{"id":3679,"date":"2023-07-16T04:31:09","date_gmt":"2023-07-16T04:31:09","guid":{"rendered":"https:\/\/statorials.org\/tr\/en-az-bir-yazi-tura-atma-olasiligi\/"},"modified":"2023-07-16T04:31:09","modified_gmt":"2023-07-16T04:31:09","slug":"en-az-bir-yazi-tura-atma-olasiligi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/en-az-bir-yazi-tura-atma-olasiligi\/","title":{"rendered":"Yaz\u0131-tura at\u0131\u015flar\u0131nda en az bir tura gelme olas\u0131l\u0131\u011f\u0131 nas\u0131l bulunur?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Belirli bir yaz\u0131 tura at\u0131ld\u0131\u011f\u0131nda tura gelme olas\u0131l\u0131\u011f\u0131 1\/2 veya 0,5&#8217;tir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Belirli say\u0131da yaz\u0131-tura at\u0131ld\u0131\u011f\u0131nda en az bir tura gelme olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabilirsiniz:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>P(En az bir kafa) = 1 \u2013 0,5 <sup>n<\/sup><\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : Toplam geri d\u00f6n\u00fc\u015f say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin paray\u0131 2 kez att\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu 3 at\u0131\u015fta en az bir tura gelme olas\u0131l\u0131\u011f\u0131:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(En az bir kafa) = 1 \u2013 0,5 <sup>n<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(En az bir kafa) = 1 \u2013 0,5 <sup>3<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P (En az bir kafa) = 1 \u2013 0,125<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(En az bir kafa) = <strong>0,875<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu cevap, bir yaz\u0131 tura atman\u0131n t\u00fcm olas\u0131 sonu\u00e7lar\u0131n\u0131 &#8220;T&#8221; tura ve &#8220;H&#8221; yaz\u0131 temsil edecek \u015fekilde listelersek anlaml\u0131 olur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">TTT<\/span><\/li>\n<li> <span style=\"color: #000000;\">TTH<\/span><\/li>\n<li> <span style=\"color: #000000;\">THH<\/span><\/li>\n<li> <span style=\"color: #000000;\">THT<\/span><\/li>\n<li> <span style=\"color: #000000;\">HHHH<\/span><\/li>\n<li> <span style=\"color: #000000;\">VRD<\/span><\/li>\n<li> <span style=\"color: #000000;\">HTH<\/span><\/li>\n<li> <span style=\"color: #000000;\">HTT<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">8 olas\u0131 sonu\u00e7tan 7&#8217;sinde en az bir tura (H) g\u00f6r\u00fcnd\u00fc\u011f\u00fcne dikkat edin, bu da 7\/8 = <strong>0,875&#8217;e<\/strong> e\u015fittir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Veya bir yaz\u0131 tura 5 kez att\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu 5 at\u0131\u015fta en az bir tura gelme olas\u0131l\u0131\u011f\u0131:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(En az bir kafa) = 1 \u2013 0,5 <sup>n<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(En az bir kafa) = 1 \u2013 0,5 <sup>5<\/sup><\/span><\/li>\n<li> <span style=\"color: #000000;\">P(En az bir kafa) = 1 \u2013 0,25<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(En az bir kafa) = <strong>0,96875<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo, farkl\u0131 say\u0131daki yaz\u0131-tura at\u0131\u015flar\u0131nda en az bir tura gelme olas\u0131l\u0131\u011f\u0131n\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-30109 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tete1.jpg\" alt=\"\u00c7e\u015fitli yaz\u0131-tura at\u0131\u015flar\u0131nda en az\u0131ndan tura gelme olas\u0131l\u0131\u011f\u0131\" width=\"254\" height=\"341\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Yaz\u0131-tura say\u0131s\u0131 ne kadar y\u00fcksek olursa, en az bir tura gelme olas\u0131l\u0131\u011f\u0131n\u0131n da o kadar y\u00fcksek olaca\u011f\u0131n\u0131 unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yaz\u0131 tura birden \u00e7ok kez atmaya devam edersek, sonunda bir tura g\u00f6rme olas\u0131l\u0131\u011f\u0131m\u0131z\u0131n daha y\u00fcksek olmas\u0131 gerekti\u011fi g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, bu mant\u0131kl\u0131 olmal\u0131d\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde olas\u0131l\u0131k ile ilgili di\u011fer yayg\u0131n hesaplamalar\u0131n nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/en-az-bir-basari-olasiligi\/\" target=\"_blank\" rel=\"noopener\">\u201cEn az bir\u201d ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/en-az-iki-olasilik\/\" target=\"_blank\" rel=\"noopener\">&#8220;En az iki&#8221; ba\u015far\u0131 olas\u0131l\u0131\u011f\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/a-ve-b-olasiligi\/\" target=\"_blank\" rel=\"noopener\">A ve B&#8217;nin olas\u0131l\u0131\u011f\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/a-veya-b-olasiligi\/\" target=\"_blank\" rel=\"noopener\">A veya B olas\u0131l\u0131\u011f\u0131 nas\u0131l bulunur?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Belirli bir yaz\u0131 tura at\u0131ld\u0131\u011f\u0131nda tura gelme olas\u0131l\u0131\u011f\u0131 1\/2 veya 0,5&#8217;tir. Belirli say\u0131da yaz\u0131-tura at\u0131ld\u0131\u011f\u0131nda en az bir tura gelme olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabilirsiniz: P(En az bir kafa) = 1 \u2013 0,5 n Alt\u0131n: n : Toplam geri d\u00f6n\u00fc\u015f say\u0131s\u0131 \u00d6rne\u011fin paray\u0131 2 kez att\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m. Bu 3 at\u0131\u015fta en az bir tura [&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-3679","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>Yaz\u0131-tura at\u0131\u015flar\u0131nda en az bir tura gelme olas\u0131l\u0131\u011f\u0131 nas\u0131l bulunur?<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, belirli say\u0131da yaz\u0131-tura at\u0131\u015f\u0131nda en az bir tura gelme olas\u0131l\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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