{"id":533286,"date":"2026-03-29T18:26:19","date_gmt":"2026-03-29T11:26:19","guid":{"rendered":"https:\/\/hoanghamobile.com\/tin-tuc\/?p=533286"},"modified":"2026-04-17T21:08:35","modified_gmt":"2026-04-17T14:08:35","slug":"xac-suat-la-gi","status":"publish","type":"post","link":"https:\/\/hoanghamobile.com\/tin-tuc\/xac-suat-la-gi\/","title":{"rendered":"X\u00e1c Su\u1ea5t L\u00e0 G\u00ec: T\u1eeb Kh\u00e1i Ni\u1ec7m \u0110\u1ebfn \u1ee8ng D\u1ee5ng \u0110a D\u1ea1ng"},"content":{"rendered":"<p style=\"text-align: justify;\"><b>X\u00e1c su\u1ea5t l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> X\u00e1c su\u1ea5t l\u00e0 th\u01b0\u1edbc \u0111o kh\u1ea3 n\u0103ng x\u1ea3y ra c\u1ee7a m\u1ed9t s\u1ef1 ki\u1ec7n ng\u1eabu nhi\u00ean, \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng s\u1ed1 t\u1eeb 0 \u0111\u1ebfn 1 ho\u1eb7c t\u1eeb 0% \u0111\u1ebfn 100%. Hi\u1ec3u x\u00e1c su\u1ea5t gi\u00fap ch\u00fang ta d\u1ef1 \u0111o\u00e1n, ph\u00e2n t\u00edch v\u00e0 ra quy\u1ebft \u0111\u1ecbnh trong nhi\u1ec1u l\u0129nh v\u1ef1c c\u1ee7a cu\u1ed9c s\u1ed1ng.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>X\u00e1c su\u1ea5t l\u00e0 g\u00ec? Kh\u00e1i ni\u1ec7m c\u01a1 b\u1ea3n v\u00e0 v\u00ed d\u1ee5 minh h\u1ecda<\/b><\/h2>\n<p style=\"text-align: justify;\"><b>X\u00e1c su\u1ea5t<\/b><span style=\"font-weight: 400;\"> l\u00e0 m\u1ed9t kh\u00e1i ni\u1ec7m d\u00f9ng \u0111\u1ec3 \u0111o l\u01b0\u1eddng c\u01a1 h\u1ed9i ho\u1eb7c kh\u1ea3 n\u0103ng x\u1ea3y ra c\u1ee7a m\u1ed9t s\u1ef1 ki\u1ec7n n\u00e0o \u0111\u00f3 trong th\u1ef1c t\u1ebf ho\u1eb7c trong c\u00e1c th\u00ed nghi\u1ec7m ng\u1eabu nhi\u00ean. Hi\u1ec3u x\u00e1c su\u1ea5t gi\u00fap ch\u00fang ta c\u00e2n nh\u1eafc gi\u1eefa c\u00e1c l\u1ef1a ch\u1ecdn, d\u1ef1 \u0111o\u00e1n tr\u01b0\u1edbc nh\u1eefng \u0111i\u1ec1u c\u00f3 th\u1ec3 x\u1ea3y ra v\u00e0 ki\u1ec3m so\u00e1t t\u1ed1t h\u01a1n c\u00e1c r\u1ee7i ro trong cu\u1ed9c s\u1ed1ng c\u0169ng nh\u01b0 c\u00f4ng vi\u1ec7c.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>\u0110\u1ecbnh ngh\u0129a x\u00e1c su\u1ea5t<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>X\u00e1c su\u1ea5t ngh\u0129a l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> X\u00e1c su\u1ea5t (probability) l\u00e0 m\u1ed9t con s\u1ed1 th\u1ec3 hi\u1ec7n m\u1ee9c \u0111\u1ed9 ch\u1eafc ch\u1eafn ho\u1eb7c kh\u00f4ng ch\u1eafc ch\u1eafn v\u1ec1 vi\u1ec7c m\u1ed9t bi\u1ebfn c\u1ed1 (s\u1ef1 ki\u1ec7n) s\u1ebd x\u1ea3y ra. Gi\u00e1 tr\u1ecb x\u00e1c su\u1ea5t lu\u00f4n n\u1eb1m trong kho\u1ea3ng t\u1eeb 0 \u0111\u1ebfn 1 (ho\u1eb7c 0% \u0111\u1ebfn 100%). Gi\u00e1 tr\u1ecb 0 \u0111\u1ed3ng ngh\u0129a v\u1edbi s\u1ef1 ki\u1ec7n kh\u00f4ng th\u1ec3 x\u1ea3y ra, c\u00f2n gi\u00e1 tr\u1ecb 1 l\u00e0 s\u1ef1 ki\u1ec7n ch\u1eafc ch\u1eafn s\u1ebd x\u1ea3y ra.<\/span><\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">V\u00ed d\u1ee5: X\u00e1c su\u1ea5t tung \u0111\u1ed3ng xu ra m\u1eb7t ng\u1eeda l\u00e0 0,5 (50%) v\u00ec \u0111\u1ed3ng xu ch\u1ec9 c\u00f3 2 m\u1eb7t v\u00e0 kh\u1ea3 n\u0103ng xu\u1ea5t hi\u1ec7n m\u1ed7i m\u1eb7t l\u00e0 nh\u01b0 nhau.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>To\u00e1n x\u00e1c su\u1ea5t <\/b><span style=\"font-weight: 400;\">l\u00e0 m\u1ed9t nh\u00e1nh c\u1ee7a to\u00e1n h\u1ecdc chuy\u00ean nghi\u00ean c\u1ee9u v\u1ec1 c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng ng\u1eabu nhi\u00ean, ph\u00e2n t\u00edch kh\u1ea3 n\u0103ng x\u1ea3y ra c\u1ee7a c\u00e1c s\u1ef1 ki\u1ec7n v\u00e0 x\u00e2y d\u1ef1ng c\u00e1c m\u00f4 h\u00ecnh d\u1ef1 \u0111o\u00e1n d\u1ef1a tr\u00ean d\u1eef li\u1ec7u.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-1.