Phindu la Kasino mu Roulette
Gawo la ndalama zobetcha zilizonse limene kasino imasunga pa avareji.

Roulette ya ku Ulaya: 2.70% pa betcha lililonse lokhazikika, chifukwa malipiro amawerengedwa ngati kuti pali tibowo 36 pamene pali 37.
Kumene kumachokera
Mwayi wachilungamo wa straight upbetchaStraight upNambala imodzi, amalipira 35:1.Werengani yonse → ukanakhala 36 ku 1, chifukwa pali njira 36 zoluza pa njira imodzi iliyonse yopambana. Kasino imalipira 35 ku 1. UnitndalamaUnitNdalama zobetcha zoyambira zimene dongosolo kapena wosewera amagwiritsa ntchito. Maprogression amafotokozedwa mu ma unit kuti agwire ntchito pa tebulo lililonse.Werengani yonse → yosowayo, yogawidwa pa zotsatira 37 zokhala ndi kuthekera kofanana, ndi 1/37 = 2.70% ya ndalama zobetcha pa kuzungulira kulikonse. Chosowa chomwechi chimaonekera mu malipirondalamaMalipiroZimene betcha lopambana limabweza, zotchulidwa ngati “X ku 1” kuwonjezera pa ndalama zobetcha zobwezedwa.Werengani yonse → aliwonse chifukwa malipiro onse amagwiritsa ntchito lamulo la 36/n − 1: splitbetchaSplitManambala awiri oyandikana, amalipira 17:1.Werengani yonse → imalipira 17 m’malo mwa 17.5, dazenibetchaDazeni1–12, 13–24 kapena 25–36, amalipira 2:1.Werengani yonse → 2 m’malo mwa 2.083, zofiirabetchaZofiiraBetcha la even-money pa manambala 18 ofiira. Mu Chifalansa: rouge.Werengani yonse → 1 m’malo mwa 1.056. Kusiyana nthawi zonse ndi 1/n ya unit pa kupambana kulikonse, ndipo kupambana n/37 pa kuzungulira kulikonse, choncho nthawi zonse ndi 1/37 pa kuzungulira kulikonse.
Phindu la kasino poyerekeza ndi hold
Phindu la kasino ndi kutayika koyembekezekamasamuKutayika koyembekezekaMtengo woyembekezeka kuchulukitsa ndi ndalama zonse zobetchedwa; kuchuluka kwapakati kwa ndalama zotayika mu gawo la masewera kapena nthawi inayake.Werengani yonse → pa unit iliyonse yobetchedwa: 2.70% pa kuzungulira kulikonse. HoldndalamaHoldGawo la ndalama zimene osewera amabweretsa pa tebulo limene kasino imasungadi. Ndi lalikulu kuposa phindu la kasino chifukwa ndalama zopambana zimabetchedwanso.Werengani yonse → ndi zimene kasino imasunga kwenikweni kuchokera ku ndalama zimene munabwera nazo pa tebulo, ndipo ndi yokwera kwambiri chifukwa mumabetchanso ndalama zimene mwapambana. Buy-intebuloBuy-inKusinthanitsa ndalama ndi machipi pa tebulo. Kumachitika pakati pa kuzungulira, ndalama zikuikidwa pa dongosolo la mabetcha m’malo mopatsira dealer m’manja.Werengani yonse → ya $100 yobetchedwa $10 nthawi imodzi pa kuzungulira 200 yazungulira $2,000 ndipo yalipira pafupifupi $54 za phindu la kasino; hold ya buy-in imeneyo ndi 54%. Makasino amanena za hold; osewera ayenera kuganiza za phindu la kasino.
