Okubala mu Roulette · Enkozesa · eddakiika 7

Omuwendo Ogusuubirwa ogwa Zzaala ez'Okulangirira

Voisins, tiers, orphelinsFR · ekitundu kya nnamuzigaOrphelins“Bamulekwa”: ennamba omunaana voisins ne tiers ze zireka: 17, 34, 6 ne 1, 20, 14, 31, 9.Soma byonna →, ebinnya ebiriraanye ne jeu zéro, buli emu ebaliddwa okutuuka ku −1/37 ku buli cipu.

Eky'okuddamu mu bufunze

Zzaala ez'okulangirira ngatto za zzaala eza bulijjo ezitaliiko buzito bwenkanankana, kale ensasula zaazo zaawukana okusinziira ku kinnyaebikozesebwaEkinnyaKimu ku bisenge 37 ebiriko ennamba ku rotor. Era biyitibwa: slot, cup.Soma byonna →. Buli emu ekyali −2.70% ku ssente za zzaala zonna, kubanga emiwendo egisuubirwa gigattibwa. Olupapula luno lulaga okubala kwa zonna ettaano.

zzaala ez'okulangirira
5 eza bulijjo
cipu
4 okutuuka ku 9
EV ku buli cipu
−1/37
ensasula zaawukana okusinziira ku kinnya
yee

Lwaki zirabika nga za njawulo

Straight upzzaalaStraight upEnnamba emu yokka, esasula 35:1.Soma byonna → erina ekivaamu kimu kyokka ekisasula. Voisins du zéroFR · ekitundu kya nnamuzigaVoisins du zéro“Baliraanwa ba zeero”: ennamba kkumi na musanvu okuva ku 22 okutuuka ku 25 ku nnamuziga, ezisibibwako ne cipu mwenda.Soma byonna → erina ensasulassenteEnsasulaZzaala ewangudde ky'ekomyawo, ekyogerwa nga “X ku 1” okwongera ku ssente za zzaala ezizzibwayo.Soma byonna → ssatu ez'enjawulo okusinziira ku akapiiraebikozesebwaAkapiiraAkapiira akatono akakasukibwa mu lugudo nga kadduka mu ludda olukontana n'olwa rotor. Obupiira obw'omulembe bwa ivorine oba Teflon, mm 18–21.Soma byonna → oba kagwa mu streetzzaalaStreetEnnamba ssatu mu lunyiriri lumu olw'emmeeza ya zzaala, esasula 11:1. Mu Lufalansa: transversale.Soma byonna → erimu cipu bbiri, mu cornerzzaalaCornerEnnamba nnya ezigabana ensonda emu ku mmeeza ya zzaala, esasula 8:1.Soma byonna → erimu cipu bbiri oba mu splitzzaalaSplitEnnamba bbiri eziriraanaganye, esasula 17:1.Soma byonna → emu. Enjawulo eno ekweka ekitakyuka: buli cipussenteCipuAkabonero akakiikirira omuwendo ogutakyuka, akateekebwa ku mmeeza ya zzaala okusiba zzaala. Era kayitibwa: check.Soma byonna → mu zzaala eno zzaala ya bulijjo erina EV ya −1/37 ku yo yennyini, era zzaala yonna gwe mugatte.

Voisins du zéro (cipu 9, ennamba 17)

2 ku 0-2-3 (street, esasula 11), 2 ku 25-26-28-29 (corner, esasula 8), 1 ku buli split 4-7, 12-15, 18-21, 19-22, 32-35 (zisasula 17). Ng'ejja mu street: +22 − 7 = +15. Ng'ejja mu corner: +16 − 7 = +9. Ng'ejja ku split: +17 − 8 = +9. Obutajja: −9. EV = (3 × 15 + 4 × 9 + 10 × 9 − 20 × 9)/37 = (45 + 36 + 90 − 180)/37 = −9/37. Cipu mwenda, −9/37: −1/37 ku buli cipu.

zzaala ey'okulangiriracipuebikwatibwakoebivaamu (yuniti entuufu, ebinnya)EV (yuniti)
Voisins du zéro917+15 × 3 · +9 × 14 · −9 × 20−9/37
Tiers du cylindre612+12 × 12 · −6 × 25−6/37
Orphelins (en cheval)58+31 × 2 · +13 × 6 · −5 × 29−5/37
Ebinnya ebiriraanye (5)55+31 × 5 · −5 × 32−5/37
Jeu zéro47+32 × 1 · +14 × 6 · −4 × 30−4/37
Ebitundu byonna ebisatu awamu2037+15/+9/+12/+31/+13 okusinziira ku kinnya; tewali butajja−20/37
Gabanya EV ku muwendo gwa cipu, buli lunyiriri lufuuka −1/37.

