{"id":377,"date":"2023-08-01T13:12:05","date_gmt":"2023-08-01T13:12:05","guid":{"rendered":"https:\/\/statorials.org\/tr\/olasilik-aksiyomlari\/"},"modified":"2023-08-01T13:12:05","modified_gmt":"2023-08-01T13:12:05","slug":"olasilik-aksiyomlari","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/olasilik-aksiyomlari\/","title":{"rendered":"Olas\u0131l\u0131k aksiyomlar\u0131"},"content":{"rendered":"<p>Bu makale olas\u0131l\u0131k aksiyomlar\u0131n\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece olas\u0131l\u0131\u011f\u0131n aksiyomatik tan\u0131m\u0131n\u0131, farkl\u0131 olas\u0131l\u0131k aksiyomlar\u0131n\u0131n neler oldu\u011funu ve bunlar\u0131n uygulanmas\u0131na ili\u015fkin bir \u00f6rne\u011fi bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-los-3-axiomas-de-la-probabilidad\"><\/span> Olas\u0131l\u0131\u011f\u0131n 3 aksiyomu nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Olas\u0131l\u0131k aksiyomlar\u0131<\/strong> \u015funlard\u0131r:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Olas\u0131l\u0131k Aksiyomu 1<\/strong> : Bir olay\u0131n olas\u0131l\u0131\u011f\u0131 negatif olamaz.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Olas\u0131l\u0131k Aksiyomu 2<\/strong> : Belirli bir olay\u0131n olas\u0131l\u0131\u011f\u0131 1&#8217;dir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Olas\u0131l\u0131k Aksiyomu 3<\/strong> : Bir dizi \u00f6zel olay\u0131n olas\u0131l\u0131\u011f\u0131, t\u00fcm olas\u0131l\u0131klar\u0131n toplam\u0131na e\u015fittir.<\/span><\/li>\n<\/ol>\n<p> Olas\u0131l\u0131\u011f\u0131n \u00fc\u00e7 aksiyomu ayn\u0131 zamanda <strong>Kolmogorov aksiyomlar\u0131<\/strong> olarak da bilinir \u00e7\u00fcnk\u00fc bunlar 1933&#8217;te bu Rus matematik\u00e7i taraf\u0131ndan form\u00fcle edilmi\u015ftir.<\/p>\n<p> Her olas\u0131l\u0131k aksiyomu t\u00fcr\u00fc a\u015fa\u011f\u0131da daha ayr\u0131nt\u0131l\u0131 olarak a\u00e7\u0131klanmaktad\u0131r.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"axioma-1\"><\/span> Aksiyom 1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Olas\u0131l\u0131\u011f\u0131n ilk aksiyomu,<\/strong> bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131n negatif olamayaca\u011f\u0131n\u0131 ve bu nedenle de\u011ferinin 0 ile 1 aras\u0131nda oldu\u011funu s\u00f6yler.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-60e0ca200964690b247a4dd29a7533ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0\\leq P(A)\\leq 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"105\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bir olay\u0131n olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131r ise bu, onun ger\u00e7ekle\u015fmesinin imkans\u0131z oldu\u011fu anlam\u0131na gelir. \u00d6te yandan bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 1 ise bu olay\u0131n mutlaka ger\u00e7ekle\u015fece\u011fi anlam\u0131na gelir. Yani bir olay\u0131n olas\u0131l\u0131k de\u011feri ne kadar y\u00fcksekse, ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 da o kadar y\u00fcksektir.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"axioma-2\"><\/span> aksiyom 2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u0130kinci olas\u0131l\u0131k aksiyomu,<\/strong> belirli bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131n 1&#8217;e e\u015fit oldu\u011funu belirtir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3bce9a4bd2e6e64bfb5c0563de6106a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\Omega)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"72\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Belirli bir olay, her zaman ger\u00e7ekle\u015fecek olan rastgele bir deneyimin sonucudur. Bu nedenle g\u00fcvenli bir olay, rastgele bir deneyin \u00f6rnek uzay\u0131 olarak da tan\u0131mlanabilir. