{"id":387,"date":"2023-08-01T08:26:36","date_gmt":"2023-08-01T08:26:36","guid":{"rendered":"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/"},"modified":"2023-08-01T08:26:36","modified_gmt":"2023-08-01T08:26:36","slug":"olasilik-ozellikleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/","title":{"rendered":"Olas\u0131l\u0131k \u00f6zellikleri"},"content":{"rendered":"<p>Bu makalede olas\u0131l\u0131k \u00f6zelliklerinin ne oldu\u011funu a\u00e7\u0131klayaca\u011f\u0131z ve ayr\u0131ca her olas\u0131l\u0131k \u00f6zelli\u011finin somut bir \u00f6rne\u011fini g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-propiedades-de-la-probabilidad\"><\/span> Olas\u0131l\u0131\u011f\u0131n \u00f6zellikleri nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Olas\u0131l\u0131\u011f\u0131n \u00f6zellikleri<\/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;\">Bir olay\u0131n olas\u0131l\u0131\u011f\u0131, bir eksi kar\u015f\u0131t olay\u0131n olas\u0131l\u0131\u011f\u0131na e\u015fittir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0130mkans\u0131z bir olay\u0131n olas\u0131l\u0131\u011f\u0131 her zaman s\u0131f\u0131rd\u0131r.<\/span><\/li>\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<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0130ki olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131, her bir olay\u0131n ayr\u0131 ayr\u0131 meydana gelme olas\u0131l\u0131\u011f\u0131 ile bunlar\u0131n kesi\u015fme olas\u0131l\u0131\u011f\u0131n\u0131n toplam\u0131na e\u015fittir.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">\u0130kiye iki uyumsuz olaylar 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<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir \u00f6rnek uzaydaki t\u00fcm temel olaylar\u0131n olas\u0131l\u0131klar\u0131n\u0131n toplam\u0131 1&#8217;e e\u015fittir.<\/span><\/li>\n<\/ol>\n<p> Bu sadece olas\u0131l\u0131\u011f\u0131n temel \u00f6zelliklerinin ne oldu\u011funun bir \u00f6zetidir. A\u015fa\u011f\u0131da her m\u00fclk\u00fcn daha ayr\u0131nt\u0131l\u0131 bir a\u00e7\u0131klamas\u0131 ve ger\u00e7ek d\u00fcnyadan \u00f6rnekleri bulunmaktad\u0131r.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-1\"><\/span> \u00d6zellik 1<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Bir olay\u0131n olas\u0131l\u0131\u011f\u0131, bir eksi kar\u015f\u0131t olay\u0131n olas\u0131l\u0131\u011f\u0131na e\u015fittir. Dolay\u0131s\u0131yla bir olay\u0131n olas\u0131l\u0131\u011f\u0131 ile kar\u015f\u0131t olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n toplam\u0131 1&#8217;e e\u015fittir.<\/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-e0d62ccd1f8f95072d222f71dc749d90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\\bigl(A\\bigr)=1-P\\bigl(\\overline{A}\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"139\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> \u00d6rne\u011fin, 5 say\u0131s\u0131n\u0131n gelme olas\u0131l\u0131\u011f\u0131 0,167&#8217;dir, \u00e7\u00fcnk\u00fc bu olas\u0131l\u0131ksal \u00f6zelli\u011fi kullanarak ba\u015fka bir say\u0131n\u0131n gelme olas\u0131l\u0131\u011f\u0131n\u0131 belirleyebiliriz: <\/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-e788117c866c89ae91541e23b4f3c548_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(5)=0,167\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" 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-e3524f2e9cc4c5e46291f12f8eb9cfe6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1, 2, 3, 4, 6)=1-P(5)=1-0,167=0,833\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"359\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-2\"><\/span> \u00d6zellik 2<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0130mkans\u0131z bir olay\u0131n olas\u0131l\u0131\u011f\u0131 0&#8217;d\u0131r. Mant\u0131ksal olarak, rastgele bir deneyin belirli bir sonucu ger\u00e7ekle\u015femiyorsa, ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rd\u0131r.<\/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-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<p> \u00d6rne\u011fin tek zar\u0131 atarak 7 say\u0131s\u0131n\u0131n sonucunu alamay\u0131z, dolay\u0131s\u0131yla bu olay\u0131n olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rd\u0131r. <\/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-db4b5546f2bb058630433f3d586d8ef3_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(7)=0\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"69\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-3\"><\/span> \u00d6zellik 3<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> 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.<\/p>\n<p> A\u00e7\u0131k\u00e7as\u0131, e\u011fer bir olay bir dizi olaya dahilse, tek bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 t\u00fcm grubunkinden daha b\u00fcy\u00fck olamaz.