Ngaahi Meʻa Kehe · Ako · miniti ʻe 7

Lulēti mo e Ako Matematika

ʻOku ngaohi ʻe ha veʻeteka lulēti ke faingofua hono fakakaukauloto ki he ngalingali. Ko e founga ʻeni ke ngāueʻaki ia ʻi ha lēsoni ʻo ʻikai fakalotolahiʻi ʻa e vaʻinga paʻanga.

Tali nounou

Ola ʻe tolungofulu mā fitu ʻoku tatau hono ngalingali, ngaahi totongi paʻu, tauʻatāina, ha ʻamanekina nekativi ʻoku ʻiloa, mo ha lēkooti lōloa ʻo e fehalaaki ʻa e tangata. ʻOku fakatātaaʻi lelei ange ʻe he lulēti ʻa e ʻamanekina, vēlianimatematikaVēlianiKo ha fua ʻo hono mafola ʻo e ngaahi ola takatakai ʻi he mahuʻinga ʻamanekina. Māʻolunga ki he peti fika ʻe taha, māʻulalo ki he ngaahi peti totongi tatau.Lau kotoa →, lao ʻo e ngaahi fika lalahimatematikaLao ʻo e ngaahi fika lalahiʻOku ofi ange ʻa e ʻavalisi ʻo e ngaahi ola tauʻatāina ki he mahuʻinga ʻamanekina ʻi he tupu ʻa e lahi ʻo e ngaahi ʻahiʻahi.Lau kotoa →, fehalaaki ʻa e tokotaha peti, sivi ʻo ha fakakaukau mo e palopalema ʻo e ʻaho fāʻeleʻi ʻi he paʻanga siliva pe taisi.

ngaahi ola ʻe lava
37, tatau kotoa
ngaahi fakakaukau ʻoku kāpui
≥ 8
ngaahi meʻangāue ʻi he uepisaiti ni
taʻetotongi, ʻi he palausa
lēsoni noa
EV = −1/37, maʻu pē

Ko e hā ʻa e lulēti

ʻOku ola ʻe ua ʻa ha paʻanga siliva pea ono ʻa ha taisi; ʻoku fuʻu siʻisiʻi fakatouʻosi ke fakahā fakaofo ʻaki ʻa e palopalema ʻo e ʻaho fāʻeleʻimatematikaPalopalema ʻo e ʻaho fāʻeleʻiKo e tokolahi ʻo e kakai ʻoku fiemaʻu kimuʻa pea ngalingali ke tatau ʻa e ʻaho fāʻeleʻi ʻo ha toko ua, pe ko e lahi ʻo e ngaahi vilo kimuʻa pea ngalingali ke toe hū ha fika. ʻI ha veʻeteka luo ʻe 37, ʻoku feʻunga ʻa e vilo ʻe 8 ki ha faingamālie ʻoku lahi ange ʻi he vaeua.Lau kotoa → pe ha sivi chi-squarelēpiSivi chi-squareKo ha sivi fakasitetisitika ʻoku ne fakahoa ʻa e lahi ʻo e hū ʻi he luo takitaha naʻe sio ki ai mo e n/37 ʻoku ʻamanekina. ʻOku ngāueʻaki ia ke fakamaauʻi pe ʻoku hehema ha veʻeteka.Lau kotoa →. ʻOku manatu ʻa ha seti kaati. ʻOku ola ʻe 37 ʻa e lulēti ʻoku tatau hono ngalingali, ngaahi totongipaʻangaTotongiKo e meʻa ʻoku fakafoki ʻe ha peti ikuna, ʻoku fakahā ko e “X ki he 1” ʻi ʻolunga ʻi he peti ʻoku fakafoki.Lau kotoa → paʻu ʻoku ngaohi ai ʻa e ʻamanekina ke hoko ko ha fika ʻi ha laine pē ʻe taha, tauʻatāina ʻoku fakapapauʻi ʻe hono ngaohi fakatuʻasino, mo ha tuʻunga lelei ʻo e kasino ʻoku siʻisiʻi feʻunga ke fufū ʻi ha taimi vaʻinga ʻe taha pea lahi feʻunga ke puleʻi ha taʻu. ʻOku ʻi ai foki ʻa e senituli ʻe ua ʻo e ngaahi fehalaaki kuo lēkooti ke vakaiʻi.

ʻOku fetongi ʻa ha paʻanga siliva, ha taisi mo e ngaahi kaati ʻe he ola ʻe 37 ʻo e lulēti ʻoku tatau hono ngalingali.

