{"id":23,"date":"2023-08-06T17:07:16","date_gmt":"2023-08-06T17:07:16","guid":{"rendered":"https:\/\/statorials.org\/tr\/basit-olay-temel-olay\/"},"modified":"2023-08-06T17:07:16","modified_gmt":"2023-08-06T17:07:16","slug":"basit-olay-temel-olay","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/basit-olay-temel-olay\/","title":{"rendered":"Basit olay (veya temel olay)"},"content":{"rendered":"

Bu makalede, temel olay olarak da adland\u0131r\u0131lan basit bir olay\u0131n ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. Basit olay \u00f6rneklerini ve basit olay, bile\u015fik olay ve \u00f6rnek uzay aras\u0131ndaki farklar\u0131n neler oldu\u011funu g\u00f6rebileceksiniz. <\/p>\n

<\/span>Basit olay nedir?<\/span><\/h2>\n

Temel olay<\/strong> , basit olay<\/strong> veya temel olay<\/strong> olarak da adland\u0131r\u0131lan basit bir<\/strong> olay, rastgele bir deneyin olas\u0131 sonu\u00e7lar\u0131n\u0131n her biridir. Dolay\u0131s\u0131yla tek bir olay, rastgele bir deneyden elde edilebilecek en temel sonu\u00e7tur.<\/p>\n

\u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131n\u0131n alt\u0131 olas\u0131 basit olay\u0131 (veya temel olay\u0131) vard\u0131r. <\/p>\n

<\/span> Basit olaylara \u00f6rnekler<\/span><\/h2>\n

A\u015fa\u011f\u0131da basit bir olay\u0131n tan\u0131m\u0131n\u0131 dikkate alarak bu t\u00fcr olay\u0131n iki farkl\u0131 \u00f6rne\u011fini a\u00e7\u0131klayaca\u011f\u0131z.<\/p>\n

<\/span> bir zar atmak<\/span><\/h3>\n

Bir zar\u0131n alt\u0131 y\u00fcz\u00fc vard\u0131r, dolay\u0131s\u0131yla bir zar\u0131 att\u0131\u011f\u0131n\u0131zda bunlardan birinin gelme ihtimali vard\u0131r. Bu nedenle zar at\u0131\u015flar\u0131, her biri bu \u015fekilde elde edilebilecek taraflar olan alt\u0131 olas\u0131 basit olaydan olu\u015fur.<\/p>\n<\/p>\n

\"\\Omega=\\{1,2,3,4,5,6\\}\"<\/p>\n<\/p>\n

Bu durumda t\u00fcm olaylar\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 ayn\u0131d\u0131r, bu nedenle olaylar\u0131n e\u015fit olas\u0131l\u0131kl\u0131 oldu\u011funu s\u00f6yleriz<\/strong> .<\/p>\n

<\/span>bir k\u00f6\u015feye atmak<\/span><\/h3>\n

Basit bir etkinli\u011fin anlam\u0131n\u0131 anlamay\u0131 tamamlamak i\u00e7in, \u00e7ekili\u015flerdeki ba\u015fka bir yayg\u0131n \u00f6rne\u011fi g\u00f6rece\u011fiz: \u00e7ekili\u015f.<\/p>\n

Yaz\u0131 tura atmada, madalyonun iki olas\u0131 y\u00fcz\u00fcn\u00fcn her biri olan iki olas\u0131 basit olay (veya temel olay) vard\u0131r. Basit olaylardan biri madalyonun tura olmas\u0131, di\u011fer basit olay ise paran\u0131n yaz\u0131 olmas\u0131 olabilir.<\/p>\n<\/p>\n

\"\\Omega=\\{\\text{cara},\\text{cruz}\\}\"<\/p>\n<\/p>\n

Deneydeki basit olaylar e\u015fit olas\u0131l\u0131kl\u0131 oldu\u011fundan, bunlar\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in birini olas\u0131 sonu\u00e7lar\u0131n say\u0131s\u0131na b\u00f6lmeniz yeterlidir.<\/p>\n<\/p>\n

