{"id":2104,"date":"2023-07-23T16:13:31","date_gmt":"2023-07-23T16:13:31","guid":{"rendered":"https:\/\/statorials.org\/pl\/prawdopodobienstwo-warunkowe-w-pythonie\/"},"modified":"2023-07-23T16:13:31","modified_gmt":"2023-07-23T16:13:31","slug":"prawdopodobienstwo-warunkowe-w-pythonie","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/prawdopodobienstwo-warunkowe-w-pythonie\/","title":{"rendered":"Jak obliczy\u0107 prawdopodobie\u0144stwo warunkowe w pythonie"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Prawdopodobie\u0144stwo warunkowe<\/strong> zaj\u015bcia zdarzenia <em>A<\/em> , przy za\u0142o\u017ceniu, \u017ce zasz\u0142o zdarzenie <em>B<\/em> , oblicza si\u0119 w nast\u0119puj\u0105cy spos\u00f3b:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A|B) = P(A\u2229B) \/ P(B)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Z\u0142oto:<\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A\u2229B) = prawdopodobie\u0144stwo wyst\u0105pienia zar\u00f3wno zdarzenia <em>A<\/em> , jak i zdarzenia <em>B.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">P(B) = prawdopodobie\u0144stwo wyst\u0105pienia zdarzenia B.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje, jak u\u017cywa\u0107 tej formu\u0142y do obliczania prawdopodobie\u0144stw warunkowych w j\u0119zyku Python.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: Oblicz prawdopodobie\u0144stwo warunkowe w Pythonie<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce wysy\u0142amy ankiet\u0119 do 300 os\u00f3b z pytaniem, jaki sport preferuj\u0105: baseball, koszyk\u00f3wk\u0119, pi\u0142k\u0119 no\u017cn\u0105 czy pi\u0142k\u0119 no\u017cn\u0105.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mo\u017cemy utworzy\u0107 w Pythonie nast\u0119puj\u0105c\u0105 tabel\u0119 do przechowywania odpowiedzi na ankiet\u0119:<\/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>Powi\u0105zane<\/strong> : <a href=\"https:\/\/statorials.org\/pl\/tabela-kontyngencji-pythona\/\" target=\"_blank\" rel=\"noopener\">Jak u\u017cywa\u0107 pd.crosstab() do tworzenia tabel awaryjnych w Pythonie<\/a><\/span><\/p>\n<p> <span style=\"color: #000000;\">Aby wyodr\u0119bni\u0107 warto\u015bci z tablicy, mo\u017cemy zastosowa\u0107 nast\u0119puj\u0105c\u0105 sk\u0142adni\u0119:<\/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;\">Mo\u017cemy u\u017cy\u0107 nast\u0119puj\u0105cej sk\u0142adni, aby obliczy\u0107 prawdopodobie\u0144stwo, \u017ce dana osoba jest m\u0119\u017cczyzn\u0105, zak\u0142adaj\u0105c, \u017ce preferuje baseball jako sw\u00f3j ulubiony sport:<\/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;\">Mo\u017cemy u\u017cy\u0107 nast\u0119puj\u0105cej sk\u0142adni, aby obliczy\u0107 prawdopodobie\u0144stwo, \u017ce dana osoba woli koszyk\u00f3wk\u0119 jako sw\u00f3j ulubiony sport, bior\u0105c pod uwag\u0119, \u017ce jest kobiet\u0105:<\/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;\">Mo\u017cemy zastosowa\u0107 to podstawowe podej\u015bcie do obliczenia dowolnego prawdopodobie\u0144stwa warunkowego z tabeli kontyngencji.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki zawieraj\u0105 dodatkowe informacje na temat zarz\u0105dzania prawdopodobie\u0144stwem:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/prawo-ca\u0142kowitego-prawdopodobienstwa\/\" target=\"_blank\" rel=\"noopener\">Prawo ca\u0142kowitego prawdopodobie\u0144stwa<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/srednia-rozk\u0142adu-prawdopodobienstwa\/\" target=\"_blank\" rel=\"noopener\">Jak znale\u017a\u0107 \u015bredni\u0105 rozk\u0142adu prawdopodobie\u0144stwa<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/odchylenie-standardowe-rozk\u0142adu-prawdopodobienstwa\/\" target=\"_blank\" rel=\"noopener\">Jak znale\u017a\u0107 odchylenie standardowe rozk\u0142adu prawdopodobie\u0144stwa<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Prawdopodobie\u0144stwo warunkowe zaj\u015bcia zdarzenia A , przy za\u0142o\u017ceniu, \u017ce zasz\u0142o zdarzenie B , oblicza si\u0119 w nast\u0119puj\u0105cy spos\u00f3b: P(A|B) = P(A\u2229B) \/ P(B) Z\u0142oto: P(A\u2229B) = prawdopodobie\u0144stwo wyst\u0105pienia zar\u00f3wno zdarzenia A , jak i zdarzenia B. P(B) = prawdopodobie\u0144stwo wyst\u0105pienia zdarzenia B. Poni\u017cszy przyk\u0142ad pokazuje, jak u\u017cywa\u0107 tej formu\u0142y do obliczania prawdopodobie\u0144stw warunkowych w j\u0119zyku [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-2104","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak obliczy\u0107 prawdopodobie\u0144stwo warunkowe w Pythonie - Statologia<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 prawdopodobie\u0144stwo warunkowe w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\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\/pl\/prawdopodobienstwo-warunkowe-w-pythonie\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak obliczy\u0107 prawdopodobie\u0144stwo warunkowe w Pythonie - Statologia\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 prawdopodobie\u0144stwo warunkowe w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/prawdopodobienstwo-warunkowe-w-pythonie\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-23T16:13:31+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/prawdopodobienstwo-warunkowe-w-pythonie\/\",\"url\":\"https:\/\/statorials.org\/pl\/prawdopodobienstwo-warunkowe-w-pythonie\/\",\"name\":\"Jak obliczy\u0107 prawdopodobie\u0144stwo warunkowe w Pythonie - Statologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-23T16:13:31+00:00\",\"dateModified\":\"2023-07-23T16:13:31+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 prawdopodobie\u0144stwo warunkowe w Pythonie, podaj\u0105c kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/prawdopodobienstwo-warunkowe-w-pythonie\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/prawdopodobienstwo-warunkowe-w-pythonie\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/prawdopodobienstwo-warunkowe-w-pythonie\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak obliczy\u0107 prawdopodobie\u0144stwo warunkowe w pythonie\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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