{"id":2174,"date":"2023-07-23T09:37:55","date_gmt":"2023-07-23T09:37:55","guid":{"rendered":"https:\/\/statorials.org\/tr\/olasilik-ve-oranti\/"},"modified":"2023-07-23T09:37:55","modified_gmt":"2023-07-23T09:37:55","slug":"olasilik-ve-oranti","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/olasilik-ve-oranti\/","title":{"rendered":"Olas\u0131l\u0131k vs. orant\u0131: fark nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim <strong>olas\u0131l\u0131k<\/strong> ve <strong>orant\u0131d\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130\u015fte fark:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Olas\u0131l\u0131k<\/strong> bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 temsil eder. <em>Teorik<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Oran,<\/strong> bir olay\u0131n ger\u00e7ekte ne s\u0131kl\u0131kta meydana geldi\u011fini \u00f6zetler. Bu <em>deneyseldir<\/em> .<\/span> <\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-20089\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/probleme1.png\" alt=\"Olas\u0131l\u0131k vs. Oran\" width=\"323\" height=\"172\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Gelecekte bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 hakk\u0131nda konu\u015fmak i\u00e7in s\u0131kl\u0131kla olas\u0131l\u0131\u011f\u0131 kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunun aksine, bir olay\u0131n ge\u00e7mi\u015fte ger\u00e7ekte ne s\u0131kl\u0131kta ger\u00e7ekle\u015fti\u011fini tan\u0131mlamak i\u00e7in s\u0131kl\u0131kla orant\u0131y\u0131 kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler farkl\u0131 senaryolardaki olas\u0131l\u0131klar ve oranlar aras\u0131ndaki farklar\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Yaz\u0131-tura atmada olas\u0131l\u0131k ve orant\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Adil bir para atarsak tura gelme <strong>olas\u0131l\u0131\u011f\u0131<\/strong> %0,5 veya <strong>%50&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak paray\u0131 20 kez atarsak, asl\u0131nda <strong>ka\u00e7<\/strong> kez tura geldi\u011fini sayabiliriz. \u00d6rne\u011fin, at\u0131\u015flar\u0131n\u0131n <strong>%60&#8217;\u0131nda<\/strong> tura gelmi\u015f olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Paran\u0131n tura gelme olas\u0131l\u0131\u011f\u0131 teoriktir, ancak paran\u0131n tura gelme oran\u0131 ampiriktir; asl\u0131nda bu oran\u0131 sayabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2:<\/strong><\/span> <span style=\"color: #000000;\"><strong>Zar Atmada Olas\u0131l\u0131\u011fa Kar\u015f\u0131 Oran<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Alt\u0131 y\u00fczl\u00fc bir zar att\u0131\u011f\u0131n\u0131zda, \u201c4\u201d rakam\u0131n\u0131n \u00fczerine gelme <strong>olas\u0131l\u0131\u011f\u0131<\/strong> 1\/6 yani yakla\u015f\u0131k <strong>%16,67&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak zar\u0131 10 kez atarsak, o zaman zar\u0131n 4&#8217;e gelme <strong>oran\u0131n\u0131<\/strong> sayabiliriz. \u00d6rne\u011fin, at\u0131\u015flar\u0131n <strong>%20&#8217;sinde<\/strong> &#8220;4&#8221;e d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc s\u00f6yleyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">&#8220;4&#8221; gelme olas\u0131l\u0131\u011f\u0131 teoriktir, ancak zar\u0131n &#8220;4&#8221;e gelme oran\u0131 ampiriktir; asl\u0131nda bu oran\u0131 sayabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 3:<\/strong><\/span> <span style=\"color: #000000;\"><strong>Olas\u0131l\u0131k vs. \u0130plik\u00e7ilerdeki Oran<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">D\u00f6rt e\u015fit par\u00e7aya (k\u0131rm\u0131z\u0131, mavi, ye\u015fil ve mor) b\u00f6l\u00fcnm\u00fc\u015f bir rulet \u00e7ark\u0131n\u0131 d\u00f6nd\u00fcr\u00fcrsek, herhangi bir d\u00f6n\u00fc\u015fte \u00e7ark\u0131n mora gelme <strong>olas\u0131l\u0131\u011f\u0131<\/strong> <strong>%25&#8217;tir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak rulet \u00e7ark\u0131n\u0131 100 kez d\u00f6nd\u00fcr\u00fcrsek, mora <strong>ka\u00e7<\/strong> kez d\u00fc\u015ft\u00fc\u011f\u00fcn\u00fc sayabiliriz. \u00d6rne\u011fin, belki de d\u00f6n\u00fc\u015flerin <strong>%15&#8217;i<\/strong> i\u00e7in mora inmi\u015ftir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Rulet \u00e7ark\u0131n\u0131n mor \u00fczerine gelme olas\u0131l\u0131\u011f\u0131 teoriktir, ancak mor \u00fczerine d\u00fc\u015fme oran\u0131 ampiriktir; asl\u0131nda bu oran\u0131 sayabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 4:<\/strong><\/span> <span style=\"color: #000000;\"><strong>Kart Oyunlar\u0131nda Olas\u0131l\u0131\u011fa Kar\u015f\u0131 Orant\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">52 kartl\u0131k standart bir destede 4 Krali\u00e7e vard\u0131r. Yani bir \u00e7ekili\u015fte vezir se\u00e7me <strong>olas\u0131l\u0131\u011f\u0131<\/strong> 4\/52 = <strong>%7,69&#8217;dur<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak rastgele 50 kez \u00e7ekersek (ve \u00e7ekti\u011fimiz kart\u0131 yerine koyarsak), asl\u0131nda ka\u00e7 kez vezir \u00e7ekti\u011fimizi <strong>sayabiliriz<\/strong> . \u00d6rne\u011fin, \u00e7ekili\u015flerin <strong>%10&#8217;unda<\/strong> belki bir Vezir \u00e7ekeriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir krali\u00e7eyi se\u00e7me olas\u0131l\u0131\u011f\u0131 teoriktir, ancak ger\u00e7ekte bir krali\u00e7eyi se\u00e7ti\u011fimiz zamanlar\u0131n oran\u0131 ampiriktir; asl\u0131nda bu oran\u0131 sayabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> 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>\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim olas\u0131l\u0131k ve orant\u0131d\u0131r . \u0130\u015fte fark: Olas\u0131l\u0131k bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131n\u0131 temsil eder. Teorik . Oran, bir olay\u0131n ger\u00e7ekte ne s\u0131kl\u0131kta meydana geldi\u011fini \u00f6zetler. Bu deneyseldir . Gelecekte bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 hakk\u0131nda konu\u015fmak i\u00e7in s\u0131kl\u0131kla olas\u0131l\u0131\u011f\u0131 kullan\u0131r\u0131z. Bunun aksine, bir olay\u0131n ge\u00e7mi\u015fte ger\u00e7ekte ne s\u0131kl\u0131kta ger\u00e7ekle\u015fti\u011fini tan\u0131mlamak i\u00e7in [&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-2174","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>Olas\u0131l\u0131k vs. orant\u0131: fark nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, resmi bir tan\u0131m ve \u00e7e\u015fitli \u00f6rnekler de dahil olmak \u00fczere olas\u0131l\u0131k ve orant\u0131 aras\u0131ndaki fark a\u00e7\u0131klanmaktad\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\/olasilik-ve-oranti\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Olas\u0131l\u0131k vs. orant\u0131: fark nedir? 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