{"id":25261,"date":"2023-12-07T00:18:39","date_gmt":"2023-12-07T00:18:39","guid":{"rendered":"https:\/\/masterskills.org\/blog\/xac-suat-phuc-hop-compound-probability-la-gi-cong-thuc-tinh.html"},"modified":"2023-12-22T10:09:37","modified_gmt":"2023-12-22T03:09:37","slug":"xac-suat-phuc-hop-compound-probability-la-gi-cong-thuc-tinh","status":"publish","type":"post","link":"https:\/\/masterskills.org\/blog\/xac-suat-phuc-hop-compound-probability-la-gi-cong-thuc-tinh.html","title":{"rendered":"X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p (Compound Probability) l\u00e0 g\u00ec? C\u00f4ng th\u1ee9c t\u00ednh"},"content":{"rendered":"
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Hi\u0300nh minh ho\u0323a. Ngu\u00f4\u0300n: Youtube.com<\/p>\n<\/figcaption><\/figure>\n

X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p<\/font><\/h2>\n

Kha\u0301i ni\u00ea\u0323m<\/b><\/p>\n

X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p<\/b> hay X\u00e1c su\u1ea5t g\u1ed9p, X\u00e1c su\u1ea5t gh\u00e9p<\/b> trong ti\u00ea\u0301ng Anh la\u0300 Compound Probability.<\/b><\/p>\n

X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p<\/b> l\u00e0 m\u1ed9t thu\u1eadt ng\u1eef to\u00e1n h\u1ecdc ch\u1ec9 kh\u1ea3 n\u0103ng hai bi\u1ebfn c\u1ed1 \u0111\u1ed9c l\u1eadp x\u1ea3y ra. X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p b\u1eb1ng v\u1edbi x\u00e1c su\u1ea5t c\u1ee7a bi\u1ebfn c\u1ed1 \u0111\u1ea7u ti\u00ean nh\u00e2n v\u1edbi x\u00e1c su\u1ea5t c\u1ee7a bi\u1ebfn c\u1ed1 th\u1ee9 hai.<\/p>\n

X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p \u0111\u01b0\u1ee3c s\u1eed d\u1ee5ng b\u1edfi c\u00e1c nh\u00e0 b\u1ea3o l\u00e3nh b\u1ea3o hi\u1ec3m \u0111\u1ec3 \u0111\u00e1nh gi\u00e1 r\u1ee7i ro v\u00e0 \u0111\u1ecbnh ph\u00ed b\u1ea3o hi\u1ec3m cho c\u00e1c s\u1ea3n ph\u1ea9m b\u1ea3o hi\u1ec3m.<\/i><\/p>\n

\u0110\u1eb7c \u0111i\u1ec3m X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p\u00a0<\/font><\/h3>\n

V\u00ed d\u1ee5 c\u01a1 b\u1ea3n nh\u1ea5t v\u1ec1 x\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p<\/b> l\u00e0 k\u1ebft qu\u1ea3 khi tung m\u1ed9t \u0111\u1ed3ng xu hai l\u1ea7n.<\/p>\n

X\u00e1c su\u1ea5t nh\u1eadn \u0111\u01b0\u1ee3c m\u1eb7t ng\u1eeda l\u1ea7n \u0111\u1ea7u l\u00e0 50%, th\u00ec x\u00e1c su\u1ea5t tung \u0111\u01b0\u1ee3c hai m\u1eb7t ng\u1eeda li\u00ean ti\u1ebfp s\u1ebd l\u00e0 ( \u00bd * \u00bd = \u00bc) \u00a0hay 25%.\u00a0<\/p>\n

X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p k\u1ebft h\u1ee3p \u00edt nh\u1ea5t hai bi\u1ebfn c\u1ed1 \u0111\u01a1n, c\u00f2n \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 bi\u1ebfn c\u1ed1 gh\u00e9p. X\u00e1c su\u1ea5t tung \u0111\u01b0\u1ee3c m\u1eb7t ng\u1eeda \u0111\u1ed3ng xu trong m\u1ed9t l\u1ea7n l\u00e0 m\u1ed9t bi\u1ebfn c\u1ed1 \u0111\u01a1n. \u00a0 \u00a0\u00a0<\/i><\/p>\n

Trong l\u0129nh v\u1ef1c b\u1ea3o hi\u1ec3m, c\u00e1c c\u00f4ng ty b\u1ea3o hi\u1ec3m c\u00f3 th\u1ec3 s\u1eed d\u1ee5ng x\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p \u0111\u1ec3 x\u00e1c \u0111\u1ecbnh kh\u1ea3 n\u0103ng m\u1ed9t s\u1ed1 k\u1ecbch b\u1ea3n c\u00f3 th\u1ec3 x\u1ea3y ra.\u00a0<\/p>\n