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/olay-olayi\/\">G\u00fcvenli olay<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"axioma-3\"><\/span> Aksiyom 3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u00dc\u00e7\u00fcnc\u00fc olas\u0131l\u0131k aksiyomu<\/strong> , bir dizi \u00f6zel olay verildi\u011finde, t\u00fcm olaylar\u0131n ortak olas\u0131l\u0131\u011f\u0131n\u0131n, t\u00fcm ger\u00e7ekle\u015fme olas\u0131l\u0131klar\u0131n\u0131n toplam\u0131na e\u015fde\u011fer oldu\u011funu belirtir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-fe646d340e4b18901999affd42bbaa21_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\cap B= \\varnothing \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ P(A\\cup B)=P(A)+P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"422\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u0130ki veya daha fazla olay ayn\u0131 anda ger\u00e7ekle\u015femedi\u011finde \u00f6zeldir. Bu nedenle <a href=\"https:\/\/statorials.org\/tr\/bilesik-olasilik\/\">ortak olas\u0131l\u0131\u011f\u0131 hesaplamak<\/a> i\u00e7in bunlar\u0131n ayn\u0131 anda meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 hesaba katmak gerekli de\u011fildir. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/birbirini-dislayan-olaylar\/\">Etkinliklerin hari\u00e7 tutulmas\u0131<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-los-axiomas-de-la-probabilidad\"><\/span> Olas\u0131l\u0131k aksiyomlar\u0131na \u00f6rnek<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00d6rnek olarak a\u015fa\u011f\u0131da, olas\u0131l\u0131k aksiyomlar\u0131n\u0131n yerine getirildi\u011fini g\u00f6rebilmeniz i\u00e7in bir zar\u0131n at\u0131lmas\u0131 deneyinin birka\u00e7 sonucunu analiz edece\u011fiz.<\/p>\n<p> Bir zar\u0131 att\u0131\u011f\u0131n\u0131zda alt\u0131 olas\u0131 sonu\u00e7 vard\u0131r; bunlar a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b3ad0ac057b6cd7e3d3db78b556249a1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Omega=\\{1,2,3,4,5,6\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"146\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Bu durumda, t\u00fcm sonu\u00e7lar\u0131n olas\u0131l\u0131\u011f\u0131 e\u015fit oldu\u011fundan, her bir sonucun ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in yaln\u0131zca bir sonucun olas\u0131l\u0131\u011f\u0131n\u0131 bulmam\u0131z gerekir. Bu nedenle, her olas\u0131 sonucun olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/laplace-kurali-veya-laplace-yasasi\/\">Laplace kural\u0131 form\u00fcl\u00fcn\u00fc<\/a> uyguluyoruz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a75e388a16beb3a8dd35df9570847f17_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{cualquier n\\'umero})=\\cfrac{1}{6}=0,167\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"264\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Daha sonra her bir sonucun elde edilme olas\u0131l\u0131\u011f\u0131 pozitif oldu\u011fundan, olas\u0131l\u0131\u011f\u0131n ilk aksiyomu kar\u015f\u0131lan\u0131r.<\/p>\n<p> \u015eimdi ikinci aksiyomu kontrol edelim. Bu durumda, belirli bir olay &#8220;1&#8217;den 6&#8217;ya kadar bir say\u0131 al\u0131r&#8221;, dolay\u0131s\u0131yla her sonucun elde edilme olas\u0131l\u0131\u011f\u0131n\u0131 ekliyoruz:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-2bb54785e609206dafbfb92982c6106c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}P(\\text{n\\'umero del 1 al 6})=\\\\[2ex]=P(1)+P(2)+P(3)+P(4)+P(5)+P(6)=\\\\[2ex]=0,167+0,167+0,167+0,167+0,167+0,167=\\\\[2ex]=1\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"126\" width=\"405\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> B\u00f6ylece belirli bir olay\u0131n olas\u0131l\u0131\u011f\u0131 1&#8217;e e\u015fit oldu\u011fundan ikinci olas\u0131l\u0131k aksiyomu da yerine getirilmi\u015f olur.