\u0131nda yenilenir.<\/li>\n<li>T\u00fcm say\u0131lar\u0131, serileri ve ge\u00e7mi\u015fi temizlemek i\u00e7in <strong>S\u0131f\u0131rla<\/strong> d\u00fc\u011fmesine bas\u0131n. Sayfay\u0131 yeniledi\u011finizde say\u0131lar da otomatik olarak s\u0131f\u0131rlan\u0131r.<\/li>\n<li>Sonu\u00e7 alan\u0131n\u0131 izleyin: <strong>Son at\u0131\u015f<\/strong> animasyonlu paray\u0131 g\u00f6sterir; <strong>tura say\u0131s\u0131<\/strong>, <strong>yaz\u0131 say\u0131s\u0131<\/strong> ve iki <strong>oran<\/strong> alan\u0131 oturumunuzu izler; <strong>g\u00fcncel seri<\/strong> ve <strong>en uzun seri<\/strong> ise ayn\u0131 sonu\u00e7lardan olu\u015fan dizileri kaydeder.<\/li>\n<\/ol>\n<h2>Yaz\u0131 tura nedir ve neden i\u015fe yarar?<\/h2>\n<p>Yaz\u0131 tura, e\u015fit \u015fansl\u0131 iki se\u00e7enek aras\u0131nda se\u00e7im yapmak i\u00e7in kullan\u0131lan klasik y\u00f6ntemdir. Adil bir parada yaln\u0131zca iki olas\u0131 sonu\u00e7 vard\u0131r \u2014 tura veya yaz\u0131 \u2014 ve hi\u00e7biri di\u011ferinden daha olas\u0131 de\u011fildir. Bu y\u00fczden para atmak, bir beraberli\u011fi bozmak, kimin ba\u015flayaca\u011f\u0131n\u0131 belirlemek ya da arkada\u015f\u00e7a bir tart\u0131\u015fmay\u0131 bitirmek i\u00e7in yayg\u0131n bi\u00e7imde adil kabul edilir.<\/p>\n<p>Bu hesaplay\u0131c\u0131 her sonucu taray\u0131c\u0131n\u0131n kriptografik rastgele say\u0131 \u00fcreteciyle \u00fcretir ve her para i\u00e7in ba\u011f\u0131ms\u0131z, tarafs\u0131z bir rastgele bit \u00e7eker. B\u00f6ylece her at\u0131\u015f tam bir 50\/50 \u00e7ekili\u015f olur \u2014 hafif fiziksel yanl\u0131l\u0131\u011f\u0131 olabilecek ya da at\u0131l\u0131\u015f bi\u00e7iminden etkilenebilen ger\u00e7ek bir paran\u0131n aksine. Elde edilen sonu\u00e7, bir yaz\u0131l\u0131m\u0131n \u00fcretebilece\u011fi en kusursuz adil paraya en yak\u0131n oland\u0131r.<\/p>\n<p>S\u00fcregelen say\u0131lar rastgeleli\u011fi g\u00f6zler \u00f6n\u00fcnde sergiler. Birka\u00e7 at\u0131\u015ftan sonra tura oran\u0131 kolayca %70 veya %30 olabilir; ancak say\u0131 y\u00fczlerce at\u0131\u015fa ula\u015ft\u0131\u011f\u0131nda istikrarl\u0131 bi\u00e7imde %50'ye yakla\u015f\u0131r. Bu, b\u00fcy\u00fck say\u0131lar yasas\u0131d\u0131r: oranlar ger\u00e7ek olas\u0131l\u0131\u011fa ancak \u00e7ok say\u0131da denemede yakla\u015f\u0131rken, k\u00fc\u00e7\u00fck \u00f6rnekler g\u00fcr\u00fclt\u00fcl\u00fc kal\u0131r.<\/p>\n<p>Seri alanlar\u0131 yayg\u0131n bir sezgi tuza\u011f\u0131n\u0131 g\u00f6zler \u00f6n\u00fcne serer. Bir\u00e7ok ki\u015fi birka\u00e7 yaz\u0131dan sonra turan\u0131n \u201cs\u0131ras\u0131n\u0131n geldi\u011fini\u201d d\u00fc\u015f\u00fcn\u00fcr; oysa par\u0131n\u0131n haf\u0131zas\u0131 yoktur \u2014 \u00f6nceki sonu\u00e7lar ne olursa olsun her at\u0131\u015fta tura olas\u0131l\u0131\u011f\u0131 \\(\\tfrac{1}{2}\\) olur. \u0130kiden fazla se\u00e7enek aras\u0131nda karar vermeniz gerekiyorsa bunun yerine <a href=\"https:\/\/wpcalc.com\/en\/life\/yes-or-no-wheel\/\">Evet mi, Hay\u0131r m\u0131 \u00c7ark\u0131<\/a> ya da <a href=\"https:\/\/wpcalc.com\/tr\/yasam\/zar-atma\/\">Zar Atma<\/a> hesaplay\u0131c\u0131lar\u0131n\u0131 deneyin.