Lissafin roulette · Aiki · minti 7

Ƙimar da ake tsammani ta cace-cacen baki

Voisins, tiers, orphelinsFR · sasheOrphelins“Marayu”: lambobi takwas da voisins da tiers suka bari: 17, 34, 6 da 1, 20, 14, 31, 9.Karanta gaba ɗaya →, maƙwabta da jeu zéro, kowacce an yi lissafinta har zuwa −1/37 a kan kowace tsabar caca.

Amsa a taƙaice

Cace-cacen baki haɗaɗɗun cace-cace ne na yau da kullum masu nauyi marasa daidaito, don haka biyansu yana bambanta bisa ramikayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya →. Kowacce har yanzu −2.70% ce ta jimillar kuɗin caca, saboda ƙimomin da ake tsammani suna haɗuwa. Shafin yana nuna lissafin dukkan biyar ɗin.

cace-cacen baki
5 na yau da kullum
tsabobin caca
4 zuwa 9
EV a kan tsabar caca
−1/37
biya yana bambanta bisa rami
e

Dalilin da ya sa suke bambanta a gani

Straight upcacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → (cacar lamba ɗaya) tana da sakamako ɗaya da ke biya. Voisins du zéroFR · sasheVoisins du zéro“Maƙwabtan sifili”: lambobi goma sha bakwai daga 22 zuwa 25 a kan dabaran, ana caca a kansu da tsabobin caca tara.Karanta gaba ɗaya → tana da biyakuɗiBiyaAbin da cacar da ta ci ke dawowa da shi, ana faɗinsa a matsayin “X zuwa 1” a kan kuɗin cacar da aka mayar.Karanta gaba ɗaya → iri uku ya danganta da ko ƙwallokayan aikiƘwalloƘaramin ƙwallon da ake jefawa a hanyarsa a akasin juyawar rotor. Ƙwallayen zamani na ivorine ko Teflon ne, 18–21 mm.Karanta gaba ɗaya → ya faɗa a streetcacaStreetLambobi uku a layi ɗaya na teburin caca, biya 11:1. A Faransanci: transversale.Karanta gaba ɗaya → (lambobi uku) mai nauyi ninki biyu, cornercacaCornerLambobi huɗu da ke tarayya a kusurwa ɗaya a kan teburin caca, biya 8:1.Karanta gaba ɗaya → (lambobi huɗu) mai nauyi ninki biyu, ko splitcacaSplitLambobi biyu da ke maƙwabtaka, biya 17:1.Karanta gaba ɗaya → (lambobi biyu) guda ɗaya. Wannan bambance-bambancen yana ɓoye wani abu da ba ya canjawa: kowace tsabar cacakuɗiTsabar cacaAlamar da ke wakiltar ƙayyadadden adadin kuɗi, wadda ake ajiyewa a kan teburin caca don yin caca. Ana kuma kiranta: check.Karanta gaba ɗaya → a cikin cacar caca ce ta yau da kullum da EV −1/37 na kanta, kuma duka cacar ita ce jimillarsu.

Voisins du zéro (tsabobin caca 9, lambobi 17)

2 a kan 0-2-3 (street, tana biyan 11), 2 a kan 25-26-28-29 (corner, tana biyan 8), 1 kowanne a kan splits 4-7, 12-15, 18-21, 19-22, 32-35 (suna biyan 17). Nasara a street: +22 − 7 = +15. Nasara a corner: +16 − 7 = +9. Nasara a split: +17 − 8 = +9. Rashin nasara: −9. EV = (3 × 15 + 4 × 9 + 10 × 9 − 20 × 9)/37 = (45 + 36 + 90 − 180)/37 = −9/37. Tsabobin caca tara, −9/37: −1/37 a kan kowace tsabar caca.

cacar bakitsabobin cacalambobin da take rufewasakamako (ribar tsaf a raka'a, ramuka)EV (raka'a)
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
Maƙwabta (5)55+31 × 5 · −5 × 32−5/37
Jeu zéro47+32 × 1 · +14 × 6 · −4 × 30−4/37
Dukkan sassa uku tare2037+15/+9/+12/+31/+13 bisa rami; ba a taɓa rasa nasara gaba ɗaya−20/37
Ku raba EV da yawan tsabobin caca, sai kowane layi ya zama −1/37.

