{"id":381,"date":"2023-08-01T11:17:03","date_gmt":"2023-08-01T11:17:03","guid":{"rendered":"https:\/\/statorials.org\/id\/hukum-probabilitas\/"},"modified":"2023-08-01T11:17:03","modified_gmt":"2023-08-01T11:17:03","slug":"hukum-probabilitas","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/hukum-probabilitas\/","title":{"rendered":"Hukum probabilitas"},"content":{"rendered":"<p>Pada artikel ini kami menjelaskan apa itu hukum probabilitas. Jadi, di sini Anda akan menemukan hukum utama probabilitas serta contoh nyata dari masing-masing hukum untuk memahami arti setiap hukum. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-leyes-de-la-probabilidad\"><\/span> Apa hukum probabilitas?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Hukum utama probabilitas<\/strong> adalah:<\/p>\n<ul>\n<li> <strong>menyelesaikan hukumnya<\/strong><\/li>\n<li> <strong>hukum Laplace<\/strong><\/li>\n<li> <strong>hukum penjumlahan<\/strong><\/li>\n<li> <strong>hukum perkalian<\/strong><\/li>\n<\/ul>\n<p> Di bawah ini Anda dapat melihat penjelasan masing-masing hukum probabilitas serta contoh konkritnya.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ley-del-complemento\"><\/span> menyelesaikan hukumnya<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Hukum komplemen memungkinkan kita menghitung probabilitas suatu kejadian yang bertolak belakang dengan kejadian lain jika kita mengetahui probabilitas salah satu kejadian tersebut. Lebih khusus lagi, hukum komplemen menyatakan bahwa peluang suatu kejadian sama dengan satu dikurangi peluang kejadian sebaliknya.<\/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-e0d62ccd1f8f95072d222f71dc749d90_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P\\bigl(A\\bigr)=1-P\\bigl(\\overline{A}\\bigr)\" title=\"Rendered by QuickLaTeX.com\" height=\"22\" width=\"139\" style=\"vertical-align: -7px;\"><\/p>\n<\/p>\n<p> Misalnya, peluang munculnya angka 5 adalah 0,167, karena kita dapat menentukan peluang munculnya angka lain menggunakan hukum komplemen: <\/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-e788117c866c89ae91541e23b4f3c548_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(5)=0,167\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"104\" style=\"vertical-align: -5px;\"><\/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-e3524f2e9cc4c5e46291f12f8eb9cfe6_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(1, 2, 3, 4, 6)=1-P(5)=1-0,167=0,833\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"359\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ley-de-laplace\"><\/span> hukum Laplace<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Hukum Laplace<\/strong> adalah hukum probabilistik yang digunakan untuk menghitung peluang terjadinya suatu peristiwa dalam ruang sampel.<\/p>\n<p> Lebih khusus lagi, hukum Laplace menyatakan bahwa probabilitas terjadinya suatu peristiwa sama dengan jumlah kasus yang menguntungkan dibagi dengan jumlah kasus yang mungkin terjadi. Oleh karena itu, rumus hukum Laplace adalah sebagai berikut:<\/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-d3b5a3fd8897ec1933cfc654566b84dc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A)=\\cfrac{\\text{casos favorables}}{\\text{casos posibles}}\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"190\" style=\"vertical-align: -16px;\"><\/p>\n<\/p>\n<p> Misalnya, jika kita memasukkan 5 bola hijau, 4 bola biru, dan 2 bola kuning ke dalam sebuah kantong, kita dapat mencari peluang terambilnya bola hijau secara acak menggunakan hukum Laplace: <\/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-68f6b4223a63448cf4e89485ee0ca28e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(\\text{bola verde})=\\cfrac{5}{5+4+2}=0,45\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"261\" style=\"vertical-align: -14px;\"><\/p>\n<\/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>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/aturan-laplace-atau-hukum-laplace\/\">hukum Laplace<\/a><\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ley-de-la-suma\"><\/span> hukum penjumlahan<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> Dalam teori probabilitas, <strong>hukum penjumlahan<\/strong> (atau hukum penjumlahan) menyatakan bahwa jumlah peluang dua kejadian sama dengan jumlah peluang setiap kejadian terjadi secara terpisah dikurangi peluang terjadinya kedua kejadian pada waktu yang sama.<\/p>\n<p> Jadi rumus hukum penjumlahan adalah sebagai berikut:<\/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-be7c6347c0f331eeb6540ac9e15081dd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cup B)=P(A)+P(B)-P(A\\cap B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"299\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Latihan langkah demi langkah penerapan hukum penjumlahan yang dapat Anda lihat pada tautan berikut: <\/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>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\">Hukum penjumlahan (probabilitas)<\/a> <\/div>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ley-de-la-multiplicacion\"><\/span> hukum perkalian<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>Hukum perkalian (atau hukum perkalian)<\/strong> menyatakan bahwa peluang gabungan terjadinya dua peristiwa independen sama dengan hasil kali peluang terjadinya masing-masing peristiwa.