{"id":371,"date":"2023-08-01T15:51:20","date_gmt":"2023-08-01T15:51:20","guid":{"rendered":"https:\/\/statorials.org\/tr\/birbirini-dislayan-olmayan-olaylar\/"},"modified":"2023-08-01T15:51:20","modified_gmt":"2023-08-01T15:51:20","slug":"birbirini-dislayan-olmayan-olaylar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/birbirini-dislayan-olmayan-olaylar\/","title":{"rendered":"Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar"},"content":{"rendered":"<p>Bu makalede, birbirini d\u0131\u015flayan olaylar\u0131n ne oldu\u011funu, kar\u015f\u0131l\u0131kl\u0131 olarak d\u0131\u015flay\u0131c\u0131 olmayan olay \u00f6rneklerini ve kar\u015f\u0131l\u0131kl\u0131 olarak d\u0131\u015flay\u0131c\u0131 olmayan iki olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. Ek olarak, kar\u015f\u0131l\u0131kl\u0131 olarak \u00f6zel olmayan olaylar\u0131n birbirini d\u0131\u015flayan olaylardan ne kadar farkl\u0131 oldu\u011funu g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-eventos-mutuamente-no-excluyentes\"><\/span> Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar<\/strong> veya sadece <strong>m\u00fcnhas\u0131r olmayan olaylar<\/strong> , ayn\u0131 anda meydana gelebilecek olaylard\u0131r. Ancak bu, m\u00fcnhas\u0131r olmayan iki olay\u0131n mutlaka ayn\u0131 anda ger\u00e7ekle\u015fmesi gerekti\u011fi anlam\u0131na gelmez.<\/p>\n<p> \u00d6rne\u011fin, bir paran\u0131n ilk at\u0131\u015f\u0131nda tura ve ikinci at\u0131\u015fta yaz\u0131 gelmesi birbirini d\u0131\u015flayan iki olayd\u0131r, \u00e7\u00fcnk\u00fc ilk at\u0131\u015f\u0131n sonucu ikinci at\u0131\u015f\u0131n sonucunu etkilemez. Bu nedenle, \u00f6nce &#8220;kuyruklar&#8221;, sonra &#8220;kuyruklar&#8221; g\u00f6r\u00fcnebilir.<\/p>\n<p> Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar ayn\u0131 zamanda <strong>kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar<\/strong> olarak da adland\u0131r\u0131l\u0131r.<\/p>\n<p> Yani, kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar dizisi verildi\u011finde, bu k\u00fcmedeki olaylar\u0131n hi\u00e7birinin meydana gelmemesi m\u00fcmk\u00fcnd\u00fcr, ancak bu k\u00fcmedeki olaylar\u0131n birlikte meydana gelme olas\u0131l\u0131\u011f\u0131 vard\u0131r. <\/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-turleri\/\">Olas\u0131l\u0131k t\u00fcrleri<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-eventos-mutuamente-no-excluyentes\"><\/span> Kar\u015f\u0131l\u0131kl\u0131 Olarak M\u00fcnhas\u0131r Olmayan Etkinliklere \u00d6rnekler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar\u0131n tan\u0131m\u0131n\u0131 bildi\u011fimize g\u00f6re, kavram\u0131 \u00f6z\u00fcmsemeyi tamamlamak i\u00e7in bu t\u00fcr olaylar\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6rece\u011fiz.<\/p>\n<p> \u00d6rne\u011fin, &#8220;4&#8217;e yuvarlanma&#8221; olay\u0131 ve &#8220;kafalar\u0131n yuvarlanmas\u0131&#8221; olay\u0131 birbirini d\u0131\u015flayan olaylar de\u011fildir \u00e7\u00fcnk\u00fc her ikisi de sorunsuz ger\u00e7ekle\u015febilir.<\/p>\n<p> Benzer \u015fekilde, bir zar at\u0131ld\u0131\u011f\u0131nda &#8220;tek say\u0131n\u0131n at\u0131lmas\u0131&#8221; ve &#8220;3&#8217;ten b\u00fcy\u00fck bir say\u0131n\u0131n at\u0131lmas\u0131&#8221; olaylar\u0131 da birbirini d\u0131\u015flayan olaylar de\u011fildir, \u00e7\u00fcnk\u00fc her iki olay da meydana gelebilir. Ancak bu durumda her iki olay\u0131n ger\u00e7ekle\u015fmesi i\u00e7in ayn\u0131 anda ger\u00e7ekle\u015fmesi gerekir ve her iki ko\u015fulu da sa\u011flayan tek sonu\u00e7 5 say\u0131s\u0131d\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-de-eventos-mutuamente-no-excluyentes\"><\/span> Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar\u0131n olas\u0131l\u0131\u011f\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Birbirini