<\/p>\n<h2>Seriler, olas\u0131l\u0131klar ve neler beklemelisiniz<\/h2>\n<p>Seriler \u015fa\u015f\u0131rt\u0131c\u0131 g\u00f6r\u00fcn\u00fcr ama basit bir matemati\u011fe uyar. \u00dcst \u00fcste \\(k\\) ayn\u0131 sonucun olas\u0131l\u0131\u011f\u0131 \\((\\tfrac{1}{2})^{k}\\) olur: 2 \u00fcst \u00fcste %25, 4 \u00fcst \u00fcste %6,25 ve 10 \u00fcst \u00fcste yakla\u015f\u0131k %0,098'dir. Tek ba\u015f\u0131na ele al\u0131nd\u0131\u011f\u0131nda elbette nadirdirler \u2014 ama y\u00fczlerce at\u0131\u015fl\u0131k uzun bir oturumda dizinin bir yerlerinde 6\u20138'lik seriler g\u00f6rmek tamamen normaldir. Hesaplay\u0131c\u0131, \u015fu ana kadarki en uzun serinizin olas\u0131l\u0131\u011f\u0131n\u0131 da g\u00f6stererek bu say\u0131y\u0131 ba\u011flama oturtur.<\/p>\n<p>Kaba bir alt\u0131n kural: \\(n\\) at\u0131\u015fta ayn\u0131 sonu\u00e7lardan olu\u015fan en uzun serinin uzunlu\u011fu genellikle \\(\\log_2 n\\) civar\u0131ndad\u0131r. 100 at\u0131\u015fta 6\u20137'lik, 1.000 at\u0131\u015fta 9\u201310'luk bir seri bekleyin. Daha uzun bir seri g\u00f6rmeniz \u201cparan\u0131n\u201d bozuk oldu\u011fu anlam\u0131na gelmez.<\/p>\n<h2>S\u0131n\u0131rlamalar ve pratik \u00f6neriler<\/h2>\n<ul>\n<li>Oturum say\u0131lar\u0131 yaln\u0131zca bellekte tutulur \u2014 sayfay\u0131 yenilemek ya da kapatmak bunlar\u0131 s\u0131f\u0131rlar. Kal\u0131c\u0131 bir kay\u0131t istiyorsan\u0131z say\u0131lar\u0131 kapanmadan \u00f6nce not edin.<\/li>\n<li>Her bas\u0131\u015fta ekranda en fazla 250 ayr\u0131 sonu\u00e7 listelenir; ancak her at\u0131\u015f her zaman say\u0131lara, oranlara ve serilere dahil edilir.<\/li>\n<li>Her at\u0131\u015fta birden \u00e7ok para kullan\u0131ld\u0131\u011f\u0131nda para g\u00f6stergesi toplu at\u0131\u015f\u0131n son paras\u0131n\u0131 g\u00f6sterir; tam da\u011f\u0131l\u0131m sonu\u00e7 listesinde yer al\u0131r.<\/li>\n<li>\u0130statistiksel olarak anlaml\u0131 y\u00fczdeler i\u00e7in tura oran\u0131n\u0131 de\u011ferlendirmeden \u00f6nce en az 100\u2013200 at\u0131\u015f yap\u0131n \u2014 k\u00fc\u00e7\u00fck \u00f6rnekler do\u011fal olarak %50'den \u00e7ok saptar.<\/li>\n<li>Olas\u0131l\u0131k deneylerini seviyorsan\u0131z <a href=\"https:\/\/wpcalc.com\/tr\/yasam\/poker-olasilik-hesaplayici-texas-holdem\/\">Poker Olas\u0131l\u0131k Hesaplay\u0131c\u0131s\u0131<\/a> ve <a href=\"https:\/\/wpcalc.com\/tr\/yasam\/piyango-sans-hesaplama\/\">Lotarya Olas\u0131l\u0131k Hesaplay\u0131c\u0131s\u0131<\/a>, yaz\u0131 tura mant\u0131\u011f\u0131n\u0131n daha karma\u015f\u0131k rastgele olaylara nas\u0131l \u00f6l\u00e7eklendi\u011fini g\u00f6sterir.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Sanal bir para \u00e7evirin ve an\u0131nda tura m\u0131 yaz\u0131 m\u0131 sonucunu g\u00f6r\u00fcn. Ayn\u0131 anda ka\u00e7 para ve ka\u00e7 at\u0131\u015f yap\u0131laca\u011f\u0131n\u0131 se\u00e7in; oturum say\u0131lar\u0131n\u0131z\u0131, y\u00fczdeleri ve serileri takip edin.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[9],"tags":[92],"class_list":["post-4205","post","type-post","status-publish","format-standard","hentry","category-yasam","tag-oyunlar-ve-sans"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4205","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/comments?post=4205"}],"version-history":[{"count":0,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/posts\/4205\/revisions"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/media?parent=4205"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/categories?post=4205"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/tr\/wp-json\/wp\/v2\/tags?post=4205"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}