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-1-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-1-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-full wp-image-533548 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-1.jpg\" alt=\"xac-suat-la-gi-1\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-1.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-1-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-1-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3 style=\"text-align: justify;\"><b>C\u00e1c kh\u00e1i ni\u1ec7m n\u1ec1n t\u1ea3ng trong x\u00e1c su\u1ea5t<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>Ph\u00e9p th\u1eed trong x\u00e1c su\u1ea5t l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> L\u00e0 m\u1ed9t h\u00e0nh \u0111\u1ed9ng ho\u1eb7c th\u00ed nghi\u1ec7m c\u00f3 th\u1ec3 l\u1eb7p l\u1ea1i nhi\u1ec1u l\u1ea7n trong c\u00f9ng \u0111i\u1ec1u ki\u1ec7n v\u00e0 k\u1ebft qu\u1ea3 kh\u00f4ng th\u1ec3 d\u1ef1 \u0111o\u00e1n ch\u1eafc ch\u1eafn tr\u01b0\u1edbc (v\u00ed d\u1ee5: tung x\u00fac x\u1eafc, r\u00fat th\u0103m tr\u00fang th\u01b0\u1edfng).<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Bi\u1ebfn c\u1ed1 trong x\u00e1c su\u1ea5t <\/b><span style=\"font-weight: 400;\">l\u00e0 m\u1ed9t \u201cs\u1ef1 ki\u1ec7n\u201d m\u00e0 ch\u00fang ta quan t\u00e2m trong ph\u00e9p th\u1eed (nh\u01b0 \u201ctung \u0111\u1ed3ng xu ra m\u1eb7t ng\u1eeda\u201d ho\u1eb7c \u201cr\u00fat \u0111\u01b0\u1ee3c l\u00e1 b\u00e0i \u0111\u1ecf\u201d). Bi\u1ebfn c\u1ed1 c\u00f3 th\u1ec3 x\u1ea3y ra ho\u1eb7c kh\u00f4ng x\u1ea3y ra trong m\u1ed7i ph\u00e9p th\u1eed.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Kh\u00f4ng gian m\u1eabu<\/b><span style=\"font-weight: 400;\"> l\u00e0 t\u1eadp h\u1ee3p t\u1ea5t c\u1ea3 c\u00e1c k\u1ebft qu\u1ea3 c\u00f3 th\u1ec3 x\u1ea3y ra c\u1ee7a m\u1ed9t ph\u00e9p th\u1eed. V\u00ed d\u1ee5: Tung m\u1ed9t vi\u00ean x\u00fac x\u1eafc, kh\u00f4ng gian m\u1eabu l\u00e0 {1, 2, 3, 4, 5, 6}.<\/span><\/li>\n<\/ul>\n<p style=\"text-align: justify;\"><b>V\u00ed d\u1ee5 minh h\u1ecda:<\/b><b><br \/>\n<\/b><span style=\"font-weight: 400;\">&#8211; Tung m\u1ed9t \u0111\u1ed3ng xu: Kh\u00f4ng gian m\u1eabu l\u00e0 {s\u1ea5p, ng\u1eeda}. Bi\u1ebfn c\u1ed1 A: \u201cXu ra m\u1eb7t ng\u1eeda\u201d c\u00f3 x\u00e1c su\u1ea5t 0,5.<\/span><span style=\"font-weight: 400;\"><br \/>\n<\/span><span style=\"font-weight: 400;\">&#8211; R\u00fat m\u1ed9t l\u00e1 b\u00e0i t\u1eeb b\u1ed9 52 l\u00e1: Kh\u00f4ng gian m\u1eabu g\u1ed3m 52 k\u1ebft qu\u1ea3. Bi\u1ebfn c\u1ed1 \u201cR\u00fat \u0111\u01b0\u1ee3c l\u00e1 \u00e1t\u201d c\u00f3 x\u00e1c su\u1ea5t 4\/52 = 1\/13.<\/span><\/p>\n<h2 style=\"text-align: justify;\"><b>C\u00e1c lo\u1ea1i x\u00e1c su\u1ea5t v\u00e0 thu\u1eadt ng\u1eef li\u00ean quan<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">C\u00f3 nhi\u1ec1u lo\u1ea1i x\u00e1c su\u1ea5t kh\u00e1c nhau, m\u1ed7i lo\u1ea1i ph\u00f9 h\u1ee3p v\u1edbi t\u1eebng b\u1ed1i c\u1ea3nh v\u00e0 m\u1ee5c \u0111\u00edch nghi\u00ean c\u1ee9u. Ngo\u00e0i ra, x\u00e1c su\u1ea5t c\u00f2n c\u00f3 nhi\u1ec1u thu\u1eadt ng\u1eef v\u00e0 k\u00fd hi\u1ec7u \u0111\u1eb7c th\u00f9 gi\u00fap m\u00f4 t\u1ea3 c\u00e1c hi\u1ec7n t\u01b0\u1ee3ng ng\u1eabu nhi\u00ean m\u1ed9t c\u00e1ch ch\u00ednh x\u00e1c.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>C\u00e1c lo\u1ea1i x\u00e1c su\u1ea5t ph\u1ed5 bi\u1ebfn<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>X\u00e1c su\u1ea5t c\u1ed5 \u0111i\u1ec3n l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> L\u00e0 c\u00e1ch t\u00ednh x\u00e1c su\u1ea5t d\u1ef1a tr\u00ean s\u1ed1 tr\u01b0\u1eddng h\u1ee3p thu\u1eadn l\u1ee3i chia cho t\u1ed5ng s\u1ed1 tr\u01b0\u1eddng h\u1ee3p c\u00f3 th\u1ec3, \u00e1p d\u1ee5ng cho c\u00e1c t\u00ecnh hu\u1ed1ng m\u00e0 m\u1ecdi kh\u1ea3 n\u0103ng \u0111\u1ec1u c\u00f3 c\u01a1 h\u1ed9i nh\u01b0 nhau. V\u00ed d\u1ee5: X\u00e1c su\u1ea5t r\u00fat \u0111\u01b0\u1ee3c qu\u00e2n c\u01a1 trong 52 l\u00e1 b\u00e0i l\u00e0 13\/52.