{"id":21,"date":"2023-08-06T18:21:27","date_gmt":"2023-08-06T18:21:27","guid":{"rendered":"https:\/\/statorials.org\/tr\/esit-olasilikli-ornekleme-alani\/"},"modified":"2023-08-06T18:21:27","modified_gmt":"2023-08-06T18:21:27","slug":"esit-olasilikli-ornekleme-alani","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/esit-olasilikli-ornekleme-alani\/","title":{"rendered":"E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzay"},"content":{"rendered":"

E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzay\u0131n ne anlama geldi\u011fini a\u00e7\u0131kl\u0131yoruz ve size e\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzaylar\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6steriyoruz. <\/p>\n

<\/span> E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzay nedir?<\/span><\/h2>\n

Olas\u0131l\u0131k teorisinde, e\u015fit olas\u0131l\u0131kl\u0131 bir \u00f6rnek uzay,<\/strong> t\u00fcm sonu\u00e7lar\u0131n ayn\u0131 meydana gelme olas\u0131l\u0131\u011f\u0131na sahip oldu\u011fu rastgele bir deneydeki olaylar k\u00fcmesidir.<\/p>\n

Bu nedenle, e\u015fit olas\u0131l\u0131\u011fa sahip bir \u00f6rnek uzayda meydana gelen her bir olay\u0131n olas\u0131l\u0131\u011f\u0131,<\/strong> \u00f6rnek uzaydaki toplam olay say\u0131s\u0131 \u00fczerinden bire e\u015fittir.<\/p>\n<\/p>\n

\"P=\\cfrac{1}{n}\"<\/p>\n<\/p>\n

Bu form\u00fcl Laplace kural\u0131ndan t\u00fcretilmi\u015ftir.<\/p>\n

Bu t\u00fcr bir \u00f6rnek uzayda olaylar\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131klar\u0131 ayn\u0131 oldu\u011fundan olaylar\u0131n e\u015f olas\u0131l\u0131kl\u0131 oldu\u011fu s\u00f6ylenir<\/strong> . Ba\u015fka bir deyi\u015fle olaylar aras\u0131nda e\u015f olas\u0131l\u0131k vard\u0131r.<\/p>\n

E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzaylar a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n

    \n
  • E\u015f olas\u0131l\u0131kl\u0131 bir \u00f6rnek uzaydaki her bir \u00f6\u011fe i\u00e7in bunun ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 s\u0131f\u0131rdan b\u00fcy\u00fck veya s\u0131f\u0131ra e\u015fittir.<\/li>\n
  • E\u015f olas\u0131l\u0131kl\u0131 bir \u00f6rnek uzaydaki t\u00fcm temel olaylar\u0131n olas\u0131l\u0131klar\u0131n\u0131n toplam\u0131 1’e e\u015fittir. <\/li>\n<\/ul>\n

    <\/span> E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzay \u00f6rnekleri<\/span><\/h2>\n

    E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzay\u0131n tan\u0131m\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, kavram\u0131n \u00f6z\u00fcmsenmesini tamamlamak i\u00e7in bu t\u00fcr \u00f6rnek uzay\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6rece\u011fiz.<\/p>\n

    \u00d6rne\u011fin, bir zar\u0131n yuvarlanmas\u0131, zar\u0131n her iki taraf\u0131n\u0131n da gelme olas\u0131l\u0131\u011f\u0131 ayn\u0131 oldu\u011fundan, e\u015fit olas\u0131l\u0131kl\u0131 bir \u00f6rnek uzaydan olu\u015fur. Zar\u0131n alt\u0131 y\u00fcz\u00fc oldu\u011fundan her bir y\u00fcz\u00fcn gelme olas\u0131l\u0131\u011f\u0131 birin alt\u0131ya b\u00f6l\u00fcnmesiyle hesaplan\u0131r:<\/p>\n<\/p>\n

    \"P=\\cfrac{1}{6}=0,167\"<\/p>\n<\/p>\n

    E\u015fit olas\u0131l\u0131kl\u0131 \u00f6rnek uzay\u0131n bir ba\u015fka \u00f6rne\u011fi de yaz\u0131 veya tura gelebilen bir yaz\u0131 tura at\u0131lmas\u0131d\u0131r. Her iki se\u00e7enek de ayn\u0131 \u00e7\u0131kt\u0131 olas\u0131l\u0131\u011f\u0131na sahiptir, yani %50, dolay\u0131s\u0131yla bu e\u015f olas\u0131l\u0131kl\u0131 bir \u00f6rnek uzayd\u0131r. <\/p>\n<\/p>\n

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

    <\/span> E\u015fsiz \u00f6rnek uzay<\/span><\/h2>\n

    E\u015fle\u015ftirilmez bir \u00f6rnek uzay,<\/strong> rastgele bir deneyde, bir sonucun di\u011fer sonu\u00e7tan farkl\u0131 bir ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131na sahip oldu\u011fu olaylar k\u00fcmesidir.<\/p>\n

    \u00d6rne\u011fin, bir kutuda \u00fc\u00e7 mavi top ve yedi turuncu top varsa, kutudan turuncu bir top \u00e7ekme olas\u0131l\u0131\u011f\u0131 mavi bir top \u00e7ekme olas\u0131l\u0131\u011f\u0131ndan daha y\u00fcksektir. Bu nedenle e\u015fitlenemeyen bir \u00f6rnek uzayd\u0131r.<\/p>\n

    E\u015f-olas\u0131l\u0131kl\u0131 ve e\u015fit-olas\u0131l\u0131ks\u0131z \u00f6rnek uzay aras\u0131ndaki fark, olaylar\u0131n olas\u0131l\u0131\u011f\u0131nda yatmaktad\u0131r. E\u015f olas\u0131l\u0131kl\u0131 bir \u00f6rnek uzayda olaylar\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 ayn\u0131 oldu\u011fundan, e\u015f olas\u0131l\u0131kl\u0131 olmayan bir \u00f6rnek uzayda olaylar\u0131n meydana gelme olas\u0131l\u0131klar\u0131 farkl\u0131d\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"

    E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzay\u0131n ne anlama geldi\u011fini a\u00e7\u0131kl\u0131yoruz ve size e\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzaylar\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6steriyoruz. E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzay nedir? Olas\u0131l\u0131k teorisinde, e\u015fit olas\u0131l\u0131kl\u0131 bir \u00f6rnek uzay, t\u00fcm sonu\u00e7lar\u0131n ayn\u0131 meydana gelme olas\u0131l\u0131\u011f\u0131na sahip oldu\u011fu rastgele bir deneydeki olaylar k\u00fcmesidir. Bu nedenle, e\u015fit olas\u0131l\u0131\u011fa sahip bir \u00f6rnek uzayda meydana gelen her bir olay\u0131n […]<\/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-21","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"\n\u25b7 E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzay nedir? (\u00f6rnekler)<\/title>\n<meta name=\"description\" content=\"E\u015f olas\u0131l\u0131kl\u0131 \u00f6rnek uzay\u0131n ne oldu\u011funu ve ne anlama geldi\u011fini a\u00e7\u0131kl\u0131yoruz. 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