V\u00ed d\u1ee5 nh\u01b0 x\u00e1c \u0111\u1ecbnh kh\u1ea3 n\u0103ng c\u1ea3 hai v\u1ee3 ch\u1ed3ng s\u1ebd s\u1ed1ng \u0111\u1ebfn 75 tu\u1ed5i ho\u1eb7c t\u1ec9 l\u1ec7 kh\u1ea3 n\u0103ng x\u1ea3y ra hai c\u01a1n b\u00e3o l\u1edbn t\u1ea5n c\u00f4ng v\u00e0o m\u1ed9t khu v\u1ef1c nh\u1ea5t \u0111\u1ecbnh trong m\u1ed9t khung th\u1eddi gian nh\u1ea5t \u0111\u1ecbnh.\u00a0<\/i><\/p>\n

K\u1ebft qu\u1ea3 x\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p s\u1ebd x\u00e1c \u0111\u1ecbnh m\u1ee9c ph\u00ed ph\u1ea3i tr\u1ea3 cho b\u1ea3o hi\u1ec3m ng\u01b0\u1eddi ho\u1eb7c t\u00e0i s\u1ea3n, nh\u01b0 trong hai v\u00ed d\u1ee5 tr\u00ean.\u00a0<\/p>\n

Bi\u1ebfn c\u1ed1 gh\u00e9p v\u00e0 X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p\u00a0<\/font><\/h3>\n

C\u00f3 hai lo\u1ea1i bi\u1ebfn c\u1ed1 gh\u00e9p: bi\u1ebfn c\u1ed1 gh\u00e9p lo\u1ea1i tr\u1eeb l\u1eabn nhau v\u00e0 bi\u1ebfn c\u1ed1 gh\u00e9p bao h\u00e0m l\u1eabn nhau.<\/p>\n

– Bi\u1ebfn c\u1ed1 gh\u00e9p lo\u1ea1i tr\u1eeb l\u1eabn nhau l\u00e0 khi hai bi\u1ebfn c\u1ed1 kh\u00f4ng th\u1ec3 x\u1ea3y ra c\u00f9ng m\u1ed9t l\u00fac. N\u1ebfu hai bi\u1ebfn c\u1ed1 A v\u00e0 B lo\u1ea1i tr\u1eeb l\u1eabn nhau, th\u00ec x\u00e1c su\u1ea5t x\u1ea3y ra A ho\u1eb7c B l\u00e0 x\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p<\/b> c\u1ee7a ch\u00fang.\u00a0<\/p>\n

\u00a0– Bi\u1ebfn c\u1ed1 gh\u00e9p bao h\u00e0m l\u1eabn nhau l\u00e0 khi m\u1ed9t bi\u1ebfn c\u1ed1 x\u1ea3y ra th\u00ec bi\u1ebfn c\u1ed1 kia kh\u00f4ng th\u1ec3 x\u1ea3y ra. N\u1ebfu hai bi\u1ebfn c\u1ed1 (A v\u00e0 B) bao h\u00e0m l\u1eabn nhau, x\u00e1c su\u1ea5t x\u1ea3y ra bi\u1ebfn c\u1ed1 A v\u00e0 bi\u1ebfn c\u1ed1 B tr\u1eeb \u0111i x\u00e1c su\u1ea5t c\u1ee7a c\u1ea3 hai bi\u1ebfn c\u1ed1 c\u00f9ng x\u1ea3y ra l\u00e0 x\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p c\u1ee7a ch\u00fang. \u00a0\u00a0<\/p>\n

C\u00f4ng th\u1ee9c t\u00ednh X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p\u00a0<\/font><\/h3>\n

C\u00f3 hai c\u00f4ng th\u1ee9c \u0111\u1ec3 t\u00ednh x\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p cho hai lo\u1ea1i bi\u1ebfn c\u1ed1 gh\u00e9p. Gi\u1ea3 s\u1eed A v\u00e0 B l\u00e0 hai bi\u1ebfn c\u1ed1.\u00a0<\/p>\n

\u00a0– N\u1ebfu c\u00e1c bi\u1ebfn c\u1ed1 n\u00e0y lo\u1ea1i tr\u1eeb l\u1eabn nhau: P (A ho\u1eb7c B) = P (A) + P (B)<\/b>.<\/p>\n