d\u0131\u015flayan iki olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in toplama kural\u0131 kullan\u0131lmal\u0131d\u0131r; bu kural, A olay\u0131n\u0131n veya B olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in, A olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 ne kadar y\u00fcksekse o olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131n eklenmesi gerekti\u011fini s\u00f6yler. meydana gelmek. B olay\u0131n\u0131n ger\u00e7ekle\u015fmesi ve her iki olay\u0131n ayn\u0131 anda meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131n \u00e7\u0131kar\u0131lmas\u0131.<\/p>\n<p> Dolay\u0131s\u0131yla, <strong>kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 hesaplama form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir:<\/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-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<p style=\"margin-bottom:7px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e79827dee6ad7d53b96b5497d617f7c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p> A olay\u0131n\u0131n veya B olay\u0131n\u0131n olas\u0131l\u0131\u011f\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f0e9e218bb5d81f21881e6c57e37c7a6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"40\" style=\"vertical-align: -5px;\"><\/p>\n<p> A olay\u0131n\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3cf84b3bfcc955798a43fce91458ff42_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"41\" style=\"vertical-align: -5px;\"><\/p>\n<p> B olay\u0131n\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:8px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-5e28c16735c6423d27941ce417b5fb4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"74\" style=\"vertical-align: -5px;\"><\/p>\n<p> A olay\u0131 ve B olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 ortak olas\u0131l\u0131kt\u0131r.<\/li>\n<\/ul>\n<p> A\u015fa\u011f\u0131daki ba\u011flant\u0131da, kar\u015f\u0131l\u0131kl\u0131 olarak \u00f6zel olmayan iki olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rne\u011fi 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\">Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar i\u00e7in toplama kural\u0131 \u00f6rne\u011fi<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"eventos-mutuamente-no-excluyentes-y-mutuamente-excluyentes\"><\/span>Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan ve birbirini d\u0131\u015flayan olaylar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Adlar\u0131ndan da anla\u015f\u0131laca\u011f\u0131 gibi, birbirini d\u0131\u015flayan olaylar, birbirini d\u0131\u015flayan olmayan olaylar\u0131n tersidir. Fark\u0131 a\u015fa\u011f\u0131da detayland\u0131raca\u011f\u0131z.<\/p>\n<p> Birbirini d\u0131\u015flayan iki olay ayn\u0131 anda ger\u00e7ekle\u015femez. Ba\u015fka bir deyi\u015fle, iki olaydan birinin ger\u00e7ekle\u015fmesi di\u011ferinin art\u0131k ger\u00e7ekle\u015femeyece\u011fini ima ediyorsa, bu olay birbirini d\u0131\u015flar.<\/p>\n<p> Sonu\u00e7ta, <strong>birbirini d\u0131\u015flayan olaylar ile birbirini d\u0131\u015flayan olmayan olaylar aras\u0131ndaki fark,<\/strong> birbirini d\u0131\u015flayan olaylar\u0131n ayn\u0131 anda meydana gelememesi, ancak birbirini d\u0131\u015flayan olmayan olaylar\u0131n ayn\u0131 anda meydana gelebilmesidir. <\/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\/\">Kar\u015f\u0131l\u0131kl\u0131 \u00d6zel Etkinlikler<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"eventos-mutuamente-no-excluyentes-y-eventos-complementarios\"><\/span> Kar\u015f\u0131l\u0131kl\u0131 Olarak \u00d6zel Olmayan Etkinlikler ve Tamamlay\u0131c\u0131 Etkinlikler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Tamamlay\u0131c\u0131 bir olay, rastgele bir deneyde belirli bir olay\u0131n z\u0131t sonucudur. Bu nedenle, biri di\u011ferinin z\u0131t sonucu olan iki olay tamamlay\u0131c\u0131d\u0131r.