{"id":47,"date":"2023-08-06T03:56:48","date_gmt":"2023-08-06T03:56:48","guid":{"rendered":"https:\/\/statorials.org\/tr\/basit-olasilik\/"},"modified":"2023-08-06T03:56:48","modified_gmt":"2023-08-06T03:56:48","slug":"basit-olasilik","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/basit-olasilik\/","title":{"rendered":"Basit \u015fans"},"content":{"rendered":"<p>Bu yaz\u0131da basit olas\u0131l\u0131\u011f\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. Basit olas\u0131l\u0131k hesaplamas\u0131n\u0131n somut bir \u00f6rne\u011fini ve basit olas\u0131l\u0131k ile di\u011fer olas\u0131l\u0131k t\u00fcrleri aras\u0131ndaki farklar\u0131n neler oldu\u011funu g\u00f6rebileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-probabilidad-simple\"><\/span> Basit olas\u0131l\u0131k nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Basit olas\u0131l\u0131k,<\/strong> \u00f6rnek uzayda basit bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131d\u0131r.<\/p>\n<p> Basit olas\u0131l\u0131k 0 ile 1 aras\u0131nda bir de\u011ferdir. Yani belirli bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 ne kadar y\u00fcksekse, o olay\u0131n basit olas\u0131l\u0131\u011f\u0131 da o kadar y\u00fcksek olur. Tersine, bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 ne kadar d\u00fc\u015f\u00fckse, basit olas\u0131l\u0131\u011f\u0131 da o kadar d\u00fc\u015f\u00fck olacakt\u0131r.<\/p>\n<p> Basit olas\u0131l\u0131\u011fa marjinal olas\u0131l\u0131k da denir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-probabilidad-simple\"><\/span> Basit olas\u0131l\u0131k form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Basit olas\u0131l\u0131k form\u00fcl\u00fc,<\/strong> bir deneyin olumlu durumlar\u0131n\u0131n say\u0131s\u0131n\u0131n, deneyin olas\u0131 sonu\u00e7lar\u0131n\u0131n toplam say\u0131s\u0131na b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-47eefb1b0f197dfabcdb701b4858c3b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" P(A)=\\cfrac{\\text{n\\'umero de casos favorables al evento A}}{\\text{n\\'umero total de casos}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"372\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> Bu s\u00f6zde Laplace kural\u0131d\u0131r. Bu form\u00fcl\u00fcn yaln\u0131zca \u00f6rnek uzaydaki t\u00fcm olaylar\u0131n ayn\u0131 ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131na sahip olmas\u0131, yani e\u015f olas\u0131l\u0131kl\u0131 bir \u00f6rnek uzay olmas\u0131 durumunda kullan\u0131labilece\u011fini unutmay\u0131n. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-probabilidad-simple\"><\/span> Basit Olas\u0131l\u0131k \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Basit olas\u0131l\u0131\u011f\u0131n tan\u0131m\u0131n\u0131 g\u00f6rd\u00fckten sonra, bu t\u00fcr olas\u0131l\u0131\u011f\u0131n \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmas\u0131n\u0131 burada bulabilirsiniz.<\/p>\n<ul>\n<li> Bir kutuya 7 turuncu, 4 ye\u015fil ve 9 mavi top koyuyoruz. Kutudan turuncu bir top \u00e7ekmenin basit olas\u0131l\u0131\u011f\u0131 nedir?<\/li>\n<\/ul>\n<p> Bu durumda, \u00f6rnek uzaydaki t\u00fcm basit olaylar\u0131n olas\u0131l\u0131\u011f\u0131 e\u015fit oldu\u011fundan, olas\u0131l\u0131klar\u0131 hesaplamak i\u00e7in Laplace yasas\u0131n\u0131 uygulayabiliriz.<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-47eefb1b0f197dfabcdb701b4858c3b5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" P(A)=\\cfrac{\\text{n\\'umero de casos favorables al evento A}}{\\text{n\\'umero total de casos}}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"372\" style=\"vertical-align: -13px;\"><\/p>\n<\/p>\n<p> Kutuda yedi turuncu top var, dolay\u0131s\u0131yla etkinli\u011fe uygun 7 kasa var. Ancak kutuya farkl\u0131 renkteki ba\u015fka toplar\u0131 da koyar\u0131z, b\u00f6ylece toplam kutu say\u0131s\u0131 eklenen t\u00fcm toplar\u0131n toplam\u0131 olacakt\u0131r:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-65b37f74f5d745a06953d80102905368_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\" P(\\text{bola naranja})=\\cfrac{7}{7+4+9}=0,35\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"278\" style=\"vertical-align: -14px;\"><\/p>\n<\/p>\n<p> Bu nedenle kutudan rastgele turuncu bir top \u00e7ekme \u015fans\u0131 %35&#8217;tir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-simple-y-probabilidad-compuesta\"><\/span> Basit olas\u0131l\u0131k ve bile\u015fik olas\u0131l\u0131k<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Basit olas\u0131l\u0131k ile bile\u015fik olas\u0131l\u0131k aras\u0131ndaki fark<\/strong> , basit olas\u0131l\u0131\u011f\u0131n ana uzayda tek bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131 olmas\u0131d\u0131r, de\u011fi\u015fimde ise bile\u015fik olas\u0131l\u0131k (veya birle\u015fik olas\u0131l\u0131k), ba\u015far\u0131l\u0131 olan veya daha fazla olay\u0131n ayn\u0131 olma olas\u0131l\u0131\u011f\u0131n\u0131 ifade eder. zaman.