Tiers du cylindre (tsabobin caca 6, lambobi 12)

Splits shida, kowacce tana biyan 17. Kowace nasara: +17 − 5 = +12. Rashin nasara: −6. EV = (12 × 12 − 25 × 6)/37 = (144 − 150)/37 = −6/37. Cacar bakiteburCacar baki (call bet)Cacar da ake faɗa wa croupier da baki maimakon a ajiye ta da hannu, galibi cacar sashen dabaran kamar voisins ko tiers. Ana kuma kiranta “cacar da aka faɗa”.Karanta gaba ɗaya → mafi saukin tsari: biya ɗaya, asara ɗaya.

Orphelins (tsabobin caca 5, lambobi 8)

Straight up 1 a kan 1 (tana biyan 35), splits 6-9, 14-17, 17-20, 31-34 (suna biyan 17). Nasara a 1: +35 − 4 = +31. Nasara a 17 (splits biyu): +34 − 3 = +31. Nasara a 6, 9, 14, 20, 31, 34: +17 − 4 = +13. Rashin nasara: −5. EV = (31 + 31 + 6 × 13 − 29 × 5)/37 = (62 + 78 − 145)/37 = −5/37.

Maƙwabta da jeu zéro

MaƙwabtacacaMaƙwabta (neighbors)Lamba da ramuka biyu a kowane gefensa a kan dabaran, tsabobin caca biyar na straight up.Karanta gaba ɗaya →: straight ups biyar; kowace nasara +35 − 4 = +31; EV = (5 × 31 − 32 × 5)/37 = (155 − 160)/37 = −5/37. Jeu zéroFR · sasheJeu zéro“Wasan sifili”: lambobi bakwai mafi kusa da sifili (12, 35, 3, 26, 0, 32, 15), ana caca a kansu da tsabobin caca huɗu.Karanta gaba ɗaya →: splits 0-3, 12-15, 32-35 da straight up a kan 26; nasara a 26: +35 − 3 = +32; nasara a split: +17 − 3 = +14; EV = (32 + 6 × 14 − 30 × 4)/37 = (32 + 84 − 120)/37 = −4/37.

Yiwuwar kowace nasara, cace-cacen baki% na juye-juye
Jeu zéro (7)
18.9%
Maƙwabta (5)
13.5%
Orphelins (8)
21.6%
Tiers (12)
32.4%
Voisins (17)
45.9%
Dukkan uku (37)
100%
% na juye-juye
050100%
Rufe komai da tsabobin caca 20 yana tabbatar da sakamako tsakanin raka'a −2 da +16 da EV na −20/37. Wannan tabbaci yana kashe 2.70% kamar kowane abu.

Cacar Jeu Zéro a roulette

A dabaran lantarki

Roulette Evolution na IGT, kamar yadda Bollman (2021) ya bayyana shi, yana ba da waɗannan cace-cacen baki a kan dabaran lantarki mai sifilidabaranSifiliRamin kore guda ɗaya da babu cacar ɗaya zuwa ɗaya, ta dozin ko ta ginshiƙi da ke rufe shi; tushen fifikon gidan caca. Ana kuma kiransa: sifili ɗaya, 0.Karanta gaba ɗaya → ɗaya. Lissafin ba ya canjawa: kowacce har yanzu −1/37 ce a kan kowace tsabar caca. Abin da ke canjawa shi ne hujja ɗaya da ʼyan wasa ke bayarwa don cace-cacen sashen dabarandabaranSasheRamuka da ke bin juna a jere a kan dabaran kamar baka, sabanin ƙungiyar lambobi a kan teburin caca.Karanta gaba ɗaya →. A tebur na gaske wasu suna ganin za su iya karanta ɗabi'un croupier da saurin juyin sosai har su hasashe yankin da ƙwallo zai faɗa, wanda ake kira wheel clocking, kuma cacar baki ita ce hanya ta zahiri ta yin caca a kan yanki. Dabaran lantarki ba shi da croupier da za a karanta, kuma wannan hujja, wadda dama ba ta da ƙarfi a tebur na gaske, ta ɓace.

A dabaran lantarki babu croupier da za a karanta, kuma hujjar yin caca a kan yankin dabaran ta tafi tare da shi.

Na'urorin roulette na lantarki

Darasin

Cace-cacen baki sauƙi ne, ba lissafi ba. Su ne hanya mafi sauri ta yin caca a kan sashen dabaran, kuma hanya ɗaya tilo ta yin hakan a sanarwa ɗaya. Ƙimar da ake tsammanilissafiƘimar da ake tsammaniMatsakaicin sakamako a kowace caca a cikin dogon lokaci. −1/37 na kuɗin caca a kowace cacar Turai ta yau da kullum.Karanta gaba ɗaya → tasu daidai take a kan kowace tsabar caca da ta straight up mafi sauƙi, kuma bambancin biyan ajiyar lissafi ne kawai, ba fifiko ba.