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>X\u00e1c su\u1ea5t th\u1ef1c nghi\u1ec7m l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> L\u00e0 x\u00e1c su\u1ea5t \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh th\u00f4ng qua quan s\u00e1t ho\u1eb7c th\u1eed nghi\u1ec7m th\u1ef1c t\u1ebf. N\u00f3 b\u1eb1ng t\u1ec9 l\u1ec7 s\u1ed1 l\u1ea7n s\u1ef1 ki\u1ec7n x\u1ea3y ra tr\u00ean t\u1ed5ng s\u1ed1 l\u1ea7n th\u1eed. V\u00ed d\u1ee5: N\u1ebfu tung \u0111\u1ed3ng xu 100 l\u1ea7n v\u00e0 ra m\u1eb7t ng\u1eeda 48 l\u1ea7n th\u00ec x\u00e1c su\u1ea5t th\u1ef1c nghi\u1ec7m l\u00e0 48\/100 = 0,48.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>X\u00e1c su\u1ea5t th\u1ed1ng k\u00ea\/to\u00e0n ph\u1ea7n l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> L\u00e0 x\u00e1c su\u1ea5t \u0111\u01b0\u1ee3c t\u00ednh d\u1ef1a tr\u00ean d\u1eef li\u1ec7u l\u1edbn c\u1ee7a nhi\u1ec1u ph\u00e9p th\u1eed, d\u00f9ng trong th\u1ed1ng k\u00ea v\u00e0 nghi\u00ean c\u1ee9u khoa h\u1ecdc.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> L\u00e0 x\u00e1c su\u1ea5t c\u1ee7a m\u1ed9t s\u1ef1 ki\u1ec7n x\u1ea3y ra khi bi\u1ebft tr\u01b0\u1edbc m\u1ed9t s\u1ef1 ki\u1ec7n kh\u00e1c \u0111\u00e3 x\u1ea3y ra. K\u00fd hi\u1ec7u: P(A|B).<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>X\u00e1c su\u1ea5t li\u00ean h\u1ee3p l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> L\u00e0 x\u00e1c su\u1ea5t hai (ho\u1eb7c nhi\u1ec1u) bi\u1ebfn c\u1ed1 c\u00f9ng x\u1ea3y ra trong m\u1ed9t ph\u00e9p th\u1eed.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-2.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-2-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-2-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-533547 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-2.jpg\" alt=\"xac-suat-la-gi-2\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-2.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-2-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-2-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h3 style=\"text-align: justify;\"><b>C\u00e1c thu\u1eadt ng\u1eef v\u00e0 k\u00fd hi\u1ec7u th\u01b0\u1eddng g\u1eb7p<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>P(A)<\/b><span style=\"font-weight: 400;\">: X\u00e1c su\u1ea5t bi\u1ebfn c\u1ed1 A x\u1ea3y ra.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Bi\u1ebfn c\u1ed1 xung kh\u1eafc<\/b><span style=\"font-weight: 400;\">: Hai bi\u1ebfn c\u1ed1 kh\u00f4ng th\u1ec3 c\u00f9ng x\u1ea3y ra (v\u00ed d\u1ee5: v\u1eeba b\u1ed1c \u0111\u01b0\u1ee3c qu\u00e2n c\u01a1 v\u1eeba b\u1ed1c \u0111\u01b0\u1ee3c qu\u00e2n r\u00f4 c\u00f9ng l\u00fac l\u00e0 kh\u00f4ng th\u1ec3).<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>T\u1ed5 h\u1ee3p x\u00e1c su\u1ea5t l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> L\u00e0 vi\u1ec7c x\u00e1c \u0111\u1ecbnh s\u1ed1 c\u00e1ch ch\u1ecdn c\u00e1c ph\u1ea7n t\u1eed t\u1eeb m\u1ed9t t\u1eadp h\u1ee3p (li\u00ean quan \u0111\u1ebfn to\u00e1n t\u1ed5 h\u1ee3p).<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Bi\u1ebfn ng\u1eabu nhi\u00ean l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> L\u00e0 \u0111\u1ea1i l\u01b0\u1ee3ng nh\u1eadn gi\u00e1 tr\u1ecb kh\u00e1c nhau t\u00f9y thu\u1ed9c v\u00e0o k\u1ebft qu\u1ea3 c\u1ee7a ph\u00e9p th\u1eed ng\u1eabu nhi\u00ean (v\u00ed d\u1ee5: s\u1ed1 l\u1ea7n ra m\u1eb7t ng\u1eeda khi tung 10 \u0111\u1ed3ng xu).