{"id":2290,"date":"2026-04-25T02:39:30","date_gmt":"2026-04-25T02:39:30","guid":{"rendered":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-chuyen-de-xac-suat-co-dieu-kien\/"},"modified":"2026-04-25T02:39:30","modified_gmt":"2026-04-25T02:39:30","slug":"toan-thuc-te-chuyen-de-xac-suat-co-dieu-kien","status":"publish","type":"post","link":"https:\/\/77.buffdemo.com\/index.php\/2026\/04\/25\/toan-thuc-te-chuyen-de-xac-suat-co-dieu-kien\/","title":{"rendered":"To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n"},"content":{"rendered":"<div class=\"entry-content single-page\">\n<p>Chia s\u1ebb t\u00e0i li\u1ec7u to\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n, c\u00e1c d\u1ea1ng b\u00e0i li\u00ean quan \u0111\u1ebfn sinh h\u1ecdc, ki\u1ec3m tra ch\u1ea5t l\u01b0\u1ee3ng s\u1ea3n ph\u1ea9m, gieo s\u00fac x\u1eafc,\u2026<\/p>\n<div class=\"code-block code-block-2\" style=\"margin: 8px auto; text-align: center; display: block; clear: both;\">\n<div> <\/div>\n<\/div>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-dfc3a9c39c7490f68bc15b44eb0b171c\" id=\"h-n\u1ed9i-dung-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-xac-su\u1ea5t-co-di\u1ec1u-ki\u1ec7n\"><span class=\"ez-toc-section\" id=\"Noi_dung_tai_lieu_Toan_thuc_te_chuyen_de_Xac_suat_co_dieu_kien\"><\/span>N\u1ed9i dung t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>T\u00e0i li\u1ec7u t\u00f3m t\u1eaft c\u00e1c ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n v\u00e0 cung c\u1ea5p tuy\u1ec3n t\u1eadp c\u00e1c b\u00e0i to\u00e1n th\u1ef1c t\u1ebf v\u1ec1 <strong>X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n<\/strong>.<\/p>\n<h3 class=\"wp-block-heading\" id=\"h-a-ki\u1ebfn-th\u1ee9c-c\u1ea7n-n\u1eafm\"><span class=\"ez-toc-section\" id=\"A_Kien_thuc_can_nam\"><\/span><strong>A. Ki\u1ebfn th\u1ee9c c\u1ea7n n\u1eafm<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<ul class=\"wp-block-list\">\n<li>\u0110\u1ecbnh ngh\u0129a X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n:\u00a0X\u00e1c su\u1ea5t c\u1ee7a bi\u1ebfn c\u1ed1 A v\u1edbi \u0111i\u1ec1u ki\u1ec7n bi\u1ebfn c\u1ed1 B \u0111\u00e3 x\u1ea3y ra<\/li>\n<li>C\u00f4ng th\u1ee9c nh\u00e2n x\u00e1c su\u1ea5t:\u00a0N\u1ebfu A, B l\u00e0 hai bi\u1ebfn c\u1ed1 b\u1ea5t k\u00ec th\u00ec<\/li>\n<li>Bi\u1ebfn c\u1ed1 \u0111\u1ed9c l\u1eadp:\u00a0A v\u00e0 B l\u00e0 hai bi\u1ebfn c\u1ed1 \u0111\u1ed9c l\u1eadp<\/li>\n<li>C\u00f4ng th\u1ee9c x\u00e1c su\u1ea5t to\u00e0n ph\u1ea7n<\/li>\n<li>C\u00f4ng th\u1ee9c Bayes<\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\" id=\"h-b-bai-t\u1eadp-v\u1eadn-d\u1ee5ng\"><span class=\"ez-toc-section\" id=\"B_Bai_tap_van_dung\"><\/span><strong>B. B\u00e0i t\u1eadp v\u1eadn d\u1ee5ng<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p>T\u00e0i li\u1ec7u cung c\u1ea5p 40 b\u00e0i t\u1eadp v\u1eadn d\u1ee5ng (t\u1eeb C\u00e2u 1 \u0111\u1ebfn C\u00e2u 40) li\u00ean quan \u0111\u1ebfn c\u00e1c kh\u00e1i ni\u1ec7m v\u00e0 c\u00f4ng th\u1ee9c v\u1ec1 x\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n, c\u00f4ng th\u1ee9c x\u00e1c su\u1ea5t to\u00e0n ph\u1ea7n v\u00e0 c\u00f4ng th\u1ee9c Bayes, v\u1edbi nhi\u1ec1u d\u1ea1ng b\u00e0i to\u00e1n th\u1ef1c t\u1ebf kh\u00e1c nhau:<\/p>\n<ul class=\"wp-block-list\">\n<li>T\u00ednh x\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n\u00a0d\u1ef1a tr\u00ean s\u1ed1 li\u1ec7u th\u1ed1ng k\u00ea (C\u00e2u 2, 3, 18, 19, 22).<\/li>\n<li>T\u00ednh x\u00e1c su\u1ea5t\u00a0sau c\u00e1c h\u00e0nh \u0111\u1ed9ng li\u00ean ti\u1ebfp kh\u00f4ng ho\u00e0n l\u1ea1i (C\u00e2u 4, 11, 13).<\/li>\n<li>T\u00ednh x\u00e1c su\u1ea5t to\u00e0n ph\u1ea7n\u00a0(C\u00e2u 5, 6, 7, 10, 12, 21, 23, 32).