Matematika ʻo e Lulēti · Fakaʻaongaʻi · miniti ʻe 7

Mahuʻinga ʻAmanekina ʻo e Ngaahi Peti Ui

Voisins, tiers, orphelinsFR · kongaOrphelins“Paea”: ko e fika ʻe valu ʻoku toe mei he voisins mo e tiers: 17, 34, 6 mo e 1, 20, 14, 31, 9.Lau kotoa →, kaungāʻapi mo e jeu zéro, ʻo taki taha fakaʻuhinga ki hono −1/37 ʻi he sipi ʻe taha.

Tali nounou

Ko e ngaahi peti ui ko e fakatahaʻi ia ʻo e ngaahi peti angamaheni ʻoku ʻikai tatau honau mamafa, ko ia ʻoku kehekehe ai ʻenau totongi ʻo fakatatau ki he luomeʻangāueLuoKo e taha ʻo e ngaahi luo ʻe 37 ʻoku fakafika ʻi he konga vilo. ʻOku toe ui: slot, cup.Lau kotoa →. ʻOku kei −2.70% pē ʻa e taki taha ʻo e fakakātoa ʻo e peti, koeʻuhí ʻoku fakataha ʻa e ngaahi mahuʻinga ʻamanekina. ʻOku fakahā ʻe he peesi ni ʻa e fika ki he nima kotoa.

ngaahi peti ui
angamaheni ʻe 5
ngaahi sipi
4 ki he 9
EV ʻi he sipi ʻe taha
−1/37
ʻoku kehekehe ʻa e totongi ʻo fakatatau ki he luo
ʻio

Ko e ʻuhinga ʻoku nau hā kehekehe ai

ʻOku ʻi ai ʻa e ola pē ʻe taha ʻoku totongi ʻi ha peti fika ʻe tahapetiPeti fika ʻe tahaFika pē ʻe taha, totongi ʻo e 35:1.Lau kotoa →. ʻOku ʻi ai ʻa e 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 → kehekehe ʻe tolu ʻi he Voisins du zéroFR · kongaVoisins du zéro“Kaungāʻapi ʻo e noa”: ko e fika ʻe hongofulu mā fitu mei he 22 ki he 25 ʻi he veʻeteka, peti ʻaki ha sipi ʻe hiva.Lau kotoa → ʻo fakatatau pe ʻoku tō ʻa e pulumeʻangāuePuluKo e kiʻi pulu siʻisiʻi ʻoku tolongi ʻi he hala ʻo fehangahangai mo e konga vilo. Ko e ngaahi pulu ʻo onopooni ʻoku ngaohi ʻaki ʻa e ivorine pe Teflon, 18–21 mm.Lau kotoa → ki he peti fika ʻe tolupetiPeti fika ʻe toluFika ʻe tolu ʻi ha laine fakafaʻalalo ʻe taha ʻo e palani ʻo e tēpile, totongi ʻo e 11:1. Faka-Falanisē: transversale.Lau kotoa → ʻoku liunga ua hono mamafa, ki he peti tulikipetiPeti tulikiFika ʻe fā ʻoku nau vahevahe ha tuliki ʻe taha ʻi he palani ʻo e tēpile, totongi ʻo e 8:1.Lau kotoa → ʻoku liunga ua hono mamafa pe ki ha peti fika ʻe uapetiPeti fika ʻe uaFika ʻe ua ʻoku fehokotaki, totongi ʻo e 17:1.Lau kotoa → ʻe taha. ʻOku fufuuʻi ʻe he kehekehe ko ʻeni ha meʻa ʻoku ʻikai liliu: ko e sipipaʻangaSipiKo ha fakaʻilonga ʻoku fakafofongaʻi ha paʻanga paʻu, ʻoku tuku ki he palani ʻo e tēpile ke fai ʻaki ha peti. ʻOku toe ui: check.Lau kotoa → kotoa pē ʻi he peti ko ha peti angamaheni ia ʻoku EV ko e −1/37 ʻo ia tonu, pea ko e kātoa ko e fakakātoa ia.