Sivi Chi-Square

Ko ha hokohoko lēsoni

lēsonifakakaukausīpinga lulētimeʻangāue ʻi he uepisaiti ni
1ngalingali ko e laup(peti) = n/37Meʻa Fika ki he Faingamālie
2ʻamanekinaEV = (n/37)(36/n − 1) − (37 − n)/37 = −1/37Meʻa Langa Peti
3tauʻatāina mo e lao ʻo e liunga(18/37)² ki ha kulokula ʻe uaNgalingali ʻo e Ngaahi Hokohoko
4fakakakato mo e “tuʻo taha pe lahi ange”1 − (36/37)³⁷ = 63.7%Ngalingali ʻi he Lulēti
5vēliani mo e mavahe fakasitanateσ = 5.84 (peti fika ʻe taha) mo e 1.00 (kulokula), EV tatauVēliani
6lao ʻo e ngaahi fika lalahi (mo e meʻa ʻoku ʻikai te ne pehē)ʻoku fakaofi ʻa e ʻavalisi; ʻoku mavahe ʻa e fakakātoaFakaofi ʻi he Taimi Lōloa
7fehalaaki ʻa e tokotaha petiʻuliʻuli ʻe 26, 1913Fehalaaki ʻa e Tokotaha Peti
8ngaahi ʻeveʻeva taʻefakataumuʻa mo e ʻosi ʻa e paʻangafomula ʻo e ʻosi ʻa e paʻanga ʻa e tokotaha petiMeʻa Fika ki he Fakatuʻutāmaki ke ʻOsi ʻa e Paʻanga
9sivi ʻo ha fakakaukauchi-square ʻi he luo ʻe 37Meʻa Vakaiʻi ʻo e Hehema ʻo e Veʻeteka
10palopalema ʻo e ʻaho fāʻeleʻiha toe hū ʻi loto ʻi he vilo ʻe 8, 56%Palopalema: Ko e Veʻeteka ʻAho Fāʻeleʻi
11faʻifaʻitaki Monte Carlotaimi vaʻinga ʻe 10,000 ʻi ha sekoni ʻe tahaMeʻa Faʻifaʻitaki ʻo e Ngaahi Founga
12ko e hā ʻoku tō ai ʻa e ngaahi sisitemianga fakalaine ʻo e ʻamanekinaʻE Lava ke Ke Ikunaʻi ʻa e Lulēti

Akoʻi ʻo ʻikai akoʻi ʻa e vaʻinga paʻanga

Ngāueʻaki ʻa e paʻanga vaʻinga pē mo e Vaʻinga Fakatātā, ʻa ia ʻoku ʻikai ha peti moʻoni ai. Kamata ʻaki ʻa e mahuʻinga ʻamanekinamatematikaMahuʻinga ʻamanekinaKo e ola ʻavalisi ʻi he peti takitaha ʻi he taimi lōloa. −1/37 ʻo e peti ki he peti ʻIulope angamaheni kotoa pē.Lau kotoa → pea toe foki maʻu pē ki ai: ʻoku ngata ʻa e ngāue takitaha ʻaki ʻa e “pea ko e mahuʻinga ʻamanekina ko e −1/37 ʻo e peti”. Ngāueʻaki ʻa e ngaahi sisitemi ko ha ngaahi sīpinga fakafepaki ʻo ʻikai ko ha ngaahi founga: ko e ngāue ke kumi ʻa e fehalaaki, pea ʻoku fakahā ʻe he meʻa faʻifaʻitaki ʻa e fehalaaki ʻi ha ngaahi sekoni siʻi. Fakakau ʻa e hisitōlia ʻo e kakai naʻe mole. Ko e lēsoni ko e ikuna ʻa e fika, ʻa ia ko e fehangahangai ia ʻo ha tuʻuaki.

Ngaahi ngāue ʻoku ola lelei

Tuku ke tala kikite ʻe he kau ako pe ko e vilo ʻe fiha kae toe hū ha fika, pea fakalele ʻa e Vaʻinga Fakatātā tuʻo hongofulu (palopalema ʻo e ʻaho fāʻeleʻi). Tuku ke nau tohi ha “sisitemi” ʻi he meʻa tohi founga pea fakalele ha taimi vaʻinga ʻe 10,000 (anga fakalaine ʻo e ʻamanekina). Tuku ke nau fika ʻa e ngalingalimatematikaNgalingaliKo e faingamālie ʻo ha ola, mei he 0 ki he 1 pe 0% ki he 100%. Fika ʻe taha: 1/37 = 2.70%.Lau kotoa → ʻo e hokohoko ʻo e 1913 pea hoko ai ʻa e ngalingali ke hoko ha hokohoko pehē ʻi ha feituʻu ʻi he taʻu ʻe nimangofulu ʻo Monte Carlo (ko e kehekehe ʻi ha meʻa pau mo ha meʻa pē). Tuku ke nau kumi ʻa e luomeʻangāueLuoKo e taha ʻo e ngaahi luo ʻe 37 ʻoku fakafika ʻi he konga vilo. ʻOku toe ui: slot, cup.Lau kotoa → “hehema” ʻi ha hisitōlia vilo faitotonu pea fakafemafuʻiʻaki leva ʻa e fakamatala (ngaahi fakahoa lahi).