N’chifukwa chiyani betcha lililonse lili ndi phindu la kasino lofanana
Ndi chisankho cha kapangidwe, osati mwangozi. Lamulo la 36/n − 1 linakhazikitsidwa m’zaka za zana la 18 ndipo ziro ziwirimtunduZiro ziwiriKabowo ka 00 pa gudumu la ku America. Kukhalapo kwake kumakweza phindu la kasino kuchoka pa 2.70% kufika 5.26%.Werengani yonse → inachotsedwa pambuyo pake popanda kusintha malipiro. Malipiro akanakhala achilungamo pa tibowozipangizoKabowoChimodzi mwa tibowo 37 tokhala ndi manambala pa rotor. Kamatchedwanso: slot, cup.Werengani yonse → 37, straight up ikanalipira 36 ku 1 ndipo kasino sikanapeza ndalama. Phindu la kasino lofanana ndi losavuta: palibe betcha la roulette limene lili “betcha la opusa” poyerekeza ndi lina, kupatula betcha la manambala asanu la ku America pa 7.89%.
Zimene phindu la kasino mu roulette silili
Si kuthekeramasamuKuthekeraMwayi wa zotsatira, kuchokera 0 mpaka 1 kapena 0% mpaka 100%. Nambala imodzi: 1/37 = 2.70%.Werengani yonse → koluza gawo la masewera; magawo afupiafupi ambiri amasankhidwa ndi kusinthasinthamasamuKusinthasinthaMuyeso wa kufalikira kwa zotsatira kuzungulira mtengo woyembekezeka. Kwakukulu pa straight up, kochepa pa mabetcha a even-money.Werengani yonse →, ndipo pafupifupi 42% ya magawo a even-money a kuzungulira 100 amatha muli patsogolo. Si malipiro a gawo lililonse; amakula ndi ndalama zonse zobetchedwandalamaNdalama zonse zobetchedwaNdalama zonse zobetchedwa mu gawo la masewera kapena nthawi inayake, kuphatikizapo ndalama zopambana zobetchedwanso. Zimatchedwanso: handle, action.Werengani yonse →, choncho progressionnjiraProgressionLamulo lililonse limene limasintha ndalama zobetcha potengera zotsatira zakale. Maprogression olakwika amazikweza pambuyo poluza, abwino pambuyo popambana.Werengani yonse → imene imabetcha zambiri imalipira zambiri. Si chinthu chimene kalembedwe ka mabetcha kangachepetse, chifukwa phindu la kasino la mabetcha a nthawi imodzi limaphatikizana molingana ndi ndalama zobetcha zake.
Mu ndalama
Pa $1,000 iliyonse yobetchedwa kutayika koyembekezeka ndi $27.03 mu roulette ya ku UlayamtunduRoulette ya ku UlayaGudumu la ziro imodzi, tibowo 37, phindu la kasino 2.70%. Chitsanzo chachikulu cha tsamba lino.Werengani yonse →, $52.63 mu ya ku America, $13.51 pa mabetcha a even-moneybetchaBetcha la even-moneyZofiira/zakuda, osakhala awiriawiri/awiriawiri, okwera/otsika. Manambala 18, amalipira 1:1.Werengani yonse → 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 →. Wosewera wanthawi zonse amene amabetcha $500 madzulo amodzi, kawiri pa sabata, kwa chaka chimodzi wazungulira $52,000 ndipo walipira pafupifupi $1,400 za phindu la kasino pa gudumu la ku Ulaya. Chiwerengerocho n’chaching’ono pa kuzungulira kumodzi ndipo sichileka pa chaka.
