Lɔs we fɔ ɛkspɛkt
Valyu we fɔ ɛkspɛkt tɛm ɔl di mɔni we yu bɛt: wetin di sɛshɔn de kɔst pan avrej.

Lɔs we fɔ ɛkspɛkt = ɔl di mɔni we yu bɛt × 1/37. Bɛt mɔni $10, 100 spin: $1,000 we yu bɛt, $27 lɔs we fɔ ɛkspɛkt. Prɔgrɛshɔn dɛn de bɛt mɔ, so dɛn de lɔs mɔ.
Ɔl di mɔni we yu bɛt, nɔto yu gambul mɔni
Lɔs we fɔ ɛkspɛktmatematiksLɔs we fɔ ɛkspɛktValyu we fɔ ɛkspɛkt tɛm ɔl di mɔni we yu bɛt; di avrej mɔni we yu de lɔs insay wan sɛshɔn ɔ wan tɛm.Rid ɔl → de dipen pan ɔmɔs mɔni de pas pan di tebul, nɔto pan ɔmɔs yu bin kam wit. $100 gambul mɔnimɔniGambul mɔniƆl di mɔni we yu dɔn put asay fɔ ple. Fɔ manej yu gambul mɔni min fɔ disayd ɔmɔs pan am yu go risk fɔ ɛni bɛt ɛn fɔ ɛni sɛshɔn.Rid ɔl → we yu bɛt bak bɔku tɛm kin kɛr $2,000 fɔ ɔl di mɔni we yu bɛtmɔniƆl di bɛt mɔniƆl di mɔni we yu bɛt na wan sɛshɔn ɔ wan tɛm, wit di win mɔni we yu bɛt bak. Dɛn kin kɔl am bak: handle, action.Rid ɔl → ɛn $54 fɔ lɔs we fɔ ɛkspɛkt; $10,000 gambul mɔni we yu bɛt wan tɛm pan rɛdbɛtRɛdIvin-mɔni bɛt pan di 18 rɛd nɔmba. Na Frɛnch: rouge.Rid ɔl → de kɛr $10,000 fɔ ɔl di mɔni we yu bɛt ɛn $270. Di kasino in mɔni na tol pan trafik, ɛn di trafik na ɛni chipmɔniChipTokɛn we min wan sɛt mɔni; yu put am na di bɛt tebul fɔ mek bɛt. Dɛn kin kɔl am bak: check.Rid ɔl → pan ɛni spin.
Di fɔmula
E[lɔs] = Σ bɛt mɔni / 37. Fɔ pɔsin we de bɛt di sem mɔni ɔltɛm, dat na bɛt mɔni × spin / 37. Fɔ prɔgrɛshɔnstratɛjiPrɔgrɛshɔnƐni rul we de chenj di bɛt mɔni bay di rizɔlt dɛn we dɔn pas. Nɛgativ prɔgrɛshɔn de es am afta lɔs, pɔzitiv wan afta win.Rid ɔl →, na di avrej bɛt mɔni × spin / 37, ɛn di avrej bɛt mɔni ay pas di bigin bɛt, bikɔs di bɛt mɔni de go ɔp we yu de lɔs. MartingalestratɛjiMartingalePrɔgrɛshɔn we de dɔbul di bɛt afta ɛni lɔs. Luk di Stratɛji pat fɔ si wetin i de du ɛn wetin i nɔ de du.Rid ɔl → frɔm $10 bigin bɛt wit $500 limit de bɛt lɛk $28 pan ɛni spin pan avrej fɔ lɔng sɛshɔn. So i de lɔs ɔlmɔs tri tɛm pas fɔ bɛt $10 ɔltɛm, ɛn i nɔ chenj di ɔds fɔ ɛni wan bɛt.
Spid
Layv tebul de rɔn 40–60 spin pan awa, kasino flɔ 30–50, kwik tebul 90 ɔ mɔ, ɛn RNG tebul de go kwik lɛk aw yu de klik. Wit di sem bɛt mɔni, spid na di wan tin we de chenj lɔs we fɔ ɛkspɛkt pan awa pas ɔl: fɔ go frɔm slo kasino tebul to RNG tebul we yu ple 200 spin pan awa de mek di ivintɛm kɔst fɔ tɛm mɔ, ɛn di ɔds nɔ chenj atɔl.
Fɔ wan ia
Pɔsin we kin ple ɔltɛm, tu awa ɛni wik wit $10 pan layv tebul we de rɔn 50 spin pan awa, de bɛt $52,000 ɔlsay fɔ wan ia ɛn de pe lɛk $1,400 fɔ lɔs we fɔ ɛkspɛkt pan Yuropian wil, $700 pan Frɛnch wan, $2,700 pan Amɛrikan wan. Di kalkul nɔ swit, bɔt di ɛnd impɔtant: di wil ɛn di tebul we yu pik valyu pas ɛni sistɛm bay infiniti tɛm, bikɔs sistɛm valyu rayt rayt zirowilZiroDi wan grin pɔkit we nɔ ivin-mɔni, dɔzin ɔ kɔlɔm bɛt nɔ kɔba; na usay di kasino advantej kɔmɔt. Dɛn kin kɔl am bak: wan ziro, 0.Rid ɔl →.
Gem we valyu pas ɛni bank
Di St. Petersburg gem, we Nicolaus Bernoulli bin aks na 1713, de trowe kɔpɔ te i fɔdɔm pan ed. I de pe $2 if dat tek wan trowe, $4 if tu, $8 if tri, ɛn i de dɔbul ɛni tɛm. Ɛni lɛnt we kin apin de ad $1 to di 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 →, so pan pepa di gem valyu mɔni we nɔ gɛt ɛnd. Nɔ bank nɔ kin pe prayz we nɔ gɛt ɛnd, ɛn wans dɛn kɔt di prayz dɛn to wetin di bank gɛt, di valyu de fɔdɔm: wit bank we gɛt $1 milyɔn, di gem valyu lɛk $21, wit $1 biliɔn lɛk $31. Di Martingale na di sem gem we yu luk frɔm di ɔda say. I de win wan yunitmɔniYunitDi bes bɛt mɔni we sistɛm ɔ pleya de wok wit. Dɛn de ɛksplen prɔgrɛshɔn wit yunit so dat i go wok na ɛni tebul.Rid ɔl → ɔlmɔs ɛni sakul ɛn i de lɔs ɔl pan lɔng strik we nɔ kin apin bɔku. If limit nɔ de, bigin bigin win fɔ pe fɔ di lɔng strik dɛn; if limit de, dɛn nɔ de pe. Na dat mek di tebul limittebulTebul limitDi smɔl ɛn di big bɛt we dɛn alaw. Na di big limit de stɔp prɔgrɛshɔn dɛn we de dɔbul.Rid ɔl → de disayd aw Martingale go fel, bɔt nɔto if i go fel.

