Rulɛt matematiks · Fɔ yuz am · 7 minit

Aw di sɛshɔn lɔng ɛn ɔmɔs i de kɔst

Aw lɔng gambul mɔni go las wit wan bɛt mɔni, ɛn wetin di awa dɛn de kɔst. Di nɔmba dɛn we bɔku pleya nɔ de ɛva kalkul, bɔt we bɔku pan dɛn fɔ kalkul.

Shɔt ansa

If yu bɛt di sem ivin mɔni ɔltɛm, di gambul mɔni de las, pan avrej, 37 spin fɔ ɛni bɛt mɔni we de insay am, ilɛk af pan ɔl di sɛshɔn dɛn de dɔn kwik pas dat; di kɔst we fɔ ɛkspɛkt fɔ ɛni awa na bɛt mɔni × spin pan awa / 37. Dɛn tu togɛda de mek yu no di prays fɔ wan ivintɛm bifo i bigin.

tɛm te yu lɔs ɔl, ivin mɔni
37 × B/s spin, pan avrej
$500 wit $10
≈ 1,364 spin, midul valyu
kɔst fɔ ɛni awa
s × spin/awa / 37
$10 wit 50/awa
$13.51 fɔ ɛni awa

Aw lɔng gambul mɔni de las

Wit 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 → B ɛn di sem ivin-mɔni bɛt mɔni s ɔltɛm, di gambul mɔni de go dɔŋ bay s/37 fɔ ɛni spin pan avrej, ɛn i de swing bay lɛk s fɔ ɛni spin, ɔp ɔ dɔŋ. Na di slo go dɔŋ nɔmɔ de sɛt di avrej: di gambul mɔni de las 37 × B/s spin, bikɔs na dat lɔng i de tek fɔ lɔs B wit s/37 fɔ ɛni spin. Di swing dɛn de mek di lɔng nɔ ivin. Sɔm sɛshɔn de day ali wit bad strik, sɔm smɔl wan de las lɔng lɔng, ɛn di midul valyu, di lɔng we af pan ɔl di sɛshɔn dɛn nɔ de rich, de ɔnda di avrej. Gambul mɔni fɔ $500 wit $10 (B/s = 50) de las 1,850 spin pan avrej ɛn 1,364 na di midul valyu, lɛk 27 awa na layv tebul. Wit $50 (B/s = 10), di midul valyu na 136 spin, smɔl pas tri awa.

gambul mɔnibɛt mɔniB/smidul valyu fɔ spin te yu lɔs ɔl (ivin mɔni)wit 50 spin/awaavrej spin te yu lɔs ɔl
$500$51003,134≈ 63 awa3,700
$500$10501,364≈ 27 awa1,850
$500$2520394≈ 8 awa740
$500$5010136≈ 2 awa 45 minit370
$500$100541≈ 50 minit185
$100$1010136≈ 2 awa 45 minit370
Ɛgzakt nɔmba, fɔ bɛt di sem mɔni ɔltɛm pan rɛd pan Yuropian wil, we no rul fɔ stɔp nɔ de. Bɛt pan wan nɔmba de mek yu lɔs ɔl kwik pas pan ɛni lain bikɔs di varians ay pas.
Di sem gambul mɔni, di sem bɛt mɔni: sɔm sɛshɔn de dɔn ali, sɔm smɔl wan de rɔn lɔng lɔng, ɛn di midul valyu de ɔnda di avrej.

Wetin di awa dɛn de kɔst

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 → fɔ ɛni awa = bɛt mɔni × spin pan awa / 37. Di tu nɔmba we yu de kɔntrol na di bɛt mɔni ɛn aw fast di gem de go. Pɔsin we de bɛt $10 wit 50 spin fɔ ɛni awa de pe $13.51 fɔ ɛni awa pan Yuropian tebul, $6.76 pan Frɛnch tebul, $27 pan kwik tebul. Disayd ɔmɔs wan awa fɔ rulɛt valyu to yu, ɛn di bɛt mɔni go kɔmɔt de.

