{"id":29,"date":"2023-08-06T13:46:37","date_gmt":"2023-08-06T13:46:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/uyumsuz-olaylar\/"},"modified":"2023-08-06T13:46:37","modified_gmt":"2023-08-06T13:46:37","slug":"uyumsuz-olaylar","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/uyumsuz-olaylar\/","title":{"rendered":"Uyumsuz olaylar"},"content":{"rendered":"

Bu yaz\u0131da uyumsuz olaylar\u0131n ne oldu\u011funu a\u00e7\u0131klayaca\u011f\u0131z ve ayr\u0131ca bu t\u00fcr olaylar\u0131n \u00e7e\u015fitli \u00f6rneklerini g\u00f6rebileceksiniz. Ayr\u0131ca iki uyumsuz olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve uyumsuz olaylar, uyumlu olaylar ve z\u0131t olaylar aras\u0131ndaki farklar\u0131n neler oldu\u011funu da ke\u015ffedeceksiniz. <\/p>\n

<\/span> Uyumsuz olaylar nelerdir?<\/span><\/h2>\n

\u0130ki veya daha fazla olay, ayn\u0131 anda meydana gelmedi\u011finde uyumsuzdur<\/strong> ; yani, iki veya daha fazla olay , ortak bir temel olaya<\/strong> sahip olmad\u0131klar\u0131nda uyumsuzdur.<\/p>\n

Uyumsuz olaylara uyumsuz olaylar da denir. <\/p>\n

\u27a4<\/span> Bak\u0131n\u0131z:<\/strong> Temel Etkinlik<\/a> <\/div>\n

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

Uyumsuz olaylar\u0131n anlam\u0131n\u0131 yaln\u0131zca tan\u0131m\u0131ndan anlamak biraz zordur, bu nedenle a\u015fa\u011f\u0131da size bu t\u00fcr olaylar\u0131n birka\u00e7 \u00f6rne\u011fini g\u00f6sterece\u011fiz.<\/p>\n

\u00d6rne\u011fin, bir zar\u0131n at\u0131lmas\u0131 s\u0131ras\u0131nda birbiriyle ba\u011fda\u015fmayan iki olay “\u00e7ift say\u0131n\u0131n at\u0131lmas\u0131”<\/em> ve “2’den k\u00fc\u00e7\u00fck bir say\u0131n\u0131n at\u0131lmas\u0131”d\u0131r.<\/em> \u0130ki olay birbiriyle ba\u011fda\u015fmaz \u00e7\u00fcnk\u00fc asla ayn\u0131 anda ger\u00e7ekle\u015fmeyeceklerdir, \u00e7\u00fcnk\u00fc elde edilebilecek ikiden k\u00fc\u00e7\u00fck tek say\u0131 tek olan 1’dir.<\/p>\n

\u015eimdi bir desteden rastgele bir kart \u00e7ekme rastgele deneyini yaparsak, iki uyumsuz olay “bir kalp kart\u0131 \u00e7ekmek”<\/em> ve “bir elmas kart \u00e7ekmek” olabilir.<\/em> \u00c7\u00fcnk\u00fc bir kart hem kalp hem de elmas olamaz. <\/p>\n

<\/span> Uyumsuz olaylar\u0131n olas\u0131l\u0131\u011f\u0131<\/span><\/h2>\n

Birbiriyle ba\u011fda\u015fmayan iki A ve B olay\u0131n\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131,<\/strong> A olay\u0131n\u0131n olas\u0131l\u0131\u011f\u0131 art\u0131 B olay\u0131n\u0131n olas\u0131l\u0131\u011f\u0131na e\u015fittir.<\/p>\n<\/p>\n

\"<\/p>\n<\/p>\n

Birbiriyle ba\u011fda\u015fmayan iki olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesapland\u0131\u011f\u0131n\u0131 g\u00f6rebilmeniz i\u00e7in a\u015fa\u011f\u0131da ad\u0131m ad\u0131m bir al\u0131\u015ft\u0131rma \u00e7\u00f6zece\u011fiz.<\/p>\n

    \n
  • Bir zar\u0131n at\u0131lmas\u0131n\u0131n \u00e7ift say\u0131 veya 3’\u00fcn kat\u0131yla sonu\u00e7lanma olas\u0131l\u0131\u011f\u0131n\u0131 hesaplay\u0131n.<\/li>\n<\/ul>\n

    Unutulmamal\u0131d\u0131r ki iki olay birbiriyle ba\u011fda\u015fmaz ve birlikte meydana gelme olas\u0131l\u0131klar\u0131 s\u0131f\u0131rd\u0131r. Ancak bir olay\u0131n veya di\u011ferinin ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 belirlenebilir. Bunu yapmak i\u00e7in her olay\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 bulmam\u0131z ve sonra bunlar\u0131 toplamam\u0131z gerekir.<\/p>\n