Voisins du zéro (sipi ʻe 9, fika ʻe 17)

2 ki he 0-2-3 (peti fika ʻe tolu, totongi 11), 2 ki he 25-26-28-29 (peti tuliki, totongi 8), 1 taki taha ki he ngaahi peti fika ʻe ua 4-7, 12-15, 18-21, 19-22, 32-35 (totongi 17). Tau ʻi he peti fika ʻe tolu: +22 − 7 = +15. Tau ʻi he peti tuliki: +16 − 7 = +9. Tau ʻi ha peti fika ʻe ua: +17 − 8 = +9. Hala: −9. EV = (3 × 15 + 4 × 9 + 10 × 9 − 20 × 9)/37 = (45 + 36 + 90 − 180)/37 = −9/37. Sipi ʻe hiva, −9/37: −1/37 ʻi he sipi ʻe taha.

peti uingaahi sipiʻoku ne ʻufiʻufingaahi ola (iuniti tupu, ngaahi luo)EV (iuniti)
Voisins du zéro917+15 × 3 · +9 × 14 · −9 × 20−9/37
Tiers du cylindre612+12 × 12 · −6 × 25−6/37
Orphelins (en cheval)58+31 × 2 · +13 × 6 · −5 × 29−5/37
Kaungāʻapi (5)55+31 × 5 · −5 × 32−5/37
Jeu zéro47+32 × 1 · +14 × 6 · −4 × 30−4/37
Ko e konga ʻe tolu fakataha2037+15/+9/+12/+31/+13 ʻo fakatatau ki he luo; ʻoku ʻikai ʻaupito ha hala−20/37
Vahevahe ʻa e EV ʻaki ʻa e ngaahi sipi pea ko e −1/37 ʻa e laine kotoa pē.

Tiers du cylindre (sipi ʻe 6, fika ʻe 12)

Peti fika ʻe ua ʻe ono, ʻoku totongi 17 taki taha. Tau ha taha: +17 − 5 = +12. Hala: −6. EV = (12 × 12 − 25 × 6)/37 = (144 − 150)/37 = −6/37. Ko e peti uitēpilePeti uiKo ha peti ʻoku fakahā ki he tīla kae ʻikai tuku ʻaki ʻa e nima, ʻo faʻa hoko ko ha peti ki ha konga ʻo e veʻeteka hangē ko e voisins pe tiers. ʻOku toe ui “peti fakahā”.Lau kotoa → ʻoku fakamafola taha: totongi ʻe taha, mole ʻe taha.

Orphelins (sipi ʻe 5, fika ʻe 8)

Peti fika ʻe taha ʻe 1 ki he 1 (totongi 35), ngaahi peti fika ʻe ua 6-9, 14-17, 17-20, 31-34 (totongi 17). Tau ʻi he 1: +35 − 4 = +31. Tau ʻi he 17 (peti fika ʻe ua ʻe ua): +34 − 3 = +31. Tau ʻi he 6, 9, 14, 20, 31, 34: +17 − 4 = +13. Hala: −5. EV = (31 + 31 + 6 × 13 − 29 × 5)/37 = (62 + 78 − 145)/37 = −5/37.

Kaungāʻapi mo e jeu zéro

KaungāʻapipetiKaungāʻapiKo ha fika mo e luo ʻe ua ʻi he tafaʻaki takitaha ʻo ia ʻi he veʻeteka, sipi fika ʻe taha ʻe nima.Lau kotoa →: peti fika ʻe taha ʻe nima; tau ha taha +35 − 4 = +31; EV = (5 × 31 − 32 × 5)/37 = (155 − 160)/37 = −5/37. Jeu zéroFR · kongaJeu zéro“Vaʻinga noa”: ko e fika ʻe fitu ʻoku ofi taha ki he noa (12, 35, 3, 26, 0, 32, 15), peti ʻaki ha sipi ʻe fā.Lau kotoa →: ngaahi peti fika ʻe ua 0-3, 12-15, 32-35 mo ha peti fika ʻe taha ki he 26; tau ʻi he 26: +35 − 3 = +32; tau ʻi ha peti fika ʻe ua: +17 − 3 = +14; EV = (32 + 6 × 14 − 30 × 4)/37 = (32 + 84 − 120)/37 = −4/37.

Ngalingali ke tau ha taha, ngaahi peti ui% ʻo e ngaahi vilo
Jeu zéro (7)
18.9%
Kaungāʻapi (5)
13.5%
Orphelins (8)
21.6%
Tiers (12)
32.4%
Voisins (17)
45.9%
ʻAkinautolu ʻe tolu (37)
100%
% ʻo e ngaahi vilo
050100%
Ko hono ʻufiʻufi ʻo e meʻa kotoa ʻaki ʻa e sipi ʻe 20 ʻoku ne fakapapauʻi ha ola ʻi he vahaʻa ʻo e −2 mo e +16 iuniti mo ha EV ʻo e −20/37. ʻOku totongi ʻa e fakapapau ko ʻeni ʻaki ʻa e 2.70% ʻo hangē ko e meʻa kotoa pē.

