Masamu a Roulette · Kugwiritsa ntchito · mphindi 8

Mabonasi, Zotsatsa ndi Zobweza mu Roulette

Mabonasi a roulette monga makuponi a matchplay, machipi amene simungawasinthe kukhala ndalama ndi zobweza pa kutaya amasuntha ndalama zochepa kuchokera ku kasino kupita kwa wosewera. Atawerengeredwa mtengo molondola, ena mwa iwo ali ndi mtengo woposa zimene gudumu limatenga.

Yankho lalifupi

Kuponi imene imawirikiza malipiro a even-money ili ndi mtengo wa pafupifupi 46% ya betcha pa gudumu la ku Ulaya. Chipi chotsatsa chogwiritsidwa ntchito kamodzi chili ndi mtengo wa (36 − n)/37 ya mtengo wake wolembedwa pa betcha lophimba manambala n: 95% pa straight up, 49% pa zofiira. Kubweza theka la kutaya kwanu konse kumapangitsa gawo lalifupi la zofiira kukhala loyenera kusewera. Palibe chimene chimasintha gudumu; chimasintha amene amalipira.

kuponi ya matchplay pa zofiira
+45.9% ya betcha
chipi cha $100 chogwiritsidwa kamodzi, straight up
mtengo wake $94.59
chipi chomwecho pa zofiira
mtengo wake $48.65
kubweza 50% ya kutaya pa zofiira
bwino kwambiri pa kuzungulira 25

N’chifukwa chiyani zotsatsa zingapambane phindu la kasino

Phindu la kasinomasamuPhindu la kasinoGawo la ndalama zobetcha zilizonse limene kasino imasunga pa avareji: 2.70% mu roulette ya ku Ulaya.Werengani yonse → ndi mtengo pa unitndalamaUnitNdalama zobetcha zoyambira zimene dongosolo kapena wosewera amagwiritsa ntchito. Maprogression amafotokozedwa mu ma unit kuti agwire ntchito pa tebulo lililonse.Werengani yonse → iliyonse yobetchedwa: 2.70% pa gudumu la ku Ulaya. Bonasi ya roulette imawonjezera ndalama mbali imodzi ya betcha, ndipo ngati iwonjezera kuposa 2.70% ya ndalama zobetcha, betcha limenelo limakhala labwino kwa nthawi yonse imene zotsatsazo zikupitirira. Makasino amazipereka mulimonse chifukwa zili ndi malire: kuponi imodzi pa ulendo uliwonse, machipindalamaChipiChizindikiro choimira ndalama yokhazikika, choikidwa pa dongosolo la mabetcha kuti mupange betcha. Chimatchedwanso: check.Werengani yonse → amene angabetchedwe koma osasinthidwa kukhala ndalama, zobweza kwa osewera okha amene ataya ndalama zambiri. Masamu ndi omwewo monga kwina kulikonse patsamba lino: mwayi kuchulukitsa ndi malipirondalamaMalipiroZimene betcha lopambana limabweza, zotchulidwa ngati “X ku 1” kuwonjezera pa ndalama zobetcha zobwezedwa.Werengani yonse →, kuphatikiza pa zotsatira zonse.

Makuponi a matchplay

Kuponi ya matchplay imakhala pafupi ndi betcha la ndalama ndipo imawirikiza zimene betcha limalipira ngati lipambana; kaya lipambane kapena liluze, kasino imasunga kuponiyo. Bollman (2024) amawerengera mtengo wa kuponi ya ku Las Vegas ya 2022 imene inafananitsa mpaka $50 pa betcha la even-moneybetchaBetcha la even-moneyZofiira/zakuda, osakhala awiriawiri/awiriawiri, okwera/otsika. Manambala 18, amalipira 1:1.Werengani yonse →. Pa gudumu la ku Ulaya, $50 pa zofiirabetchaZofiiraBetcha la even-money pa manambala 18 ofiira. Mu Chifalansa: rouge.Werengani yonse → ndi kuponi imapambana $100 ndi mwayi 18/37 ndipo imataya $50 ndi mwayi 19/37: +$22.97 yoyembekezeka, kapena 45.9% ya betcha. Pa gudumu la ku America ndi +$21.05, 42.1%. Pa straight upbetchaStraight upNambala imodzi, amalipira 35:1.Werengani yonse → kuponi yomweyo ikanakhala ndi mtengo wowirikiza kawiri, n’chifukwa chake makuponi amangololedwa pa mabetcha a even-money.