    Bu nedenle ilk \u00f6nce ortaya \u00e7\u0131kan say\u0131n\u0131n \u00e7ift olma olas\u0131l\u0131\u011f\u0131n\u0131 hesapl\u0131yoruz. Bir zar\u0131n \u00fczerinde \u00fc\u00e7 \u00e7ift say\u0131 vard\u0131r (2, 4, 6), dolay\u0131s\u0131yla bu say\u0131lar\u0131n gelme olas\u0131l\u0131\u011f\u0131:<\/p>\n<\/p>\n

    \"P(A)=\\cfrac{3}{6}=0,5\"<\/p>\n<\/p>\n

    \u00d6te yandan, bir zarda 3’\u00fcn yaln\u0131zca iki kat\u0131 vard\u0131r (3 ve 6), bu nedenle bunlar\u0131n ortaya \u00e7\u0131kma olas\u0131l\u0131klar\u0131 \u015f\u00f6yle olacakt\u0131r:<\/p>\n<\/p>\n

    \"P(B)=\\cfrac{2}{6}=0,33\"<\/p>\n<\/p>\n

    Daha sonra yukar\u0131da hesaplanan iki olas\u0131l\u0131\u011f\u0131 toplar\u0131z ve b\u00f6ylece iki uyumsuz olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 buluruz: <\/p>\n<\/p>\n

    \"<\/p>\n<\/p>\n

    <\/span> Uyumsuz olaylar ve uyumlu olaylar<\/span><\/h2>\n

    Uyumsuz olaylar ile uyumlu olaylar aras\u0131ndaki fark,<\/strong> ortak meydana gelme olas\u0131l\u0131\u011f\u0131nda yatmaktad\u0131r. \u0130ki olay hi\u00e7bir zaman ayn\u0131 anda meydana gelemiyorsa uyumsuzdur; tam tersine iki olay ayn\u0131 anda ger\u00e7ekle\u015febildi\u011finde uyumludur.<\/p>\n

    Bir zar\u0131 atarak uyumsuz olaylar\u0131n ve uyumlu olaylar\u0131n \u00f6rneklerini kolayca tespit edebiliriz. \u201c3’\u00fcn katlar\u0131n\u0131 elde etme\u201d<\/em> ve \u201c2’den k\u00fc\u00e7\u00fck bir say\u0131 elde etme\u201d<\/em> olaylar\u0131 uyumsuz, ancak \u201c\u00e7ift say\u0131 elde etme\u201d<\/em> ve \u201c6’dan farkl\u0131 bir say\u0131 elde etme\u201d<\/em> olaylar\u0131 uyumludur. <\/p>\n

    <\/span> Uyumsuz olaylar ve ayk\u0131r\u0131 olaylar<\/span><\/h2>\n

    Birbiriyle ba\u011fda\u015fmayan olaylar ve z\u0131t (veya z\u0131t) olaylar iki farkl\u0131 kavram olmas\u0131na ra\u011fmen birbirleriyle ili\u015fkilidirler.<\/p>\n

    Birbirine z\u0131t iki olay her zaman birbiriyle ba\u011fda\u015fmaz<\/strong> \u00e7\u00fcnk\u00fc asla ayn\u0131 anda meydana gelemezler. Bununla birlikte, bir olay\u0131n mutlaka di\u011ferinin z\u0131tt\u0131 olmas\u0131 gerekmedi\u011finden, iki uyumsuz olay\u0131n kar\u015f\u0131t olmas\u0131 gerekmez.<\/p>\n

    \u00d6rne\u011fin, bir zar at\u0131ld\u0131\u011f\u0131nda , “\u00e7ift say\u0131n\u0131n at\u0131lmas\u0131”<\/em> ve “tek say\u0131n\u0131n at\u0131lmas\u0131”<\/em> iki z\u0131t ve uyumsuz olayd\u0131r; “5’in katlar\u0131n\u0131 atma”<\/em> ve “2’nin katlar\u0131n\u0131 atma” ise<\/em> uyumsuzdur, ancak ayk\u0131r\u0131 de\u011fil.<\/p>\n","protected":false},"excerpt":{"rendered":"

    Bu yaz\u0131da uyumsuz olaylar\u0131n ne oldu\u011funu a\u00e7\u0131klayaca\u011f\u0131z ve ayr\u0131ca bu t\u00fcr olaylar\u0131n \u00e7e\u015fitli \u00f6rneklerini g\u00f6rebileceksiniz. Ayr\u0131ca iki uyumsuz olay\u0131n birle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve uyumsuz olaylar, uyumlu olaylar ve z\u0131t olaylar aras\u0131ndaki farklar\u0131n neler oldu\u011funu da ke\u015ffedeceksiniz. Uyumsuz olaylar nelerdir? \u0130ki veya daha fazla olay, ayn\u0131 anda meydana gelmedi\u011finde uyumsuzdur ; yani, iki veya daha […]<\/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-29","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"\n\u25b7 Uyumsuz olaylar nelerdir? 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