Peti Jeu Zéro ʻi he Lulēti

ʻI ha veʻeteka ʻelekitulōnika

ʻOku ʻoatu ʻe he Roulette Evolution ʻa IGT, ʻo hangē ko hono fakamatalaʻi ʻe Bollman (2021), ʻa e ngaahi peti ui ko ʻeni ʻi ha veʻeteka ʻelekitulōnika noaveʻetekaNoaKo e luo lanu mata pē ʻe taha ʻoku ʻikai kāpui ʻe ha peti totongi tatau, peti tasini pe peti kōlomu; ko e tupuʻanga ia ʻo e tuʻunga lelei ʻo e kasino. ʻOku toe ui: noa ʻe taha, 0.Lau kotoa → ʻe taha. ʻOku ʻikai liliu ʻa e fika: ʻoku kei −1/37 pē ʻa e taki taha ʻi he sipi ʻe taha. Ko e meʻa ʻoku liliu ko e ʻuhinga pē ʻe taha ʻoku ʻomi ʻe he kau vaʻinga ki he ngaahi peti kongaveʻetekaKongaKo ha konga fakavilo hokohoko ʻo e ngaahi luo ʻi he veʻeteka, ʻoku kehe ia mei ha kulupu ʻi he palani ʻo e tēpile.Lau kotoa →. ʻI ha tēpile moʻoni, ʻoku tui ʻa e niʻihi ʻe lava ke nau lau ʻa e ngaahi angaʻitangata ʻa e tīla mo e vave ʻo e vilo ke nau tala ʻa e feituʻu ʻe tō ki ai ʻa e pulu, ʻa ia ʻoku ui ko e fua taimi ʻo e veʻeteka (wheel clocking), pea ko e peti ui ko e founga fakanatula ia ke peti ai ki ha feituʻu. ʻOku ʻikai ha tīla ke lau ʻi ha veʻeteka ʻelekitulōnika, pea kuo mole ʻa e ʻuhinga ko iá, ʻa ia ʻoku vaivai pē ʻi ha tēpile moʻoni.

ʻI ha veʻeteka ʻelekitulōnika ʻoku ʻikai ha tīla ke lau, pea ʻoku mole fakataha mo ia ʻa e ʻuhinga ke peti ki ha feituʻu ʻo e veʻeteka.

Ngaahi Mīsini Lulēti Fakaʻelekitulōnika

Ko e lēsoni

Ko e ngaahi peti ui ko ha meʻa fakafaingofua pē, ʻo ʻikai ko e matematika. Ko e founga vave taha ia ke peti ki ha konga ʻo e veʻeteka pea ko e founga pē ia ke fai ia ʻi ha fakahā ʻe taha. ʻOku tatau pē honau 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 → ʻi he sipi ʻe taha mo e peti fika ʻe taha angamaheni taha, pea ko e kehekehe ʻo e ngaahi totongi ko e tohi kaute pē, ʻo ʻikai ko ha tuʻunga lelei.

Fomula

EV(peti ui) = Σ EV(ngaahi sipi) = −(ngaahi sipi)/37
tupu ʻi he tau = totongi ʻi he sipi ikuna − ngaahi sipi mole

Ngaahi fehuʻi

ʻOku ʻi ai ha peti ui ʻoku lelei ange hono mahuʻinga?

ʻIkai. ʻOku −1/37 ʻa e taki taha ʻi he sipi ʻe taha. ʻOku nau kehekehe ʻi he meʻa ʻoku ʻufiʻufi mo e sīpinga ʻo e totongi.

Ko e hā ʻoku totongi ai ʻe he orphelins ʻa e +31 ʻi he 17?

ʻOku kau ʻa e 17 ʻi he peti fika ʻe ua ʻe ua, ko ia ʻoku totongi ʻa e 17 ʻo tuʻo ua ʻi ha tau pea ʻoku mole pē ʻa e sipi ʻe tolu.

Fēfē kapau te u peti ʻa e voisins ʻaki ʻa e sipi ʻe 2 ʻi he feituʻu taki taha?

Sipi ʻe 18, liunga ua ʻa e totongi kotoa pē, EV −18/37. ʻOku ʻikai liliu ha meʻa ʻi hono fakalahi.