Pa kuzungulira kulikonse kapena pa betcha lothetsedwa
Pafupifupi betcha lililonse la roulette limathetsedwa ndi kuzungulira kumodzi, choncho phindu la kasino pa kuzungulira ndi pa betcha ndi nambala imodzimodzi. Betcha limene lingathe kukhala push ndi kukhalabe pa dongosolo la mabetchazipangizoDongosolo la mabetchaGridi yosindikizidwa yobetchera pa tebulo. Imatchedwanso: tebulo, felt, nsalu.Werengani yonse → lili ndi ziwiri. Betcha la teal la Riverboat Roulette limaphimba manambala 3 a gudumu la ku America, limapambana pa 2 ku 1 ngati imodzi mwa iwo ituluka isanatuluke imodzi mwa manambala 8 a White, ndipo limakhala push pa china chilichonse. Pa betcha lothetsedwa limataya 2/11 ya ndalama zobetcha, 18.18%. Pa kuzungulira kulikonse limataya 2/38, 5.26%, chifukwa pa avareji betcha limakhalabe kwa kuzungulira 38/11, pafupifupi 3.5. Ziwerengero zonse ziwiri n’zolondola. Chiwerengero cha pa kuzungulira chimayerekeza betcha ndi tebulo lonse ndipo chimaonetsa mtengo wa ola limodzi; chiwerengero cha pa betcha lothetsedwa chimanena kuchuluka kwa ndalama zobetcha zilizonse zimene zimabwera pamene betcha lithetsedwa.
Pamene kasino ikulakwitsa mtengo
Phindu lililonse la kasino patsamba lino limachokera ku masamu amene makasino nthawi zambiri amawerengera molondola. Nthawi zina satero. Mu October 1994 Grand Casino ku Biloxi, Mississippi, inapereka 80 ku 1 pa madayisi atatu okwana 4, ndi chimodzimodzi pa 17. Madayisi atatu amagwa m’njira 216 ndipo 3 zokha mwa izo zimakwana 4, choncho betcha linabweza 81 × 3/216 = 1.125 pa unit iliyonse yobetchedwa: phindu la 12.5% kwa wosewera. Osewera anazindikira. Kasino inataya pafupifupi $180,000 tsiku limodzi, inatseka betcha, ndipo inalitsegulanso pa 60 ku 1, zimene zimasintha mwayi womwewo wa 3 pa 216 kukhala phindu la kasino la 15.3%. Hunacek (2025), potchula Bollman, amafotokoza nkhaniyi. Malipiro okhazikika a roulette ndi osavuta kwambiri kuti alakwitsidwe motere; mabetcha a m’mbalibetchaBetcha la m’mbaliBetcha lowonjezera losakakamizidwa lolumikizidwa ku masewera akuluakulu, kawirikawiri pa motsatizana, chochitika cha bonasi kapena jackpot. Pafupifupi nthawi zonse ndi lokwera mtengo kuposa mabetcha wamba.Werengani yonse → ake achilendo ndi kumene masamu ayenera kufufuzidwa.

Mabetcha a m’mbali m’masewera ena a pa tebulo
Bollman (2021) amaika mabetcha akuluakulu a blackjack, baccarat, craps ndi roulette pambali pa mabetcha a m’mbali ofala pa matebulo omwewo. M’masewera atatu oyambirira betcha la m’mbali limadula kuposa betcha lalikulu, nthawi zambiri kangapo. Chosiyana ndi masewera omaliza a mu tebulo: phindu la kasino la roulette ya ku AmericamtunduRoulette ya ku AmericaGudumu lokhala ndi 0 ndi 00, tibowo 38, phindu la kasino 5.26%. Si chitsanzo chachikulu cha tsamba lino.Werengani yonse → ndi 5.26% pa mabetcha akuluakulu, lokwera kotero kuti betcha la m’mbali monga Colors kapena WINGO lingakhale lotsika mtengo.
Mtengo wa Ola Limodzi, PoyerekezaMabetcha a M’mbali a Roulette
Fomula
Mafunso
Ayi. Ndi 2.70% ya zimene mumabetcha. Kubetchanso ndalama zomwezo kumazibetcha kachiwiri.
Ayi. Ndi gawo (proportion). Kutayika koyembekezeka m’madola kumakula ndi ndalama zobetcha.
Poyesa ndi phindu la kasino, mabetcha onse okhazikika a ku Ulaya ndi ofanana; amasiyana kokha ndi kuchuluka kwa kupambana kwawo ndi kuchuluka kwa malipiro awo. Ndi la partage, mabetcha a even-money ndi theka la ena.