<\/p>\n<p> \u00d6rne\u011fin \u00f6nceki b\u00f6l\u00fcmdeki al\u0131\u015ft\u0131rmada kutudan turuncu bir top \u00e7ekmenin basit olas\u0131l\u0131\u011f\u0131n\u0131 hesaplad\u0131k. Ayn\u0131 zamanda kutudan ayn\u0131 anda turuncu bir top ve mavi bir top alman\u0131n (ayn\u0131 anda iki top alma) bile\u015fik olas\u0131l\u0131\u011f\u0131n\u0131 da bulabiliriz.<\/p>\n<p> Ancak iki veya daha fazla olay\u0131n ortak olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak daha karma\u015f\u0131kt\u0131r \u00e7\u00fcnk\u00fc di\u011fer kavramlar\u0131n da dikkate al\u0131nmas\u0131 gerekir. Bunun nas\u0131l yap\u0131ld\u0131\u011f\u0131na ili\u015fkin tam a\u00e7\u0131klamay\u0131 burada g\u00f6rebilirsiniz: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/bilesik-olasilik\/\">ortak olas\u0131l\u0131k form\u00fcl\u00fc<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"probabilidad-simple-y-probabilidad-condicional\"><\/span> Basit olas\u0131l\u0131k ve ko\u015fullu olas\u0131l\u0131k<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Basit olas\u0131l\u0131k ile ko\u015fullu olas\u0131l\u0131k aras\u0131ndaki fark<\/strong> , basit olas\u0131l\u0131kta yaln\u0131zca olas\u0131l\u0131\u011f\u0131 hesaplanacak olay\u0131n dikkate al\u0131nmas\u0131, ko\u015fullu (veya ko\u015fullu) olas\u0131l\u0131kta ise \u00f6nceki olaylar\u0131n da incelenmesidir.<\/p>\n<p> Dolay\u0131s\u0131yla bir olay\u0131n ko\u015fullu olas\u0131l\u0131\u011f\u0131 daha \u00f6nce meydana gelen olaylara ba\u011fl\u0131d\u0131r. \u00d6rne\u011fin, bir \u0130spanyol destesinden kalp kart\u0131 \u00e7ekilme olas\u0131l\u0131\u011f\u0131, daha \u00f6nce bir kalp kart\u0131n\u0131n \u00e7ekilip \u00e7ekilmedi\u011fine veya ba\u015fka t\u00fcrde bir kart\u0131n \u00e7ekilip \u00e7ekilmedi\u011fine ba\u011fl\u0131 olarak daha y\u00fcksek veya daha d\u00fc\u015f\u00fck olacakt\u0131r.<\/p>\n<p> Bir olay\u0131n ko\u015fullu olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak olduk\u00e7a karma\u015f\u0131kt\u0131r \u00e7\u00fcnk\u00fc tan\u0131m\u0131n\u0131n da s\u00f6yledi\u011fi gibi, daha \u00f6nce meydana gelmi\u015f olaylar\u0131n dikkate al\u0131nmas\u0131 gerekir. Bu nedenle a\u015fa\u011f\u0131daki al\u0131\u015ft\u0131rmalar\u0131n ad\u0131m ad\u0131m \u00e7\u00f6z\u00fcld\u00fc\u011f\u00fcn\u00fc g\u00f6rmenizi \u00f6neririm: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/kosullu-kosullu-olasilik\/\">\u00e7\u00f6z\u00fcml\u00fc ko\u015fullu olas\u0131l\u0131k al\u0131\u015ft\u0131rmalar\u0131<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Bu yaz\u0131da basit olas\u0131l\u0131\u011f\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. Basit olas\u0131l\u0131k hesaplamas\u0131n\u0131n somut bir \u00f6rne\u011fini ve basit olas\u0131l\u0131k ile di\u011fer olas\u0131l\u0131k t\u00fcrleri aras\u0131ndaki farklar\u0131n neler oldu\u011funu g\u00f6rebileceksiniz. Basit olas\u0131l\u0131k nedir? Basit olas\u0131l\u0131k, \u00f6rnek uzayda basit bir olay\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131d\u0131r. Basit olas\u0131l\u0131k 0 ile 1 aras\u0131nda bir de\u011ferdir. Yani belirli bir olay\u0131n ger\u00e7ekle\u015fme olas\u0131l\u0131\u011f\u0131 [&hellip;]<\/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-47","post","type-post","status-publish","format-standard","hentry","category-olasilik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Basit olas\u0131l\u0131k: tan\u0131m, form\u00fcl ve \u00f6rnekler<\/title>\n<meta name=\"description\" content=\"Basit olas\u0131l\u0131\u011f\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) a\u00e7\u0131kl\u0131yoruz. 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