Lɔs we fɔ ɛkspɛkt nɔto di rizɔlt
Ɛni wan sɛshɔn go difrɛn frɔm in lɔs we fɔ ɛkspɛkt, bɔku tɛm bay mɔ pas di lɔs we fɔ ɛkspɛkt insɛf. Fɔ 100 ivin-mɔni spin wit $10, di standad diviyeshɔnmatematiksStandad diviyeshɔnDi skwɛ rut fɔ varians; di nɔmal distans bitwin wan rizɔlt ɛn di valyu we fɔ ɛkspɛkt.Rid ɔl → na $100 agens −$27 we fɔ ɛkspɛkt; sɛshɔn we yu win na nɔmal tin. Di lɔs we fɔ ɛkspɛkt na di prays; di 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 → na di pakej; di rizɔlt fɔ wan nɛt na sampul fɔ wan.
Fɔmula
Kwɛstyɔn dɛn
Nɔ. 2.70% fɔ ɔl wetin yu bɛt. If yu bɛt yu win mɔni bak, yu dɔn bɛt am wan tɛm bak.
Pan ɛni awa, yɛs, wit di sem spid. Pan ɛni tagɛt we yu rich, nɔ: luk denja fɔ lɔs ɔlmatematiksDenja fɔ lɔs ɔlDi prɔbabiliti fɔ lɔs ɔl yu gambul mɔni bifo yu rich yu tagɛt ɔ di nɔmba fɔ spin.Rid ɔl →.
Kasino de tink ɔmɔs na yu lɔs we fɔ ɛkspɛkt frɔm yu avrej bɛt ɛn di tɛm we yu ple, ɛn dɛn de gi yu smɔl pat bak lɛk kɔmp. Dɛn de gi yu bak pat fɔ di prays, dɛn nɔ de gi yu advantej.
Smɔl jok fɔ ɛz di maynd

Ɔl di mɔni we yu bɛt × 1/37. Di klɔk de insay di fɔmula.
Usay wi gɛt am frɔm
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.
- Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed.