Okubala mu Roulette · Endowooza enkulu · eddakiika 8

Enkizo ya Kaasino mu Roulette

Ekitundu kya buli ssente za zzaala kaasino ky'ekuuma ku kigero.

Eky'okuddamu mu bufunze

Roulette ya Bulaaya: 2.70% ku buli zzaala eya bulijjo, kubanga ensasula zibalibwa nga gy'obeera waliwo ebinnya 36 ate nga biri 37.

Bulaaya
2.70%
Amerika
5.26%
zzaala ya emu ku emu eya Bufalansa
1.35%
ku buli $1,000 ezisibiddwa
$27.03

Gye kiva

Emikisa egy'obwenkanya ku straight upzzaalaStraight upEnnamba emu yokka, esasula 35:1.Soma byonna → gyandibadde 36 ku 1, kubanga waliwo engeri 36 ez'okufiirwa ku buli ngeri emu ey'okuwangula. Kaasino esasula 35 ku 1. YunitissenteYunitiSsente za zzaala ez'entandikwa enkola oba omuzannyi z'akozesa. Okulinnyisa zzaala kunnyonnyolwa mu yuniti kusobole okukola ku mmeeza yonna.Soma byonna → ebulako, bw'egabanyizibwa ku bivaamu 37 ebisoboka kyenkanyi, eba 1/37 = 2.70% za ssente za zzaala buli kwetooloola. Okubulako kwe kumu kulabika mu buli nsasulassenteEnsasulaZzaala ewangudde ky'ekomyawo, ekyogerwa nga “X ku 1” okwongera ku ssente za zzaala ezizzibwayo.Soma byonna → kubanga buli nsasula ekozesa etteeka lya 36/n − 1: splitzzaalaSplitEnnamba bbiri eziriraanaganye, esasula 17:1.Soma byonna → esasula 17 mu kifo kya 17.5, dazenizzaalaDazeni1–12, 13–24 oba 25–36, esasula 2:1.Soma byonna → 2 mu kifo kya 2.083, emmyufuzzaalaEmmyufuZzaala ya emu ku emu ku nnamba 18 emmyufu. Mu Lufalansa: rouge.Soma byonna → 1 mu kifo kya 1.056. Ekituli bulijjo kiba yuniti 1/n ku buli kuwangula, n'okuwangula n/37 buli kwetooloola, kale bulijjo 1/37 buli kwetooloola.

Ensasula ya kaasino ku nsasula ey'obwenkanyaensasula, ku 1
Straight up (1/37)
35:1
Split (2/37)
17:1
Street (3/37)
11:1
Corner (4/37)
8:1
Six line (6/37)
5:1
Dazeni / empagi (12/37)
2:1
Zzaala ya emu ku emu (18/37)
1:1
ensasula, ku 1
017.5035:1
Ey'obwenkanya = 37/n − 1. Esasulwa = 36/n − 1. Ekituli, yuniti 1/n ku buli kuwangula okukubisibwamu okuwangula n/37 buli kwetooloola, kiba 1/37 ya ssente za zzaala ku buli zzaala.

Enkizo ya kaasino ne hold

Enkizo ya kaasino kwe kufiirwa okusuubirwaokubalaOkufiirwa okusuubirwaOmuwendo ogusuubirwa nga gukubisiddwamu ssente zonna ezisibiddwa; ssente ez'okufiirwa ku kigero mu kiseera ky'okuzannya oba mu kiseera ekimu.Soma byonna → ku buli yuniti esibiddwa: 2.70% buli kwetooloola. HoldssenteHoldEkitundu kya ssente abazannyi ze baleeta ku mmeeza kaasino ky'ekuuma ddala. Kisinga enkizo ya kaasino kubanga ssente ezawangulwa zisibwa nate.Soma byonna → kye kaasino ky'ekuuma ddala ku ssente ze wajja nazo ku mmeeza, era kisinga nnyo obunene kubanga osiba nate ssente z'owangudde. Buy-inemmeezaOkugula cipuOkuwaanyisa ssente enkalu okufuna cipu ku mmeeza. Kikolebwa wakati w'okwetooloola, ssente nga ziteekebwa ku mmeeza ya zzaala mu kifo ky'okuziwa croupier mu ngalo.Soma byonna → ya $100 esibibwa $10 omulundi gumu mu kwetooloola 200 eba esibiddwa omugatte gwa $2,000 era esasudde nga $54 mu nkizo ya kaasino; hold ku buy-in eyo eba 54%. Kaasino zoogera ku hold; abazannyi balina okulowooza mu nkizo ya kaasino.

