Masamu a Roulette · Mfundo yaikulu · mphindi 8

Kusinthasintha

N’chifukwa chiyani straight up ndi betcha la zofiira okhala ndi kutayika koyembekezekamasamuKutayika koyembekezekaMtengo woyembekezeka kuchulukitsa ndi ndalama zonse zobetchedwa; kuchuluka kwapakati kwa ndalama zotayika mu gawo la masewera kapena nthawi inayake.Werengani yonse → kofanana amamveka ngati masewera osiyana.

Yankho lalifupi

Kusinthasintha kumayesa mmene zotsatira zimafalikira mozungulira mtengo woyembekezeka. Pa unit iliyonse yobetchedwa ndi pafupifupi 34 pa straight up ndi pafupifupi 1 pa zofiira.

straight up
σ² ≈ 34.1
zofiira
σ² ≈ 1.00
chiyerekezo
34×
kukula ndi N
molunjika (linear)

Fomula ya betcha limodzi

Pa betcha limene limalipira W ku 1 ndi kuthekeramasamuKuthekeraMwayi wa zotsatira, kuchokera 0 mpaka 1 kapena 0% mpaka 100%. Nambala imodzi: 1/37 = 2.70%.Werengani yonse → p, zotsatira pa unitndalamaUnitNdalama zobetcha zoyambira zimene dongosolo kapena wosewera amagwiritsa ntchito. Maprogression amafotokozedwa mu ma unit kuti agwire ntchito pa tebulo lililonse.Werengani yonse → iliyonse ndi +W ndi kuthekera p ndi −1 ndi kuthekera 1 − p. Mtengo woyembekezekamasamuMtengo woyembekezekaZotsatira zapakati pa betcha lililonse pa nthawi yayitali. −1/37 ya ndalama zobetcha pa betcha lililonse la ku Ulaya wamba.Werengani yonse → ndi pW − (1 − p) = −1/37. KusinthasinthamasamuKusinthasinthaMuyeso wa kufalikira kwa zotsatira kuzungulira mtengo woyembekezeka. Kwakukulu pa straight up, kochepa pa mabetcha a even-money.Werengani yonse → ndi E[X²] − EV² = pW² + (1 − p) − (1/37)². Pa straight upbetchaStraight upNambala imodzi, amalipira 35:1.Werengani yonse →: (1/37)(1225) + 36/37 − 0.0007 ≈ 34.08. Pa zofiirabetchaZofiiraBetcha la even-money pa manambala 18 ofiira. Mu Chifalansa: rouge.Werengani yonse →: 18/37 + 19/37 − 0.0007 ≈ 0.999.

betchapWkusinthasintha pa $1σ pa $1
Straight up1/373534.085.84
Split2/371716.704.09
Street3/371110.753.28
Kona4/3788.052.84
Six line6/3754.972.23
Dazeni12/3721.941.39
Even money18/3710.9991.00
EV yofanana pa mzere uliwonse. Kusinthasintha kumatsika pamene kuphimba kukukwera.

Tanthauzo lake pa gawo la masewera

Kusinthasintha kumaphatikizana pa kuzungulira kodziyimira payokhamasamuKuzungulira kodziyimira payokhaKuzungulira kulikonse kuli ndi kuthekera kofanana mosasamala kanthu za mbiri. Maziko a kuwerengera kulikonse pa tsamba lino.Werengani yonse →, choncho pa kuzungulira N ndi ndalama zobetcha zosasintha kusinthasintha kwa chiwerengero chonse ndi N × ndalama zobetcha² × σ², ndipo kupatuka kokhazikikamasamuKupatuka kokhazikikaMuzu wa sikweya wa kusinthasintha; mtunda wanthawi zonse wa zotsatira kuchokera ku mtengo woyembekezeka.Werengani yonse → ndi σ × ndalama zobetcha × √N. Kuzungulira 100 pa $10: kupatuka kokhazikika ndi pafupifupi $584 pa ma straight up ndi $100 pa zofiira, mozungulira −$27 yoyembekezeka yofanana. Wosewera mmodzi amaona zotsatira zikusinthasintha ndi mazana; winayo amaona kusuntha pang’onopang’ono. Onse akulipira mtengo wofanana.