<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Phi x\u00e1c su\u1ea5t <\/b><span style=\"font-weight: 400;\">l\u00e0 thu\u1eadt ng\u1eef d\u00f9ng \u0111\u1ec3 ch\u1ec9 c\u00e1c tr\u01b0\u1eddng h\u1ee3p kh\u00f4ng tu\u00e2n theo quy t\u1eafc x\u00e1c su\u1ea5t (x\u00e1c su\u1ea5t l\u1edbn h\u01a1n 1 ho\u1eb7c nh\u1ecf h\u01a1n 0 \u2013 \u0111i\u1ec1u n\u00e0y l\u00e0 sai).<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>K\u00fd hi\u1ec7u x\u00e1c su\u1ea5t (p l\u00e0 g\u00ec?)<\/b><span style=\"font-weight: 400;\"> Ch\u1eef \u201cp\u201d th\u01b0\u1eddng d\u00f9ng \u0111\u1ec3 k\u00fd hi\u1ec7u x\u00e1c su\u1ea5t x\u1ea3y ra c\u1ee7a m\u1ed9t bi\u1ebfn c\u1ed1 trong to\u00e1n h\u1ecdc.<\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\"><b>X\u00e1c su\u1ea5t th\u1ed1ng k\u00ea: Kh\u00e1i ni\u1ec7m v\u00e0 c\u00e1c ch\u1ec9 s\u1ed1<\/b><\/h2>\n<p style=\"text-align: justify;\"><b>X\u00e1c su\u1ea5t th\u1ed1ng k\u00ea<\/b><span style=\"font-weight: 400;\"> l\u00e0 s\u1ef1 k\u1ebft h\u1ee3p gi\u1eefa l\u00fd thuy\u1ebft x\u00e1c su\u1ea5t v\u00e0 c\u00e1c ph\u01b0\u01a1ng ph\u00e1p th\u1ed1ng k\u00ea, nh\u1eb1m ph\u00e2n t\u00edch d\u1eef li\u1ec7u, x\u00e1c \u0111\u1ecbnh xu h\u01b0\u1edbng v\u00e0 \u0111\u01b0a ra d\u1ef1 b\u00e1o d\u1ef1a tr\u00ean s\u1ed1 li\u1ec7u th\u1ef1c t\u1ebf. N\u00f3 gi\u00fap ch\u00fang ta hi\u1ec3u r\u00f5 h\u01a1n v\u1ec1 c\u00e1c m\u1eabu d\u1eef li\u1ec7u, \u0111o l\u01b0\u1eddng m\u1ee9c \u0111\u1ed9 tin c\u1eady v\u00e0 sai s\u1ed1 trong d\u1ef1 \u0111o\u00e1n.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>Kh\u00e1i ni\u1ec7m x\u00e1c su\u1ea5t th\u1ed1ng k\u00ea<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>X\u00e1c su\u1ea5t th\u1ed1ng k\u00ea l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> L\u00e0 x\u00e1c su\u1ea5t \u0111\u01b0\u1ee3c r\u00fat ra t\u1eeb d\u1eef li\u1ec7u th\u1ef1c t\u1ebf, \u00e1p d\u1ee5ng c\u00e1c ph\u01b0\u01a1ng ph\u00e1p th\u1ed1ng k\u00ea \u0111\u1ec3 \u01b0\u1edbc l\u01b0\u1ee3ng ho\u1eb7c ki\u1ec3m \u0111\u1ecbnh v\u1ec1 kh\u1ea3 n\u0103ng x\u1ea3y ra c\u1ee7a c\u00e1c s\u1ef1 ki\u1ec7n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>M\u00f4n x\u00e1c su\u1ea5t th\u1ed1ng k\u00ea l\u00e0 g\u00ec?<\/b><span style=\"font-weight: 400;\"> \u0110\u00e2y l\u00e0 m\u00f4n h\u1ecdc n\u1ec1n t\u1ea3ng trong nhi\u1ec1u chuy\u00ean ng\u00e0nh, cung c\u1ea5p ki\u1ebfn th\u1ee9c v\u1ec1 l\u00fd thuy\u1ebft x\u00e1c su\u1ea5t, ph\u00e2n ph\u1ed1i x\u00e1c su\u1ea5t, ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft, ph\u00e2n t\u00edch d\u1eef li\u1ec7u,\u2026<\/span><\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><b>C\u00e1c ch\u1ec9 s\u1ed1 v\u00e0 c\u00f4ng th\u1ee9c c\u01a1 b\u1ea3n<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>K\u1ef3 v\u1ecdng (E[X])<\/b><span style=\"font-weight: 400;\">: Gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ee7a m\u1ed9t bi\u1ebfn ng\u1eabu nhi\u00ean sau nhi\u1ec1u ph\u00e9p th\u1eed.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>\u0110\u1ed9 l\u1ec7ch chu\u1ea9n (\u03c3 ho\u1eb7c s)<\/b><span style=\"font-weight: 400;\">: \u0110o l\u01b0\u1eddng m\u1ee9c \u0111\u1ed9 ph\u00e2n t\u00e1n c\u1ee7a d\u1eef li\u1ec7u so v\u1edbi gi\u00e1 tr\u1ecb trung b\u00ecnh.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Mode, Median, Mean<\/b><span style=\"font-weight: 400;\">: Mode (mod) l\u00e0 gi\u00e1 tr\u1ecb xu\u1ea5t hi\u1ec7n nhi\u1ec1u nh\u1ea5t; Median (med) l\u00e0 gi\u00e1 tr\u1ecb trung v\u1ecb; Mean (x\u0304) l\u00e0 gi\u00e1 tr\u1ecb trung b\u00ecnh c\u1ed9ng.