{"id":33,"date":"2023-08-06T11:42:01","date_gmt":"2023-08-06T11:42:01","guid":{"rendered":"https:\/\/statorials.org\/tr\/olaylar-olasi-olaylar\/"},"modified":"2023-08-06T11:42:01","modified_gmt":"2023-08-06T11:42:01","slug":"olaylar-olasi-olaylar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/olaylar-olasi-olaylar\/","title":{"rendered":"E\u015fit olas\u0131l\u0131kl\u0131 olaylar (veya e\u015fit olas\u0131l\u0131kl\u0131 olaylar)"},"content":{"rendered":"<p>Burada, e\u015fit olas\u0131l\u0131kl\u0131 olaylar olarak da adland\u0131r\u0131lan, e\u015fit olas\u0131l\u0131kl\u0131 olaylar\u0131n ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. E\u015fit olas\u0131l\u0131kl\u0131 olaylar\u0131n \u00f6rneklerini ve bu t\u00fcr olaylar\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-los-sucesos-equiprobables\"><\/span> E\u015f olas\u0131l\u0131kl\u0131 olaylar nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>E\u015f olas\u0131l\u0131kl\u0131 olaylar, ayn\u0131 ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131na sahip rastgele bir deneyin sonu\u00e7lar\u0131d\u0131r.<\/strong> Yani, iki veya daha fazla olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131klar\u0131 tamamen ayn\u0131ysa e\u015fit olas\u0131l\u0131kl\u0131d\u0131r.<\/p>\n<p> E\u015fit olas\u0131l\u0131kl\u0131 olaylara ayn\u0131 zamanda <strong>e\u015fit olas\u0131l\u0131kl\u0131 olaylar<\/strong> da denir.<\/p>\n<p> \u0130lgin\u00e7 bir \u015fekilde, &#8220;equi&#8221; \u00f6n eki Yunancadan gelir ve e\u015fit anlam\u0131na gelir; dolay\u0131s\u0131yla e\u015f-olas\u0131l\u0131k, bunlar\u0131n meydana gelme olas\u0131l\u0131klar\u0131n\u0131n ayn\u0131 oldu\u011fu anlam\u0131na gelir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-sucesos-equiprobables\"><\/span> E\u015fit olas\u0131l\u0131kl\u0131 olaylara \u00f6rnekler<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> E\u015fit olas\u0131l\u0131kl\u0131 olaylar\u0131n tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra, anlamlar\u0131n\u0131 daha iyi anlamak i\u00e7in bu t\u00fcr olaylar\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6rece\u011fiz.<\/p>\n<p> \u00d6rne\u011fin, bir zar at\u0131ld\u0131\u011f\u0131nda alt\u0131 olas\u0131 sonu\u00e7 vard\u0131r ve her iki tarafta farkl\u0131 bir say\u0131 oldu\u011fundan t\u00fcm sonu\u00e7lar\u0131n olas\u0131l\u0131klar\u0131 ayn\u0131d\u0131r. Bu nedenle, olas\u0131 alt\u0131 olay\u0131n t\u00fcm\u00fc e\u015fit olas\u0131l\u0131kl\u0131d\u0131r.<\/p>\n<p> E\u015fit olas\u0131l\u0131kl\u0131 olaylara bir ba\u015fka \u00f6rnek de yaz\u0131 tura atman\u0131n iki olas\u0131 sonucudur. Yaz\u0131 veya tura gelme olas\u0131l\u0131\u011f\u0131 e\u015fit oldu\u011fundan, bu rastgele deneyde e\u015fit olas\u0131l\u0131k vard\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"sucesos-equiprobables-seguros-e-imposibles\"><\/span> E\u015fit olas\u0131l\u0131kl\u0131, kesin ve imkans\u0131z olaylar<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Daha sonra <strong>e\u015fit olas\u0131l\u0131kl\u0131, kesin ve imkans\u0131z olaylar<\/strong> kavramlar\u0131n\u0131n nas\u0131l farkl\u0131la\u015ft\u0131\u011f\u0131n\u0131 g\u00f6rece\u011fiz.