{"id":9454,"date":"2018-07-25T06:33:09","date_gmt":"2018-07-24T23:33:09","guid":{"rendered":"https:\/\/example.com\/?p=9454"},"modified":"2023-12-19T08:36:21","modified_gmt":"2023-12-19T01:36:21","slug":"teori-peluang-kejadian-majemuk-bagian-2","status":"publish","type":"post","link":"https:\/\/www.ruangguru.com\/blog\/teori-peluang-kejadian-majemuk-bagian-2","title":{"rendered":"Teori Peluang Kejadian Majemuk (bagian 2) | Matematika Kelas 12"},"content":{"rendered":"<p style=\"text-align: center;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_12.jpg\" alt=\"Matematika_12.jpg\" height=\"411\" width=\"821\"><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000000;\">RG Squad, sebelumnya kalian telah belajar<\/span> <a href=\"https:\/\/blog.ruangguru.com\/teori-peluang-kejadian-majemuk-bagian-1\"><strong>teori peluang&nbsp;kejadian majemuk bagian 1<\/strong><\/a><span style=\"color: #000000;\"> <em>&nbsp;<\/em>mengenai dua kejadian sembarang, komplemen suatu kejadian, dan dua kejadian saling lepas. <em>Nah<\/em>, di artikel kali ini akan melanjutkan pembahasan tersebut dengan penambahan penjelasan tentang dua kejadian saling bebas dan dua kejadian bersyarat.<\/span><\/p>\n<p style=\"text-align: justify;\"><!--more--><\/p>\n<p style=\"text-align: justify;\"><strong style=\"background-color: transparent;\">1. Dua Kejadian Saling Bebas<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Kejadian A dan B dikatakan saling bebas jika kejadian A tidak mempengaruhi kejadian B dan kejadian B tidak mempengaruhi kejadian A. Dirumuskan:<\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"color: #000080;\"><strong>P (A \u2229 B) = P (A) X P (B)<\/strong><\/span><\/p>\n<p style=\"text-align: justify;\"><strong>Contoh:<\/strong><\/p>\n<p style=\"text-align: justify;\">Jika peluang Andi dapat menyelesaikan suatu soal adalah 0,4 dan peluang Budi dapat menyelesaikan soal yang sama adalah 0,3 maka peluang mereka berdua dapat menyelesaikan soal tersebut adalah \u2026<\/p>\n<p style=\"text-align: justify;\">Jawab :<\/p>\n<p style=\"text-align: justify;\">P(A) = 0,4<\/p>\n<p style=\"text-align: justify;\">P(B) = 0,3<\/p>\n<p style=\"text-align: justify;\">Peluang Andi dan Budi dapat menyelesaikan soal:<\/p>\n<div style=\"text-align: justify;\"><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/hH-nQ_8eSX5GuRCdHFSlQ7m7mtZNSiFUV_45ooad7AHXg8Y7w4cM5t9QaMGTcOLwu1jkfKJ4G-6Tx0PwGQvq0yqJNVkXGu88pkEAAuNQLdmCH0Uei7reB801KhWNbBDp7eejWYb89ct2pteHMQ\" alt=\"capture\" style=\"width: 403px;\" title=\"capture\" caption=\"false\" data-constrained=\"true\" width=\"403\"><\/div>\n<ul>\n<li>Dua Kejadian Bersyarat<\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Jika kejadian A dan B tidak saling bebas, kejadian B dipengaruhi oleh kejadian A atau kejadian B dengan syarat A, dirumuskan: <\/span><\/p>\n<p style=\"text-align: justify;\">&nbsp;<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Capture-56.png\" alt=\"Capture-56.png\" height=\"77\" width=\"539\"><\/p>\n<p><span style=\"font-weight: 400;\">Contoh:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Sebuah dadu dilempar sekali. Tentukan peluang munculnya mata dadu ganjil dengan syarat munculnya kejadian mata dadu prima lebih dahulu.<\/span><\/p>\n<p><strong>Jawab:<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">S = {1, 2, 3, 4, 5, 6}, n(S) = 6<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A = Kejadian munculnya angka prima<\/span><\/p>\n<p><span style=\"font-weight: 400;\">A = {2, 3, 5}, n(A) = 3<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Capture-57.png\" alt=\"Capture-57.png\" height=\"72\" width=\"196\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">B = Kejadian muncul mata dadu ganjil<\/span><\/p>\n<p><span style=\"font-weight: 400;\">B = {1, 3, 5}<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Capture-58.png\" alt=\"Capture-58.png\" height=\"72\" width=\"196\"><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Peluang