<\/p>\n<p> Yani iki olay birbirini d\u0131\u015flam\u0131yorsa, bu onlar\u0131n tamamlay\u0131c\u0131 olaylar olmad\u0131\u011f\u0131 anlam\u0131na gelir. Tam tersine, e\u011fer iki olay birbirini tamaml\u0131yorsa, iki olay\u0131n birbirini d\u0131\u015flay\u0131c\u0131 olmamas\u0131 m\u00fcmk\u00fcn de\u011fildir.<\/p>\n<p> Ancak iki olay\u0131n tamamlay\u0131c\u0131 olmas\u0131 bu olaylar\u0131n birbirini d\u0131\u015flad\u0131\u011f\u0131 anlam\u0131na gelir. \u00c7\u00fcnk\u00fc bir olay di\u011ferine ayk\u0131r\u0131 ise bu onlar\u0131n ayn\u0131 anda ger\u00e7ekle\u015femeyece\u011fi anlam\u0131na gelir. <\/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\/zit-olay-tamamlayici-olay\/\">Ek etkinlikler<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"eventos-mutuamente-no-excluyentes-y-eventos-dependientes\"><\/span> Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar ve ba\u011f\u0131ml\u0131 olaylar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar ve ba\u011f\u0131ml\u0131 olaylar birbirine kar\u0131\u015ft\u0131r\u0131labilir \u00e7\u00fcnk\u00fc bu b\u00f6l\u00fcmde g\u00f6rece\u011fimiz gibi, iki olay ayn\u0131 anda m\u00fcnhas\u0131r olmayan ve ba\u011f\u0131ml\u0131 olabilir ve benzer \u015fekilde iki olay ayn\u0131 anda m\u00fcnhas\u0131r ancak ba\u011f\u0131ml\u0131 olabilir.<\/p>\n<p> Ba\u011f\u0131ml\u0131 olaylar, ger\u00e7ekle\u015fme olas\u0131l\u0131klar\u0131 birbirine ba\u011fl\u0131 olan olaylard\u0131r. Yani, bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 di\u011fer olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131n\u0131 etkiliyorsa iki olay ba\u011f\u0131ml\u0131d\u0131r.<\/p>\n<p> Dolay\u0131s\u0131yla, iki olay m\u00fcnhas\u0131r olmayabilir, yani ayn\u0131 anda meydana gelebilir, ancak ayn\u0131 olaylar ayn\u0131 zamanda ba\u011f\u0131ml\u0131 da olabilir \u00e7\u00fcnk\u00fc birinin olas\u0131l\u0131\u011f\u0131 di\u011ferine ba\u011fl\u0131d\u0131r.<\/p>\n<p> \u00d6rne\u011fin, &#8220;ya\u011fmur&#8221; ve &#8220;yo\u011fun trafik&#8221; olaylar\u0131 birbirini d\u0131\u015flayan olaylar de\u011fildir, \u00e7\u00fcnk\u00fc iki olaydan yaln\u0131zca biri veya her ikisi ayn\u0131 anda ger\u00e7ekle\u015febilir. Ancak bu iki olay da birbirine ba\u011fl\u0131d\u0131r \u00e7\u00fcnk\u00fc o g\u00fcn ya\u011fmur ya\u011fmas\u0131 halinde trafi\u011fin yo\u011fun olmas\u0131 ihtimali artar. <\/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\/olaylara-bagli-olaylar\/\">Ba\u011f\u0131ml\u0131 olaylar<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede, birbirini d\u0131\u015flayan olaylar\u0131n ne oldu\u011funu, kar\u015f\u0131l\u0131kl\u0131 olarak d\u0131\u015flay\u0131c\u0131 olmayan olay \u00f6rneklerini ve kar\u015f\u0131l\u0131kl\u0131 olarak d\u0131\u015flay\u0131c\u0131 olmayan iki olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. Ek olarak, kar\u015f\u0131l\u0131kl\u0131 olarak \u00f6zel olmayan olaylar\u0131n birbirini d\u0131\u015flayan olaylardan ne kadar farkl\u0131 oldu\u011funu g\u00f6rebileceksiniz. Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar nelerdir? Kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar veya sadece m\u00fcnhas\u0131r olmayan olaylar [&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-371","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 Kar\u015f\u0131l\u0131kl\u0131 olarak \u00f6zel olmayan etkinlikler<\/title>\n<meta name=\"description\" content=\"Burada kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan olaylar\u0131n ne oldu\u011funu, \u00f6rnekleri ve kar\u015f\u0131l\u0131kl\u0131 olarak m\u00fcnhas\u0131r olmayan iki olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 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