<\/p>\n<p> Maka rumus hukum perkalian adalah sebagai berikut:<\/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-593a1a131cab23d805d8324e21e6b4ba_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P(A\\cap B)=P(A)\\cdot P(B)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"193\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Namun rumus hukum perkalian berbeda-beda tergantung pada apakah kejadiannya bebas atau bergantung. Apa rumus aturan perkalian kejadian tak bebas dan contoh penerapan hukum ini dapat Anda lihat dengan klik di sini: <\/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>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/aturan-perkalian\/\">Hukum perkalian (probabilitas)<\/a><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otras-leyes-de-la-probabilidad\"><\/span> Hukum probabilitas lainnya<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Terakhir, kami meninggalkan Anda tautan ke beberapa artikel tentang hukum probabilitas tertentu yang memungkinkan Anda menghitung probabilitas variabel yang mengikuti <a href=\"https:\/\/statorials.org\/id\/distribusi-probabilitas-1\/\">distribusi probabilitas<\/a> tertentu :<\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/id\/distribusi-binomial-1\/\">hukum binomial<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/id\/distribusi-multinomial-1\/\">hukum multinomial<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/id\/hukum-ikan\/\">hukum Poisson<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/id\/distribusi-hipergeometri-1\/\">hukum hipergeometri<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/id\/distribusi-normal\/\">hukum biasa<\/a> <\/li>\n<\/ul>\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>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/jenis-variabel-statistik\/\">Jenis variabel statistik<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Pada artikel ini kami menjelaskan apa itu hukum probabilitas. Jadi, di sini Anda akan menemukan hukum utama probabilitas serta contoh nyata dari masing-masing hukum untuk memahami arti setiap hukum. Apa hukum probabilitas? Hukum utama probabilitas adalah: menyelesaikan hukumnya hukum Laplace hukum penjumlahan hukum perkalian Di bawah ini Anda dapat melihat penjelasan masing-masing hukum probabilitas serta [&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":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Hukum probabilitas<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan menemukan hukum-hukum utama probabilitas serta contoh nyata dari setiap hukum probabilitas.\" \/>\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\/id\/hukum-probabilitas\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Hukum probabilitas\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan hukum-hukum utama probabilitas serta contoh nyata dari setiap hukum probabilitas.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/hukum-probabilitas\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-01T11:17:03+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e0d62ccd1f8f95072d222f71dc749d90_l3.png\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/hukum-probabilitas\/\",\"url\":\"https:\/\/statorials.org\/id\/hukum-probabilitas\/\",\"name\":\"\u25b7 Hukum probabilitas\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-01T11:17:03+00:00\",\"dateModified\":\"2023-08-01T11:17:03+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan menemukan hukum-hukum utama probabilitas serta contoh nyata dari setiap hukum probabilitas.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/hukum-probabilitas\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/hukum-probabilitas\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/hukum-probabilitas\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Hukum probabilitas\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya\",\"sameAs\":[\"http:\/\/statorials.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Hukum probabilitas","description":"Di sini Anda akan menemukan hukum-hukum utama probabilitas serta contoh nyata dari setiap hukum probabilitas.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/id\/hukum-probabilitas\/","og_locale":"id_ID","og_type":"article","og_title":"\u25b7 Hukum probabilitas","og_description":"Di sini Anda akan menemukan hukum-hukum utama probabilitas serta contoh nyata dari setiap hukum probabilitas.","og_url":"https:\/\/statorials.org\/id\/hukum-probabilitas\/","og_site_name":"Statorials","article_published_time":"2023-08-01T11:17:03+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-e0d62ccd1f8f95072d222f71dc749d90_l3.png"}],"author":"Benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Benjamin anderson","Estimasi waktu membaca":"2 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/id\/hukum-probabilitas\/","url":"https:\/\/statorials.org\/id\/hukum-probabilitas\/","name":"\u25b7 Hukum probabilitas","isPartOf":{"@id":"https:\/\/statorials.org\/id\/#website"},"datePublished":"2023-08-01T11:17:03+00:00","dateModified":"2023-08-01T11:17:03+00:00","author":{"@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81"},"description":"Di sini Anda akan menemukan hukum-hukum utama probabilitas serta contoh nyata dari setiap hukum probabilitas.","breadcrumb":{"@id":"https:\/\/statorials.org\/id\/hukum-probabilitas\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/id\/hukum-probabilitas\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/id\/hukum-probabilitas\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/statorials.org\/id\/"},{"@type":"ListItem","position":2,"name":"Hukum probabilitas"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/id\/#website","url":"https:\/\/statorials.org\/id\/","name":"Statorials","description":"Panduan anda untuk kompetensi statistik!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/id\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"id"},{"@type":"Person","@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81","name":"Benjamin anderson","image":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/","url":"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Benjamin anderson"},"description":"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya","sameAs":["http:\/\/statorials.org\/id"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/381"}],"collection":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/comments?post=381"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/381\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/media?parent=381"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/categories?post=381"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/tags?post=381"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}