Masamu Osangalatsa
Yesani nokha choyamba. Yankho lililonse labisika; litsegulireni mukakonzeka.
Pa gudumu la ku Ulaya, straight upbetchaStraight upNambala imodzi, amalipira 35:1.Werengani yonse → ndi betcha pa zofiirabetchaZofiiraBetcha la even-money pa manambala 18 ofiira. Mu Chifalansa: rouge.Werengani yonse → zonse zimawononga 2.70%, ngakhale kuti limodzi limaphimba nambala imodzi ndipo linalo khumi ndi zisanu ndi zitatu. N’chifukwa chiyani betcha lililonse lili ndi phindu la kasinomasamuPhindu la kasinoGawo la ndalama zobetcha zilizonse limene kasino imasunga pa avareji: 2.70% mu roulette ya ku Ulaya.Werengani yonse → lofanana?
Onetsani yankho
Yankho MalipirondalamaMalipiroZimene betcha lopambana limabweza, zotchulidwa ngati “X ku 1” kuwonjezera pa ndalama zobetcha zobwezedwa.Werengani yonse → aliwonse amakhazikitsidwa ngati kuti zirogudumuZiroKabowo kamodzi kobiriwira kamene betcha la even-money, dazeni kapena mzati siliphimba; gwero la phindu la kasino. Imatchedwanso: ziro imodzi, 0.Werengani yonse → palibe, choncho betcha lililonse limataya unitndalamaUnitNdalama zobetcha zoyambira zimene dongosolo kapena wosewera amagwiritsa ntchito. Maprogression amafotokozedwa mu ma unit kuti agwire ntchito pa tebulo lililonse.Werengani yonse → imodzi pa kuzungulira 37, mosasamala kanthu kuti limaphimba chiyani.
Tengani betcha pa manambala n. Limalipira (36 − n)/n ku 1. Pa kuzungulira 37, pa avareji, limapambana kawiri n ndipo limaluza kawiri 37 − n.
Kupambana kumabweretsa ma unit n × (36 − n)/n = 36 − n. Kuluza kumawononga ma unit 37 − n. Kusiyana kwake ndi unit −1 pa kuzungulira 37 kulikonse, ndipo n yachoka: zotsatira zake n’zofanana pa straight up, konabetchaKonaManambala anayi ogawana kona imodzi pa dongosolo la mabetcha, amalipira 8:1.Werengani yonse → kapena dazenibetchaDazeni1–12, 13–24 kapena 25–36, amalipira 2:1.Werengani yonse →. Unit imodzi yotayika pa 37 ndi 2.70%.
Pa gudumu lokhala ndi tibowozipangizoKabowoChimodzi mwa tibowo 37 tokhala ndi manambala pa rotor. Kamatchedwanso: slot, cup.Werengani yonse → N, kuwerengera komweko kumapereka (36 − N)/N, choncho −2/38 = 5.26% pa gudumu la ku America. Betcha lokhalo lomwe limaphwanya dongosololi ndi betcha la manambala asanu la ku America: lamulo limanena kuti liyenera kulipira 6.2 ku 1, limalipira 6, ndipo limawononga 7.89%.
Keno, masewera ofanana ndi lotale, amasunga 25% kapena kuposa pa zomwe zabetchedwa. Ngati kasino ikanawonjezera maziro pa gudumu la roulette ndi kusiya malipiro momwemo, ikanafunika maziro angati kuti roulette ikhale yodula ngati keno?
Onetsani yankho
Yankho Maziro khumi ndi awiri: gudumu la tibowo 48.
Ndi maziro z, gudumu lili ndi tibowo 36 + z, ndipo malipiro akuganizirabe 36. Malinga ndi lamulo la funso lili pamwambapa, betcha lililonse limataya ma unit z pa kuzungulira 36 + z, choncho phindu la kasino ndi z/(36 + z).
