{"id":9534,"date":"2021-11-05T16:46:31","date_gmt":"2021-11-05T09:46:31","guid":{"rendered":"https:\/\/binus.ac.id\/malang\/?p=9534"},"modified":"2021-11-05T16:46:31","modified_gmt":"2021-11-05T09:46:31","slug":"probabilitas-dan-teori-himpunan","status":"publish","type":"post","link":"https:\/\/binus.ac.id\/malang\/2021\/11\/probabilitas-dan-teori-himpunan\/","title":{"rendered":"Probabilitas dan Teori Himpunan"},"content":{"rendered":"<p style=\"text-align: justify\">Ilmu statistika muncul karena adanya aktivitas. Aktivitas dalam statistika disebut percobaan. Percobaan pada dasarnya ada 2 yaitu: percobaan deterministik dan percobaan random. Berdasarkan percobaan random akan muncul konsep ruang sampel, <em>event<\/em>, dan probabilitas.<\/p>\n<p style=\"text-align: center\"><strong><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-9535\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2021\/11\/Picture17.1-640x415.png\" alt=\"\" width=\"640\" height=\"415\" srcset=\"https:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2021\/11\/Picture17.1-640x415.png 640w, https:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2021\/11\/Picture17.1-1536x997.png 1536w, https:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2021\/11\/Picture17.1.png 1200w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/>Gambar 1. <\/strong>Pentingnya Konsep Dasar Probabilitas<\/p>\n<p style=\"text-align: justify\">Salah satu alat yang sangat terkenal dalam Matematika Modern adalah teori himpunan. Konsep teori himpunan dan penggunaannya dalam Matematika di mulai oleh Cantor, Frege, Russel dan yang lain. Menurut Cantor, Himpunan merupakan kumpulan obyek-obyek yang keanggotaaannya terdefinisikan dengan jelas. Himpunan dapat dinotasikan sebagai berikut.<\/p>\n<p style=\"text-align: center\"><em>X = {xQ(x)}<\/em><\/p>\n<p style=\"text-align: justify\">Notasi ini mempunyai makna bahwa himpunan semua obyek <em>x<\/em> sehingga pernyataan <em>Q(x)<\/em> bernilai benar. Suatu himpunan yang tidak mempunyai anggota ditulis dengan lambang <em>f<\/em> disebut himpunan kosong atau himpunan <em>Null<\/em>. Himpunan kosong mempunyai sifat :<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone  wp-image-9536\" src=\"http:\/\/binus.ac.id\/malang\/wp-content\/uploads\/2021\/11\/WINWORD_XdPV8yWTMd.png\" alt=\"\" width=\"245\" height=\"26\" \/><\/p>\n<p style=\"text-align: justify\">Ada beberapa tipe himpunan:<\/p>\n<ul style=\"text-align: justify\">\n<li><em>Finite<\/em>: A = {\u03c9<sub>1<\/sub>, \u03c9<sub>2<\/sub>, . . . , \u03c9<sub>7<\/sub>}, misal himpunan bilangan asli dari 1 sampai 50<\/li>\n<li><em>Countably infinite<\/em>: A = {\u03c9<sub>1<\/sub>, \u03c9<sub>2<\/sub>, . . . }, misal, himpunan bilangan bulat<\/li>\n<li><em>Uncountable<\/em>: misal himpunan bilangan riil antara 0 dan 1<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Ilmu statistika muncul karena adanya aktivitas. Aktivitas dalam statistika disebut percobaan. Percobaan pada dasarnya ada 2 yaitu: percobaan deterministik dan percobaan random. Berdasarkan percobaan random akan muncul konsep ruang sampel, event, dan probabilitas. Gambar 1. Pentingnya Konsep Dasar Probabilitas Salah satu alat yang sangat terkenal dalam Matematika Modern adalah teori himpunan. Konsep teori himpunan dan [&hellip;]<\/p>\n","protected":false},"author":19,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[128],"tags":[],"class_list":["post-9534","post","type-post","status-publish","format-standard","hentry","category-computer-science"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v23.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Probabilitas dan Teori Himpunan | BINUS UNIVERSITY MALANG | Pilihan Universitas Terbaik di Malang<\/title>\n<meta name=\"description\" content=\"BINUS University Malang Merupakan Universitas Terbaik di Malang dengan Program Computer Science, Entrepreneurship Bussiness Creation, Computer Science, Interior Design, Communication, Public Relations, Visual Communication Design.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link 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