munculnya mata dadu ganjil dengan syarat munculnya kejadian mata dadu prima lebih dahulu: <\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/jawaban%20kejadian%20dua%20bersyarat.png\" alt=\"jawaban kejadian dua bersyarat\" width=\"350\" style=\"width: 350px;\"><\/p>\n<p><span style=\"font-weight: 400;\">Setelah mempelajari seluruh peluang kejadian majemuk, maka dapat disimpulkan:<\/span><\/p>\n<div><img decoding=\"async\" src=\"https:\/\/lh5.googleusercontent.com\/4vCZWO9MZ6jR0SbSNg3wOqN4P86ejo_NjSYMQczxz9XKjmZGPCA4C1VPz1jZuqwO2qXBRYkm3MlYMZBGDV8AHexT5nmADekQKya4EXMk_gbMJhS02t_bCIzSb-eNfR9vFxmQa6EnsSbSECJTlQ\" style=\"width: 640px; display: block; margin-left: auto; margin-right: auto;\" alt=\"peluang kejadian majemuk\" title=\"peluang kejadian majemuk\" caption=\"false\" data-constrained=\"true\" width=\"640\"><\/div>\n<p style=\"text-align: justify;\">&nbsp;<\/p>\n<p style=\"text-align: justify;\">Kali ini RG Squad telah selesai belajar tentang teori peluang, yaitu mengenai <strong><a href=\"https:\/\/blog.ruangguru.com\/aturan-perkalian-dan-faktorial-dalam-teori-peluang\">aturan perkalian dan faktorial<\/a>, <\/strong><a href=\"https:\/\/blog.ruangguru.com\/jenis-permutasi-dalam-teori-peluang\"><strong>permutasi<\/strong><\/a>, <strong><a href=\"https:\/\/blog.ruangguru.com\/kombinasi-dan-binomial-newton-dalam-teori-peluang\">kombinasi dan Binomial Newton<\/a>, <\/strong><a href=\"https:\/\/blog.ruangguru.com\/mengetahui-percobaan-ruang-sampel-dan-menghitung-peluang-kejadian\"><strong>percobaan ruang sampel dan peluang suatu kejadian<\/strong><\/a>, dan&nbsp;<a href=\"https:\/\/blog.ruangguru.com\/teori-peluang-kejadian-majemuk-bagian-1\"><strong>peluang<\/strong>&nbsp;<strong>kejadian majemuk<\/strong><\/a>.<\/p>\n<p style=\"text-align: justify;\"><span style=\"background-color: transparent;\"><em>Yuk<\/em> belajar berbagai topik dan pelajaran lainnya<\/span><span style=\"background-color: transparent;\"> di <a href=\"https:\/\/www.ruangguru.com\/ruangbelajar?shortlink=eaff0eb9&amp;pid=blog\" rel=\"noopener\" target=\"_blank\">ruangbelajar<\/a>!&nbsp;<\/span><\/p>\n<p style=\"text-align: center;\"><a href=\"https:\/\/link.ruangguru.com\/blPk\/eaff0eb9\" target=\"_blank\" style=\"text-align: center;\" class=\"rg-cta\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/cta\/0ec4a2df-db2e-4ae1-8473-692756dcb684.jpeg\" width=\"822\" height=\"200\" alt=\"IDN CTA Blog ruangbelajar Ruangguru\" \/><\/a><\/p>\n<p style=\"text-align: justify;\">&nbsp;<\/p>\n<p><strong>Sumber Referensi&nbsp;<\/strong><\/p>\n<p>Sharma S. N, Widiastuti N, Himawan C, dkk (2017) Jelajah Matematika SMA Kelas XII Program Wajib. Jakarta:Yudisthira<\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><em>Artikel diperbarui 21 Januari 2021<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RG Squad, sebelumnya kalian telah belajar teori peluang&nbsp;kejadian majemuk bagian 1 &nbsp;mengenai dua kejadian sembarang, komplemen suatu kejadian, dan dua kejadian saling lepas. Nah, di artikel kali ini akan melanjutkan pembahasan tersebut dengan penambahan penjelasan tentang dua kejadian saling bebas dan dua kejadian bersyarat.<\/p>\n","protected":false},"author":16,"featured_media":9454,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_knawatfibu_url":["https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Header%20blog%20RG\/Matematika_12.jpg"],"_edit_last":["1"],"_edit_lock":["1702949781:1"]},"categories":[467,476],"tags":[10,307,37],"class_list":["post-9454","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","category-matematika-sma-kelas-12","tag-konsep-pelajaran","tag-matematika-xii","tag-sma"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Teori Peluang Kejadian Majemuk (bagian 2) | Matematika Kelas 12<\/title>\n<meta name=\"description\" content=\"RG 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