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>\u0110\u1ed9 tin c\u1eady &amp; Sai s\u1ed1<\/b><span style=\"font-weight: 400;\">: \u0110\u00e1nh gi\u00e1 m\u1ee9c \u0111\u1ed9 ch\u00ednh x\u00e1c c\u1ee7a k\u1ebft qu\u1ea3 th\u1ed1ng k\u00ea. \u0110\u1ed9 tin c\u1eady c\u00e0ng cao, sai s\u1ed1 c\u00e0ng nh\u1ecf.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>C\u00f4ng th\u1ee9c t\u00ednh x\u00e1c su\u1ea5t c\u01a1 b\u1ea3n<\/b><span style=\"font-weight: 400;\">: P(A) = S\u1ed1 tr\u01b0\u1eddng h\u1ee3p thu\u1eadn l\u1ee3i \/ T\u1ed5ng s\u1ed1 tr\u01b0\u1eddng h\u1ee3p.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-3.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-3-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-3-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-533546 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-3.jpg\" alt=\"xac-suat-la-gi-3\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-3.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-3-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-3-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2 style=\"text-align: justify;\"><b>X\u00e1c su\u1ea5t trong gi\u00e1o d\u1ee5c v\u00e0 h\u1ecdc t\u1eadp<\/b><\/h2>\n<p style=\"text-align: justify;\"><b>X\u00e1c su\u1ea5t l\u00e0 g\u00ec <\/b><span style=\"font-weight: 400;\">trong gi\u00e1o d\u1ee5c v\u00e0 h\u1ecdc t\u1eadp? X\u00e1c su\u1ea5t l\u00e0 ph\u1ea7n quan tr\u1ecdng trong ch\u01b0\u01a1ng tr\u00ecnh to\u00e1n h\u1ecdc t\u1eeb ph\u1ed5 th\u00f4ng \u0111\u1ebfn \u0111\u1ea1i h\u1ecdc. Vi\u1ec7c h\u1ecdc x\u00e1c su\u1ea5t gi\u00fap ph\u00e1t tri\u1ec3n t\u01b0 duy logic, kh\u1ea3 n\u0103ng ph\u00e2n t\u00edch v\u00e0 gi\u1ea3i quy\u1ebft v\u1ea5n \u0111\u1ec1 \u2013 nh\u1eefng k\u1ef9 n\u0103ng c\u1ea7n thi\u1ebft trong nhi\u1ec1u l\u0129nh v\u1ef1c ngh\u1ec1 nghi\u1ec7p.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>L\u00fd thuy\u1ebft v\u00e0 b\u00e0i t\u1eadp x\u00e1c su\u1ea5t trong c\u00e1c c\u1ea5p h\u1ecdc<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>L\u00fd thuy\u1ebft x\u00e1c su\u1ea5t 11, 12:<\/b><span style=\"font-weight: 400;\"> B\u1eaft \u0111\u1ea7u t\u1eeb l\u1edbp 10, 11, h\u1ecdc sinh \u0111\u01b0\u1ee3c ti\u1ebfp c\u1eadn v\u1edbi kh\u00e1i ni\u1ec7m x\u00e1c su\u1ea5t, c\u00e1ch t\u00ednh x\u00e1c su\u1ea5t \u0111\u01a1n gi\u1ea3n, b\u00e0i to\u00e1n t\u1ed5 h\u1ee3p, bi\u1ebfn c\u1ed1,\u2026 Th\u00f4ng qua c\u00e1c b\u00e0i t\u1eadp x\u00e1c su\u1ea5t l\u1edbp 11, 12, h\u1ecdc sinh r\u00e8n luy\u1ec7n n\u0103ng l\u1ef1c gi\u1ea3i to\u00e1n th\u1ef1c ti\u1ec5n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>X\u00e1c su\u1ea5t th\u1ef1c nghi\u1ec7m l\u00e0 g\u00ec l\u1edbp 6, 7:<\/b><span style=\"font-weight: 400;\"> T\u1eeb l\u1edbp 6, 7, h\u1ecdc sinh \u0111\u01b0\u1ee3c ti\u1ebfp c\u1eadn x\u00e1c su\u1ea5t th\u1ef1c nghi\u1ec7m th\u00f4ng qua c\u00e1c ph\u00e9p th\u1eed, tr\u00f2 ch\u01a1i, th\u00ed nghi\u1ec7m \u0111\u01a1n gi\u1ea3n.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>X\u00e1c su\u1ea5t th\u1ed1ng k\u00ea \u0111\u1ea1i h\u1ecdc:<\/b><span style=\"font-weight: 400;\"> \u1ede b\u1eadc \u0111\u1ea1i h\u1ecdc, x\u00e1c su\u1ea5t \u0111\u01b0\u1ee3c \u0111\u00e0o s\u00e2u h\u01a1n v\u1edbi c\u00e1c ch\u1ee7 \u0111\u1ec1 nh\u01b0 ph\u00e2n ph\u1ed1i x\u00e1c su\u1ea5t, ki\u1ec3m \u0111\u1ecbnh gi\u1ea3 thuy\u1ebft, m\u00f4 h\u00ecnh h\u00f3a d\u1eef li\u1ec7u,\u2026<\/span><\/li>\n<\/ul>\n<h3 style=\"text-align: justify;\"><b>T\u00e0i li\u1ec7u h\u1ecdc t\u1eadp v\u00e0 b\u00e0i t\u1eadp x\u00e1c su\u1ea5t<\/b><\/h3>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>S\u00e1ch gi\u00e1o tr\u00ecnh x\u00e1c su\u1ea5t th\u1ed1ng k\u00ea:<\/b><span style=\"font-weight: 400;\"> C\u00f3 nhi\u1ec1u gi\u00e1o tr\u00ecnh, t\u00e0i li\u1ec7u PDF mi\u1ec5n ph\u00ed ho\u1eb7c s\u00e1ch tham kh\u1ea3o gi\u00fap h\u1ecdc sinh \u2013 sinh vi\u00ean t\u1ef1 h\u1ecdc v\u00e0 n\u00e2ng cao k\u1ef9 n\u0103ng.