Ƙa'idar lissafi

EV(cacar baki) = Σ EV(tsabobin caca) = −(tsabobin caca)/37
ribar tsaf idan an ci = biyan tsabar (tsabobin) caca da ta ci − tsabobin caca da suka yi asara

Tambayoyi

Akwai wata cacar baki da ta fi daraja?

A'a. Kowacce −1/37 ce a kan kowace tsabar caca. Sun bambanta ne a yawan lambobin da suke rufewa da irin biyansu.

Me ya sa orphelins ke biyan +31 a kan 17?

Splits biyu sun haɗa da 17, don haka nasara tana biyan 17 sau biyu kuma tsabobin caca uku kawai ake asara.

Idan na yi cacar voisins da tsabobin caca 2 a kowane wuri fa?

Tsabobin caca 18, kowane biya ya ninka, EV −18/37. Ƙara girma ba ya canja komai.

Nishaɗi da lissafi

Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.

  1. Wani dabaran na lantarki yana ba da cace-cacen bakiteburCacar baki (call bet)Cacar da ake faɗa wa croupier da baki maimakon a ajiye ta da hannu, galibi cacar sashen dabaran kamar voisins ko tiers. Ana kuma kiranta “cacar da aka faɗa”.Karanta gaba ɗaya → na Faransa: tiers (tsabobin cacakuɗiTsabar cacaAlamar da ke wakiltar ƙayyadadden adadin kuɗi, wadda ake ajiyewa a kan teburin caca don yin caca. Ana kuma kiranta: check.Karanta gaba ɗaya → 6), jeu zéroFR · sasheJeu zéro“Wasan sifili”: lambobi bakwai mafi kusa da sifili (12, 35, 3, 26, 0, 32, 15), ana caca a kansu da tsabobin caca huɗu.Karanta gaba ɗaya → (4), orphelinsFR · sasheOrphelins“Marayu”: lambobi takwas da voisins da tiers suka bari: 17, 34, 6 da 1, 20, 14, 31, 9.Karanta gaba ɗaya → (5), voisins (9) da maƙwabtacacaMaƙwabta (neighbors)Lamba da ramuka biyu a kowane gefensa a kan dabaran, tsabobin caca biyar na straight up.Karanta gaba ɗaya → (5). Ga kowace ɗaya, sau nawa take cin wani abu, kuma nawa take ci?

    Nuna mafita

    Amsa Kowace tana jawo asarar 2.70%. Suna cin wani abu a juye-juye 12, 7, 8, 17 da 5 cikin 37.

    Kuɗin yana biyo bayan dokar da ke wannan shafin: kowace tsabar caca caca ce ta yau da kullum da take rasa 1/37 na kanta, kuma ƙimomin da ake tsammanilissafiƘimar da ake tsammaniMatsakaicin sakamako a kowace caca a cikin dogon lokaci. −1/37 na kuɗin caca a kowace cacar Turai ta yau da kullum.Karanta gaba ɗaya → suna haɗuwa.

    Yiwuwar cin wani abu ita ce adadin ramukankayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → da cacar take rufewa, cikin 37. Tiers tana rufe 12, jeu zéro 7, orphelins 8, voisins kuma 17. Maƙwabta tana rufe lamba ɗaya da ramuka biyu a kowane gefenta a dabaran: 5.

    Bollman (2021) ya bayyana jeu zéro da tsabobin caca huɗu a kan 26 maimakon ɗaya. Wannan yana mai da ita cacar tsabobi 7 kuma yana canza biyantakuɗiBiyaAbin da cacar da ta ci ke dawowa da shi, ana faɗinsa a matsayin “X zuwa 1” a kan kuɗin cacar da aka mayar.Karanta gaba ɗaya →, ba kuɗinta ba: har yanzu 2.70%.

    cacatsabobin cacaramukan da aka rufetana cin wani abufifikon gidan caca
    tiers61232.4%2.70%
    jeu zéro4718.9%2.70%
    orphelins5821.6%2.70%
    voisins91745.9%2.70%
    maƙwabta5513.5%2.70%

Ɗan barkwanci

Tsabobin caca tara, tara cikin talatin da bakwai. Lissafin shi ne tsabobin cacar.

Tsabobin caca tara, tara cikin talatin da bakwai. Lissafin shi ne tsabobin cacar.

Majiyoyi

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Babi na 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. Babi na 2, roulette.
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