{"id":3138,"date":"2023-07-19T00:58:27","date_gmt":"2023-07-19T00:58:27","guid":{"rendered":"https:\/\/statorials.org\/tr\/kosullu-olasilik-gercek-ornekleri\/"},"modified":"2023-07-19T00:58:27","modified_gmt":"2023-07-19T00:58:27","slug":"kosullu-olasilik-gercek-ornekleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/kosullu-olasilik-gercek-ornekleri\/","title":{"rendered":"Ko\u015fullu olas\u0131l\u0131\u011f\u0131n ger\u00e7ek hayatta kullan\u0131m\u0131na 4 \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><em>B<\/em> olay\u0131n\u0131n meydana geldi\u011fi dikkate al\u0131nd\u0131\u011f\u0131nda, <em>A<\/em> olay\u0131n\u0131n ger\u00e7ekle\u015fmesinin <strong>ko\u015fullu olas\u0131l\u0131\u011f\u0131<\/strong> a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>P(A|B) = P(A\u2229B) \/ P(B)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>P(A\u2229B)<\/strong> = <em>A<\/em> olay\u0131n\u0131n ve <em>B<\/em> olay\u0131n\u0131n her ikisinin de meydana gelme olas\u0131l\u0131\u011f\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P(B)<\/strong> = B olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ko\u015fullu olas\u0131l\u0131k, hava tahmini, spor bahisleri, sat\u0131\u015f tahmini ve daha fazlas\u0131 dahil olmak \u00fczere her t\u00fcrl\u00fc ger\u00e7ek hayattaki alanda kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, ko\u015fullu olas\u0131l\u0131\u011f\u0131n 4 ger\u00e7ek d\u00fcnya durumunda d\u00fczenli olarak nas\u0131l kullan\u0131ld\u0131\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Hava tahmini<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ko\u015fullu olas\u0131l\u0131\u011f\u0131 kullanman\u0131n ger\u00e7ek d\u00fcnyadaki en yayg\u0131n \u00f6rneklerinden biri <strong>hava tahminidir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Meteorologlar, mevcut ko\u015fullar g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda gelecekteki hava ko\u015fullar\u0131n\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmek i\u00e7in ko\u015fullu olas\u0131l\u0131\u011f\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin a\u015fa\u011f\u0131daki iki olas\u0131l\u0131\u011f\u0131n bilindi\u011fini varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(bulutlu) = 0,25<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(ya\u011fmurlu\u2229bulutlu) = 0,15<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir hava tahmincisi, havan\u0131n bulutlu oldu\u011fu g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, belirli bir g\u00fcnde ya\u011fmur ya\u011fma olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in bu de\u011ferleri kullanabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(ya\u011fmur|bulutlu) = P(ya\u011fmur\u2229bulutlu) \/ P(bulutlu)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(ya\u011fmur|bulutlu) = 0,15 \/ 0,25<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(ya\u011fmur|bulutlu) = 0,6<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Havan\u0131n bulutlu olmas\u0131 <em>durumunda<\/em> ya\u011fmur ya\u011fma ihtimali 0,6 yani <strong>%60&#8217;t\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu basitle\u015ftirilmi\u015f bir \u00f6rnektir, ancak ger\u00e7ek hayatta tahminciler mevcut hava ko\u015fullar\u0131 hakk\u0131nda veri toplamak i\u00e7in bilgisayar programlar\u0131n\u0131 kullan\u0131r ve gelecekteki hava ko\u015fullar\u0131n\u0131n olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in ko\u015fullu olas\u0131l\u0131\u011f\u0131 kullan\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Spor Bahisleri<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ko\u015fullu olas\u0131l\u0131k, spor bahis \u015firketleri taraf\u0131ndan belirli tak\u0131mlar\u0131n belirli oyunlar\u0131 kazanmas\u0131 i\u00e7in belirlemeleri gereken oranlar\u0131 belirlemek amac\u0131yla s\u0131kl\u0131kla kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin bir