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>B\u00e0i t\u1eadp x\u00e1c su\u1ea5t c\u00f3 l\u1eddi gi\u1ea3i:<\/b><span style=\"font-weight: 400;\"> Vi\u1ec7c luy\u1ec7n t\u1eadp qua c\u00e1c \u0111\u1ec1 thi, b\u00e0i t\u1eadp th\u1ef1c t\u1ebf gi\u00fap c\u1ee7ng c\u1ed1 ki\u1ebfn th\u1ee9c v\u00e0 th\u00e0nh th\u1ea1o ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i to\u00e1n x\u00e1c su\u1ea5t.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Ch\u01b0\u01a1ng tr\u00ecnh \u0111\u1ed5i m\u1edbi:<\/b><span style=\"font-weight: 400;\"> C\u00e1c b\u1ed9 s\u00e1ch nh\u01b0 \u201cK\u1ebft n\u1ed1i tri th\u1ee9c\u201d, \u201cCh\u00e2n tr\u1eddi s\u00e1ng t\u1ea1o\u201d c\u1eadp nh\u1eadt n\u1ed9i dung x\u00e1c su\u1ea5t g\u1ea7n g\u0169i, th\u1ef1c ti\u1ec5n v\u00e0 s\u00e1ng t\u1ea1o h\u01a1n.<\/span><\/li>\n<\/ul>\n<p><picture><source srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-4.jpg.webp 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-4-300x169.jpg.webp 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/webp-express\/webp-images\/uploads\/2026\/03\/xac-suat-la-gi-4-768x432.jpg.webp 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" type=\"image\/webp\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-533545 webpexpress-processed\" src=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-4.jpg\" alt=\"xac-suat-la-gi-4\" width=\"800\" height=\"450\" srcset=\"https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-4.jpg 800w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-4-300x169.jpg 300w, https:\/\/hoanghamobile.com\/tin-tuc\/wp-content\/uploads\/2026\/03\/xac-suat-la-gi-4-768x432.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\"><\/picture><\/p>\n<h2 style=\"text-align: justify;\"><b>\u1ee8ng d\u1ee5ng th\u1ef1c t\u1ebf c\u1ee7a x\u00e1c su\u1ea5t trong \u0111\u1eddi s\u1ed1ng<\/b><\/h2>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">X\u00e1c su\u1ea5t kh\u00f4ng ch\u1ec9 hi\u1ec7n di\u1ec7n trong s\u00e1ch v\u1edf m\u00e0 c\u00f2n \u0111\u01b0\u1ee3c \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong \u0111\u1eddi s\u1ed1ng, khoa h\u1ecdc, k\u1ef9 thu\u1eadt v\u00e0 kinh doanh. Hi\u1ec3u v\u1ec1 x\u00e1c su\u1ea5t gi\u00fap ch\u00fang ta d\u1ef1 \u0111o\u00e1n, ki\u1ec3m so\u00e1t r\u1ee7i ro v\u00e0 t\u1ed1i \u01b0u h\u00f3a quy\u1ebft \u0111\u1ecbnh trong nhi\u1ec1u l\u0129nh v\u1ef1c.<\/span><\/p>\n<ul style=\"text-align: justify;\">\n<li style=\"font-weight: 400;\"><b>D\u1ef1 b\u00e1o th\u1eddi ti\u1ebft:<\/b><span style=\"font-weight: 400;\"> X\u00e1c su\u1ea5t \u0111\u01b0\u1ee3c d\u00f9ng \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n kh\u1ea3 n\u0103ng m\u01b0a, n\u1eafng, gi\u00f3 b\u00e3o,\u2026 gi\u00fap con ng\u01b0\u1eddi chu\u1ea9n b\u1ecb v\u00e0 \u1ee9ng ph\u00f3 hi\u1ec7u qu\u1ea3.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>B\u1ea3o hi\u1ec3m &amp; t\u00e0i ch\u00ednh:<\/b><span style=\"font-weight: 400;\"> C\u00e1c c\u00f4ng ty b\u1ea3o hi\u1ec3m, ng\u00e2n h\u00e0ng s\u1eed d\u1ee5ng x\u00e1c su\u1ea5t \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 r\u1ee7i ro, thi\u1ebft k\u1ebf s\u1ea3n ph\u1ea9m ph\u00f9 h\u1ee3p v\u00e0 c\u00e2n \u0111\u1ed1i t\u00e0i ch\u00ednh.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Y h\u1ecdc &amp; nghi\u00ean c\u1ee9u l\u00e2m s\u00e0ng:<\/b><span style=\"font-weight: 400;\"> X\u00e1c su\u1ea5t gi\u00fap \u0111\u00e1nh gi\u00e1 hi\u1ec7u qu\u1ea3 c\u1ee7a thu\u1ed1c, x\u00e1c \u0111\u1ecbnh kh\u1ea3 n\u0103ng kh\u1ecfi b\u1ec7nh, \u0111\u01b0a ra khuy\u1ebfn ngh\u1ecb \u0111i\u1ec1u tr\u1ecb.