betchalimalipira likapambanagudumu la ku Ulayagudumu la ku America
$50 pa zofiira, popanda kuponi$50−$1.35 (−2.70%)−$2.63 (−5.26%)
$50 pa zofiira ndi kuponi$100+$22.97 (+45.9%)+$21.05 (+42.1%)
$50 straight up ndi kuponi, ngati kuloledwa$3,500+$45.95 (+91.9%)+$43.42 (+86.8%)

Gudumu ndi Malamulo a Roulette ya ku America

Machipi amene simungawasinthe kukhala ndalama

Machipi otsatsa, otchedwanso machipi osasinthika (non-negotiable), angathe kubetchedwa koma osasinthanitsidwa ndi ndalama. Lamulo lofala ndi kugwiritsa ntchito kamodzi: betcha lopambana limalipidwa ndi machipi wamba ndipo chipi chotsatsa chimatengedwa; lolephera limatengedwanso. Chipi cha $100 pa betcha lophimba manambala n chimapambana (36 − n)/n × $100 ndi mwayi n/37, choncho chili ndi mtengo wa (36 − n)/37 ya mtengo wake wolembedwa. Mtengo wa chipi chokha subwerera konse, koma zopambana zokha, ndipo betcha limene limapambana kawirikawiri pang’ono koma limalipira zambiri limataya pang’ono kwambiri motere: $94.59 pa straight up, $48.65 pa zofiira. Kumene chipi chingathe kukhalabe pa dongosolo la mabetchazipangizoDongosolo la mabetchaGridi yosindikizidwa yobetchera pa tebulo. Imatchedwanso: tebulo, felt, nsalu.Werengani yonse → mpaka chiluze, betcha la even-money lili ndi mtengo wa 18/19 ya mtengo wake wolembedwa pa gudumu la ku Ulaya ndi 9/10 pa la ku America (Bollman, 2024).

betchamanambalamtengo wa chipi cha $100 chogwiritsidwa kamodzi
Straight up1$94.59
Split2$91.89
Street3$89.19
Kona4$86.49
Six line6$81.08
Dazeni12$64.86
Zofiira18$48.65

Kusandutsa machipi kukhala ndalama

Mtengo ndi avareji; wosewera amene akufuna ndalamazo motsimikiza angathe kuzigula ndi kudziteteza (hedge). Chitsanzo cha Bollman ndi cha kasino yakale ya Vegas World: $1,000 ya machipi ogwiritsidwa kamodzi pa gudumu la ku America, $500 pa zofiira ndi $500 pa zakudabetchaZakudaBetcha la even-money pa manambala 18 akuda. Mu Chifalansa: noir.Werengani yonse →, ndi $20 ya ndalama pa 0 ndi pa 00 iliyonse. Zofiira kapena zakuda zimapambana $500 ndipo zimataya $40 ya ndalama: +$460. ZirogudumuZiroKabowo kamodzi kobiriwira kamene betcha la even-money, dazeni kapena mzati siliphimba; gwero la phindu la kasino. Imatchedwanso: ziro imodzi, 0.Werengani yonse → imataya machipi onse awiri ndipo imalipira $700 pa ndalama: +$680. Wosewera amasunga $460 pang’ono, ndipo avareji, $471.58, ndi 99.6% ya mtengo wa machipi pa zofiira zokha. Kumene malamulo amalola machipi pa manambala amodzi, gudumu la ku Ulaya limapereka kudziteteza kwabwino: machipi a $25 pa manambala onse 36 ($900) ndi $25 ya ndalama pa ziro. Nambala iliyonse imene ituluka imalipira $875, ndipo ndalama za pa ziro zimatayika pokhapokha ziro yokha itatuluka, choncho wosewera amasunga $850 pang’ono, 94% ya mtengo wolembedwa wa machipi, popanda chiopsezo chilichonse.