<\/p>\n<p> Yukar\u0131da g\u00f6rd\u00fc\u011f\u00fcm\u00fcz gibi, olaylar veya e\u015fit olas\u0131l\u0131kl\u0131 olaylar, e\u015fit olas\u0131l\u0131kl\u0131 olaylar dizisidir. \u00d6te yandan baz\u0131 olaylar, sonu\u00e7lar\u0131 ne olursa olsun her zaman ger\u00e7ekle\u015fecek olaylard\u0131r. Ve son olarak imkans\u0131z olaylar asla ger\u00e7ekle\u015fmeyecek olaylard\u0131r.<\/p>\n<p> Bu nedenle, e\u015fit olas\u0131l\u0131kl\u0131 olaylar\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 ayn\u0131d\u0131r, baz\u0131 olaylar\u0131n olas\u0131l\u0131\u011f\u0131 %100&#8217;d\u00fcr, imkans\u0131z olaylar\u0131n olas\u0131l\u0131\u011f\u0131 ise %0&#8217;d\u0131r.<\/p>\n<p> Bu t\u00fcr etkinliklerin \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\/olay-olayi\/\">G\u00fcvenli olay \u00f6rnekleri<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/imkansiz-olay\/\">\u0130mkans\u0131z olay \u00f6rnekleri<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-de-sucesos-equiprobables\"><\/span> E\u015fit olas\u0131l\u0131kl\u0131 olaylar\u0131n olas\u0131l\u0131\u011f\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> E\u015f olas\u0131l\u0131kl\u0131 olaylar\u0131n olas\u0131l\u0131\u011f\u0131 <strong>Laplace kural\u0131<\/strong> kullan\u0131larak hesaplan\u0131r; buna g\u00f6re e\u015f olas\u0131 olaylar\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 birin olas\u0131 sonu\u00e7lar\u0131n toplam say\u0131s\u0131na b\u00f6l\u00fcnmesine 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-03fc529a544c6ec4c2c568f6e5d61b2a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{1}{n}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"50\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> \u00d6rne\u011fin bir zar\u0131 att\u0131\u011f\u0131n\u0131zda ayn\u0131 olas\u0131l\u0131\u011fa sahip alt\u0131 olas\u0131 sonu\u00e7 vard\u0131r, yani her olay\u0131n olas\u0131l\u0131\u011f\u0131 1\/6 olacakt\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-d8d6889656fa0d5faf24bf66b58d9e27_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P=\\cfrac{1}{6}=0,167\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"116\" style=\"vertical-align: -12px;\"><\/p><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Burada, e\u015fit olas\u0131l\u0131kl\u0131 olaylar olarak da adland\u0131r\u0131lan, e\u015fit olas\u0131l\u0131kl\u0131 olaylar\u0131n ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. E\u015fit olas\u0131l\u0131kl\u0131 olaylar\u0131n \u00f6rneklerini ve bu t\u00fcr olaylar\u0131n olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6rebileceksiniz. E\u015f olas\u0131l\u0131kl\u0131 olaylar nelerdir? E\u015f olas\u0131l\u0131kl\u0131 olaylar, ayn\u0131 ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131na sahip rastgele bir deneyin sonu\u00e7lar\u0131d\u0131r. Yani, iki veya daha fazla olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131klar\u0131 tamamen ayn\u0131ysa e\u015fit olas\u0131l\u0131kl\u0131d\u0131r. E\u015fit olas\u0131l\u0131kl\u0131 olaylara [&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-33","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 E\u015fit olas\u0131l\u0131kl\u0131 olaylar nelerdir? (\u00f6rnekler)<\/title>\n<meta name=\"description\" content=\"E\u015f-olas\u0131l\u0131kl\u0131 olaylar (veya e\u015fit-olas\u0131l\u0131kl\u0131 olaylar) nelerdir ve bunlar\u0131n olas\u0131l\u0131klar\u0131 nas\u0131l hesaplan\u0131r? 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