Tiers du cylindre (cipu 6, ennamba 12)

Split mukaaga, buli emu esasula 17. Okujja kwonna: +17 − 5 = +12. Obutajja: −6. EV = (12 × 12 − 25 × 6)/37 = (144 − 150)/37 = −6/37. Zzaala ey'okulangiriraemmeezaCall betZzaala gy'olangirira eri croupier mu kifo ky'okugiteeka n'omukono, emirundi mingi zzaala ku kitundu kya nnamuziga nga voisins oba tiers. Era eyitibwa “zzaala ey'okulangirira”.Soma byonna → esinga okutebenkera: ensasula emu, okufiirwa kumu.

Orphelins (cipu 5, ennamba 8)

Cipu 1 straight up ku nnamba 1 (esasula 35), split 6-9, 14-17, 17-20, 31-34 (zisasula 17). Ng'ejja ku 1: +35 − 4 = +31. Ng'ejja ku 17 (split bbiri): +34 − 3 = +31. Ng'ejja ku 6, 9, 14, 20, 31, 34: +17 − 4 = +13. Obutajja: −5. EV = (31 + 31 + 6 × 13 − 29 × 5)/37 = (62 + 78 − 145)/37 = −5/37.

Ebinnya ebiriraanye ne jeu zéro

Ebinnya ebiriraanyezzaalaEbinnya ebiriraanyeEnnamba emu n'ebinnya bibiri ku buli ludda lwayo ku nnamuziga, cipu ttaano eza straight up.Soma byonna →: straight up ttaano; okujja kwonna +35 − 4 = +31; EV = (5 × 31 − 32 × 5)/37 = (155 − 160)/37 = −5/37. Jeu zéroFR · ekitundu kya nnamuzigaJeu zéro“Omuzannyo gwa zeero”: ennamba omusanvu ezisinga okuba okumpi ne zeero (12, 35, 3, 26, 0, 32, 15), ezisibwako cipu nnya.Soma byonna →: split 0-3, 12-15, 32-35 ne straight up ku 26; ng'ejja ku 26: +35 − 3 = +32; ng'ejja ku split: +17 − 3 = +14; EV = (32 + 6 × 14 − 30 × 4)/37 = (32 + 84 − 120)/37 = −4/37.

Obusoboka bw'okujja kwonna, zzaala ez'okulangirira% ku kwetooloola
Jeu zéro (7)
18.9%
Ebinnya ebiriraanye (5)
13.5%
Orphelins (8)
21.6%
Tiers (12)
32.4%
Voisins (17)
45.9%
Zonna essatu (37)
100%
% ku kwetooloola
050100%
Okubikka buli kimu na cipu 20 kikakasa ekivaamu wakati wa yuniti −2 ne +16 ne EV ya −20/37. Obukakafu obwo bugula 2.70% nga buli kimu.

Zzaala ya Jeu Zéro mu Roulette

Ku nnamuziga ow'ekyuma (electronic)

Roulette Evolution eya IGT, nga Bollman (2021) bw'agyogerako, ewa zzaala zino ez'okulangirira ku nnamuziga ow'ekyuma alina 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 → emu. Okubala tekukyuka: buli emu ekyali −1/37 ku buli cipu. Ekikyuka ye nsonga emu abazannyi gye bawa ku zzaala z'ekitundu kya nnamuzigannamuzigaEkitundu kya nnamuzigaEkitundu ky'ebinnya ebigoberegana ku nnamuziga, nga kyawukana ku kibinja ku mmeeza ya zzaala.Soma byonna →. Ku mmeeza entuufu abamu bakkiriza nti basobola okusoma empisa za croupier n'embiro z'okwetooloola obulungi ne bateebereza ekitundu akapiira mwe kanaagwa, ekiyitibwa wheel clocking, era zzaala ey'okulangirira y'engeri ey'obulijjo ey'okusiba ku kitundu. Nnamuziga ow'ekyuma talina croupier wa kusoma, era ensonga eyo, enafu ne ku mmeeza entuufu, eggwaawo.

Ku nnamuziga ow'ekyuma tewali croupier wa kusoma, era ensonga y'okusiba ku kitundu kya nnamuziga egenda naye.

Ebyuma bya Roulette eby'Amasannyalaze

Ekyokuyiga

Zzaala ez'okulangirira bwangu bwokka, si kubala. Y'engeri esinga obwangu okusiba ku kitundu kya nnamuziga era y'engeri yokka ey'okukikola mu kulangirira kumu. Omuwendo gwazo ogusuubirwaokubalaOmuwendo ogusuubirwaEkivaamu eky'omu makkati ku buli zzaala mu bbanga eddene. −1/37 ya ssente za zzaala ku buli zzaala eya bulijjo eya Bulaaya.Soma byonna → gwe gumu ku buli cipu nga ogwa straight up esinga obwangu, era enjawulo y'ensasula kubala bubazi, si nkizo.

