Twv liab lossis dub hauv roulette
Hauv roulette, liab lossis dub npog kaum yim tus lej uas muaj ib xim: nws yog tus qauv ntawm kev twv them sib npaug.

Kaum yim tus lej, them 1:1. Feem tshwm sim 48.65%, tsis yog 50%: xoom yog qhov sib txawv.
Qhov chaw tso
Lub thawv pob zeb diamond liabkev twvLiabKev twv them sib npaug rau 18 tus lej liab. Lus Fabkis: rouge.Nyeem tag nrho → thiab lub thawv pob zeb diamond dubkev twvDubKev twv them sib npaug rau 18 tus lej dub. Lus Fabkis: noir.Nyeem tag nrho → nyob hauv cov kev twv sab nraudkev twvKev twv sab nraudKev twv rau cov thawv uas puag ncig daim duab lej: pawg kaum ob, kab ntsug thiab kev twv them sib npaug.Nyeem tag nrho →, lossis cov lo lus rouge thiab noir ntawm daim duab rooj twvkhoom sivDaim duab rooj twvDaim duab twv uas luam rau saum lub rooj. Kuj hu ua: rooj, ntaub ntsuab, ntaub.Nyeem tag nrho → Fabkis. Txhua lub yuav tsum txog ciam tsawg tshaj ntawm lub rooj. Cov lej liab: 1 3 5 7 9 12 14 16 18 19 21 23 25 27 30 32 34 36. Dub: kaum yim tus seem. Xoomlub logXoomTib lub qhov ntsuab uas tsis muaj kev twv them sib npaug, pawg kaum ob los yog kab ntsug twg npog; yog qhov uas feem tsev twv txiaj los ntawm. Kuj hu ua: ib lub xoom, 0.Nyeem tag nrho → yog xim ntsuab thiab tsis yog ib qho twg.
Nyiaj them thiab feem yeej hauv roulette rau liab lossis dub
Feem ncaj ncees rau 18 ntawm 37 yog 1.056 rau 1; lub rooj them 1. Yog koj twv $10 rau liab hauv roulette thiab nws raug, koj tau $10. Raws qhov nruab nrab, hauv 37 zaus kiv: 18 zaug yeej (+$180), 18 zaug poob (−$180), ib zaug xoom (−$10). Tag nrho −$10 ntawm $370.
Kab ke sib law liag
Liab thiab dub sib hloov ntawm lub log tab sis tsis sib hloov raws sij hawm. Kaum zaug liab sib law liag muaj feem tshwm simlejFeem tshwm simFeem uas ib qhov tshwm sim yuav muaj, txij 0 txog 1 los yog 0% txog 100%. Ib tus lej: 1/37 = 2.70%.Nyeem tag nrho → (18/37)¹⁰ = 0.074%, kwv yees li ib zaug ntawm txhua 1,350 ntu kaum zaus kiv; hauv ib lub tsev twv txiaj uas muaj nees nkaum lub rooj kiv 50 zaus ib teev, nws tshwm sim qhov twg ib qho yuav luag txhua hnub. Tsis muaj ib yam ntawm qhov ntawd qhia dab tsi txog zaus kiv thib kaum ib, uas yog liab 18/37 ib yam li txhua zaus kiv dhau los.
Feem tshwm sim ntawm cov xov tawm sib law liag hauv roulette
Vim li cas cov txheej txheem nyob ntawm no
Liab/dub yog qhov ze tshaj uas lub rooj muaj rau kev pov npib, yog li ntawd nws yog lub hauv paus rau kev nce nyiaj twvtswv yimKev nce nyiaj twvTxhua txoj cai uas hloov nyiaj twv raws cov qhov tshwm sim dhau los. Kev nce rau sab poob (negative) tsa nyiaj twv tom qab poob; kev nce rau sab yeej (positive) tsa tom qab yeej.Nyeem tag nrho →: Martingaletswv yimMartingaleKev nce nyiaj twv uas muab nyiaj twv ntxiv ob npaug tom qab txhua zaus poob. Saib ntu Tswv yim txog qhov nws ua tau thiab qhov nws ua tsis tau.Nyeem tag nrho →, D’Alembert, Fibonaccitswv yimFibonacciKev nce nyiaj twv uas ua