Ifananitseni ndi gawo limodzi mwa magawo anayi: 4z = 36 + z, choncho z = 12. Maziro khumi ndi awiri pa gudumu la tibowo 48 akanawononga 25%.
Gudumu la ziro zitatu la Las Vegas Strip, roulette yodula kwambiri imene osewera ambiri adzakumana nayo, lili ndi gawo limodzi mwa magawo anayi a chiwerengero chimenecho.
mazirotibowophindu la kasino1372.70%2385.26%3397.69%44010.00%124825.00%Massachusetts Lottery inayambitsa gudumu mu 2023 lokhala ndi manambala 36 ndipo opanda ziro. Nambala imodzi imalipira “25 for 1”, ndipo zofiira, zakudabetchaZakudaBetcha la even-money pa manambala 18 akuda. Mu Chifalansa: noir.Werengani yonse →, osakhala awiriawiri kapena awiriawiri amalipira “3 for 2”. Popeza palibe ziro, kodi ndi lotsika mtengo kuposa roulette?
Onetsani yankho
Yankho Ayi, ndi lodula kwambiri: 30.56% pa nambala ndi 25% pa zofiira kapena zakuda, poyerekeza ndi 2.70% pa gudumu la ku Ulaya.
“For” imaphatikiza ndalama zobetcha. Betcha la $1 pa nambala limabweza $25 kamodzi pa makoka 36 pa avareji: $25 zobwezedwa pa $36 zobetchedwa, kutaya $11 pa 36, 30.56%.
Betcha la $2 pa zofiira limabweza $3 theka la nthawi: $3 zobwezedwa pa $4 iliyonse yobetchedwa, kutaya 25%.
Ziro ndi njira imodzi yokha yokhazikitsira mtengo. Roulette imalipira ngati kuti pali tibowo 36 ndipo imawonjezera kabowo ka 37; gudumu ili lili ndi tibowo 36 ndipo limangolipira zochepa. Bollman (2024) akulipereka ngati zochitika.
Kasino ikufuna betcha latsopano pa manambala a primemasamuNambala ya primeNambala yathunthu yoposa 1 imene imagawika ndendende ndi 1 ndi iyo yokha: 2, 3, 5, 7, 11, 13 ndi zina zotero.Werengani yonse → khumi ndi limodzi kuyambira 1 mpaka 36: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 ndi 31. Liyenera kulipira zingati kuti liwononge 2.70% yofanana ndi betcha lina lililonse pa gudumu la ku Ulaya? Likanawononga zingati pa 2 ku 1?
Onetsani yankho
Yankho 25 ku 11, pafupifupi 2.27 ku 1. Pa 2 ku 1 likanawononga 10.81%.
Gwiritsani ntchito lamulo la funso loyamba: betcha pa manambala n limalipira (36 − n)/n ku 1. Ndi n = 11 zimenezo ndi 25/11 ku 1, malipiro ovuta, popeza chipindalamaChipiChizindikiro choimira ndalama yokhazikika, choikidwa pa dongosolo la mabetcha kuti mupange betcha. Chimatchedwanso: check.Werengani yonse → cha $10 chikanapambana $22.73.
Pa 2 ku 1, betcha la $1 limapambana $2 pa kuzungulira 11 mwa 37 ndipo limataya $1 pa 26 otsalawo: 22 − 26 = ma unit −4 pa kuzungulira 37 kulikonse, 10.81%.
Ichi ndi chifukwa chake roulette imagulitsa mabetcha pa manambala 1, 2, 3, 4, 6, 12 ndi 18: 36 imagawika ndi lililonse la iwo, choncho malipiro achilungamo ndi nambala yathunthu. Taylor (2021) amapereka zochitikazi ndi manambala a prime khumi; alipo khumi ndi limodzi.
Nthabwala yopumitsa

1/37 ya ndalama zobetcha zilizonse, pa betcha lililonse, pa kuzungulira kulikonse.
Magwero
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Hunacek, M. Quantitative Literacy Through Games and Gambling.