\u00a0– N\u1ebfu c\u00e1c bi\u1ebfn c\u1ed1 n\u00e0y bao g\u1ed3m l\u1eabn nhau: P (A ho\u1eb7c B) = P (A) + P (B) – P (A v\u00e0 B)<\/b>. \u00a0\u00a0<\/p>\n

V\u00ed d\u1ee5 n\u1ebfu b\u1ea1n tung m\u1ed9t \u0111\u1ed3ng xu v\u00e0 xoay con s\u00fac s\u1eafc c\u00f9ng m\u1ed9t l\u00fac, x\u00e1c su\u1ea5t xu\u1ea5t hi\u1ec7n \u0111\u1ed3ng xu v\u1edbi m\u1eb7t ng\u1eeda v\u00e0 con x\u00fac x\u1eafc l\u00e0 ch\u1eb5n? \u0110\u1ea7u ti\u00ean, h\u00e3y quan s\u00e1t b\u1ea3ng li\u1ec7t k\u00ea t\u1ea5t c\u1ea3 c\u00e1c k\u1ebft qu\u1ea3 c\u00f3 th\u1ec3 c\u00f3 sau \u0111\u00e2y: \u00a0\u00a0\u00a0<\/p>\n

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\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0X\u00fac x\u1eafc (m\u1eb7t)<\/i><\/p>\n<\/td>\n<\/tr>\n

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\u00a0<\/p>\n<\/td>\n

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1<\/b><\/p>\n<\/td>\n

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2<\/b><\/p>\n<\/td>\n

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3<\/b><\/p>\n<\/td>\n

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4<\/b><\/p>\n<\/td>\n

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5<\/b><\/p>\n<\/td>\n

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6<\/b><\/p>\n<\/td>\n<\/tr>\n

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X\u00fac x\u1eafc\u00a0\u00a0\u00a0 \u00a0 \u00a0\u00a0\u00a0<\/i><\/p>\n<\/td>\n

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Ng\u1eeda (N)\u00a0 \u00a0 \u00a0 \u00a0<\/b><\/p>\n<\/td>\n

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N1<\/p>\n<\/td>\n

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N2\u00a0<\/p>\n<\/td>\n

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N3<\/p>\n<\/td>\n

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N4\u00a0<\/p>\n<\/td>\n

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N5\u00a0<\/p>\n<\/td>\n

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N6\u00a0<\/p>\n<\/td>\n<\/tr>\n

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S\u1ea5p (S)\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0<\/b><\/p>\n<\/td>\n

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S1<\/p>\n<\/td>\n

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S2<\/p>\n<\/td>\n

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S3<\/p>\n<\/td>\n

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S4<\/p>\n<\/td>\n

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S5<\/p>\n<\/td>\n

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S6<\/p>\n<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n

Trong v\u00ed d\u1ee5 n\u00e0y, c\u00f3 12 k\u1ebft qu\u1ea3 c\u00f3 th\u1ec3 x\u1ea3y ra v\u00e0 ba k\u1ebft qu\u1ea3 th\u1ecfa m\u00e3n \u0111i\u1ec1u ki\u1ec7n m\u1eb7t ng\u1eeda v\u00e0 l\u00e0 s\u1ed1 ch\u1eb5n.\u00a0<\/p>\n

V\u1eady x\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p c\u1ee7a tung \u0111\u1ed3ng xu xu\u1ea5t hi\u1ec7n m\u1eb7t ng\u1eeda v\u00e0 xoay con x\u00fac x\u1eafc ra s\u1ed1 ch\u1eb5n l\u00e0: P = 3\/12 = 1\/4 = 25%.<\/i><\/p>\n

(Theo Investopedia<\/i>)<\/p>\n<\/p><\/div>\n","protected":false},"excerpt":{"rendered":"

\n X\u00e1c su\u1ea5t ph\u1ee9c h\u1ee3p (ti\u1ebfng Anh: Compound Probability) l\u00e0 m\u1ed9t thu\u1eadt ng\u1eef to\u00e1n h\u1ecdc ch\u1ec9 kh\u1ea3 n\u0103ng hai bi\u1ebfn c\u1ed1 \u0111\u1ed9c l\u1eadp x\u1ea3y ra.\n <\/div>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[414],"tags":[],"_links":{"self":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/25261"}],"collection":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/comments?post=25261"}],"version-history":[{"count":0,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/posts\/25261\/revisions"}],"wp:attachment":[{"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/media?parent=25261"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/categories?post=25261"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/masterskills.org\/blog\/wp-json\/wp\/v2\/tags?post=25261"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}