raws kab lej 1, 1, 2, 3, 5, 8, 13…: mus tom ntej ib kauj ruam tom qab poob, rov qab ob kauj ruam tom qab yeej.Nyeem tag nrho →, Labouchèretswv yimLabouchèreTxheej txheem tshem lej: sau ib kab lej, twv tus lej ntxiv ntawm ob sab kawg, tshem lawv tom qab yeej, ntxiv tus nyiaj twv uas poob tom qab poob.Nyeem tag nrho → thiab Parolitswv yimParoliKev nce rau sab yeej: ob npaug tom qab yeej, pib dua tom qab poob los yog tom qab yeej peb zaug sib law liag. Kuj hu ua: Martingale rov qab.Nyeem tag nrho → txhua tus xav tias yog kev twv them sib npaugkev twvKev twv them sib npaugLiab/dub, khib/txawm, siab/qis. 18 tus lej, them 1:1.Nyeem tag nrho →. Txhua tus muaj nyiaj yuav poob raws nruab nrablejNyiaj yuav poob raws nruab nrabNqi xav tias yuav tau muab sib npaug rau tag nrho cov nyiaj twv; cov nyiaj nruab nrab uas poob hauv ib zaug ua si lossis ib lub sij hawm.Nyeem tag nrho → 2.70% ntawm tag nrho nyiaj twvnyiajTag nrho nyiaj twvTag nrho cov nyiaj uas twv hauv ib zaug ua si los yog ib lub sij hawm, suav nrog nyiaj yeej uas twv dua. Kuj hu ua: handle, action.Nyeem tag nrho → rau qhov twv no, 1.35% ntawm lub rooj la partagetxoj caiLa partageTxoj cai Fabkis: thaum xoom tawm, ib nrab ntawm nyiaj twv them sib npaug raug xa rov qab. Txiav feem tsev twv txiaj ntawm cov kev twv ntawd ib nrab mus rau 1.35%.Nyeem tag nrho →. Cov nplooj ntawv tswv yim qhia tias txhua tus ua li cas rau lub duab ntawm ib zaus ua si.
- p10 −$420
- p25 −$280
- median −$140
- p75 +$20
- p90 +$140
Tswv yim Fibonacci hauv rouletteTswv yim Labouchère hauv roulette
Cov cai Fabkis
Nrog la partage lossis en prisontxoj caiEn prisonTxoj cai Fabkis: thaum xoom tawm, kev twv them sib npaug raug khaws cia rau zaus kiv tom ntej es tsis poob. Txiav feem tsev twv txiaj ib nrab rau cov kev twv ntawd.Nyeem tag nrho → feem tsev twv txiaj rau qhov twv no txo ib nrab mus rau 1.35%. Qhov ntawd yog qhov tseeb muaj nqis tshaj ntawm nplooj ntawv no: yog koj yuav twv liab, nrhiav ib lub rooj Fabkis.

Kab ke xyoo 1913
Hnub tim 18 lub Yim Hli xyoo 1913 hauv Monte Carlo, dub tawm 26 zaug sib law liag. Cov neeg ua si coob coob tuaj puag lub rooj txij li zaug dub thib kaum tsib mus, twv liab vim lawv xav tias “txog sij hawm” nws yuav tawm lawm, thiab poob ntau lab franc. Feem tshwm sim ntawm 26 zaug dub yog (18/37)²⁶, kwv yees li ib ntawm 137 lab; feem tias ib tug neeg, nyob qhov twg ib qho, thaum kawg yuav pom nws yog ib.
Cov lus nug
Tsis yog. Txhua xim muaj 18.
Liab, ntau dua me ntsis, raws li feem ntau cov kev tshawb fawb txog tus cwj pwm ntawm lub rooj uas luam tawm. Nws tsis hloov dab tsi li.
Yog, sib hloov zoo kawg nkaus. Ntawm daim duab rooj twv lawv zoo li nyob tawg vim daim duab rooj twv teem raws kev suav lej.
Lus lom zem

Lub log tsis muaj kev nco. Cov neeg ua si nco ntau dhau.
Qhov chaw los
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Schwartz, D. G. Roll the Bones: The History of Gambling.