amakuluomuwendo ogwa bulijjo mu roulette
Enkizo ya kaasinookufiirwa okusuubirwa ÷ ssente ezisibiddwa2.70%
RTP1 − enkizo ya kaasino97.30%
Holdkaasino by'ewangula ÷ buy-in20–30% mu kaasino, kikyukakyuka
Okuwangula okw'endowoozaenkizo ya kaasino × zzaala ey'ekigero × okwetooloolaebirabo bya kaasino kwe bisinziira

Lwaki buli zzaala erina enkizo ya kaasino y'emu

Kino kyalondebwa, so si kyagwawo bugwi. Etteeka lya 36/n − 1 lyateekebwawo mu kyasa 18, era zeero bbiriekikaZeero bbiriEkinnya 00 ku nnamuziga wa Amerika. Okubaawo kwakyo kulinnyisa enkizo ya kaasino okuva ku 2.70% okutuuka ku 5.26%.Soma byonna → yaggibwawo oluvannyuma awatali kukyusa nsasula. Singa ensasula zaali za bwenkanya ku binnyaebikozesebwaEkinnyaKimu ku bisenge 37 ebiriko ennamba ku rotor. Era biyitibwa: slot, cup.Soma byonna → 37, straight up yandisasudde 36 ku 1 era kaasino teyandibadde na nnyingiza. Enkizo ya kaasino eyenkanankana nnyangu: tewali zzaala ya roulette “ey'abasirusiru” okusinga endala, okuggyako emu yokka, zzaala ya Amerika ey'ennamba ttaano eya 7.89%.

Enkizo ya kaasino ku zzaala ya emu ku emu, okusinziira ku ngeri ya roulette% ya ssente za zzaala
Bufalansa (la partage)
1.35%
Bulaaya
2.70%
Amerika (0, 00)
5.26%
Mini (ebinnya 13)
7.69%
Zeero ssatu
7.69%
% ya ssente za zzaala
03.857.69%
Ensasula ze zimu buli wamu; omuwendo gw'ebinnya gwokka gwe gukyuka.

Zzaala ya Nnamba Ttaano mu Roulette

Enkizo ya kaasino mu roulette ky'etali

Si busobokaokubalaObusobokaObusoboka bw'ekivaamu, okuva ku 0 okutuuka ku 1 oba 0% okutuuka ku 100%. Ennamba emu: 1/37 = 2.70%.Soma byonna → bw'okufiirwa ekiseera ky'okuzannya; ebiseera by'okuzannya ebisinga ebimpi bisalibwawo njawulo y'ebivaamuokubalaEnjawulo y'ebivaamuEkipimo ky'engeri ebivaamu gye bisaasaanamu okwetooloola omuwendo ogusuubirwa. Kinene ku straight up, kitono ku zzaala za emu ku emu.Soma byonna →, era nga 42% ku biseera by'okuzannya eby'okwetooloola 100 ku zzaala ya emu ku emu bikoma mu magoba. Si ssente za kusasula buli kiseera ky'okuzannya; yeeyongera n'omugatte gwa zzaalassenteOmugatte gwa zzaalaOmugatte gwa ssente zonna ezisibiddwa mu kiseera ky'okuzannya oba mu bbanga, nga mw'otwalidde n'amagoba agaddamu okusibwa. Era guyitibwa: handle, action.Soma byonna →, kale okulinnyisa zzaalaenteekateekaOkulinnyisa zzaalaEtteeka lyonna erikyusa ssente za zzaala okusinziira ku bivuddemu emabega. Okulinnyisa oluvannyuma lw'okufiirwa kuzirinnyisa ng'ofiiriddwa, okulinnyisa oluvannyuma lw'okuwangula kuzirinnyisa ng'owangudde.Soma byonna → okusiba ssente nnyingi kusasula bingi. Si kintu ensengeka ya zzaala kye esobola okukendeeza, kubanga enkizo ya kaasino eya zzaala ezisibiddwa omulundi gumu zigattibwa okusinziira ku ssente zaazo eza zzaala.

