{"id":32,"date":"2023-08-06T12:23:50","date_gmt":"2023-08-06T12:23:50","guid":{"rendered":"https:\/\/statorials.org\/tr\/zit-olay-tamamlayici-olay\/"},"modified":"2023-08-06T12:23:50","modified_gmt":"2023-08-06T12:23:50","slug":"zit-olay-tamamlayici-olay","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/zit-olay-tamamlayici-olay\/","title":{"rendered":"Ek etkinlik"},"content":{"rendered":"

Bu yaz\u0131m\u0131zda tamamlay\u0131c\u0131 (ya da z\u0131t) olaylar\u0131n ne oldu\u011funu ve bir olay\u0131n di\u011ferini tamamlay\u0131c\u0131 olmas\u0131n\u0131n ne anlama geldi\u011fini a\u00e7\u0131kl\u0131yoruz. Ayr\u0131ca tamamlay\u0131c\u0131 olay \u00f6rneklerini ve bu olay t\u00fcrlerinin hangi \u00f6zelliklere sahip oldu\u011funu g\u00f6rebileceksiniz. <\/p>\n

<\/span> Tamamlay\u0131c\u0131 olay nedir?<\/span><\/h2>\n

Kar\u015f\u0131t olay<\/strong> olarak da adland\u0131r\u0131lan tamamlay\u0131c\u0131 bir olay<\/strong> , rastgele bir deneydeki belirli bir olay\u0131n z\u0131t sonucudur. Ba\u015fka bir deyi\u015fle, biri di\u011ferinin z\u0131t sonucu olan iki olay tamamlay\u0131c\u0131d\u0131r.<\/p>\n

Bir di\u011ferini tamamlayan bir olay, kar\u015f\u0131t olay\u0131 belirten harfin \u00fczerindeki yatay \u00e7ubukla ifade edilir. \u00d6rne\u011fin bir A olay\u0131 verildi\u011finde, onun tamamlay\u0131c\u0131 olay\u0131 A’d\u0131r<\/span> .<\/p>\n

Tamamlay\u0131c\u0131 olaylara (veya kar\u015f\u0131t olaylara) ayn\u0131 zamanda tamamlay\u0131c\u0131 olaylar<\/strong> (veya kar\u015f\u0131t olaylar<\/strong> ) da denir. <\/p>\n

<\/span> Tamamlay\u0131c\u0131 etkinliklere \u00f6rnekler<\/span><\/h2>\n

Tamamlay\u0131c\u0131 olaylar\u0131n tan\u0131m\u0131n\u0131 g\u00f6z \u00f6n\u00fcnde bulundurarak, anlamlar\u0131n\u0131 tam olarak anlamak i\u00e7in, bu b\u00f6l\u00fcmde size bu t\u00fcr olaylar\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6sterece\u011fiz.<\/p>\n

Tamamlay\u0131c\u0131 olaylar\u0131n \u00e7ok a\u00e7\u0131k bir \u00f6rne\u011fi kura \u00e7ekiminde bulunabilir. Yaz\u0131<\/em> olay\u0131 ile yaz\u0131<\/em> olay\u0131 birbirinin z\u0131tt\u0131 oldu\u011fu i\u00e7in tamamlay\u0131c\u0131d\u0131r. Dikkat ederseniz iki olaydan biri ger\u00e7ekle\u015fti\u011finde di\u011feri ger\u00e7ekle\u015femiyor.<\/p>\n

Zar\u0131n at\u0131lmas\u0131yla daha fazla tamamlay\u0131c\u0131 olay\u0131 g\u00f6zlemleyebiliriz. \u00d6rne\u011fin \u201c\u00e7ift say\u0131 elde etme\u201d<\/em> ve \u201ctek say\u0131 alma\u201d<\/em> olaylar\u0131 birbirini tamamlay\u0131c\u0131 niteliktedir.<\/p>\n

Ancak “iki numaray\u0131 al”<\/em> ve “5 numaray\u0131 al”<\/em> olaylar\u0131, iki farkl\u0131 olay olmas\u0131na ra\u011fmen tamamlay\u0131c\u0131 de\u011fildir \u00e7\u00fcnk\u00fc 6 numaray\u0131 da alabilirsin. Dolay\u0131s\u0131yla iki olay, tek iki sonu\u00e7 olduklar\u0131nda tamamlay\u0131c\u0131d\u0131r. .olas\u0131. <\/p>\n

<\/span> Tamamlay\u0131c\u0131 etkinlikler ve birbirini d\u0131\u015flayan etkinlikler<\/span><\/h2>\n

Bu b\u00f6l\u00fcmde tamamlay\u0131c\u0131 (veya z\u0131t) olaylar ile birbirini d\u0131\u015flayan olaylar aras\u0131ndaki fark\u0131 vurgulamak istiyoruz \u00e7\u00fcnk\u00fc bunlar s\u0131kl\u0131kla kar\u0131\u015ft\u0131r\u0131lan iki kavramd\u0131r.<\/p>\n

Birbirini tamamlayan iki olay ile birbirini d\u0131\u015flayan iki olay aras\u0131ndaki fark,<\/strong> bunlar\u0131n kolektif olarak birbirini d\u0131\u015flayan olaylar olup olmamas\u0131d\u0131r. Tamamlay\u0131c\u0131 olaylar kolektif olarak d\u0131\u015flay\u0131c\u0131d\u0131r, ancak birbirini d\u0131\u015flayan olaylar de\u011fildir.<\/p>\n