Vaʻinga mo e Matematika

ʻUluaki feinga ke ke fakaleleiʻi ʻe koe. Kuo pelu ʻa e tali takitaha; fakaava ia ʻi hoʻo mateuteu.

  1. ʻOku ʻoatu ʻe ha veʻeteka ʻelekitulōnika ʻa e ngaahi peti uitēpilePeti uiKo ha peti ʻoku fakahā ki he tīla kae ʻikai tuku ʻaki ʻa e nima, ʻo faʻa hoko ko ha peti ki ha konga ʻo e veʻeteka hangē ko e voisins pe tiers. ʻOku toe ui “peti fakahā”.Lau kotoa → Falanisē: tiers (sipipaʻangaSipiKo ha fakaʻilonga ʻoku fakafofongaʻi ha paʻanga paʻu, ʻoku tuku ki he palani ʻo e tēpile ke fai ʻaki ha peti. ʻOku toe ui: check.Lau kotoa → ʻe 6), jeu zéroFR · kongaJeu zéro“Vaʻinga noa”: ko e fika ʻe fitu ʻoku ofi taha ki he noa (12, 35, 3, 26, 0, 32, 15), peti ʻaki ha sipi ʻe fā.Lau kotoa → (4), orphelinsFR · kongaOrphelins“Paea”: ko e fika ʻe valu ʻoku toe mei he voisins mo e tiers: 17, 34, 6 mo e 1, 20, 14, 31, 9.Lau kotoa → (5), voisins (9) mo e kaungāʻapipetiKaungāʻapiKo ha fika mo e luo ʻe ua ʻi he tafaʻaki takitaha ʻo ia ʻi he veʻeteka, sipi fika ʻe taha ʻe nima.Lau kotoa → (5). Ki he taki taha, ʻoku tuʻo fiha ʻene ikuna ha meʻa, pea ko e hā ʻa e totongi ʻoku mole ai?

    Fakahā ʻa e tali

    Tali ʻOku mole ʻi he taki taha ʻa e 2.70%. ʻOku nau ikuna ha meʻa ʻi he vilo ʻe 12, 7, 8, 17 mo e 5 ʻi he 37.

    ʻOku tupu ʻa e totongi mei he lao ʻi he peesi ni: ko e sipi taki taha ko ha peti angamaheni ʻoku mole ai ʻa e 1/37 ʻo ia, pea ʻoku fakatahaʻi ʻa e ngaahi 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 →.

    Ko e ngalingali ke ikuna ha meʻa ko e lahi ia ʻo e luomeʻangāueLuoKo e taha ʻo e ngaahi luo ʻe 37 ʻoku fakafika ʻi he konga vilo. ʻOku toe ui: slot, cup.Lau kotoa → ʻoku kapui ʻe he peti, ʻi he 37. ʻOku kapui ʻe he tiers ʻa e 12, jeu zéro ʻa e 7, orphelins ʻa e 8 mo e voisins ʻa e 17. ʻOku kapui ʻe he kaungāʻapi ha fika mo e luo ʻe ua ʻi he tafaʻaki taki taha ʻo ia ʻi he veʻeteka: 5.

    ʻOku fakamatala ʻe Bollman (2021) ʻa e jeu zéro mo e sipi ʻe fā ki he 26 ʻi he ʻikai ko e taha. ʻOku hoko ai ia ko ha peti sipi ʻe 7 pea liliu ai hono 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 →, ka ʻikai hono totongi ʻoku mole: ʻoku kei 2.70% pē.

    petingaahi sipiluo ʻoku kapuiikuna ha meʻatuʻunga lelei ʻo e kasino
    tiers61232.4%2.70%
    jeu zéro4718.9%2.70%
    orphelins5821.6%2.70%
    voisins91745.9%2.70%
    kaungāʻapi5513.5%2.70%

Meʻa fakaoli

Sipi ʻe hiva, konga ʻe hiva ʻi he tolungofulu-mā-fitu. Ko e fika ko e ngaahi sipi pē.

Sipi ʻe hiva, konga ʻe hiva ʻi he tolungofulu-mā-fitu. Ko e fika ko e ngaahi sipi pē.

Ngaahi Maʻuʻanga

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Vahe 13, lulēti.
  2. Wykes, A. The Complete Illustrated Guide to Gambling. Doubleday, 1964.
  3. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Vahe 2, lulēti.
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