<\/p>\n<p> Son olarak geriye kalan tek \u015fey \u00fc\u00e7\u00fcnc\u00fc olas\u0131l\u0131k aksiyomunu do\u011frulamakt\u0131r. Bir zar\u0131 atarak elde edebilece\u011fimiz farkl\u0131 sonu\u00e7lar birbirini d\u0131\u015flar, \u00e7\u00fcnk\u00fc \u00f6rne\u011fin 2 atarsak art\u0131k 5 elde edemeyiz. Bu nedenle herhangi iki say\u0131y\u0131 elde etmek i\u00e7in yap\u0131lan hesaplama iki \u015fekilde yap\u0131labilir: Laplace kural\u0131 veya her sonucun olas\u0131l\u0131\u011f\u0131n\u0131n eklenmesiyle.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b82d7478ffb94b9ceb1e6502a44e4010_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2 \\text{ o } 5)=\\cfrac{2}{6}=0,33\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"159\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-918b5d45fb13ed1dcfd49e5141e4bda2_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(2 \\text{ o } 5)=P(2)+P(5)=0,167+0,167=0,33\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"375\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Her iki durumda da ayn\u0131 olas\u0131l\u0131k de\u011ferini elde ederiz, dolay\u0131s\u0131yla \u00fc\u00e7\u00fcnc\u00fc olas\u0131l\u0131k aksiyomu da do\u011frudur. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-que-se-deducen-de-los-axiomas-de-la-probabilidad\"><\/span> Olas\u0131l\u0131k aksiyomlar\u0131ndan \u00e7\u0131kar\u0131lan \u00f6zellikler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u00dc\u00e7 olas\u0131l\u0131k aksiyomundan a\u015fa\u011f\u0131daki \u00f6zellikleri \u00e7\u0131karabiliriz:<\/p>\n<ol style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"><span style=\"color:#101010;font-weight: normal;\"><a href=\"https:\/\/statorials.org\/tr\/imkansiz-olay\/\">\u0130mkans\u0131z bir olay\u0131n<\/a> olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rd\u0131r.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-8a100ef3cff594784306812f09ec1edf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\varnothing)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Herhangi bir olay\u0131n olas\u0131l\u0131\u011f\u0131 1&#8217;e e\u015fit veya 1&#8217;den k\u00fc\u00e7\u00fckt\u00fcr.<\/span> <\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d06a7fdeca62cf846f7ffbecd9013cea_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)\\leq 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"73\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-60e0ca200964690b247a4dd29a7533ac_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"0\\leq P(A)\\leq 1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"105\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir olay\u0131n olas\u0131l\u0131\u011f\u0131, bir eksi onu <a href=\"https:\/\/statorials.org\/tr\/zit-olay-tamamlayici-olay\/\">tamamlayan olay\u0131n<\/a> olas\u0131l\u0131\u011f\u0131na e\u015fittir.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-46d5ac01b23be17e3b0585db0ba9ba82_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)=1-P\\left(\\overline{A}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"139\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir olay\u0131n ba\u015fka bir olaya dahil olmas\u0131 durumunda, ilk olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n ikinci olay\u0131n olas\u0131l\u0131\u011f\u0131ndan k\u00fc\u00e7\u00fck veya ona e\u015fit olmas\u0131 gerekir.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-305a2b392adf58d4a453451588cc8df7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A\\subset B \\ \\color{orange}\\bm{\\longrightarrow}\\color{black}\\ P(A)\\leq P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"292\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0130ki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131, olas\u0131l\u0131klar\u0131n\u0131n toplam\u0131ndan kesi\u015fme olas\u0131l\u0131klar\u0131n\u0131n \u00e7\u0131kar\u0131lmas\u0131yla elde edilir.