Lɔs we fɔ ɛkspɛkt fɔ ɛni awa wit $10 fɔ ɛni spin$ fɔ ɛni awa
Kasino flɔ · 40/awa
$10.81
Layv tebul · 55/awa
$14.86
Kwik layv · 100/awa
$27.03
RNG · 200/awa
$54.05
$ fɔ ɛni awa
027.03$54.05
bɛt mɔni × spin pan awa / 37. Aw fast di gem de go na di big big tin we de chenj wetin wan awa de kɔst.

Frɛnch rulɛt

Put dɛn togɛda

Pleya we gɛt $500 ɛn we want ivintɛm fɔ fɔ awa na layv tebul wit 50 spin (200 spin) ɛn we nɔ want lɔs ɔl, nɔ fɔ bɛt pas lɛk $25 (B/s = 20, midul valyu fɔ lɔs ɔl na 394 spin). Di kɔst we fɔ ɛkspɛkt fɔ di ivintɛm na 200 × $25 / 37 = $135. If $135 tu bɔku, di bɛt mɔni de go dɔŋ ɛn di ivintɛm de tɔn sef ɛn chip togɛda: wit $10, di kɔst we fɔ ɛkspɛkt na $54 ɛn fɔ lɔs ɔl bifo 200 spin nɔ de apin bɔku.

Twɛlv ivintɛm fɔ fɔ awa, $500 wit $25 pan rɛdrizɔlt pan di bigin
+$1,050$0−$500+$400−$2500125250375500spinrizɔlt
1,000 sɛshɔn × 500 spin · vayolɛt p10/p25/p75/p90, layt blu midul valyu, 82 sampul we nɔ dak · muf pan di chat fɔ si di pasɛntayl dɛn fɔ wan spin
  • p10 −$500
  • p25 −$500
  • midul valyu −$500
  • p75 −$50
  • p90 +$350
1,000 sɛshɔn × 500 spin · di y-aksis kɔt frɔm di 1 to di 99 pasɛntayl (di ɛn dɛn −$500 to +$1,700) · 500 spin · $25 fɔs bɛt · ivin mɔni
Ɛnd we fɔ ɛkspɛkt: −$135. Bɔku pan di lain dɛn de sav; lɛk wan ivintɛm insay fɔ de tɔch ziro. Wit $10, lɛk wan insay 700 go tɔch am.

Sɛshɔn wit bɛt pan wan nɔmba

Fɔ bɛt pan wan nɔmbabɛtBɛt pan wan nɔmbaWan nɔmba nɔmɔ, i de pe 35:1.Rid ɔl →, di bɛt mɔni fɔ smɔl pas fɔ di sem lɔng sɛshɔn: σ fɔ ɛni 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 → na 5.84, we fɔ rɛdbɛtRɛdIvin-mɔni bɛt pan di 18 rɛd nɔmba. Na Frɛnch: rouge.Rid ɔl → na lɛk 1, so di gambul mɔni fɔ kɔba lɔng tɛm we natin nɔ de kam. Fɔ gɛt midul valyu fɔ 200 spin, yu nid B/s fɔ lɛk 13 pan rɛd ɛn lɛk 56 pan wan nɔmba, lɛk fɔ tɛm mɔ bɛt mɔni. Gambul mɔni fɔ $500 we fɔ las 200 spin fɔ bɛt pan wan nɔmba na di midul valyu nid bɛt mɔni nia $9. Pleya dɛn we de bɛt $25 pan wan nɔmba frɔm $500 de bay shɔt ivintɛm we gɛt big nɔys: twɛnti mis wan afta di ɔda de dɔn am, ɛn dat de apin mɔ pas af di tɛm.

Di prays lis we tɛl di tru

Rulɛt de kɔst bɛt mɔni × spin / 37. Ɔltin ɔda, di sistɛm, di lɔki nɔmba, di we fɔ kɔba yusɛf, de disayd di shep fɔ di ivintɛm ɛn nɔto in prays. Pleya we kalkul di prays fɔs ɛn pik bɛt mɔni we i gladi fɔ pe dɔn du di wan pat fɔ stratɛji we de wok.