<\/li>\n<li>\u00c1p d\u1ee5ng c\u00f4ng th\u1ee9c Bayes\u00a0\u0111\u1ec3 t\u00ednh x\u00e1c su\u1ea5t ng\u01b0\u1ee3c (C\u00e2u 8, 9, 24, 25, 26, 27, 28, 29, 34, 35, 36, 38, 39, 40).<\/li>\n<li>C\u00e1c b\u00e0i to\u00e1n t\u1ed5ng h\u1ee3p\u00a0kh\u00e1c li\u00ean quan \u0111\u1ebfn sinh h\u1ecdc (C\u00e2u 33), ki\u1ec3m tra ch\u1ea5t l\u01b0\u1ee3ng s\u1ea3n ph\u1ea9m (C\u00e2u 23, 37), v\u00e0 gieo x\u00fac x\u1eafc (C\u00e2u 14).<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><strong>Xem tr\u01b0\u1edbc t\u00e0i li\u1ec7u:<\/strong><\/p>\n<p class=\"has-text-align-center\"><iframe loading=\"lazy\" allow=\"autoplay\" height=\"480\" src=\"https:\/\/drive.google.com\/file\/d\/11q3OUok1VZVBnHw1itXIDNk_rZZhAr6s\/preview\" width=\"640\"><\/iframe><\/p>\n<h2 class=\"wp-block-heading has-vivid-red-color has-text-color has-link-color wp-elements-ef24517dd2ec526ddaa9398116f60d3a\" id=\"h-t\u1ea3i-tai-li\u1ec7u-toan-th\u1ef1c-t\u1ebf-chuyen-d\u1ec1-xac-su\u1ea5t-co-di\u1ec1u-ki\u1ec7n\"><span class=\"ez-toc-section\" id=\"Tai_tai_lieu_Toan_thuc_te_chuyen_de_Xac_suat_co_dieu_kien\"><\/span>T\u1ea3i t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>C\u00e1c b\u1ea1n c\u00f3 th\u1ec3 t\u1ea3i t\u00e0i li\u1ec7u \u00f4n t\u1eadp mi\u1ec5n ph\u00ed \u1edf \u0111\u00e2y nh\u00e9<\/p>\n<div class=\"wp-block-buttons is-content-justification-center is-layout-flex wp-container-core-buttons-is-layout-16018d1d wp-block-buttons-is-layout-flex\">\n<div class=\"wp-block-button\"><a class=\"wp-block-button__link has-white-color has-luminous-vivid-orange-background-color has-text-color has-background has-link-color has-text-align-center wp-element-button\" href=\"https:\/\/drive.google.com\/drive\/folders\/1w-H233mBesJmtI5baX8a42yQDuia2FiH?usp=sharing\" rel=\"noreferrer noopener nofollow\" target=\"_blank\"><strong>T\u1ea2I T\u00c0I LI\u1ec6U (\u0110\u1ec0 + \u0110\u00c1P \u00c1N)<\/strong><\/a><\/div>\n<\/div>\n<p>Tham kh\u1ea3o:<strong><a href=\"https:\/\/tailieuonthi.org\/toan-thuc-te-chuyen-de-gia-tri-lon-nhat-nho-nhat-ham-so\/\" rel=\"noreferrer noopener\" target=\"_blank\"> <\/a><a href=\"https:\/\/tailieuonthi.org\/toan-thuc-te-chuyen-de-phuong-phap-toa-do-trong-khong-gian\/\" rel=\"noreferrer noopener\" target=\"_blank\">To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 Ph\u01b0\u01a1ng ph\u00e1p t\u1ecda \u0111\u1ed9 trong kh\u00f4ng gian<\/a><\/strong><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Chia s\u1ebb t\u00e0i li\u1ec7u to\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n, c\u00e1c d\u1ea1ng b\u00e0i li\u00ean quan \u0111\u1ebfn sinh h\u1ecdc, ki\u1ec3m tra ch\u1ea5t l\u01b0\u1ee3ng s\u1ea3n ph\u1ea9m, gieo s\u00fac x\u1eafc,\u2026 N\u1ed9i dung t\u00e0i li\u1ec7u To\u00e1n th\u1ef1c t\u1ebf chuy\u00ean \u0111\u1ec1 X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n T\u00e0i li\u1ec7u t\u00f3m t\u1eaft c\u00e1c ki\u1ebfn th\u1ee9c c\u01a1 b\u1ea3n v\u00e0 [&#8230;]\n","protected":false},"author":1,"featured_media":2289,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[23,26],"tags":[],"class_list":["post-2290","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-tai-lieu-toan","category-toan-12"],"_links":{"self":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/2290","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/comments?post=2290"}],"version-history":[{"count":0,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/posts\/2290\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media\/2289"}],"wp:attachment":[{"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/media?parent=2290"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/categories?post=2290"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/77.buffdemo.com\/index.php\/wp-json\/wp\/v2\/tags?post=2290"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}