Machipi ogwiritsidwa kamodzi akuphimba zofiira ndi zakuda pamene mabetcha ang’onoang’ono a ndalama akuphimba ziro zonse ziwiri.

Kufalitsa Mabetcha ndi Kudziteteza mu Roulette

Zobweza pa kutaya

Osewera a ndalama zazikulu kawirikawiri amapatsidwa zobweza (rebate): gawo la kutaya kwawo konse kumabwezedwa kumapeto kwa gawo logwirizana. Zobweza zimalipira pokhapokha mutaluza, choncho zimakhala ndi mtengo waukulu pamene zotsatira zikusinthasintha kwambiri ndipo gawo ndi lalifupi mokwanira kuti phindu la kasino lisanatenge ulamuliro. Epstein (2013) amawerengera nkhaniyi pa gudumu la ku America; ziwerengero zathu za la ku Ulaya zikutsatira. Ndi theka la kutaya konse kubwezedwa, kubetcha even-money mofanana kuli koyenera kusewera mpaka kuzungulira 103 ndipo kuli bwino kwambiri pa 25, kokhala ndi mtengo wa ndalama zobetcha +0.51 pa avareji. Pa straight up kusinthasintha kuli kwakukulu kotero kuti gawo limakhalabe labwino kwa pafupifupi kuzungulira 3,600 ndipo kuli bwino kwambiri pa 882, kokhala ndi mtengo wa ndalama zobetcha +17.25. Ndi zobweza zofala kwambiri za 10%, even money ndi yabwino pa kuzungulira kumodzi kokha, pamene straight up ili bwino kwambiri pa kuzungulira 20, yokhala ndi mtengo wa ndalama zobetcha +0.62.

zobwezabetchalabwino mpakagawo labwino kwambirimtengo pa labwino kwambiri
50%even moneykuzungulira 103kuzungulira 25ndalama zobetcha +0.51
50%straight uppafupifupi kuzungulira 3,600kuzungulira 882ndalama zobetcha +17.25
10%even moneykuzungulira 1kuzungulira 1ndalama zobetcha +0.02
10%straight upkuzungulira 85kuzungulira 20ndalama zobetcha +0.62
Gudumu la ku Ulaya, ndalama zobetcha imodzi pa kuzungulira kulikonse pa betcha lomwelo, zobweza zolipidwa pa kutaya konse pambuyo pa chiwerengero chokhazikika cha kuzungulira. Kuphatikiza kwenikweni kwa binomial.

Malamulo a zotsatsa za roulette: zimene kasino ikudalira

Zotsatsa zilizonse zili ndi malire, ndipo malirewo amateteza kasino: kuponi imodzi pa ulendo uliwonse, machipi operekedwa mu kuchuluka kokhazikika, zobweza zogwirizana ndi osewera okha amene kutayika kwawo koyembekezeka pa ulendo kumaposa kwambiri zobwezazo. Wosewera amene agwiritsa ntchito kuponi kenako akhala madzulo onse akubetcha $50 pa zofiira amabweza $22.97 mkati mwa kuzungulira 17, pa $1.35 pa kuzungulira. Mtengowo ndi weniweni kwa wosewera amene amautenga nachoka, kapena amene akanasewera zochuluka chomwecho mulimonse.

Fomula

chipi chogwiritsidwa kamodzi pa manambala n: mtengo = (36 − n)/37 ya mtengo wolembedwa
kuponi yowirikiza kupambana kwa even-money: EV = (2 × 18 − 19)/37 ya betcha
zobweza r za kutaya konse: EV = E[zotsatira] + r × E[kutaya konse]

Mafunso

Kodi kuponi ingapangitse roulette kukhala masewera opambana?

Pa betcha limodzi limene imapita nalo, inde. Betcha lina lililonse limadulabe 2.70% ya ndalama zobetcha.

N’chifukwa chiyani makasino amalekerera kudziteteza?

Osewera ochepa amaganiza za zimenezo, machipi ali ndi malire, ndipo kasino yawerengera kale mtengo wa zotsatsazo ngati malonda.