Fɔmula

E[kɔst fɔ ɛni awa] = s × spin/awa / 37
avrej spin te yu lɔs ɔl = 37 × B/s fɔ ivin mɔni
bɛt pan wan nɔmba: mɔltiplay di B/s we yu nid bay ≈ 4

Kwɛstyɔn dɛn

Simpul fɔmula de fɔ di midul valyu?

Nɔto wan we ɛgzakt. Fɔ smɔl gambul mɔni, di swing dɛn de rul ɛn di midul valyu de gro lɛk (B/s)², lɛk fɔ fɛr kɔyn. Fɔ big wan, di advantej de rul ɛn di midul valyu de kam nia di avrej, 37 × B/s. Wit lɛk 20 bɛt mɔni, di (B/s)² rul jɔs apin fɔ gri wit di ɛgzakt midul valyu, 394 spin; ɔnda dat i de kam shɔt ɛn ɔp dat i de kam lɔng.

Lɔs limit de chenj di kɔst?

I de sɛt limit fɔ di wɔs tin we kin apin ɛn i de mek di sɛshɔn shɔt, ɛn dat de rɛdyus di lɔs we fɔ ɛkspɛkt akɔdin to di spin dɛn we yu nɔ ple.

Wetin bɔt la partage?

I de kɔt di kɔst fɔ ɛni awa na af pan ivin-mɔni bɛt dɛnbɛtIvin-mɔni bɛtRɛd/blak, ɔd/ivin, ay/lɔ. 18 nɔmba, i de pe 1:1.Rid ɔl → ɛn i de dɔbul di avrej tɛm te yu lɔs ɔl, to 74 × B/s spin.

Ple wit Mat

Tray dɛn yusɛf fɔs. Ɛni ansa de ayd; opin am we yu rɛdi.

  1. Yu bɛt $500 pan rɛdbɛtRɛdIvin-mɔni bɛt pan di 18 rɛd nɔmba. Na Frɛnch: rouge.Rid ɔl →, $10 ɛni tɛm, pan Yuropian wil, ɛn yu nɔ gɛt rul fɔ stɔp. Pan avrej, ɔmɔs spin di 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 → go las?

    Sho di ansa

    Ansa 1,850 spin: 37 spin fɔ ɛni wan pan di 50 bɛt mɔni.

    Ɛni spin de kɔst, pan avrej, 1/37 pan di bɛt mɔni: $10/37, lɛk 27 sɛnt. Di gambul mɔni kin pe 50 bɛt, ɛn fɔ lɔs 50 bɛt mɔni bay 1/37 pan wan bɛt ɛni spin de tek 50 × 37 = 1,850 spin.

    Di ɔp ɛn dɔŋ nɔ de chenj dis avrej, bikɔs sɛshɔn kin ɛnd ɔnli na ziro ɛn ɛni spin bifo dat de kɔst di sem 27 sɛnt pan avrej. Wetin dɛn de chenj na aw di rizɔlt dɛn de sprɛd: af pan ɔl di sɛshɔn dɔn bifo spin 1,364, ɛn lɛk wan insay twɛnti de pas 5,000, ɛn dat de pul di avrej go ɔp.

    Epstein (2013) gi di jɛnɛral rul: if di kasino nɔ ɛva de rɔn aut fɔ mɔni, gambul mɔni fɔ z bɛt de las z we yu sheb am bay di advantej pan ɛni spin. Pan Amɛrikan wil, usay ivin mɔni de lɔs 1/19 pan di bɛt mɔni ɛni spin, di sem $500 de las 950 spin pan avrej.

Smɔl jok fɔ ɛz di maynd

Bɛt mɔni × spin / 37. No di prays fɔ di ivintɛm bifo i bigin.

Bɛt mɔni × spin / 37. No di prays fɔ di ivintɛm bifo i bigin.

Usay wi gɛt am frɔm

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968. Gambula in rɔin, chapta XIV.
  2. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chapta 13, rulɛt.
  3. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
wi chɛk am 2026-09-28mɔdɛl: Yuropian, wan ziromɛtɔdɔlɔji ↗usay wi gɛt am frɔm ↗