<\/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-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<p> \u00d6rne\u011fin 4 say\u0131s\u0131n\u0131n gelme olas\u0131l\u0131\u011f\u0131 0,167&#8217;dir. \u00d6te yandan \u00e7ift say\u0131 (2, 4, 6) gelme olas\u0131l\u0131\u011f\u0131 0,50&#8217;dir. Dolay\u0131s\u0131yla olas\u0131l\u0131k teorisinin bu \u00f6zelli\u011fi kar\u015f\u0131lanm\u0131\u015ft\u0131r. <\/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-8a96368d579d2888e3d7087b955c24ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(4)=0,167\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" 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-4019e6063531669edb2a9877256df349_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(\\text{n\\'umero par})&amp;=P(2)+P(4)+P(6)\\\\[2ex]&amp;=0,167+0,167+0,167\\\\[2ex]&amp;=0,5\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"102\" width=\"315\" style=\"vertical-align: 0px;\"><\/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-68ae38843029cd6d8a494f59334ba8b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(4)\n\n<h3 class=&quot;wp-block-heading&quot;><span class=&quot;ez-toc-section&quot; id=&quot;propiedad-4&quot;><\/span> Propri\u00e9t\u00e9 4<span class=&quot;ez-toc-section-end&quot;><\/span><\/h3>\n<p> La probabilit\u00e9 d&#8217;union de deux \u00e9v\u00e9nements est \u00e9gale \u00e0 la somme de la probabilit\u00e9 que chaque \u00e9v\u00e9nement se produise s\u00e9par\u00e9ment moins la probabilit\u00e9 de leur intersection. En th\u00e9orie des probabilit\u00e9s, cette propri\u00e9t\u00e9 est connue sous le nom de r\u00e8gle de somme et sa formule est la suivante :[latex]P(A\\cup B)=P(A)+P(B)-P(A\\cap B)&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;107&#8243; width=&#8221;2040&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p> Bu \u00f6zelli\u011fin somut uygulama \u00f6rneklerini buraya t\u0131klayarak g\u00f6rebilirsiniz: <\/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\">Toplama kural\u0131n\u0131n \u00e7\u00f6z\u00fclm\u00fc\u015f \u00f6rne\u011fi<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-5\"><\/span> \u00d6zellik 5<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u0130kiye iki uyumsuz olaylar dizisi verildi\u011finde, bunlar\u0131n ortak olas\u0131l\u0131klar\u0131, her bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 eklenerek hesaplanabilir.<\/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-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<p> \u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131n\u0131n farkl\u0131 sonu\u00e7lar\u0131 birbiriyle uyumsuz olaylard\u0131r, \u00e7\u00fcnk\u00fc bir say\u0131 atarsan\u0131z ba\u015fka bir say\u0131 elde edemezsiniz. Dolay\u0131s\u0131yla tek bir say\u0131 elde etme olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in farkl\u0131 tek say\u0131lar\u0131n ortaya \u00e7\u0131kma olas\u0131l\u0131\u011f\u0131n\u0131 toplayabiliriz: <\/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-bf888ec6763639d80ac0f2af422d1a5e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(\\text{n\\'umero impar})&amp;=P(1\\cup3\\cup5)\\\\[2ex]&amp;=P(1)+P(3)+P(5)\\\\[2ex]&amp;=0,167+0,167+0,167\\\\[2ex]&amp;=0,5\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"144\" width=\"334\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedad-6\"><\/span> \u00d6zellik 6<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Bir \u00f6rnek uzaydaki t\u00fcm <a href=\"https:\/\/statorials.org\/tr\/basit-olay-temel-olay\/\">temel olaylar\u0131n<\/a> olas\u0131l\u0131klar\u0131n\u0131n toplam\u0131 1&#8217;e e\u015fittir.<\/p>\n<p> A\u00e7\u0131k\u00e7as\u0131, rastgele bir deney \u00f6rnek uzayda bir temel olayla sonu\u00e7lanmal\u0131d\u0131r, dolay\u0131s\u0131yla \u00f6rnek uzayda bir temel olay her zaman meydana gelecektir ve bu nedenle \u00f6rnek uzayda meydana gelme toplam olas\u0131l\u0131\u011f\u0131 %100 olmal\u0131d\u0131r.<\/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-191a5226cbed021795400db02c08ed57_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\Omega=\\{A_1,A_2,\\ldots,A_n\\}\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"165\" 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-ee0f59a00301b4e664c0c7b9d36de757_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A_1)+P(A_2)+\\ldots+P(A_n)=1\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"265\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> \u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131 i\u00e7in \u00f6rnek uzay \u03a9={1, 2, 3, 4, 5, 6}&#8217;t\u0131r, yani t\u00fcm olas\u0131 sonu\u00e7lar\u0131n olas\u0131l\u0131klar\u0131n\u0131n toplam\u0131 1&#8217;e e\u015fittir: <\/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 class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b5105855f7df7f894f3631b34fa8df3f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{aligned}P(\\Omega)&amp;=P(1)+P(2)+P(3)+P(4)+P(5)+P(6)\\\\[2ex]&amp;=0,167+0,167+0,167+0,167+0,167+0,167\\\\[2ex]&amp;=1\\end{aligned}\" title=\"Rendered by QuickLaTeX.com\" height=\"98\" width=\"433\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"axiomas-de-la-probabilidad\"><\/span> Olas\u0131l\u0131k aksiyomlar\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Olas\u0131l\u0131\u011f\u0131n az \u00f6nce g\u00f6rd\u00fc\u011f\u00fcm\u00fcz \u00f6zelliklerine ek olarak, olaylar\u0131n olas\u0131l\u0131klar\u0131n\u0131 belirleyen temel kurallar olan olas\u0131l\u0131k aksiyomlar\u0131n\u0131n da bulundu\u011funu akl\u0131m\u0131zda tutmal\u0131y\u0131z.<\/p>\n<p> Dolay\u0131s\u0131yla olas\u0131l\u0131k aksiyomlar\u0131 a\u015fa\u011f\u0131daki gibidir:<\/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\u0131k aksiyomlar\u0131 ve bunlar\u0131n uygulama \u00f6rnekleri hakk\u0131nda daha fazla bilgiyi buradan edinebilirsiniz: <\/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\/olasilik-aksiyomlari\/\">Olas\u0131l\u0131k aksiyomlar\u0131<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede olas\u0131l\u0131k \u00f6zelliklerinin ne oldu\u011funu a\u00e7\u0131klayaca\u011f\u0131z ve ayr\u0131ca her olas\u0131l\u0131k \u00f6zelli\u011finin somut bir \u00f6rne\u011fini g\u00f6rebileceksiniz. Olas\u0131l\u0131\u011f\u0131n \u00f6zellikleri nelerdir? Olas\u0131l\u0131\u011f\u0131n \u00f6zellikleri \u015funlard\u0131r: Bir olay\u0131n olas\u0131l\u0131\u011f\u0131, bir eksi kar\u015f\u0131t olay\u0131n olas\u0131l\u0131\u011f\u0131na e\u015fittir. \u0130mkans\u0131z bir olay\u0131n olas\u0131l\u0131\u011f\u0131 her zaman s\u0131f\u0131rd\u0131r. 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 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[12],"tags":[],"class_list":["post-387","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Olas\u0131l\u0131k \u00d6zellikleri<\/title>\n<meta name=\"description\" content=\"Burada olas\u0131l\u0131k \u00f6zelliklerinin ne oldu\u011funu \u00f6\u011freneceksiniz ve ayr\u0131ca her olas\u0131l\u0131k \u00f6zelli\u011finin somut bir \u00f6rne\u011fini g\u00f6rebileceksiniz.\" \/>\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-ozellikleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Olas\u0131l\u0131k \u00d6zellikleri\" \/>\n<meta property=\"og:description\" content=\"Burada olas\u0131l\u0131k \u00f6zelliklerinin ne oldu\u011funu \u00f6\u011freneceksiniz ve ayr\u0131ca her olas\u0131l\u0131k \u00f6zelli\u011finin somut bir \u00f6rne\u011fini g\u00f6rebileceksiniz.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-01T08:26:36+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e0d62ccd1f8f95072d222f71dc749d90_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-ozellikleri\/\",\"url\":\"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/\",\"name\":\"\u25b7 Olas\u0131l\u0131k \u00d6zellikleri\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-01T08:26:36+00:00\",\"dateModified\":\"2023-08-01T08:26:36+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Burada olas\u0131l\u0131k \u00f6zelliklerinin ne oldu\u011funu \u00f6\u011freneceksiniz ve ayr\u0131ca her olas\u0131l\u0131k \u00f6zelli\u011finin somut bir \u00f6rne\u011fini g\u00f6rebileceksiniz.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Olas\u0131l\u0131k \u00f6zellikleri\"}]},{\"@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. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Olas\u0131l\u0131k \u00d6zellikleri","description":"Burada olas\u0131l\u0131k \u00f6zelliklerinin ne oldu\u011funu \u00f6\u011freneceksiniz ve ayr\u0131ca her olas\u0131l\u0131k \u00f6zelli\u011finin somut bir \u00f6rne\u011fini g\u00f6rebileceksiniz.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/","og_locale":"tr_TR","og_type":"article","og_title":"\u25b7 Olas\u0131l\u0131k \u00d6zellikleri","og_description":"Burada olas\u0131l\u0131k \u00f6zelliklerinin ne oldu\u011funu \u00f6\u011freneceksiniz ve ayr\u0131ca her olas\u0131l\u0131k \u00f6zelli\u011finin somut bir \u00f6rne\u011fini g\u00f6rebileceksiniz.","og_url":"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/","og_site_name":"Statorials","article_published_time":"2023-08-01T08:26:36+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e0d62ccd1f8f95072d222f71dc749d90_l3.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"4 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/","url":"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/","name":"\u25b7 Olas\u0131l\u0131k \u00d6zellikleri","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-01T08:26:36+00:00","dateModified":"2023-08-01T08:26:36+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Burada olas\u0131l\u0131k \u00f6zelliklerinin ne oldu\u011funu \u00f6\u011freneceksiniz ve ayr\u0131ca her olas\u0131l\u0131k \u00f6zelli\u011finin somut bir \u00f6rne\u011fini g\u00f6rebileceksiniz.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/olasilik-ozellikleri\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Olas\u0131l\u0131k \u00f6zellikleri"}]},{"@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. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/387","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=387"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/387\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=387"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=387"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=387"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}