Ivin-mɔni bɛt dɛn pan Frɛnch tebul: p ɛn di pe nɔ chenj, EV na −1.35%, σ ≈ 0.99.

Rulɛt ɔds ɛn prɔbabiliti tebul

Ɛni standad bɛt wit in prɔbabiliti, in pe, in valyu we fɔ ɛkspɛktmatematiksValyu we fɔ ɛkspɛktDi avrej rizɔlt fɔ ɛni bɛt if yu ple lɔng tɛm. −1/37 fɔ di bɛt mɔni fɔ ɛni nɔmal Yuropian bɛt.Rid ɔl → ɛn in standad diviyeshɔn.

Shɔt ansa

Ɔl di bɛt dɛn gɛt di sem valyu we fɔ ɛkspɛkt, −2.70% pan di bɛt mɔni. Na di prɔbabiliti ɛn di sprɛd nɔmɔ mek dɛn difrɛn.

bɛt we de na di lis

EV, ɔl di bɛt dɛn

−2.70%

σ frɔm ɛn to

1.00 to 5.84

kɔl bɛt

2.70% bak

Aw fɔ rid dis rulɛt ɔds chat

PrɔbabilitimatematiksPrɔbabilitiDi chans fɔ wan rizɔlt, frɔm 0 to 1 ɔ frɔm 0% to 100%. Wan nɔmba: 1/37 = 2.70%.Rid ɔl → de tɛl yu ɔmɔs tɛm yu de win; di pemɔniPeWetin bɛt we win de gi yu, dɛn de tɔk am as “X to 1” ɔn tɔp di bɛt mɔni we kam bak.Rid ɔl →, we dɛn de kɔl rulɛt ɔds, de tɛl yu ɔmɔs; σ de tɛl yu aw di rod go bɔmp. Di EV kɔlɔm na di sem pan ɛni lain bikɔs na so dɛn mek di gem, so di tebul na rili mɛnu fɔ variansmatematiksVariansWan mɛzhɔ fɔ aw di rizɔlt dɛn sprɛd rawnd di valyu we fɔ ɛkspɛkt. I ay fɔ bɛt pan wan nɔmba, i lɔ fɔ ivin-mɔni bɛt.Rid ɔl → dɛn wit wan prays we nɔ de chenj.

bɛtnɔmba we i kɔbap(win)peσ fɔ ɛni $1

Bɛt pan wan nɔmba1/372.70%35:15.84

Split2/375.41%17:14.09

Strit3/378.11%11:13.28

Kɔna4/3710.81%8:12.84

Siks lain6/3716.22%5:12.23

Dɔzin12/3732.43%2:11.39

Kɔlɔm12/3732.43%2:11.39

Ivin mɔni18/3748.65%1:11.00

EV na −$0.027 fɔ ɛni $1 pan ɛni lain.

Kɔl bɛt dɛn

SɛktawilSɛktaPɔkit dɛn we de fala wan ɔda na wan pat fɔ di wil, nɔto grup na di bɛt tebul.Rid ɔl → bɛt dɛn na standad bɛt dɛn we dɛn jɔyn, ɛn dɛn de tek dɛn advantej. Ɛni wan gɛt in yon shep fɔ pe bikɔs di chip dɛnmɔniChipTokɛn we min wan sɛt mɔni; yu put am na di bɛt tebul fɔ mek bɛt. Dɛn kin kɔl am bak: check.Rid ɔl → nɔ de pan di nɔmba dɛn ivin.

kɔl bɛtchipnɔmba we i kɔbap(ɛni wan nak)nɛt pe if i nak (yunit)EV fɔ ɛni yunit

Nɛba dɛn (5)55/3713.51%+31−2.70%

Jeu zéro47/3718.92%+14 ɔ +32−2.70%

Orphelins58/3721.62%+13 ɔ +31−2.70%

Tiers du cylindre612/3732.43%+12−2.70%

Voisins du zéro917/3745.95%+9 ɔ +15−2.70%

Di valyu we fɔ ɛkspɛkt fɔ kɔl bɛt dɛn

Ova sɔm spin

Prɔbabiliti fɔ nak pan di lis wan tɛm insay k spin, fɔ sɔm kwɛstyɔn we pipul kin aks.

bɛtinsay 10 spininsay 37 spininsay 100 spin

Bɛt pan wan nɔmba24.0%63.7%93.5%

Split42.6%87.1%99.6%

Kɔna68.1%98.6%> 99.9%

Dɔzin98.0%> 99.9%> 99.9%

Ziro (in wan)24.0%63.7%93.5%

1 − (1 − p)ᵏ.

Sprɛd fɔ sɛshɔn

Standad diviyeshɔnmatematiksStandad diviyeshɔnDi skwɛ rut fɔ varians; di nɔmal distans bitwin wan rizɔlt ɛn di valyu we fɔ ɛkspɛkt.Rid ɔl → fɔ sɛshɔn fɔ 100 spin wit di sem $10 ɔltɛm, fɔ ɛni bɛt, wit di rizɔlt we fɔ ɛkspɛkt we ɔl gɛt: −$27.

σ fɔ 100 spin wit $10$

Bɛt pan wan nɔmba

$584

Split

$409

Strit

$328

Kɔna

$284

Siks lain

$223

Dɔzin / kɔlɔm

$139

Ivin mɔni

$100

0292$584

Kwɛstyɔn dɛn

Wetin mek EV na di sem pan ɛni lain?

Bikɔs ɛni pe na 36/n − 1, we di fɛr pe fɔ bi 37/n − 1. Luk di pej fɔ kasino advantejmatematiksKasino advantejDi pat pan ɛni bɛt mɔni we di kasino de kip pan avrej: 2.70% na Yuropian rulɛt.Rid ɔl →.

Usay la partage de?

Ivin-mɔni bɛt dɛnbɛtIvin-mɔni bɛtRɛd/blak, ɔd/ivin, ay/lɔ. 18 nɔmba, i de pe 1:1.Rid ɔl → pan Frɛnch tebul: p ɛn di pe nɔ chenj, EV na −1.35%, σ ≈ 0.99.

Tebul de fɔ di Amɛrikan wil?

Divayd bay 38 instɛd fɔ 37, ɛn di EV kɔlɔm go tɔn −5.26% pan ɛni lain, ɛn −7.89% fɔ di bɛt pan fayv nɔmba.

Smɔl jok fɔ ɛz di maynd

$Nayn bɛt, wan valyu we fɔ ɛkspɛkt, ɛn nɔ mɛmori.$

Nayn bɛt, wan valyu we fɔ ɛkspɛkt, ɛn nɔ mɛmori.

Usay wi gɛt am frɔm

Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chapta 13, rulɛt.

wi chɛk am 2026-09-28mɔdɛl: Yuropian, wan ziromɛtɔdɔlɔji ↗usay wi gɛt am frɔm ↗