\"P=\\cfrac{1}{2}=0,5\"<\/p>\n<\/p>\n

Bu nedenle, her bir olay\u0131n \u00e7\u0131kt\u0131 olas\u0131l\u0131\u011f\u0131 %50’dir.<\/p>\n

<\/span> Basit olay ve \u00f6rnek uzay<\/span><\/h2>\n

Bu b\u00f6l\u00fcmde basit olay ile \u00f6rnek uzay aras\u0131ndaki fark\u0131 iki farkl\u0131 kavram oldu\u011fundan a\u00e7\u0131klamak istiyoruz.<\/p>\n

Basit olay<\/strong> (veya temel olay), rastgele bir deney ger\u00e7ekle\u015ftirirken elde edilebilecek olas\u0131 sonu\u00e7lar\u0131n her biridir. \u00d6te yandan \u00f6rnek uzay<\/strong> , rastgele bir deneyin t\u00fcm olas\u0131 sonu\u00e7lar\u0131n\u0131n k\u00fcmesidir, yani \u00f6rnek uzay t\u00fcm basit olaylar\u0131n k\u00fcmesidir.<\/p>\n

Zar \u00f6rne\u011fini takip edersek, basit bir olay 3 say\u0131s\u0131n\u0131 yuvarlamak olacakt\u0131r, ancak \u00f6rnek uzay yuvarlanabilecek t\u00fcm olas\u0131 y\u00fczlerden olu\u015fur (1, 2, 3, 4, 5, 6).<\/p>\n

G\u00f6rd\u00fc\u011f\u00fcn\u00fcz gibi tek olaylar ve \u00f6rnek uzaylar hem olas\u0131l\u0131kta rastgele bir deneyi tan\u0131mlamak i\u00e7in hem de istatistikte s\u00f6z konusu deneyi incelemek i\u00e7in kullan\u0131lan iki temel kavramd\u0131r.<\/p>\n

<\/span> Basit olay ve bile\u015fik olay<\/span><\/h2>\n

Basit bir olay ile bile\u015fik olay<\/strong> aras\u0131ndaki fark, sonu\u00e7lar\u0131n say\u0131s\u0131d\u0131r; basit bir olay, rastgele bir deneyin tek olas\u0131 sonucudur; bile\u015fik olay ise iki veya daha fazla olas\u0131 sonu\u00e7tan olu\u015fan bir dizidir.<\/p>\n

Dolay\u0131s\u0131yla bir bile\u015fik olay (veya bile\u015fik olay), birka\u00e7 basit olaydan (veya temel olaydan) olu\u015fur.<\/p>\n

\u00d6rne\u011fin bir zar\u0131n at\u0131lmas\u0131 deneyinde 1 say\u0131s\u0131n\u0131n at\u0131lmas\u0131 basit bir olayd\u0131r. Ancak 2’den b\u00fcy\u00fck bir say\u0131n\u0131n yuvarlanmas\u0131 d\u00f6rt basit olaydan (3, 4, 5 ve 6) olu\u015fan bir olayd\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"

Bu makalede, temel olay olarak da adland\u0131r\u0131lan basit bir olay\u0131n ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. Basit olay \u00f6rneklerini ve basit olay, bile\u015fik olay ve \u00f6rnek uzay aras\u0131ndaki farklar\u0131n neler oldu\u011funu g\u00f6rebileceksiniz. Basit olay nedir? Temel olay , basit olay veya temel olay olarak da adland\u0131r\u0131lan basit bir olay, rastgele bir deneyin olas\u0131 sonu\u00e7lar\u0131n\u0131n her biridir. Dolay\u0131s\u0131yla tek […]<\/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-23","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"\n\u25b7 Basit olay (veya temel olay): tan\u0131m ve \u00f6rnekler<\/title>\n<meta name=\"description\" content=\"Basit bir olay\u0131n (veya temel olay\u0131n) ne oldu\u011funu a\u00e7\u0131kl\u0131yoruz. 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