Mu ssente

Ku buli $1,000 ezisibiddwa, okufiirwa okusuubirwa kuba $27.03 mu roulette ya BulaayaekikaRoulette ya BulaayaNnamuziga wa zeero emu, ebinnya 37, enkizo ya kaasino 2.70%. Kye kyokulabirako ekikulu ku mukutu guno.Soma byonna →, $52.63 mu ya Amerika, $13.51 ku zzaala ya emu ku emuzzaalaZzaala ya emu ku emuEmmyufu/enzirugavu, ezitagabanyizika/ezigabanyizika, ennene/entono. Ennamba 18, esasula 1:1.Soma byonna → ne la partageetteekaLa partageEtteeka ery'e Bufalansa: zeero bw'ejja, ekitundu kya ssente za zzaala ya emu ku emu kizzibwayo. Likendeeza enkizo ya kaasino ku zzaala ezo ku kitundu, okutuuka ku 1.35%.Soma byonna →. Omuzannyi owa bulijjo asiba $500 buli kawungeezi, emirundi ebiri mu wiiki, okumala omwaka, aba asibye omugatte gwa $52,000 era asasudde nga $1,400 mu nkizo ya kaasino ku nnamuziga wa Bulaaya. Omuwendo guno mutono buli kwetooloola naye tegukoma buli mwaka.

Etteeka lya La Partage mu RouletteRoulette ya Bulaaya

Buli kwetooloola oba buli zzaala esaliddwawo

Kumpi buli zzaala ya roulette esalibwawo okwetooloola okumu, kale enkizo ya kaasino buli kwetooloola n'enkizo ya kaasino buli zzaala muwendo gwe gumu. Zzaala esobola okuba push n'esigala ku mmeeza ya zzaalaebikozesebwaEmmeeza ya zzaalaEkipande kya zzaala ekikubiddwa ku mmeeza. Era kiyitibwa: table, felt, cloth.Soma byonna → erina emiwendo ebiri. Zzaala ya teal eya Riverboat Roulette ekwata ennamba 3 ku nnamuziga wa Amerika, ewangula ku 2 ku 1 singa emu ku zo evaayo nga emu ku nnamba 8 enjeru tennavaayo, era eba push ku birala byonna. Buli zzaala esaliddwawo efiiza 2/11 za ssente za zzaala, 18.18%. Buli kwetooloola efiiza 2/38, 5.26%, kubanga ku kigero zzaala esigala ku mmeeza okwetooloola 38/11, nga 3.5. Emiwendo gyombi mituufu. Ogw'okwetooloola gugeraageranya zzaala n'endala ez'oku mmeeza era gulaga essaawa emu ky'egula; ogwa zzaala esaliddwawo gulaga ssente za zzaala mmeka ezikomawo zzaala bw'esalibwawo ku nkomerero.

Zzaala ya Riverboatennambaesasulaenkizo ya kaasino buli zzaala esaliddwawoenkizo ya kaasino buli kwetooloola
teal, kyenvu32 ku 118.18%5.26%
pinka, kakobe48 ku 513.33%4.21%
kacungwa, bbululu57 ku 57.69%2.63%
Enkizo ya kaasino buli kwetooloola × okwetooloola okw'ekigero ku mmeeza = enkizo ya kaasino buli zzaala esaliddwawo: 5.26% × 38/11 = 18.18%.

