Matematik roulet · Referans · 5 min

Tablo kot ek probabilite roulet

Sakenn pari standar avek so probabilite, so peman, so valer atandimatematikValer atandiRezilta mwayen par pari lor enn long dire. −1/37 miz-la pou sak pari eropeen standar.Lir tou → ek so ekar-tip.

Repons kourt

Tou pari ena mem valer atandi, −2.70% miz-la. Zot diferan zis par zot probabilite ek zot dispersion.

pari dan lalis
9
EV, tou pari
−2.70%
lekar σ
1.00 ziska 5.84
pari anonse
osi 2.70%

Kouma pou lir sa tablo kot roulet-la

ProbabilitematematikProbabiliteSans enn rezilta, depi 0 ziska 1 ouswa depi 0% ziska 100%. Enn nimero: 1/37 = 2.70%.Lir tou → dir ou komie fwa ou gagne; pemanlarzanPemanSeki enn pari gagnan rapporte, ekrir kouma “X kont 1” anplis miz ki retourne.Lir tou →, ki kot roulet exprime, dir ou komie; σ dir ou kouma sime-la ena douk. Kolonn EV parey lor tou lign par konstriksion, alor tablo-la vremem enn meni varyansmatematikVaryansEnn mezir lor kouma bann rezilta dispers otour valer atandi. For pou pari lor enn sel nimero, ba pou pari peman egal.Lir tou → a enn pri fix.

parikouverp(gagne)peyσ par $1
Pari lor enn sel nimero1/372.70%35:15.84
Pari lor de nimero2/375.41%17:14.09
Pari lor trwa nimero3/378.11%11:13.28
Pari lor kat nimero4/3710.81%8:12.84
Pari lor sis nimero6/3716.22%5:12.23
Douzenn12/3732.43%2:11.39
Kolonn12/3732.43%2:11.39
Peman egal18/3748.65%1:11.00
EV vo −$0.027 par $1 lor tou lign.

Pari anonse

Bann pari sekterrouSekterEnn ark kaz ki swiv lor rou-la, pa enn group lor tapi pari.Lir tou → se kombinezon pari standar ek zot erit zot lavantaz kazino. Sakenn ena so prop form peman akoz zetonlarzanZetonEnn zeton ki reprezant enn montan fix, ki ou poze lor tapi pari pou fer enn pari. Osi: check.Lir tou → pa reparti egalman.

pari anonsezetonkouverp(ninport ki touse)net si touse (inite)EV par inite
Vwazin (5)55/3713.51%+31−2.70%
Jeu zéro47/3718.92%+14 ouswa +32−2.70%
Orphelins58/3721.62%+13 ouswa +31−2.70%
Tiers du cylindre612/3732.43%+12−2.70%
Voisins du zéro917/3745.95%+9 ouswa +15−2.70%

Valer atandi bann pari anonse

Lor plizir tour

Probabilite pou touse omwin enn fwa lor k tour, pou enn pe kestion kouran.

paridan 10 tourdan 37 tourdan 100 tour
Pari lor enn sel nimero24.0%63.7%93.5%
Pari lor de nimero42.6%87.1%99.6%
Pari lor kat nimero68.1%98.6%> 99.9%
Douzenn98.0%> 99.9%> 99.9%
Zero (spesifik)24.0%63.7%93.5%
1 − (1 − p)ᵏ.

Dispersion enn sesion

Ekar-tipmatematikEkar-tipRasinn kare varyans; distans tipik ant enn rezilta ek valer atandi.Lir tou → enn sesion 100 tour a $10 miz fix, par pari, avek mem rezilta atandi pou tou: −$27.

σ lor 100 tour a $10$
Pari lor enn sel nimero
$584
Pari lor de nimero
$409
Pari lor trwa nimero
$328
Pari lor kat nimero
$284
Pari lor sis nimero
$223
Douzenn / kolonn
$139
Peman egal
$100
$
0292$584

Kestion

Kifer EV parey lor tou lign?

Akoz sakenn peman vo 36/n − 1 kont enn peman zis 37/n − 1. Get paz lavantaz kazinomatematikLavantaz kazinoPart sak miz ki kazino gard an mwayenn: 2.70% dan roulet eropeen.Lir tou →.

Kot la partage?

Bann pari peman egalpariPari peman egalRouz/nwar, inper/per, ot/ba. 18 nimero, peye 1:1.Lir tou → lor enn latab franse: p ek peman pa sanze, EV −1.35%, σ ≈ 0.99.

Eski ena enn tablo pou rou amerikin?

Divize par 38 olie 37 ek kolonn EV vinn −5.26% lor tou lign, −7.89% pou pari lor sink nimero.

Enpe riye

Nef pari, enn sel valer atandi, zero memwar.

Nef pari, enn sel valer atandi, zero memwar.

Sours

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Sapit 13, roulet.
verifie 2026-09-28model: eropeen, enn sel zerometodolozi ↗sours ↗