Kupatuka kokhazikika kwa gawo la masewera la kuzungulira 100 pa $10$
Straight up
$584
Split
$409
Kona
$284
Six line
$223
Dazeni
$139
Even money
$100
$
0292$584
Zotsatira zoyembekezeka pa chilichonse: −$27.

Kuzungulira kwa Roulette Kodziyimira Payokha

Kusinthasintha ndi madongosolo

ProgressionnjiraProgressionLamulo lililonse limene limasintha ndalama zobetcha potengera zotsatira zakale. Maprogression olakwika amazikweza pambuyo poluza, abwino pambuyo popambana.Werengani yonse → sisintha EV pa unit iliyonse yobetchedwa koma imasintha ndalama zobetchedwa ndi mawonekedwe a kagawidwe ka zotsatira. MartingalenjiraMartingaleProgression yowirikiza betcha pambuyo poluza kulikonse. Onani gawo la Njira kuti mudziwe zimene imachita ndi zimene siimachita.Werengani yonse → imachepetsa kusinthasintha kwa magawo ambiri (kupambana kwazing’ono kambiri) ndipo imawonjezera mchira wonenepa (kutayika kwakukulu kosowa); kusinthasintha konse pa magawo onse ndi kokwera kuposa kwa kubetcha mofanananjiraKubetcha mofananaKubetcha ndalama zofanana pa kuzungulira kulikonse. Muyeso umene progression iliyonse imayerekezeredwa nawo.Werengani yonse → chifukwa cha mchira umenewo. ParolinjiraParoliProgression yabwino: wirikizani mutapambana, bwererani poyambira mutaluza kapena mutapambana katatu motsatizana. Imatchedwanso: reverse Martingale.Werengani yonse → imachita zosiyana. Kusankha dongosolo ndiko kusankha mawonekedwe a kusinthasintha; avareji sili pa zosankha.

Magawo khumi a straight up, $10 mofanana: kusinthasintha koonekazotsatira poyerekeza ndi poyambira
+$3,360$0−$500+$1,4400125250375500kuzungulirazotsatira
magawo 1,000 × kuzungulira 500 · wofiirira p10/p25/p75/p90, buluu wopepuka pakati, zitsanzo 83 zozimirira · sunthani pa tchati kuti muone ma quantile pa kuzungulira
  • p10 −$500
  • p25 −$500
  • pakati −$500
  • p75 +$40
  • p90 +$1,120
magawo 1,000 × kuzungulira 500 · mzere wa y wadulidwa pa peresentayilo ya 1–99 (monyanyira −$500 mpaka +$5,120) · kuzungulira 500 · loyambira $10 · straight up

Njira ya Roulette ya Kubetcha MofananaNjira ya Roulette ya Paroli (Martingale Yotembenuzidwa)

N’chifukwa chiyani zili zofunika kwa wosewera

Kusinthasintha ndiko kumene kumapangitsa magawo afupiafupi kukhala osadziwika ndi aatali kukhala odziwika. Ndi σ = $100 ndi EV = −$27 pa kuzungulira 100, phindu la kasino ndi kotala la phokoso ndipo gawo lopambana ndi lachizolowezi. Pa kuzungulira 10,000 EV ndi −$2,700 ndipo σ ndi $1,000; phindu la kasino tsopano lili pafupifupi kuwirikiza katatu phokoso ndipo nthawi yopambana ndi chochitika cha three-sigma. Kusinthasintha ndi bwenzi la wosewera pa nthawi yochepa ndipo la kasino pa nthawi yayitali.

Kusinthasintha kwa mabetcha ophatikizana

Pa mabetcha angapo pa kuzungulira komweko, zotsatira zimagwirizana (kugunda pa 17 kulinso kugunda pa zakudabetchaZakudaBetcha la even-money pa manambala 18 akuda. Mu Chifalansa: noir.Werengani yonse → ndi pa dazenibetchaDazeni1–12, 13–24 kapena 25–36, amalipira 2:1.Werengani yonse → lachiwiri), choncho kusinthasintha sikumangophatikizana. Chida cha Chopangira Mabetcha chimawerengera kagawidwe kenikeni ka gulu lililonse la machipindalamaChipiChizindikiro choimira ndalama yokhazikika, choikidwa pa dongosolo la mabetcha kuti mupange betcha. Chimatchedwanso: check.Werengani yonse → powerenga zotsatira zonse 37, ndipo imeneyo ndiyo njira yokhayo yolondola.