Ba\u015fka bir deyi\u015fle, iki olay, rastgele bir deneyin yaln\u0131zca iki olas\u0131 sonucu oldu\u011funda birbirini tamamlay\u0131c\u0131 olacakt\u0131r. Ancak birbirini d\u0131\u015flayan iki olay, ayn\u0131 anda ger\u00e7ekle\u015femeyecekleri ancak yine de ba\u015fka bir olay\u0131n meydana gelebilece\u011fi bir deneyimin iki farkl\u0131 sonucudur.<\/p>\n

\u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131n\u0131 tamamlayan iki olay , “3’ten k\u00fc\u00e7\u00fck veya ona e\u015fit bir say\u0131n\u0131n at\u0131lmas\u0131”<\/em> ve “3’ten b\u00fcy\u00fck bir say\u0131n\u0131n at\u0131lmas\u0131”<\/em> olacakt\u0131r. Ancak birbirini d\u0131\u015flayan iki olay “1 numaray\u0131 almak”<\/em> ve “2 numaray\u0131 almak”<\/em> olacakt\u0131r, \u00e7\u00fcnk\u00fc bunlardan birinin ger\u00e7ekle\u015fmesi di\u011ferinin olamayaca\u011f\u0131 anlam\u0131na gelir, ancak yine de ayn\u0131 at\u0131\u015fta ba\u015fka say\u0131lar elde edebiliriz.<\/p>\n

Bu nedenle, t\u00fcm tamamlay\u0131c\u0131 olaylar birbirini d\u0131\u015flar<\/strong> , ancak birbirini d\u0131\u015flayan iki olay\u0131n mutlaka tamamlay\u0131c\u0131 olmas\u0131 gerekmez. <\/p>\n

<\/span> Tamamlay\u0131c\u0131 olaylar\u0131n \u00f6zellikleri<\/span><\/h2>\n

Tamamlay\u0131c\u0131 (veya z\u0131t) olaylar a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n

    \n
  • Bir olay\u0131n ve onu tamamlay\u0131c\u0131 olay\u0131n birle\u015fimi, rastgele deneyin \u00f6rnek uzay\u0131n\u0131 olu\u015fturur.<\/li>\n<\/ul>\n

    \"A\\cup\\overline{A}=\\Omega\"<\/p>\n<\/p>\n

      \n
    • Bir olay ile onun tamamlay\u0131c\u0131 olay\u0131n\u0131n kesi\u015fimi bo\u015f k\u00fcmedir.<\/li>\n<\/ul>\n

      \"A\\cap\\overline{A}=\\varnothing\"<\/p>\n<\/p>\n

        \n
      • Bu nedenle \u00f6rnek uzay\u0131n tamamlay\u0131c\u0131 olay\u0131 bo\u015f k\u00fcmedir ve bunun tersi de ge\u00e7erlidir.<\/li>\n<\/ul>\n

        \"\\overline{\\Omega}=\\varnothing\"<\/p>\n<\/p>\n

        \"\\overline{\\varnothing}=\\Omega\"<\/p>\n<\/p>\n

          \n
        • Tamamlay\u0131c\u0131 bir etkinli\u011fin tamamlay\u0131c\u0131 etkinli\u011fi orijinal etkinliktir.<\/li>\n<\/ul>\n

          \"\\overline{\\overline{A}}=A\"<\/p>\n<\/p>\n

            \n
          • Tamamlay\u0131c\u0131 bir A<\/span> olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131, A olay\u0131n\u0131n olas\u0131l\u0131\u011f\u0131 bilinerek hesaplanabilir, \u00e7\u00fcnk\u00fc A<\/span> olay\u0131n\u0131n olas\u0131l\u0131\u011f\u0131 bir eksi kar\u015f\u0131t olay\u0131n olas\u0131l\u0131\u011f\u0131na e\u015fittir.<\/li>\n<\/ul>\n

            \"P\\left(\\overline{A}\\right)=1-P(A)\"<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"

            Bu yaz\u0131m\u0131zda tamamlay\u0131c\u0131 (ya da z\u0131t) olaylar\u0131n ne oldu\u011funu ve bir olay\u0131n di\u011ferini tamamlay\u0131c\u0131 olmas\u0131n\u0131n ne anlama geldi\u011fini a\u00e7\u0131kl\u0131yoruz. Ayr\u0131ca tamamlay\u0131c\u0131 olay \u00f6rneklerini ve bu olay t\u00fcrlerinin hangi \u00f6zelliklere sahip oldu\u011funu g\u00f6rebileceksiniz. Tamamlay\u0131c\u0131 olay nedir? Kar\u015f\u0131t olay olarak da adland\u0131r\u0131lan tamamlay\u0131c\u0131 bir olay , rastgele bir deneydeki belirli bir olay\u0131n z\u0131t sonucudur. Ba\u015fka bir deyi\u015fle, […]<\/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-32","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"\n\u25b7 Tamamlay\u0131c\u0131 (veya z\u0131t) olay: anlam ve \u00f6rnekler<\/title>\n<meta name=\"description\" content=\"Tamamlay\u0131c\u0131 (veya z\u0131t) olay nedir? 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