Kodi zobweza zimaperekedwa kwa osewera wamba?

Kawirikawiri ayi. Ndi mgwirizano wa osewera a ndalama zazikulu (high-roller), kawirikawiri wogwirizanidwa ndi casino host ndi kulipidwa pa kutaya konse pa ulendo.

Masamu Osangalatsa

Yesani nokha choyamba. Yankho lililonse labisika; litsegulireni mukakonzeka.

  1. Mwapatsidwa chipindalamaChipiChizindikiro choimira ndalama yokhazikika, choikidwa pa dongosolo la mabetcha kuti mupange betcha. Chimatchedwanso: check.Werengani yonse → chotsatsa cha $25 chimene chimatengedwa pambuyo pa betcha limodzi, mupambane kapena muluze. Kodi chiyenera kupita kuti: pa zofiirabetchaZofiiraBetcha la even-money pa manambala 18 ofiira. Mu Chifalansa: rouge.Werengani yonse →, pa dazenibetchaDazeni1–12, 13–24 kapena 25–36, amalipira 2:1.Werengani yonse → kapena pa nambala imodzi?

    Onetsani yankho

    Yankho Pa nambala imodzi. Kumeneko chili ndi mtengo wa $23.65 pa avareji; pa dazeni $16.22 ndipo pa zofiira $12.16.

    Chipi chomwecho sichibwerera konse, koma zimene chapambana zokha. Pa zofiira chimapambana $25 ndi kuthekera kwa 18/37: $12.16. Pa dazeni chimapambana $50 ndi kuthekera kwa 12/37: $16.22. Pa nambala imodzi chimapambana $875 ndi kuthekera kwa 1/37: $23.65.

    Mwachizolowezi betcha pa manambala n lili ndi mtengo wa (36 − n)/37 wa chipi, choncho manambala akakhala ochepa, zimakhala bwino. Ndi chipi chanthawi zonse izi sizisintha kanthu, chifukwa ndalama zobetcha zimabwerera ndi kupambana kulikonse ndipo betcha lililonse lili ndi mtengo wa 36/37 wake. Kuchotsa ndalama zobetcha kumapweteka mabetcha amene amapambana pafupipafupi ndipo sikukhudza kwenikweni betcha limene limapambana kamodzi pa 37.

  2. Kasino idzakubwezerani theka la kutaya kwanu kwenikweni pambuyo pa kuzungulira kumodzi ndendende. Kodi $100 pa zofiira ndi yoyenera kuseweredwa? Nanga $100 pa nambala imodzi?

    Onetsani yankho

    Yankho Zonse ziwiri ndi zoyenera: pafupifupi +$22.97 pa zofiira ndi +$45.95 pa nambala.

    Pa zofiira mumapambana $100 ndi kuthekera kwa 18/37 ndipo, pambuyo pa kubwezeredwa, mumataya $50 ndi kuthekera kwa 19/37: (1,800 − 950)/37 = +$22.97.

    Pa nambala imodzi mumapambana $3,500 ndi kuthekera kwa 1/37 ndipo mumataya $50 ndi kuthekera kwa 36/37: (3,500 − 1,800)/37 = +$45.95.

    Awa ndi manambala a matchplay kachiwiri. Betcha la $100 limene limataya $50 yokha limapambana $100 kapena limataya $50, ndendende ngati betcha la $50 lokhala ndi kuponi kowirikiza kupambana kwake. Pa gawo la masewera lalitali kubwezeredwa kumalipidwa pa zotsatira za phindu zokha, kupambana ndi kutaya zimafafanizana kusanalipidwe, ndipo mtengo wake umachepa; pa zofiira ndi theka kubwerera, kuzungulira 25 ndiko kutalika kwabwino kwambiri.

  3. Kasino idzakubwezerani theka la kutaya kwanu kwenikweni pambuyo pa chiwerengero chokhazikika cha mabetcha a $100 pa zofiira, chosankhidwa pasadakhale: kuzungulira 1, 2 kapena 3. Ndi chiti chomwe chili ndi mtengo waukulu kwambiri?