Vave hono hala ʻa e ongoʻi ʻa e kau ako (ngaahi tala angamaheni ʻa ha kalasi mo e moʻoni)
vilo kae toe hū ha fika: tala ≈ 19, moʻoni 8
8 mo e 19
p(≥1 tō ʻi he vilo ʻe 37): tala 100%, moʻoni 63.7%
63.7% mo e 100%
p(kulokula hili ha kulokula ʻe 10): tala “siʻi ange”, moʻoni 48.65%
48.65%
taimi vaʻinga ʻoku tupu, Martingale: tala ≈ 95%, moʻoni ≈ 78%
78% mo e 95%
ola ʻavalisi, Martingale: tala “posetivi”, moʻoni nekativi
nekativi
050100
Ko e vahaʻa takitaha ko ha lēsoni. Ko e fakaʻosi ko e kōsi kātoa ia.

Lau ʻo e Ngaahi Hisitōlia Vilo kuo PulusiMahuʻinga Fakasitetisitika

Ko e hā ʻoku manatuʻi ai

ʻOku manatuʻi ʻe he kau ako ʻa e ʻuliʻulipetiʻUliʻuliPeti totongi tatau ki he fika ʻuliʻuli ʻe 18. Faka-Falanisē: noir.Lau kotoa → ʻe 26, ko e veʻeteka ʻa Jagger, mo e taimi naʻe fakahā ai ʻe he meʻa faʻifaʻitaki ʻa e mole ʻa ʻenau sisitemi. ʻOku ngalo ʻa e ngalingali fakakaukau pē ʻi he taimi ʻo e sivi; ka ʻoku ʻikai ngalo ha veʻeteka. ʻOku mahino ʻa e laine fakaeʻulungaanga: akoʻi ʻa e fika ʻoku ne ngaohi ʻa e vaʻinga ko ha peti kovi, ʻo ngāueʻaki ʻa e vaʻinga, pea ko e kau ako te nau vaʻinga paʻanga ʻamui, te nau ʻilo ʻo siʻi pē ʻa e totongi.

Kau Vaʻinga Lulēti Ongoongoa

Ngaahi fehuʻi

ʻOku feʻunga ia ki he kau ako ʻi he ʻapiako?

ʻAki ʻa e paʻanga vaʻinga pē mo e fakamahino ʻoku ko e tuʻunga lelei ʻo e kasinomatematikaTuʻunga lelei ʻo e kasinoKo e konga ʻo e peti takitaha ʻoku tauhi ʻe he kasino ʻi he ʻavalisi: 2.70% ʻi he lulēti ʻIulope.Lau kotoa → ʻa e lēsoni, ʻoku ʻosi ngāueʻaki ʻe he ngaahi silapa lahi ʻa e taisi mo e ngaahi lotolī; ko e lulēti ko ha faʻahinga koloaʻia ange ia ʻo e meʻa tatau.

Ko e fē peesi ʻe totonu ke kamata ʻaki ʻe ha faiako?

Tuʻunga Lelei ʻo e Kasino ʻi he Lulēti, pea hoko ki he Vaʻinga Fakatātā, pea hoko ki he Meʻa Faʻifaʻitaki ʻo e Ngaahi Founga Lulēti.

ʻOku malu ʻa e Vaʻinga Fakatātā ki ha loki ako?

ʻOku ʻikai ha paʻanga moʻoni ai, ʻikai ha ʻakauni pea ʻikai ha fehokotaki ki ha kasino.

Meʻa fakaoli

Ola ʻe tolungofulu mā fitu, tuʻunga lelei ʻe taha ʻo e kasino, senituli ʻe ua ʻo e ngaahi fehalaaki ke ako mei ai.

Ola ʻe tolungofulu mā fitu, tuʻunga lelei ʻe taha ʻo e kasino, senituli ʻe ua ʻo e ngaahi fehalaaki ke ako mei ai.

Ngaahi Maʻuʻanga

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, paaki 3, 1968. ʻOsi ʻa e paʻanga ʻa e tokotaha peti, vahe XIV.
  2. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Vahe 13, lulēti.
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