Nnamuziga n'Amateeka ga Roulette ya Amerika

Kaasino bw'ekola ensobi mu muwendo

Buli nkizo ya kaasino ku lupapula luno eva mu kubala kaasino kwe zitera okufuna obulungi. Oluusi tezikufuna. Mu Okitobba 1994, Grand Casino mu Biloxi, Mississippi, yawa 80 ku 1 ku ddayisi ssatu ezigatta 4, n'ekyo kye kimu ku 17. Ddayisi ssatu zigwa mu ngeri 216 era 3 zokka ku zo zigatta 4, kale zzaala yazzangayo 81 × 3/216 = 1.125 ku buli yuniti esibiddwa: enkizo ya 12.5% eri omuzannyi. Abazannyi baakiraba. Kaasino yafiirwa nga $180,000 mu lunaku lumu, n'eggalawo zzaala eyo, n'egiddamu ku 60 ku 1, ekifuula emikisa gye gimu 3 ku 216 enkizo ya kaasino eya 15.3%. Hunacek (2025), ng'ajuliza Bollman, y'anyumya olugero luno. Ensasula eza bulijjo eza roulette nnyangu nnyo okukolamu ensobi bw'etyo; zzaala ez'okwongerakozzaalaZzaala ey'okwongerakoZzaala ey'okwesalirawo ey'okwongerako egattibwa ku muzannyo omukulu, emirundi mingi ku mutendera gw'ebivuddemu, ku kintu kya bonasi oba ku jackpot. Kumpi bulijjo esinga zzaala eza bulijjo ebbeeyi.Soma byonna → ezitali za bulijjo ze z'olina okukebera okubala kwazo.

Ddayisi ssatu ezigatta 4 ku 80 ku 1 zaawa abazannyi enkizo.

Zzaala ez'okwongerako mu mizannyo emirala egy'oku mmeeza

Bollman (2021) ateeka zzaala enkulu eza blackjack, baccarat, craps ne roulette ku mabbali ga zzaala ez'okwongerako eza bulijjo ku mmeeza ezo. Mu mizannyo esatu egisooka, zzaala ey'okwongerako egula okusinga zzaala enkulu, emirundi mingi okusingawo nnyo. Ekyenjawulo gwe muzannyo ogusembayo mu kipande: enkizo ya kaasino eya roulette ya AmerikaekikaRoulette ya AmerikaNnamuziga alina 0 ne 00, ebinnya 38, enkizo ya kaasino 5.26%. Si gwe mukutu guno gwe gukozesa bulijjo.Soma byonna → eri 5.26% ku zzaala enkulu, ennene ekimala nti zzaala ey'okwongerako nga Colors oba WINGO eyinza okugula ekitono.

omuzannyozzaala enkuluenkizo ya kaasinozzaala ey'okwongerakoenkizo ya kaasino
blackjackkaadi z'omuzannyi, okusinziira ku mateeka n'engeri y'okuzannya0.5–5%Lucky Ladies24.94%
WINSURE10.20% oba okusingawo
baccaratPlayer1.36%Baccarat World2.32% oba okusingawo
Banker1.17%WINSUIT2.89%
crapsPass1.41%Field5.56%
Don’t Pass1.36%All Tall, All Small7.76%
Roulette ya Amerikazzaala yonna okuggyako ey'ennamba ttaano5.26%Colors4.34%
zzaala ey'ennamba ttaano7.89%WINGO3.78%
Baccarat buli mukono ogusaliddwawo, nga amaliri galekeddwa. Enkizo ya kaasino eya zzaala ez'okwongerako esinziira ku lukalala lw'ensasula oluweereddwa; zino ze ngeri eziri mu Bollman (2021).

Ssente z'Essaawa Emu, nga ZigeraageranyizibwaZzaala ez'Okwongerako mu Roulette

Ensengekera

enkizo ya kaasino = 1 − (n/37)(36/n) = 1 − 36/37 = 1/37
okufiirwa okusuubirwa = enkizo ya kaasino × omugatte ogusibiddwa

Ebibuuzo

2.70% kye kimu n'okufiirwa 2.70% za ssente zange ez'okuzannyisa?

Nedda. Ziba 2.70% za ssente z'osiba. Okuddamu okusiba ssente ze zimu kuziddamu okuzisiba.

Enkizo ya kaasino mu roulette ekyuka ng'ssente za zzaala zikyuse?

Nedda. Kitundu kya kigero. Okufiirwa okusuubirwa mu ddoola kweyongera ne ssente za zzaala.

Zzaala ki erina emikisa egisinga obulungi mu roulette?

Bw'opimira ku nkizo ya kaasino, zzaala zonna eza bulijjo eza Bulaaya zenkanankana; zaawukana mu mirundi gye ziwangula n'obungi bwe zisasula zokka. Ne la partage, zzaala ya emu ku emu ziba ekitundu ky'endala.

