{"id":2106,"date":"2023-07-23T16:13:31","date_gmt":"2023-07-23T16:13:31","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-kosullu-olasilik\/"},"modified":"2023-07-23T16:13:31","modified_gmt":"2023-07-23T16:13:31","slug":"pythonda-kosullu-olasilik","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-kosullu-olasilik\/","title":{"rendered":"Python&#39;da ko\u015fullu olas\u0131l\u0131k nas\u0131l hesaplan\u0131r?"},"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;\">P(A|B) = P(A\u2229B) \/ P(B)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u2229B) = <em>A<\/em> olay\u0131n\u0131n ve <em>B<\/em> olay\u0131n\u0131n her ikisinin de meydana gelme olas\u0131l\u0131\u011f\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(B) = B olay\u0131n\u0131n meydana gelme olas\u0131l\u0131\u011f\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, Python&#8217;da ko\u015fullu olas\u0131l\u0131klar\u0131 hesaplamak i\u00e7in bu form\u00fcl\u00fcn nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Python&#8217;da Ko\u015fullu Olas\u0131l\u0131\u011f\u0131 Hesaplama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki 300 ki\u015fiye hangi sporu tercih ettiklerini soran bir anket g\u00f6nderdik: beyzbol, basketbol, futbol veya futbol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Anket yan\u0131tlar\u0131n\u0131 tutmak i\u00e7in Python&#8217;da a\u015fa\u011f\u0131daki tabloyu olu\u015fturabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n<span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\n<span style=\"color: #008080;\">#create pandas DataFrame with raw data\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">gender<\/span> ': np. <span style=\"color: #3366ff;\">repeat<\/span> (np. <span style=\"color: #3366ff;\">array<\/span> (['Male', 'Female']), 150),\n                   ' <span style=\"color: #ff0000;\">sport<\/span> ': np. <span style=\"color: #3366ff;\">repeat<\/span> (np. <span style=\"color: #3366ff;\">array<\/span> (['Baseball', 'Basketball', 'Football',\n                                                'Soccer', 'Baseball', 'Basketball',\n                                                'Football', 'Soccer']), \n                                    (34, 40, 58, 18, 34, 52, 20, 44))})\n\n<span style=\"color: #008080;\">#produce contingency table to summarize raw data\n<\/span>survey_data = pd. <span style=\"color: #3366ff;\">crosstab<\/span> (index=df[' <span style=\"color: #ff0000;\">gender<\/span> '], columns=df[' <span style=\"color: #ff0000;\">sport<\/span> '], margins= <span style=\"color: #008000;\">True<\/span> )\n\n<span style=\"color: #008080;\">#view contingency table\n<\/span>survey_data\n\nsport Baseball Basketball Football Soccer All\ngender\t\t\t\t\t\nFemale 34 52 20 44 150\nMale 34 40 58 18 150\nAll 68 92 78 62 300<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>\u0130lgili<\/strong> : <a href=\"https:\/\/statorials.org\/tr\/python-acil-durum-tablosu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Acil Durum Tablolar\u0131 Olu\u015fturmak i\u00e7in pd.crosstab() Nas\u0131l Kullan\u0131l\u0131r<\/a><\/span><\/p>\n<p> <span style=\"color: #000000;\">Diziden de\u011ferleri \u00e7\u0131karmak i\u00e7in a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #008080;\">#extract value in second row and first column \n<\/span>survey_data. <span style=\"color: #3366ff;\">iloc<\/span> [1, 0]\n\n[1] 34\n<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bir bireyin en sevdi\u011fi spor olarak beyzbolu tercih etti\u011fi g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, erkek olma olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #008080;\">#calculate probability of being male, given that individual prefers baseball<\/span>\nsurvey_data. <span style=\"color: #3366ff;\">iloc<\/span> [1, 0]\/survey_data. <span style=\"color: #3366ff;\">iloc<\/span> [2, 0]\n\n0.5\n<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bir ki\u015finin kad\u0131n oldu\u011fu g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, en sevdi\u011fi spor olarak basketbolu tercih etme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki s\u00f6zdizimini kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #000000;\"><span style=\"color: #008080;\">#calculate probability of preferring basketball, given that individual is female<\/span>\nsurvey_data. <span style=\"color: #3366ff;\">iloc<\/span> [0,1]\/survey_data. <span style=\"color: #3366ff;\">iloc<\/span> [0, 4]\n\n0.3466666666666667\n<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu temel yakla\u015f\u0131m\u0131, beklenmedik durum tablosundan istedi\u011fimiz herhangi bir ko\u015fullu olas\u0131l\u0131\u011f\u0131 hesaplamak i\u00e7in kullanabiliriz.<\/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 y\u00f6netimi hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/toplam-olasilik-yasasi\/\" target=\"_blank\" rel=\"noopener\">Toplam olas\u0131l\u0131k yasas\u0131<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/olasilik-dagiliminin-ortalamasi\/\" target=\"_blank\" rel=\"noopener\">Olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n ortalamas\u0131 nas\u0131l bulunur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/olasilik-dagiliminin-standart-sapmasi\/\" target=\"_blank\" rel=\"noopener\">Olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131n standart sapmas\u0131 nas\u0131l bulunur?<\/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. A\u015fa\u011f\u0131daki \u00f6rnek, Python&#8217;da ko\u015fullu olas\u0131l\u0131klar\u0131 hesaplamak i\u00e7in bu form\u00fcl\u00fcn nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir. \u00d6rnek: Python&#8217;da Ko\u015fullu [&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-2106","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>Python&#039;da Ko\u015fullu Olas\u0131l\u0131k Nas\u0131l Hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da ko\u015fullu olas\u0131l\u0131\u011f\u0131n nas\u0131l hesaplanaca\u011f\u0131 birka\u00e7 \u00f6rnekle 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\/pythonda-kosullu-olasilik\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da Ko\u015fullu Olas\u0131l\u0131k Nas\u0131l Hesaplan\u0131r - 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