{"id":1329,"date":"2023-07-26T20:47:11","date_gmt":"2023-07-26T20:47:11","guid":{"rendered":"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/"},"modified":"2023-07-26T20:47:11","modified_gmt":"2023-07-26T20:47:11","slug":"karsilikli-olarak-kapsayici-ve-birbirini-dislayan","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/","title":{"rendered":"Kar\u015f\u0131l\u0131kl\u0131 olarak kapsay\u0131c\u0131 veya birbirini d\u0131\u015flayan etkinlikler"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki olay ayn\u0131 anda ger\u00e7ekle\u015femiyorsa <strong>birbirini<\/strong> d\u0131\u015flayan olaylard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, A olay\u0131n\u0131n zar\u0131n \u00e7ift say\u0131ya gelmesi olay\u0131 oldu\u011funu ve B olay\u0131n\u0131n da zar\u0131n tek say\u0131ya d\u00fc\u015fmesi olay\u0131 oldu\u011funu varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Olaylar i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/ornek-uzay-1\/\" target=\"_blank\" rel=\"noopener\">\u00f6rnek uzay\u0131<\/a> \u015fu \u015fekilde tan\u0131mlayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">bir = {2, 4, 6}<\/span><\/li>\n<li> <span style=\"color: #000000;\">B = {1, 3, 5}<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rneklenen iki alan aras\u0131nda \u00e7ak\u0131\u015fma olmad\u0131\u011f\u0131n\u0131 unutmay\u0131n. Yani A ve B olaylar\u0131 birbirini d\u0131\u015flar \u00e7\u00fcnk\u00fc her ikisi de ayn\u0131 anda ger\u00e7ekle\u015femez. Zar\u0131n d\u00fc\u015ft\u00fc\u011f\u00fc say\u0131 hem \u00e7ift <em>hem de<\/em> tek olamaz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tersine, iki olay ayn\u0131 anda <em>ger\u00e7ekle\u015febiliyorsa<\/em> <strong>birbirini<\/strong> kapsar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, C olay\u0131 zar\u0131n \u00e7ift say\u0131ya gelmesi olay\u0131 olsun ve D olay\u0131 da zar\u0131n 3&#8217;ten b\u00fcy\u00fck say\u0131ya gelmesi olay\u0131 olsun.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Olaylar i\u00e7in \u00f6rnek uzay\u0131 \u015fu \u015fekilde tan\u0131mlayabiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">C = {2, 4, 6}<\/span><\/li>\n<li> <span style=\"color: #000000;\">d = {4, 5, 6}<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rneklenen iki alan aras\u0131nda bir \u00f6rt\u00fc\u015fme oldu\u011funu unutmay\u0131n. Dolay\u0131s\u0131yla C ve D olaylar\u0131 ayn\u0131 anda meydana gelebildikleri i\u00e7in birbirini kapsar. Zarlar\u0131n 3&#8217;ten b\u00fcy\u00fck bir <em>\u00e7ift<\/em> say\u0131ya gelmesi m\u00fcmk\u00fcnd\u00fcr.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Olay olas\u0131l\u0131klar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">E\u011fer iki olay <strong>birbirini<\/strong> d\u0131\u015fl\u0131yorsa, her ikisinin de meydana gelme olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, yukar\u0131daki A ve B olaylar\u0131 i\u00e7in iki \u00f6rnek uzay\u0131 d\u00fc\u015f\u00fcn\u00fcn:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">bir = {2, 4, 6}<\/span><\/li>\n<li> <span style=\"color: #000000;\">B = {1, 3, 5}<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rnek uzaylarda \u00e7ak\u0131\u015fma olmad\u0131\u011f\u0131ndan P(A ve B) = <strong>0<\/strong> diyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak iki olay <strong>birbirini kaps\u0131yorsa<\/strong> , her ikisinin de meydana gelme olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rdan b\u00fcy\u00fck bir say\u0131 olacakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, daha \u00f6nce C ve D olaylar\u0131 i\u00e7in verilen iki \u00f6rnek uzay\u0131 d\u00fc\u015f\u00fcn\u00fcn:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">C = {2, 4, 6}<\/span><\/li>\n<li> <span style=\"color: #000000;\">d = {4, 5, 6}<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Zar\u0131n \u00fczerine d\u00fc\u015febilece\u011fi 6 olas\u0131 say\u0131 oldu\u011fundan ve bu say\u0131lardan ikisi (4 ve 6) hem C hem de D olaylar\u0131na ait oldu\u011fundan, P(C ve D)&#8217;yi 2\/6 veya <strong>1\/3<\/strong> olarak hesaplayaca\u011f\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Birbirini kapsayan ve birbirini d\u0131\u015flayan etkinlikleri g\u00f6r\u00fcnt\u00fcleyin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Olaylarla ilgili olas\u0131l\u0131klar\u0131 g\u00f6rselle\u015ftirmek i\u00e7in s\u0131kl\u0131kla Venn diyagramlar\u0131n\u0131 kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u011fer iki olay <strong>birbirini<\/strong> d\u0131\u015fl\u0131yorsa Venn \u015femas\u0131nda hi\u00e7bir \u015fekilde \u00f6rt\u00fc\u015fmezler:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12974 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mutuellementinc1.png\" alt=\"Birbirini d\u0131\u015flayan etkinlikler\" width=\"440\" height=\"314\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tersine, e\u011fer iki olay <strong>kar\u015f\u0131l\u0131kl\u0131 olarak kapsan\u0131yorsa<\/strong> , Venn \u015femas\u0131nda en az\u0131ndan bir miktar \u00f6rt\u00fc\u015fme olacakt\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12975 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mutuellementinc2.png\" alt=\"Kar\u015f\u0131l\u0131kl\u0131 kapsay\u0131c\u0131 etkinlikler\" width=\"441\" height=\"326\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/teorik-olasilik-1\/\" target=\"_blank\" rel=\"noopener\">Teorik olas\u0131l\u0131\u011fa giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/carpma-isleminin-genel-kurali\/\" target=\"_blank\" rel=\"noopener\">\u00c7arpman\u0131n genel kural\u0131<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ayrik-olaylar\/\" target=\"_blank\" rel=\"noopener\">Ayr\u0131k olaylar nelerdir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki olay ayn\u0131 anda ger\u00e7ekle\u015femiyorsa birbirini d\u0131\u015flayan olaylard\u0131r. \u00d6rne\u011fin, A olay\u0131n\u0131n zar\u0131n \u00e7ift say\u0131ya gelmesi olay\u0131 oldu\u011funu ve B olay\u0131n\u0131n da zar\u0131n tek say\u0131ya d\u00fc\u015fmesi olay\u0131 oldu\u011funu varsayal\u0131m. Olaylar i\u00e7in \u00f6rnek uzay\u0131 \u015fu \u015fekilde tan\u0131mlayabiliriz: bir = {2, 4, 6} B = {1, 3, 5} \u00d6rneklenen iki alan aras\u0131nda \u00e7ak\u0131\u015fma olmad\u0131\u011f\u0131n\u0131 unutmay\u0131n. Yani A ve [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1329","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Kar\u015f\u0131l\u0131kl\u0131 olarak kapsay\u0131c\u0131 veya birbirini d\u0131\u015flayan etkinlikler<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, birbirini kapsayan ve birbirini d\u0131\u015flayan olaylar aras\u0131ndaki fark, her birinden birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Kar\u015f\u0131l\u0131kl\u0131 olarak kapsay\u0131c\u0131 veya birbirini d\u0131\u015flayan etkinlikler\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde, birbirini kapsayan ve birbirini d\u0131\u015flayan olaylar aras\u0131ndaki fark, her birinden birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T20:47:11+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mutuellementinc1.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=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/\",\"url\":\"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/\",\"name\":\"Kar\u015f\u0131l\u0131kl\u0131 olarak kapsay\u0131c\u0131 veya birbirini d\u0131\u015flayan etkinlikler\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-26T20:47:11+00:00\",\"dateModified\":\"2023-07-26T20:47:11+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde, birbirini kapsayan ve birbirini d\u0131\u015flayan olaylar aras\u0131ndaki fark, her birinden birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Kar\u015f\u0131l\u0131kl\u0131 olarak kapsay\u0131c\u0131 veya birbirini d\u0131\u015flayan etkinlikler\"}]},{\"@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":"Kar\u015f\u0131l\u0131kl\u0131 olarak kapsay\u0131c\u0131 veya birbirini d\u0131\u015flayan etkinlikler","description":"Bu e\u011fitimde, birbirini kapsayan ve birbirini d\u0131\u015flayan olaylar aras\u0131ndaki fark, her birinden birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.","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\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/","og_locale":"tr_TR","og_type":"article","og_title":"Kar\u015f\u0131l\u0131kl\u0131 olarak kapsay\u0131c\u0131 veya birbirini d\u0131\u015flayan etkinlikler","og_description":"Bu e\u011fitimde, birbirini kapsayan ve birbirini d\u0131\u015flayan olaylar aras\u0131ndaki fark, her birinden birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.","og_url":"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/","og_site_name":"Statorials","article_published_time":"2023-07-26T20:47:11+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mutuellementinc1.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"2 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/","url":"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/","name":"Kar\u015f\u0131l\u0131kl\u0131 olarak kapsay\u0131c\u0131 veya birbirini d\u0131\u015flayan etkinlikler","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-07-26T20:47:11+00:00","dateModified":"2023-07-26T20:47:11+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Bu e\u011fitimde, birbirini kapsayan ve birbirini d\u0131\u015flayan olaylar aras\u0131ndaki fark, her birinden birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/karsilikli-olarak-kapsayici-ve-birbirini-dislayan\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Kar\u015f\u0131l\u0131kl\u0131 olarak kapsay\u0131c\u0131 veya birbirini d\u0131\u015flayan etkinlikler"}]},{"@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\/1329","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=1329"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/1329\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=1329"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=1329"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=1329"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}