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-be7c6347c0f331eeb6540ac9e15081dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)-P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0130kiye iki <a href=\"https:\/\/statorials.org\/tr\/uyumsuz-olaylar\/\">uyumsuz olaylar<\/a> dizisi verildi\u011finde, bunlar\u0131n ortak olas\u0131l\u0131klar\u0131, her bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 eklenerek hesaplan\u0131r.<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-764b23b74452aaa9dae225ca858b6621_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_1\\cup A_2 \\cup \\ldots\\cup A_n)=P(A_1)+P(A_2)+\\ldots+P(A_n)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"428\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u00d6rnek uzay sonluysa ve bir olay S={x <sub>1<\/sub> ,x <sub>1<\/sub> ,\u2026,x <sub>k<\/sub> } ise, s\u00f6z konusu olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 a\u015fa\u011f\u0131daki ifadeye e\u015fde\u011ferdir:<\/span><\/li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-503e424501a3d4474ad4033ba86725e3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(S)=P(x_1)+P(x_2)+\\ldots+P(x_n)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"286\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale olas\u0131l\u0131k aksiyomlar\u0131n\u0131n ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece olas\u0131l\u0131\u011f\u0131n aksiyomatik tan\u0131m\u0131n\u0131, farkl\u0131 olas\u0131l\u0131k aksiyomlar\u0131n\u0131n neler oldu\u011funu ve bunlar\u0131n uygulanmas\u0131na ili\u015fkin bir \u00f6rne\u011fi bulacaks\u0131n\u0131z. Olas\u0131l\u0131\u011f\u0131n 3 aksiyomu nedir? Olas\u0131l\u0131k aksiyomlar\u0131 \u015funlard\u0131r: Olas\u0131l\u0131k Aksiyomu 1 : Bir olay\u0131n olas\u0131l\u0131\u011f\u0131 negatif olamaz. Olas\u0131l\u0131k Aksiyomu 2 : Belirli bir olay\u0131n olas\u0131l\u0131\u011f\u0131 1&#8217;dir. Olas\u0131l\u0131k Aksiyomu 3 : Bir dizi \u00f6zel [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":["post-377","post","type-post","status-publish","format-standard","hentry","category-kategorize-edilmemis"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7Olas\u0131l\u0131k aksiyomlar\u0131<\/title>\n<meta name=\"description\" content=\"Burada \u00fc\u00e7 olas\u0131l\u0131k aksiyomunun ne oldu\u011funu, bunlar\u0131n uygulama \u00f6rneklerini ve aksiyomlardan \u00e7\u0131kar\u0131lan \u00f6zellikleri bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/olasilik-aksiyomlari\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7Olas\u0131l\u0131k aksiyomlar\u0131\" \/>\n<meta property=\"og:description\" content=\"Burada \u00fc\u00e7 olas\u0131l\u0131k aksiyomunun ne oldu\u011funu, bunlar\u0131n uygulama \u00f6rneklerini ve aksiyomlardan \u00e7\u0131kar\u0131lan \u00f6zellikleri bulacaks\u0131n\u0131z.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/olasilik-aksiyomlari\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-01T13:12:05+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-60e0ca200964690b247a4dd29a7533ac_l3.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/olasilik-aksiyomlari\/\",\"url\":\"https:\/\/statorials.org\/tr\/olasilik-aksiyomlari\/\",\"name\":\"\u25b7Olas\u0131l\u0131k aksiyomlar\u0131\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-01T13:12:05+00:00\",\"dateModified\":\"2023-08-01T13:12:05+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada \u00fc\u00e7 olas\u0131l\u0131k aksiyomunun ne oldu\u011funu, bunlar\u0131n uygulama \u00f6rneklerini ve aksiyomlardan \u00e7\u0131kar\u0131lan \u00f6zellikleri bulacaks\u0131n\u0131z.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/olasilik-aksiyomlari\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/olasilik-aksiyomlari\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/olasilik-aksiyomlari\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Olas\u0131l\u0131k aksiyomlar\u0131\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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