{"id":11005,"date":"2017-10-10T03:57:44","date_gmt":"2017-10-09T20:57:44","guid":{"rendered":"https:\/\/example.com\/?p=11005"},"modified":"2023-10-06T22:29:11","modified_gmt":"2023-10-06T15:29:11","slug":"pengertian-peluang-teoritik","status":"publish","type":"post","link":"https:\/\/staging-blog.sirogu.com\/blog\/pengertian-peluang-teoritik","title":{"rendered":"Pengertian Peluang Teoritik | Matematika Kelas 8"},"content":{"rendered":"<p><span style=\"font-weight: 400;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Matematika_Header%20(2).jpg\" alt=\"Matematika Kelas 8 : Pengertian Peluang Teoritik\" style=\"display: block; margin-left: auto; margin-right: auto;\"><\/span><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\"><span style=\"color: #000000;\">RG Squad, kamu masih ingat materi tentang<a href=\"\/materi-peluang-percobaan-ruang-sampel-dan-titik-sampel\"><strong> ruang sampel<\/strong><\/a><span style=\"font-weight: 400;\">? Banyak anggota ruang sampel untuk 2 buah dadu adalah 36 buah. Lalu apa hubungannya dengan peluang teoritik? Ternyata, ruang sampel merupakan dasar untuk menentukannya. <em>Nah<\/em>, untuk lebih lengkapnya, silakan kamu perhatikan materi di bawah ini<\/span> ya! <\/span><\/span><span style=\"font-weight: 400;\"><\/span><!--more--><\/p>\n<p style=\"text-align: center;\"><span style=\"font-weight: 400;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/a1-1.png\" alt=\"tabel ruang sampel\" style=\"display: block; margin-left: auto; margin-right: auto;\">tabel ruang sampel<\/span><\/p>\n<p style=\"text-align: justify;\"><strong>Peluang teoritik adalah perbandingan antara frekuensi kejadian yang diharapkan terhadap frekuensi kejadian yang mungkin (ruang sampel)<\/strong>. <span style=\"font-weight: 400;\">Biasanya peluang teoritik digunakan saat <\/span>percobaan yang dilakukan hanya satu kali.<\/p>\n<p><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/01(1).jpg\" alt=\"rumus peluang teoritik\" style=\"width: 600px; display: block; margin-left: auto; margin-right: auto;\" title=\"01(1).jpg\" caption=\"false\" data-constrained=\"true\" width=\"600\"><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Supaya kamu mengerti hubungan antara ruang sampel dengan peluang teoritik, perhatikan beberapa contoh soal berikut.<\/span><\/p>\n<p style=\"line-height: 1em;\"><strong>Contoh 1:<\/strong><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400;\">Dua buah dadu hitam dan merah dilempar bersama-sama. Peluang munculnya dadu pertama bermata 3 adalah<br \/><\/span><\/p>\n<p><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/U1%20=%20k%20-%201%20maka%20a%20=%20k%20-1%20%E2%80%A6%20pers.%201)U3%20=%203k%20+1%20maka%20a%20+%202b%20=%203k%20+1%20%E2%80%A6%20pers.%202)(10).png\" alt=\"peluang teoritik\" style=\"display: block; margin-left: auto; margin-right: auto; width: 551px;\" title=\"peluang teoritik\" caption=\"false\" data-constrained=\"true\" width=\"551\"><span style=\"font-weight: 400;\">Jawab:<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Berdasarkan tabel di atas, n(S) = 36<\/span><span style=\"font-weight: 400;\"><br \/><\/span><span style=\"font-weight: 400;\">A = kejadian muncul mata dadu pertama bermata 3 = (3,1) , (3,2), (3,3), (3,4), (3,5), (3,6), n(A) = 6<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Munculnya dadu pertama bermata 3:<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/soal%20mtk10.png\" alt=\"soal mtk10.png\" style=\"margin: 0px 10px 10px 0px; float: left;\"><\/span><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n<p><strong>Contoh 2:<\/strong><\/p>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Pada Sebuah&nbsp; kantong terdapat 40 kelereng dengan warna merah 16 buah, hijau 8 buah dan sisanya berwarna biru, kemudian diambil satu buah kelereng secara acak.&nbsp; Tentukan peluang jika yang terambil adalah kelereng biru?<\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400;\">Jawab:<\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400;\">Banyaknya seluruh kelereng, n(S) = 40<\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400;\">Jumlah kelereng merah = 16<\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400;\">Jumlah kelereng hijau = 8<\/span><\/p>\n<p style=\"line-height: 1em;\"><span style=\"font-weight: 400;\">Jumlah kelereng biru, n(biru)= 40-16-8 = 16<\/span><\/p>\n<p><span style=\"font-weight: 400; line-height: 1em;\">&nbsp;<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Peluang terambil kelereng biru: <\/span><\/p>\n<p><span style=\"font-weight: 400;\"><img decoding=\"async\" src=\"https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/soal%20mtk7.png\" alt=\"soal mtk7.png\"><\/span><\/p>\n<p style=\"text-align: justify;\"><i><span style=\"font-weight: 400;\">Nah, <\/span><\/i><span style=\"font-weight: 400;\">kalau masih ada yang belum jelas? Kamu bisa liat penjelasan lebih lengkap lewat video belajar beranimasi di <a href=\"https:\/\/ruangguru.onelink.me\/blPk\/f33e1006\" rel=\"noopener\" target=\"_blank\"><strong>ruangbelajar<\/strong><\/a> <em>yuk<\/em>!<\/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: left;\"><strong>Referensi:<\/strong><\/p>\n<p style=\"text-align: left;\">Subchan, Winarni, Hanafi L, dkk. (2015) Matematika SMP\/MTs Kelas IX. Jakarta: Kementerian Pendidikan dan Kebudayaan<\/p>\n<p style=\"text-align: left;\">&nbsp;<\/p>\n<p style=\"text-align: left;\"><em>Artikel diperbarui pada 15 Januari 2021<\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>RG Squad, kamu masih ingat materi tentang ruang sampel? Banyak anggota ruang sampel untuk 2 buah dadu adalah 36 buah. Lalu apa hubungannya dengan peluang teoritik? Ternyata, ruang sampel merupakan dasar untuk menentukannya. Nah, untuk lebih lengkapnya, silakan kamu perhatikan materi di bawah ini ya!<\/p>\n","protected":false},"author":82,"featured_media":11005,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_knawatfibu_url":["https:\/\/cdn-web.ruangguru.com\/landing-pages\/assets\/hs\/Matematika_Header%20%282%29.jpg"],"_edit_last":["1"],"_edit_lock":["1696606151:1"]},"categories":[467,472],"tags":[25,10,67,16],"class_list":["post-11005","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-matematika","category-matematika-smp-kelas-8","tag-kelas-8","tag-konsep-pelajaran","tag-matematika-viii","tag-smp"],"aioseo_notices":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v25.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Pengertian Peluang Teoritik | Matematika Kelas 8 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/staging-blog.sirogu.com\/blog\/pengertian-peluang-teoritik\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Pengertian Peluang Teoritik | Matematika Kelas 8 - Belajar Gratis di Rumah Kapan Pun! | Blog Ruangguru\" \/>\n<meta property=\"og:description\" content=\"RG Squad, kamu masih ingat materi tentang ruang sampel? Banyak anggota ruang sampel untuk 2 buah dadu adalah 36 buah. Lalu apa hubungannya dengan peluang teoritik? Ternyata, ruang sampel merupakan dasar untuk menentukannya. 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