Stɛp bay stɛp · Stɛp bay stɛp · 6 minit

Stɛp bay stɛp: rulɛt stratɛji wit tu dɔzin

Q: Tu dɔzin ɔ tu kɔlɔm?

Di sem matematiks: 24 nɔmba, +1 yunit we i kam, −2 we i nɔ kam. Kɔlɔm dɛn de sprɛd di nɔmba dɛn we yu kɔba ɔlsay pan di wil; dɔzin dɛn de gɛda dɛn pan di bɛt tebul. Natin pan dɛn nɔ mata.

Tɛn dɔla pan ɛni wan pan tu dɔzin, 24 nɔmba kɔba, fɔ fifti spin. Di rulɛt stratɛji fɔ tu dɔzin na di bɛt we kɔba bɔku nɔmba: i de win tu spin pan tri, bɔt i stil de kɔst 2.70%.

Shɔt ansa

Wan sɛshɔn we wi simyulet, 50 spin, $10 pan di fɔs ɛn di sɛkɔn dɔzin. Tati-wan win fɔ $10, nayntin lɔs fɔ $20 (tɔd dɔzin ɔ ziro). Nɛt rizɔlt na −$70, afta wi bin dɔn de +$90. Na di bɛt we de fil sef bikɔs i de win bɔku tɛm, bɔt dɛn pray am jɔs lɛk ɔl di ɔda wan dɛn.

fɔ ɛni spin

$20 pan 1–12 ɛn 13–24

i kɔba

24 pan 37

p(win)

64.9%

wetin fɔ ɛkspɛkt fɔ ɛni spin

−$0.54

Di plan: di rulɛt stratɛji fɔ tu dɔzin

$10 pan di fɔs dɔzinbɛtDɔzin1–12, 13–24 ɔ 25–36, i de pe 2:1.Rid ɔl → ɛn $10 pan di sɛkɔn wan. Nɔmba frɔm 1 to 24 de pe wan dɔzin $20 ɛn di ɔda wan lɔs $10: +$10. Nɔmba frɔm 25 to 36, ɔ 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 →, de mek di tu lɔs: −$20. 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 →: (24 × 10 − 13 × 20)/37 = −20/37 = −$0.54 fɔ ɛni spin, we na 2.70% pan $20. Di win ret na 64.9%, ɛn na da nɔmba de we de sɛl di bɛt.

Spin 1–25

Etin win, sɛvin lɔs: +$180 − $140 = +$40. Insay di sɛvin lɔs, ziro kam wan tɛm, ɛn tri tɔd-dɔzin nɔmba kam wan afta di ɔda na spin 11–13. Dat kɔst $60 wan tɛm, ɛn i fil lɛk se na sɔntin we nɔ kɔmɔn. Na di 35.1% we kam ɔl togɛda, ɛn na so i kin kam.

spininsay 1–24insay 25–36 ɔ 0nɛtbalans

1–1073+$10+$10

11–1303−$60−$50

14–25111+$90+$40

Tri nɔmba wan afta di ɔda frɔm di dɔzin we yu nɔ kɔba kɔst $60: di 35% we kam ɔl togɛda.

Spin 26–50

Tatin win, twɛlv lɔs: +$130 − $240 = −$110. Twɛlv lɔs insay 25 spin na sɔntin we kin apin 20% pan di tɛm; i nɔ rɛr. Di ɛnd na −$70; di ay pɔynt na +$90 na spin 31. Di bɛt nɔ ɛva mek big chenj ɛni we, bikɔs di win na $10 ɛn di lɔs na $20; i jɔs de grayn smɔl smɔl.

Dis sɛshɔn ɛn nayn ɔda wan dɛn we tan lɛk amrizɔlt pan di bigin

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 −$280
p75 −$40
p90 +$170

1,000 sɛshɔn × 500 spin · di y-aksis kɔt frɔm di 1 to di 99 pasɛntayl (di ɛn dɛn −$500 to +$980) · 500 spin · $20 fɔs bɛt · tu dɔzin

Tu dɔzin wit $20 ɔltogɛda: +$10 tu spin pan tri, −$20 wan spin pan tri. Smɔl varians; di avrej lain de go dɔŋ −$0.54 fɔ ɛni spin, di sem we lɛk $20 pan rɛd.

Di akawnt

Ɔl di mɔni we wi bɛt na $1,000 insay 50 spin. 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 → na $27; di rial wan na −$70, lɛk wan standad diviyeshɔnmatematiksStandad diviyeshɔnDi skwɛ rut fɔ varians; di nɔmal distans bitwin wan rizɔlt ɛn di valyu we fɔ ɛkspɛkt.Rid ɔl → ɔnda (σ fɔ ɛni spin na lɛk $14, so lɛk $100 insay 50 spin). Di sem $20 pan rɛdbɛtRɛdIvin-mɔni bɛt pan di 18 rɛd nɔmba. Na Frɛnch: rouge.Rid ɔl → bin fɔ gɛt di sem wetin fɔ ɛkspɛkt ɛn big σ, lɛk $140 fɔ di sɛshɔn: tu dɔzin na we fɔ lɔs di sem mɔni wit smɔl 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 →.

Wetin di sɛshɔn sho

If yu kɔba 24 nɔmba, rulɛt de fil lɛk gem we yu kin win mɔs tɛm, ɛn yu de win: 64.9% pan di spin dɛn. Bɔt dɛn sɛt 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 → so dat di 35.1% we yu lɔs de kɔst tu tɛm wetin di win dɛn de pe, ɛn di bɛt tebulikwipmɛntBɛt tebulDi bɛt grid we dɛn print pan di tebul. Dɛn kin kɔl am bak: tebul, felt, klɔt.Rid ɔl → dɔn fiks di rashio to −1/37 pan ɔl di bɛt mɔni. Ad wan 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 ziro fɔ “inshɔrans”, ɛn di advantej we mix stil na 2.70%, bikɔs dɛn pray di inshɔrans 2.70% tu. Di pej “Di prɔblɛm: Tu dɔzin ɛn wan chip” de wok am tru.

Kwɛstyɔn dɛn

Tu dɔzin ɔ tu kɔlɔm?

Di sem matematiks: 24 nɔmba, +1 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 → we i kam, −2 we i nɔ kam. KɔlɔmbɛtKɔlɔmTwɛlv nɔmba na wan kɔlɔm we tinap na di bɛt tebul, i de pe 2:1.Rid ɔl → dɛn de sprɛd di nɔmba dɛn we yu kɔba ɔlsay pan di wil; dɔzin dɛn de gɛda dɛn pan di bɛt tebul. Natin pan dɛn nɔ mata.

Ɛn wan chip pan ziro nɔ?

I de kɔba 25 nɔmba; naw ziro de gi +$15 nɛt instɛd fɔ −$20, ɛn i de kɔst $1 fɔ ɛni spin. Di valyu we fɔ ɛkspɛkt na −$0.57 pan $21, stil 2.70%.

64.9% nɔto “mɔs tɛm”?

Na mɔs tɛm, ɛn dɛn mɛzhɔ di pe fɔ fit am. Mɔs tɛm yu de win $10. Sɔntɛm yu de lɔs $20. Di avrej na di kasino advantejmatematiksKasino advantejDi pat pan ɛni bɛt mɔni we di kasino de kip pan avrej: 2.70% na Yuropian rulɛt.Rid ɔl →.

Smɔl jok fɔ ɛz di maynd

Win tu spin pan tri. Lɔs tu tɛm mɔ pan di tɔd wan. Wetin kɔmɔt na 2.70%.

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 ↗