    Onetsani yankho

    Yankho Kuzungulira katatu: pafupifupi +$31.45. Kuzungulira kamodzi kuli ndi mtengo wa +$22.97, ndipo kawiri +$20.96 yokha.

    Kuzungulira kamodzi: pambanani $100 ndi kuthekera kwa 18/37, kapena taya $100 ndi kubwezeredwa $50 ndi kuthekera kwa 19/37: +$22.97, monga m’zochita pamwambapa.

    Kuzungulira kawiri: zonse ziwiri zapambana (ka 324 pa 1,369), +$200. Chimodzi chimodzi (ka 684), $0, popanda chobweza. Zonse ziwiri zaluza (ka 361), −$200, −$100 pambuyo pa kubwezeredwa. Avareji: (200 × 324 − 100 × 361)/1,369 = +$20.96. Kubwezeredwa kumalipira pa kutaya kokha, ndipo kuzungulira kawiri kumasandutsa kutaya kochuluka kwa kuzungulira kamodzi kukhala kufanana.

    Kuzungulira katatu sikungathe kufanana. Kupambana katatu (ka 5,832 pa 50,653): +$300. Kupambana kawiri (18,468): +$100. Kupambana kamodzi (19,494): −$100, kubwezeredwa kufika −$50. Palibe (6,859): −$300, kubwezeredwa kufika −$150. Avareji: +$31.45.

    Kubwezeredwa kumakhala ndi mtengo waukulu mukadzipereka nthawi yaitali, pamene phindu la kasino limawononga $2.70 yokha pa kuzungulira kulikonse, choncho mtengo umakwera kufika pafupifupi +$51 pa kuzungulira 25 (onani tebulo pamwambapa), ndipo chiwerengero cha kuzungulira chosakhala awiriawiri nthawi zonse chimaposa chiwerengero cha awiriawiri chotsatira.

  4. Kasino ina ku Las Vegas nthawi ina inapereka kuponi: betchani $5 pa 00 ndipo, ikapambana, mumalipidwa $250 m’malo mwa $175 yanthawi zonse. Kodi betcha la $5 lili ndi mtengo wotani ndi kuponi, ngati gawo la ndalama zobetcha, pa gudumu lake la zirogudumuZiroKabowo kamodzi kobiriwira kamene betcha la even-money, dazeni kapena mzati siliphimba; gwero la phindu la kasino. Imatchedwanso: ziro imodzi, 0.Werengani yonse → ziwiri?

    Onetsani yankho

    Yankho Pafupifupi +34%: betcha lili ndi mtengo wa +$1.71 pa avareji. Ngati $250 ikuphatikizapo $5 yobwezedwa, ndi +31.6%.

    00 imapambana kamodzi pa kuzungulira 38. Ndi kuponi: +$250 kamodzi, −$5 nthawi zina 37. Avareji: (250 − 37 × 5)/38 = 65/38 = +$1.71, zomwe ndi 34.2% ya $5. Popanda kuponi: (175 − 185)/38 = −$0.26, −5.26% yanthawi zonse.

    Ngati $250 ndi zonse zobwezedwa, kupambana ndi $245 ndipo avareji ndi (245 − 185)/38 = +$1.58, kapena 31.6%.

    Bollman (2024) amapereka kuponi kumeneku, kochokera ku kasino ya Lady Luck (tsopano Downtown Grand), ngati zochita zophunzirira; yankho losindikizidwa nalo, 7.89%, siligwirizana ndi kawerengedwe kalikonse. Monga kuponi ka matchplay, kali ndi mtengo kamodzi kokha: kaseweretseni ndipo siyani.

Nthabwala yopumitsa

Zotsatsa zili ndi mtengo waukulu kwa wosewera amene azitenga napita kunyumba.

Zotsatsa zili ndi mtengo waukulu kwa wosewera amene azitenga napita kunyumba.

Magwero

  1. Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed. CRC Press, 2024.
  2. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
zinawunikidwa 2026-09-28chitsanzo: ya ku Ulaya, ziro imodzinjira zowerengera ↗magwero ↗