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>S\u1ea3n xu\u1ea5t &amp; ki\u1ec3m so\u00e1t ch\u1ea5t l\u01b0\u1ee3ng:<\/b><span style=\"font-weight: 400;\"> X\u00e1c su\u1ea5t h\u1ed7 tr\u1ee3 ki\u1ec3m tra, \u0111\u00e1nh gi\u00e1 s\u1ea3n ph\u1ea9m l\u1ed7i, t\u1ed1i \u01b0u h\u00f3a quy tr\u00ecnh s\u1ea3n xu\u1ea5t.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o, m\u00e1y h\u1ecdc:<\/b><span style=\"font-weight: 400;\"> X\u00e1c su\u1ea5t l\u00e0 n\u1ec1n t\u1ea3ng cho c\u00e1c thu\u1eadt to\u00e1n d\u1ef1 \u0111o\u00e1n, ph\u00e2n lo\u1ea1i, nh\u1eadn di\u1ec7n h\u00ecnh \u1ea3nh, x\u1eed l\u00fd ng\u00f4n ng\u1eef t\u1ef1 nhi\u00ean.<\/span><\/li>\n<li style=\"font-weight: 400;\"><b>Ch\u01a1i game, c\u1edd b\u1ea1c:<\/b><span style=\"font-weight: 400;\"> C\u00e1c tr\u00f2 ch\u01a1i may r\u1ee7i, x\u1ed5 s\u1ed1, c\u1edd b\u1ea1c\u2026 \u0111\u1ec1u d\u1ef1a tr\u00ean nguy\u00ean l\u00fd x\u00e1c su\u1ea5t.<\/span><\/li>\n<\/ul>\n<h2 style=\"text-align: justify;\"><b>C\u00e2u h\u1ecfi th\u01b0\u1eddng g\u1eb7p\u00a0<\/b><\/h2>\n<h3 style=\"text-align: justify;\"><b>1. \u0110\u1ecbnh ngh\u0129a x\u00e1c su\u1ea5t l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">X\u00e1c su\u1ea5t l\u00e0 s\u1ed1 \u0111o kh\u1ea3 n\u0103ng x\u1ea3y ra c\u1ee7a m\u1ed9t s\u1ef1 ki\u1ec7n n\u00e0o \u0111\u00f3, c\u00f3 gi\u00e1 tr\u1ecb t\u1eeb 0 (kh\u00f4ng th\u1ec3 x\u1ea3y ra) \u0111\u1ebfn 1 (ch\u1eafc ch\u1eafn x\u1ea3y ra). N\u00f3 gi\u00fap ch\u00fang ta d\u1ef1 b\u00e1o v\u00e0 ph\u00e2n t\u00edch c\u00e1c t\u00ecnh hu\u1ed1ng c\u00f3 y\u1ebfu t\u1ed1 ng\u1eabu nhi\u00ean trong th\u1ef1c t\u1ebf.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>2. X\u00e1c su\u1ea5t do ai t\u1ea1o ra?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">C\u00e1c nh\u00e0 to\u00e1n h\u1ecdc nh\u01b0 Blaise Pascal, Pierre de Fermat l\u00e0 nh\u1eefng ng\u01b0\u1eddi \u0111\u1ea7u ti\u00ean \u0111\u1eb7t n\u1ec1n m\u00f3ng cho l\u00fd thuy\u1ebft x\u00e1c su\u1ea5t v\u00e0o th\u1ebf k\u1ef7 17. T\u1eeb \u0111\u00f3, x\u00e1c su\u1ea5t \u0111\u01b0\u1ee3c ph\u00e1t tri\u1ec3n v\u00e0 \u1ee9ng d\u1ee5ng r\u1ed9ng r\u00e3i trong nhi\u1ec1u l\u0129nh v\u1ef1c.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>3. X\u00e1c su\u1ea5t p l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Ch\u1eef \u201cp\u201d l\u00e0 k\u00fd hi\u1ec7u ph\u1ed5 bi\u1ebfn cho x\u00e1c su\u1ea5t trong to\u00e1n h\u1ecdc. N\u1ebfu P(A) = 0,7, \u0111i\u1ec1u \u0111\u00f3 c\u00f3 ngh\u0129a x\u00e1c su\u1ea5t x\u1ea3y ra bi\u1ebfn c\u1ed1 A l\u00e0 70%.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>4. X\u00e1c su\u1ea5t l\u00fd thuy\u1ebft l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">X\u00e1c su\u1ea5t l\u00fd thuy\u1ebft (hay x\u00e1c su\u1ea5t c\u1ed5 \u0111i\u1ec3n) l\u00e0 x\u00e1c su\u1ea5t \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng l\u00fd thuy\u1ebft, d\u1ef1a tr\u00ean s\u1ed1 tr\u01b0\u1eddng h\u1ee3p thu\u1eadn l\u1ee3i chia cho t\u1ed5ng s\u1ed1 tr\u01b0\u1eddng h\u1ee3p \u0111\u1ed3ng kh\u1ea3 n\u0103ng, m\u00e0 kh\u00f4ng c\u1ea7n th\u1ef1c nghi\u1ec7m th\u1ef1c t\u1ebf.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>5. X\u00e1c su\u1ea5t th\u1ef1c nghi\u1ec7m l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">X\u00e1c su\u1ea5t th\u1ef1c nghi\u1ec7m \u0111\u01b0\u1ee3c x\u00e1c \u0111\u1ecbnh d\u1ef1a tr\u00ean k\u1ebft qu\u1ea3 c\u1ee7a c\u00e1c ph\u00e9p th\u1eed ho\u1eb7c quan s\u00e1t th\u1ef1c t\u1ebf, \u0111\u01b0\u1ee3c t\u00ednh b\u1eb1ng t\u1ec9 l\u1ec7 s\u1ed1 l\u1ea7n s\u1ef1 ki\u1ec7n x\u1ea3y ra tr\u00ean t\u1ed5ng s\u1ed1 l\u1ea7n th\u1eed nghi\u1ec7m.