Okwesanyusa n'Okubala

Gezaako bino ggwe kennyini okusooka. Buli kugonjoola kuzingiddwa; kuggulewo ng'oli mwetegefu.

  1. Ku nnamuziga wa Bulaaya, straight upzzaalaStraight upEnnamba emu yokka, esasula 35:1.Soma byonna → ne zzaala ku mmyufuzzaalaEmmyufuZzaala ya emu ku emu ku nnamba 18 emmyufu. Mu Lufalansa: rouge.Soma byonna → byombi bigula 2.70%, newankubadde emu ebikka ennamba emu yokka ate endala kkumi na munaana. Lwaki buli zzaala erina enkizo ya kaasinookubalaEnkizo ya kaasinoEkitundu kya buli ssente za zzaala kaasino ky'ekuuma ku kigero: 2.70% mu roulette ya Bulaaya.Soma byonna → y'emu?

    Laga okugonjoola

    Eky'okuddamu Buli nsasulassenteEnsasulaZzaala ewangudde ky'ekomyawo, ekyogerwa nga “X ku 1” okwongera ku ssente za zzaala ezizzibwayo.Soma byonna → eteekebwawo nga gy'obeera nti zeeronnamuzigaZeeroEkinnya kimu ekya kiragala ekitabikkibwa zzaala ya emu ku emu, eya dazeni oba ey'empagi; y'ensibuko y'enkizo ya kaasino. Era eyitibwa: zeero emu, 0.Soma byonna → teriiyo, n'olwekyo buli zzaala efiirwa yunitissenteYunitiSsente za zzaala ez'entandikwa enkola oba omuzannyi z'akozesa. Okulinnyisa zzaala kunnyonnyolwa mu yuniti kusobole okukola ku mmeeza yonna.Soma byonna → emu mu kwetooloola 37, k'ebe ebikka ki.

    Twala zzaala ku nnamba n. Esasula (36 − n)/n ku 1. Mu kwetooloola 37 ewangula, ku kigero, emirundi n era efiirwa emirundi 37 − n.

    Okuwangula kuleeta n × (36 − n)/n = 36 − n yuniti. Okufiirwa kugula 37 − n yuniti. Enjawulo eri −1 yuniti buli kwetooloola 37, era n esaziddwamu: ekivaamu kye kimu ku straight up, ku cornerzzaalaCornerEnnamba nnya ezigabana ensonda emu ku mmeeza ya zzaala, esasula 8:1.Soma byonna → oba ku dazenizzaalaDazeni1–12, 13–24 oba 25–36, esasula 2:1.Soma byonna →. Yuniti emu efiirwa mu 37 ye 2.70%.

    Ku nnamuziga alina ebinnyaebikozesebwaEkinnyaKimu ku bisenge 37 ebiriko ennamba ku rotor. Era biyitibwa: slot, cup.Soma byonna → N, okubala kwe kumu kuwa (36 − N)/N, n'olwekyo −2/38 = 5.26% ku nnamuziga wa Amerika. Zzaala yokka emenya enkola eno ye zzaala ya Amerika ey'ennamba ttaano: etteeka ligamba esaanidde okusasula 6.2 ku 1, esasula 6, era egula 7.89%.

  2. Keno, omuzannyo ogufaanana lotale, gukuuma 25% oba okusingawo ku ebyo ebisibiddwa. Singa kaasino eyongera zeero ku nnamuziga wa roulette n'erekawo ensasula nga bwe ziri, zeero mmeka zandyetaagisizza okufuula roulette ya bbeeyi nga keno?

    Laga okugonjoola

    Eky'okuddamu Zeero kkumi na bbiri: nnamuziga w'ebinnya 48.

    Ne zeero z, nnamuziga aba n'ebinnya 36 + z, ate ensasula zikyalowooza nti biri 36. Okusinziira ku tteeka mu kikokyo waggulu, buli zzaala efiirwa yuniti z mu kwetooloola 36 + z, n'olwekyo enkizo ya kaasino eri z/(36 + z).

    Kyenkanyankanya n'ekitundu kimu kya kuna: 4z = 36 + z, n'olwekyo z = 12. Zeero kkumi na bbiri ku nnamuziga w'ebinnya 48 zandigudde 25%.