Chopangira Mabetcha

Fomula

Var = p·W² + (1 − p) − EV²
σ = √Var
σ_gawo = σ · ndalama zobetcha · √N

Mafunso

Kodi kusinthasintha kokwera kumatanthauza mwayi woipa?

Ayi. Betcha lililonse lili ndi mtengo woyembekezeka wofanana. Kusinthasintha kokwera kumatanthauza kusinthasintha kwakukulu mozungulira mtengowo.

Kodi ndi betcha liti limene lili ndi kusinthasintha kotsika kwambiri?

Mabetcha a even-moneybetchaBetcha la even-moneyZofiira/zakuda, osakhala awiriawiri/awiriawiri, okwera/otsika. Manambala 18, amalipira 1:1.Werengani yonse →, pa σ ≈ 1 pa unit iliyonse. Kotsika kwambiri ndi la partagelamuloLa partageLamulo la ku France: ziro ikatuluka, theka la ndalama zobetcha pa even-money limabwezedwa. Limachepetsa phindu la kasino ndi theka pa mabetcha amenewo kufika 1.35%.Werengani yonse →, imene imakonzanso avareji.

N’chifukwa chiyani makasino amalola mabetcha okhala ndi kusinthasintha kokwera?

Phindu loyembekezeka ndi lofanana pa dola iliyonse; kusinthasintha kumangokhudza mmene ndalama za kasino zimabwerera mosafanana, ndipo kasino ili ndi osewera masauzande ambiri oti zifanane.

Masamu Osangalatsa

Yesani nokha choyamba. Yankho lililonse labisika; litsegulireni mukakonzeka.

  1. Osewera awiri aliyense akubetcha $1 pa kuzungulira kulikonse kwa kuzungulira 100 pa gudumu la ku Ulaya, mmodzi nthawi zonse pa zofiirabetchaZofiiraBetcha la even-money pa manambala 18 ofiira. Mu Chifalansa: rouge.Werengani yonse →, wina nthawi zonse pa 17. Ndani ali ndi mwayi waukulu wokhala patsogolo pamapeto?

    Onetsani yankho

    Yankho Wosewera pa 17: 50.9%, poyerekeza ndi 35.5% ya zofiira. Onse awiri amataya $2.70 pa avareji.

    Zofiira: wosewera ali patsogolo ndi kupambana 51 kapena kuposerapo mwa 100, kulikonse ndi kuthekeramasamuKuthekeraMwayi wa zotsatira, kuchokera 0 mpaka 1 kapena 0% mpaka 100%. Nambala imodzi: 1/37 = 2.70%.Werengani yonse → kwa 18/37. Binomial distribution imapereka 35.5%, ndipo kupambana 50 ndendende, kufika pa ziro, 7.7% ina.

    Nambala 17: kupambana kulikonse kumabweza $36, choncho kupambana kawiri (−$28) sikukwanira ndipo katatu (+$8) kukukwanira. Kuthekera kogunda katatu kapena kuposerapo pa kuzungulira 100 pa 1/37 ndi 50.9%.

    Wosewera wa straight-up amakhala patsogolo kawirikawiri, koma zotsatira zimakhala zodumphadumpha: kugunda kamodzi kuposa kapena kucheperapo kumasuntha zotsatira ndi $36, ndipo osewera amene ali m’mbuyo kawirikawiri amakhala m’mbuyo kwambiri. Bollman (2024) akupereka manambala a ku America, 26.5% ndi 49.2%.

Nthabwala yopumitsa

Kutayika koyembekezeka kofanana. Mmodzi wa iwo amakuuzani mokweza.

Kutayika koyembekezeka kofanana. Mmodzi wa iwo amakuuzani mokweza.

Magwero

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Mutu 13, roulette.
  2. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, kope la 3, 1968. Gambler’s ruin, mutu XIV.
zinawunikidwa 2026-09-28chitsanzo: ya ku Ulaya, ziro imodzinjira zowerengera ↗magwero ↗