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>6. Bi\u1ebfn c\u1ed1 trong x\u00e1c su\u1ea5t l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">Bi\u1ebfn c\u1ed1 l\u00e0 s\u1ef1 ki\u1ec7n m\u00e0 ch\u00fang ta quan t\u00e2m trong m\u1ed9t ph\u00e9p th\u1eed ng\u1eabu nhi\u00ean. N\u00f3 c\u00f3 th\u1ec3 x\u1ea3y ra ho\u1eb7c kh\u00f4ng x\u1ea3y ra, v\u00ed d\u1ee5 nh\u01b0 \u201ctung \u0111\u1ed3ng xu ra m\u1eb7t s\u1ea5p\u201d.<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>7. X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">X\u00e1c su\u1ea5t c\u00f3 \u0111i\u1ec1u ki\u1ec7n l\u00e0 x\u00e1c su\u1ea5t x\u1ea3y ra c\u1ee7a m\u1ed9t s\u1ef1 ki\u1ec7n d\u1ef1a tr\u00ean th\u00f4ng tin r\u1eb1ng m\u1ed9t s\u1ef1 ki\u1ec7n kh\u00e1c \u0111\u00e3 x\u1ea3y ra. K\u00fd hi\u1ec7u: P(A|B).<\/span><\/p>\n<h3 style=\"text-align: justify;\"><b>8. \u1ee8ng d\u1ee5ng c\u1ee7a x\u00e1c su\u1ea5t trong th\u1ef1c t\u1ebf l\u00e0 g\u00ec?<\/b><\/h3>\n<p style=\"text-align: justify;\"><span style=\"font-weight: 400;\">X\u00e1c su\u1ea5t \u1ee9ng d\u1ee5ng trong d\u1ef1 b\u00e1o th\u1eddi ti\u1ebft, b\u1ea3o hi\u1ec3m, y h\u1ecdc, t\u00e0i ch\u00ednh, s\u1ea3n xu\u1ea5t, tr\u00ed tu\u1ec7 nh\u00e2n t\u1ea1o v\u00e0 nhi\u1ec1u l\u0129nh v\u1ef1c kh\u00e1c \u0111\u1ec3 d\u1ef1 \u0111o\u00e1n, ki\u1ec3m so\u00e1t r\u1ee7i ro v\u00e0 t\u1ed1i \u01b0u h\u00f3a quy\u1ebft \u0111\u1ecbnh.<\/span><\/p>\n<p style=\"text-align: justify;\"><b>Xem th\u00eam:<\/b><\/p>\n<ul>\n<li>\n<p class=\"elementor-heading-title elementor-size-default\"><span style=\"color: #339966;\"><strong><a style=\"color: #339966;\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tap-hop-z-khai-niem-dac-diem-va-ung-dung-cua-so-nguyen-trong-toan-hoc\/\">T\u1eadp h\u1ee3p Z: Kh\u00e1i ni\u1ec7m, \u0111\u1eb7c \u0111i\u1ec3m v\u00e0 \u1ee9ng d\u1ee5ng c\u1ee7a s\u1ed1 nguy\u00ean trong to\u00e1n h\u1ecdc<\/a><\/strong><\/span><\/p>\n<\/li>\n<li>\n<p class=\"elementor-heading-title elementor-size-default\"><span style=\"color: #339966;\"><strong><a style=\"color: #339966;\" href=\"https:\/\/hoanghamobile.com\/tin-tuc\/tap-hop-so-nguyen-z-la-gi-giai-ma-toan-dien-ve-z-trong-toan-hoc\/\">T\u1eadp h\u1ee3p s\u1ed1 nguy\u00ean Z l\u00e0 g\u00ec? Gi\u1ea3i m\u00e3 to\u00e0n di\u1ec7n v\u1ec1 Z trong To\u00e1n h\u1ecdc<\/a><\/strong><\/span><\/p>\n<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>X\u00e1c su\u1ea5t l\u00e0 g\u00ec? X\u00e1c su\u1ea5t l\u00e0 th\u01b0\u1edbc \u0111o kh\u1ea3 n\u0103ng x\u1ea3y ra c\u1ee7a m\u1ed9t s\u1ef1 ki\u1ec7n ng\u1eabu nhi\u00ean, \u0111\u01b0\u1ee3c bi\u1ec3u di\u1ec5n b\u1eb1ng s\u1ed1 t\u1eeb 0 \u0111\u1ebfn 1 ho\u1eb7c t\u1eeb 0% \u0111\u1ebfn 100%. Hi\u1ec3u x\u00e1c su\u1ea5t gi\u00fap ch\u00fang ta d\u1ef1 \u0111o\u00e1n, ph\u00e2n t\u00edch v\u00e0 ra quy\u1ebft \u0111\u1ecbnh trong nhi\u1ec1u l\u0129nh v\u1ef1c c\u1ee7a cu\u1ed9c s\u1ed1ng. X\u00e1c [&hellip;]<\/p>\n","protected":false},"author":84,"featured_media":533544,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[29235,3910,30453],"tags":[],"class_list":["post-533286","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-goc-to-mo","category-kham-pha","category-kien-thuc"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v24.2 (Yoast SEO v24.2) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>X\u00e1c Su\u1ea5t L\u00e0 G\u00ec: T\u1eeb Kh\u00e1i Ni\u1ec7m \u0110\u1ebfn \u1ee8ng D\u1ee5ng \u0110a D\u1ea1ng<\/title>\n<meta name=\"description\" content=\"Hi\u1ec3u r\u00f5 x\u00e1c su\u1ea5t l\u00e0 g\u00ec v\u00e0 c\u00e1ch \u00e1p d\u1ee5ng trong \u0111\u1eddi s\u1ed1ng, th\u1ed1ng k\u00ea, v\u00e0 to\u00e1n h\u1ecdc. 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