    Nnamuziga wa zeero ssatu ow'oku Las Vegas Strip, roulette esinga obubbeeyi abazannyi abasinga gye banaasanga, alina kimu kya kuna eky'omuwendo ogwo.

    zeeroebinnyaenkizo ya kaasino
    1372.70%
    2385.26%
    3397.69%
    44010.00%
    124825.00%
  3. Massachusetts Lottery yatandikawo nnamuziga mu 2023 ow'ennamba 36 nga tewali zeero. Ennamba emu esasula 25 olwa 1, ate emmyufu, enzirugavuzzaalaEnzirugavuZzaala ya emu ku emu ku nnamba 18 enzirugavu. Mu Lufalansa: noir.Soma byonna →, ezitagabanyizika oba ezigabanyizika zisasula 3 olwa 2. Awatali zeero, esinga roulette obuseere?

    Laga okugonjoola

    Eky'okuddamu Nedda, ya bbeeyi nnyo: 30.56% ku nnamba ne 25% ku mmyufu oba enzirugavu, bw'ogeraageranya ne 2.70% ku nnamuziga wa Bulaaya.

    “Olwa” kizingiramu ssente za zzaala. Zzaala ya $1 ku nnamba ekomyawo $25 omulundi gumu mu kukuba 36 ku kigero: $25 zikomawo ku $36 ezisibiddwa, okufiirwa kwa $11 mu 36, 30.56%.

    Zzaala ya $2 ku mmyufu ekomyawo $3 kitundu ky'ebiseera: $3 zikomawo ku buli $4 ezisibiddwa, okufiirwa kwa 25%.

    Zeero y'engeri emu yokka ey'okuteekawo omuwendo. Roulette esasula nga gy'obeera nti waliwo ebinnya 36 n'eyongerako eky'37; nnamuziga ono alina ebinnya 36 era asasula bitono butono. Bollman (2024) akiteeka ng'okwegezaamu.

  4. Kaasino eyagala zzaala empya ku nnamba za primeokubalaEnnamba enkuluEnnamba enzijuvu esukka 1 egabanyizika bulungi mu 1 ne mu yo yokka: 2, 3, 5, 7, 11, 13 n'endala.Soma byonna → kkumi n'emu okuva ku 1 okutuuka ku 36: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 ne 31. Esaanidde kusasula ki okugula 2.70% ze zimu nga buli zzaala endala ku nnamuziga wa Bulaaya? Yandiguze ki ku 2 ku 1?

    Laga okugonjoola

    Eky'okuddamu 25 ku 11, nga 2.27 ku 1. Ku 2 ku 1 yandiguze 10.81%.

    Kozesa etteeka okuva mu kikokyo ekisooka: zzaala ku nnamba n esasula (36 − n)/n ku 1. Ne n = 11 ezo 25/11 ku 1, ensasula etali nnyangu, kubanga cipussenteCipuAkabonero akakiikirira omuwendo ogutakyuka, akateekebwa ku mmeeza ya zzaala okusiba zzaala. Era kayitibwa: check.Soma byonna → ya $10 yandiwangudde $22.73.

    Ku 2 ku 1, zzaala ya $1 ewangula $2 mu kwetooloola 11 ku 37 era efiirwa $1 ku 26 ebirala: 22 − 26 = −4 yuniti buli kwetooloola 37, 10.81%.

    Kino kye kiva roulette etunda zzaala ku nnamba 1, 2, 3, 4, 6, 12 ne 18: 36 egabanyizika na buli emu ku zo, n'olwekyo ensasula ey'obwenkanya namba nnamba. Taylor (2021) ateekawo okwegezaamu kuno ne nnamba ezo kkumi; naye ziri kkumi n'emu.

Eky'okusesa

1/37 ya buli ssente za zzaala, ku buli zzaala, buli kwetooloola.

1/37 ya buli ssente za zzaala, ku buli zzaala, buli kwetooloola.

Ensibuko

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Essuula 13, roulette.
  2. Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press, 2013.
  3. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Essuula 2, roulette.
  4. Hunacek, M. Quantitative Literacy Through Games and Gambling. Chapman & Hall/CRC, 2025.
kyakeberebwa 2026-09-28ekyokulabirako: roulette ya Bulaaya, zeero emuenkola y'okubalirira ↗ensibuko ↗