basketbol tak\u0131m\u0131 i\u00e7in a\u015fa\u011f\u0131daki iki olas\u0131l\u0131\u011f\u0131n bilindi\u011fini varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P (A tak\u0131m\u0131n\u0131n y\u0131ld\u0131z oyuncusu sakatland\u0131) = 0,15<\/span><\/li>\n<li> <span style=\"color: #000000;\">P (A Tak\u0131m\u0131 kazan\u0131r \u2229A Tak\u0131m\u0131n\u0131n ilk oyuncusu sakatlan\u0131r) = 0,02<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u015eirket, y\u0131ld\u0131z oyuncusunun sakatlanmas\u0131 durumunda A Tak\u0131m\u0131n\u0131n kazanma olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in bu de\u011ferleri kullanabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P (A tak\u0131m\u0131 kazan\u0131r | y\u0131ld\u0131z sakatlan\u0131r) = P (A tak\u0131m\u0131 kazan\u0131r \u2229 y\u0131ld\u0131z sakatlan\u0131r) \/ P (y\u0131ld\u0131z sakatlan\u0131r)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P (A tak\u0131m\u0131 kazan\u0131r | y\u0131ld\u0131z sakatlan\u0131r) = 0,02 \/ 0,15<\/span><\/li>\n<li> <span style=\"color: #000000;\">P (A tak\u0131m\u0131 kazan\u0131r | y\u0131ld\u0131z sakatlan\u0131r) = 0,13<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Y\u0131ld\u0131z oyuncusunun sakatlanmas\u0131 <em>durumunda<\/em> A tak\u0131m\u0131n\u0131n kazanma olas\u0131l\u0131\u011f\u0131 0,13 veya <strong>%13&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Spor bahis \u015firketi, y\u0131ld\u0131z oyuncunun sakatland\u0131\u011f\u0131n\u0131 ma\u00e7tan \u00f6nce \u00f6\u011frenirse, oranlar\u0131n\u0131 ve \u00f6demelerini buna g\u00f6re g\u00fcncellemek i\u00e7in ko\u015fullu olas\u0131l\u0131\u011f\u0131 kullanabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, spor bahis \u015firketlerinde basketbol, futbol, beyzbol, hokey vb. i\u00e7in \u00e7e\u015fitli oranlar\u0131 hesaplarken her zaman olur. oyunlar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3: Sat\u0131\u015f Tahmini<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Perakende \u015firketleri, \u00fcr\u00fcn promosyonlar\u0131na dayal\u0131 olarak belirli bir \u00fcr\u00fcn\u00fc satma \u015fanslar\u0131n\u0131 tahmin etmek i\u00e7in ko\u015fullu olas\u0131l\u0131\u011f\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin a\u015fa\u011f\u0131daki iki olas\u0131l\u0131\u011f\u0131n bilindi\u011fini varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(terfi) = 0,35<\/span><\/li>\n<li> <span style=\"color: #000000;\">P (indirim\u2229promosyon) = 0,15<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir perakende \u015firketi, o g\u00fcn bir \u00fcr\u00fcn promosyonu yap\u0131ld\u0131\u011f\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, belirli bir \u00fcr\u00fcn\u00fcn stokta kalmama olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in bu de\u011ferleri kullanabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P (indirim | promosyon) = P (indirim\u2229promosyon) \/ P (promosyon)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P (indirim | promosyon) = 0,15 \/ 0,35<\/span><\/li>\n<li> <span style=\"color: #000000;\">P (indirim | promosyon) = 0,428<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">O g\u00fcn promosyon yap\u0131ld\u0131\u011f\u0131na <em>g\u00f6re<\/em> perakende firman\u0131n \u00fcr\u00fcn\u00fc satma olas\u0131l\u0131\u011f\u0131 0,428 yani <strong>%42,8&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Perakende \u015firketi bir promosyonun ger\u00e7ekle\u015fece\u011fini \u00f6nceden biliyorsa, stok t\u00fckenmesi olas\u0131l\u0131\u011f\u0131n\u0131 azaltmak i\u00e7in envanterini \u00f6nceden art\u0131rabilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 4: Trafik<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Trafik m\u00fchendisleri, fren lambas\u0131 ar\u0131zalar\u0131na ba\u011fl\u0131 olarak trafik s\u0131k\u0131\u015f\u0131kl\u0131\u011f\u0131 olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmek