Matematika ʻo e Lulēti · Maʻuʻanga fakamatala · miniti ʻe 5

Tēpile ʻo e Faingamālie mo e Ngalingali ʻi he Lulēti

Ko e peti angamaheni kotoa pē mo hono ngalingali, totongi, 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 → mo e mavahe fakasitanate.

Tali nounou

ʻOku tatau pē ʻa e mahuʻinga ʻamanekina ʻo e ngaahi peti kotoa, ko e −2.70% ʻo e peti. ʻOku nau kehekehe pē ʻi he ngalingali mo e movetevete.

ngaahi peti ʻi he lisi
9
EV, ngaahi peti kotoa
−2.70%
vahaʻa ʻo e σ
1.00 ki he 5.84
ngaahi peti ui
ko e 2.70% foki

Founga hono lau ʻo e tēpile faingamālie lulēti ko ʻeni

ʻOku fakahā atu ʻe he 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 → pe ʻoku faʻa fiha hoʻo ikuna; ʻoku fakahā atu ʻe he 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 →, ʻa ia ʻoku ui ko e faingamālie ʻo e lulēti, pe ʻoku fiha; pea ʻoku fakahā atu ʻe he σ pe ʻoku fēfē hono taʻemaau ʻo e fononga. ʻOku tatau pē ʻa e kōlomu EV ʻi he laine kotoa pē ʻi hono ngaohi, ko ia ko e tēpile ni ko ha lisi moʻoni ia ʻo e ngaahi 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 → ʻi ha totongi paʻu.

petiʻoku ne ʻufiʻufip(ikuna)totongiσ ʻi he $1
Peti fika ʻe taha1/372.70%35:15.84
Peti fika ʻe ua2/375.41%17:14.09
Peti fika ʻe tolu3/378.11%11:13.28
Peti tuliki4/3710.81%8:12.84
Peti fika ʻe ono6/3716.22%5:12.23
Tasini12/3732.43%2:11.39
Kōlomu12/3732.43%2:11.39
Peti totongi tatau18/3748.65%1:11.00
Ko e EV ko e −$0.027 ʻi he $1 ʻi he laine kotoa pē.

Ngaahi peti ui

Ko e 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 → ko e fakatahaʻi ia ʻo e ngaahi peti angamaheni pea ʻoku nau maʻu honau tuʻunga lelei. ʻOku taki taha maʻu hono sīpinga totongi pē ʻoʻona koeʻuhí ʻoku ʻikai tufaki tatau ʻa e ngaahi 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 →.

peti uingaahi sipiʻoku ne ʻufiʻufip(tau ha taha)tupu ʻi he tau (iuniti)EV ʻi he iuniti ʻe taha
Kaungāʻapi (5)55/3713.51%+31−2.70%
Jeu zéro47/3718.92%+14 pe +32−2.70%
Orphelins58/3721.62%+13 pe +31−2.70%
Tiers du cylindre612/3732.43%+12−2.70%
Voisins du zéro917/3745.95%+9 pe +15−2.70%

Mahuʻinga ʻAmanekina ʻo e Ngaahi Peti Ui

ʻI ha ngaahi vilo

Ko e ngalingali ke tau ʻo siʻi taha ʻi he tuʻo taha ʻi ha vilo ʻe k, ki ha ngaahi fehuʻi angamaheni siʻi.

petiʻi he vilo ʻe 10ʻi he vilo ʻe 37ʻi he vilo ʻe 100
Peti fika ʻe taha24.0%63.7%93.5%
Peti fika ʻe ua42.6%87.1%99.6%
Peti tuliki68.1%98.6%> 99.9%
Tasini98.0%> 99.9%> 99.9%
Noa (pau)24.0%63.7%93.5%
1 − (1 − p)ᵏ.

Movetevete ʻo e taimi vaʻinga

Ko e mavahe fakasitanatematematikaMavahe fakasitanateAka ua ʻo e vēliani; ko e mamaʻo angamaheni ʻo ha ola mei he mahuʻinga ʻamanekina.Lau kotoa → ʻo ha taimi vaʻinga ʻo e vilo ʻe 100 ʻi he peti tatau ʻo e $10, ʻo fakatatau ki he peti, mo e ola ʻamanekina tatau ʻo e −$27.

σ ʻo e vilo ʻe 100 ʻi he $10$
Peti fika ʻe taha
$584
Peti fika ʻe ua
$409
Peti fika ʻe tolu
$328
Peti tuliki
$284
Peti fika ʻe ono
$223
Tasini / kōlomu
$139
Peti totongi tatau
$100
$
0292$584

Ngaahi fehuʻi

Ko e hā ʻoku tatau ai ʻa e EV ʻi he laine kotoa pē?

Koeʻuhí ko e totongi kotoa pē ko e 36/n − 1 fakatatau ki he totongi faitotonu ʻo e 37/n − 1. Vakai ki he peesi 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 →.

ʻOku ʻi fē ʻa e la partage?

Ko e ngaahi peti totongi tataupetiPeti totongi tatauKulokula/ʻuliʻuli, taʻehoa/hoa, māʻolunga/māʻulalo. Fika ʻe 18, totongi ʻo e 1:1.Lau kotoa → ʻi ha tēpile Falanisē: ʻoku ʻikai liliu ʻa e p mo e totongi, EV −1.35%, σ ≈ 0.99.

ʻOku ʻi ai ha tēpile ki he veʻeteka ʻAmelika?

Vahevahe ʻaki ʻa e 38 ʻo ʻikai ko e 37, pea ʻe hoko ʻa e kōlomu EV ko e −5.26% ʻi he laine kotoa pē, mo e −7.89% ki he peti fika ʻe nima.

Meʻa fakaoli

Peti ʻe hiva, mahuʻinga ʻamanekina ʻe taha, ʻikai ha manatu.

Peti ʻe hiva, mahuʻinga ʻamanekina ʻe taha, ʻikai ha manatu.

Ngaahi Maʻuʻanga

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Vahe 13, lulēti.
naʻe vakaiʻi 2026-09-28mōtolo: ʻIulope, noa ʻe tahafounga ngāue ↗ngaahi maʻuʻanga ↗