Ensengekera

EV(zzaala ey'okulangirira) = Σ EV(cipu) = −(cipu)/37
ekivuddemu ekituufu ng'ejja = ensasula ku cipu ewangudde − cipu ezifiiriddwa

Ebibuuzo

Waliwo zzaala ey'okulangirira esinga omuwendo?

Nedda. Buli emu eri −1/37 ku buli cipu. Zaawukana mu bye zibikka n'enkula y'ensasula.

Lwaki orphelins esasula +31 ku 17?

Split bbiri zirimu 17, kale okujja kusasula 17 emirundi ebiri ne kufiirwa cipu ssatu zokka.

Kiba kitya bwe nsiba voisins na cipu 2 ku buli kifo?

Cipu 18, buli nsasula ekubisizzaamu emirundi ebiri, EV −18/37. Okukuza tekukyusa kintu.

Okwesanyusa n'Okubala

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

  1. Nnamuziga ow'amasimu awa zzaala ez'okulangiriraemmeezaCall betZzaala gy'olangirira eri croupier mu kifo ky'okugiteeka n'omukono, emirundi mingi zzaala ku kitundu kya nnamuziga nga voisins oba tiers. Era eyitibwa “zzaala ey'okulangirira”.Soma byonna → eza Bufalansa: tiers (cipussenteCipuAkabonero akakiikirira omuwendo ogutakyuka, akateekebwa ku mmeeza ya zzaala okusiba zzaala. Era kayitibwa: check.Soma byonna → 6), jeu zéroFR · ekitundu kya nnamuzigaJeu zéro“Omuzannyo gwa zeero”: ennamba omusanvu ezisinga okuba okumpi ne zeero (12, 35, 3, 26, 0, 32, 15), ezisibwako cipu nnya.Soma byonna → (4), orphelinsFR · ekitundu kya nnamuzigaOrphelins“Bamulekwa”: ennamba omunaana voisins ne tiers ze zireka: 17, 34, 6 ne 1, 20, 14, 31, 9.Soma byonna → (5), voisins (9) ne ebinnya ebiriraanyezzaalaEbinnya ebiriraanyeEnnamba emu n'ebinnya bibiri ku buli ludda lwayo ku nnamuziga, cipu ttaano eza straight up.Soma byonna → (5). Ku buli emu, emirundi emeka ewangula ekintu, era egula ki?

    Laga okugonjoola

    Eky'okuddamu Buli emu egula 2.70%. Ziwangula ekintu ku kwetooloola 12, 7, 8, 17 ne 5 ku 37.

    Omuwendo guva mu tteeka ku lupapula luno: buli cipu zzaala ya bulijjo efiirwa 1/37 yaayo, era emiwendo egisuubirwaokubalaOmuwendo ogusuubirwaEkivaamu eky'omu makkati ku buli zzaala mu bbanga eddene. −1/37 ya ssente za zzaala ku buli zzaala eya bulijjo eya Bulaaya.Soma byonna → gigattibwa.

    Obusoboka bw'okuwangula ekintu gwe muwendo gw'ebinnyaebikozesebwaEkinnyaKimu ku bisenge 37 ebiriko ennamba ku rotor. Era biyitibwa: slot, cup.Soma byonna → zzaala by'ebikka, ku 37. Tiers ebikka 12, jeu zéro 7, orphelins 8 ne voisins 17. Ebinnya ebiriraanye bibikka ennamba n'ebinnya bibiri ku buli ludda lwayo ku nnamuziga: 5.

    Bollman (2021) annyonnyola jeu zéro ne cipu nnya ku 26 mu kifo ky'emu. Ekyo kikola zzaala ya cipu 7 era kikyusa ensasulassenteEnsasulaZzaala ewangudde ky'ekomyawo, ekyogerwa nga “X ku 1” okwongera ku ssente za zzaala ezizzibwayo.Soma byonna → zaayo, so si muwendo gwayo: gukyali 2.70%.

    zzaalacipuebinnya ebibikkiddwaewangula ekintuenkizo ya kaasino
    tiers61232.4%2.70%
    jeu zéro4718.9%2.70%
    orphelins5821.6%2.70%
    voisins91745.9%2.70%
    ebinnya ebiriraanye5513.5%2.70%

Eky'okusesa

Cipu mwenda, ebitundu mwenda ku asatu mu musanvu. Okubala ze cipu.

Cipu mwenda, ebitundu mwenda ku asatu mu musanvu. Okubala ze cipu.

Ensibuko

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Essuula 13, roulette.
  2. Wykes, A. The Complete Illustrated Guide to Gambling. Doubleday, 1964.
  3. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Essuula 2, roulette.
kyakeberebwa 2026-09-28ekyokulabirako: roulette ya Bulaaya, zeero emuenkola y'okubalirira ↗ensibuko ↗