i\u00e7in ko\u015fullu olas\u0131l\u0131\u011f\u0131 kullan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin a\u015fa\u011f\u0131daki iki olas\u0131l\u0131\u011f\u0131n bilindi\u011fini varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P (fren lambas\u0131 ar\u0131zas\u0131) = 0,001<\/span><\/li>\n<li> <span style=\"color: #000000;\">P (trafik s\u0131k\u0131\u015f\u0131kl\u0131\u011f\u0131\u2229fren lambas\u0131 ar\u0131zas\u0131) = 0,0004<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir perakende \u015firketi, o g\u00fcn bir \u00fcr\u00fcn promosyonunun y\u00fcr\u00fct\u00fcld\u00fc\u011f\u00fc g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, belirli bir \u00fcr\u00fcn\u00fcn stokta kalmama olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in bu de\u011ferleri kullanabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P (trafik s\u0131k\u0131\u015f\u0131kl\u0131\u011f\u0131 | fren lambas\u0131 ar\u0131zas\u0131) = P (trafik s\u0131k\u0131\u015f\u0131kl\u0131\u011f\u0131\u2229 fren lambas\u0131 ar\u0131zas\u0131) \/ P (fren lambas\u0131 ar\u0131zas\u0131)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(trafik s\u0131k\u0131\u015f\u0131kl\u0131\u011f\u0131|fren lambas\u0131 ar\u0131zas\u0131) = 0,0004 \/ 0,001<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(trafik s\u0131k\u0131\u015f\u0131kl\u0131\u011f\u0131|fren lambas\u0131 ar\u0131zas\u0131) = 0,4<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Fren lambas\u0131 ar\u0131zas\u0131 oldu\u011fu <em>takdirde<\/em> trafik s\u0131k\u0131\u015f\u0131kl\u0131\u011f\u0131 ya\u015fanma ihtimali <strong>%0,4 veya %40&#8217;t\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Trafik m\u00fchendisleri, trafi\u011fi yeniden y\u00f6nlendirmek i\u00e7in farkl\u0131 bir rota tasarlamalar\u0131 gerekip gerekmedi\u011fine karar vermek i\u00e7in bu ko\u015fullu olas\u0131l\u0131\u011f\u0131 kullanabilirler; \u00e7\u00fcnk\u00fc trafik \u0131\u015f\u0131klar\u0131 ar\u0131zalan\u0131rsa trafik s\u0131k\u0131\u015f\u0131kl\u0131\u011f\u0131 meydana gelebilir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler olas\u0131l\u0131k hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/olasilik-ve-oranti\/\" target=\"_blank\" rel=\"noopener\">Olas\u0131l\u0131k ve Orant\u0131: Fark nedir?<\/a><br \/> Olas\u0131l\u0131k vs. olas\u0131l\u0131k: fark nedir?<br \/> <a href=\"https:\/\/statorials.org\/tr\/toplam-olasilik-yasasi\/\" target=\"_blank\" rel=\"noopener\">Toplam olas\u0131l\u0131k yasas\u0131: tan\u0131m ve \u00f6rnekler<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>B olay\u0131n\u0131n meydana geldi\u011fi dikkate al\u0131nd\u0131\u011f\u0131nda, A olay\u0131n\u0131n ger\u00e7ekle\u015fmesinin ko\u015fullu olas\u0131l\u0131\u011f\u0131 a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: P(A|B) = P(A\u2229B) \/ P(B) Alt\u0131n: P(A\u2229B) = A olay\u0131n\u0131n ve B olay\u0131n\u0131n her ikisinin de meydana gelme olas\u0131l\u0131\u011f\u0131. P(B) = B olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131. Ko\u015fullu olas\u0131l\u0131k, hava tahmini, spor bahisleri, sat\u0131\u015f tahmini ve daha fazlas\u0131 dahil olmak \u00fczere her [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-3138","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Ko\u015fullu olas\u0131l\u0131\u011f\u0131 ger\u00e7ek hayatta kullanman\u0131n 4 \u00f6rne\u011fi - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ko\u015fullu olas\u0131l\u0131\u011f\u0131n ger\u00e7ek d\u00fcnyadaki durumlarda nas\u0131l kullan\u0131ld\u0131\u011f\u0131na dair birka\u00e7 \u00f6rnek sunulmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/kosullu-olasilik-gercek-ornekleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ko\u015fullu olas\u0131l\u0131\u011f\u0131 ger\u00e7ek hayatta kullanman\u0131n 4 \u00f6rne\u011fi - 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