Boule da ƙananan dabarai
Ƙananan ʼyan uwan roulette: dabaran lambobi tara a gidajen caca na Faransa, ɗan lido mai fuska ashirin, allon turaku, dabaran da aka haɗa da kwandon ƙwallaye da tauraron fitilu. Ƙa'ida ɗaya ce ke ƙayyade farashin dukansu.
Boule, wanda har yanzu ake bugawa a wasu gidajen caca na Faransa, yana da lambobi tara kuma yana biyan 7 zuwa 1 a kan ɗaya daga cikinsu: 11.11%, ninki huɗu na dabaran Turai. Roulette-18 yana jefa ɗan lido maimakon juya dabaran kuma yana da tsadar 5.26%. A intanet, Pin Ball da Spingo suna da tsadar 2% zuwa 4.76%, Lucky Star kuma, fitila da ke zagaya tauraro, 2.22% zuwa 4%. Diamond Roulette ya cire ja da baƙi ya sa launuka shida kuma ya sayar da wata caca a 15.79%.
Ƙa'ida ɗaya, ƙananan dabarai
Ƙa'idar da ke shafin dabarai na ban mamaki tana ƙayyade farashin waɗannan wasannin ma: ku ƙirga sakamakon da biyankuɗiBiyaAbin 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 ya kula da su, ku raba da dukan sakamakon. A kan dabaran Turai, 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 → ramikayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → 1 ne cikin 37. A kan ƙaramin dabaran, ramin gidan caca ɗaya kaso mafi girma ne, don haka ƙananan wasanni sukan fi tsada, sai dai idan an tsara biyan ta wata hanya dabam.
Boule: lambobi tara
Boule ƙaramin ɗan uwan roulette ne na Faransa, wanda har yanzu ake bugawa a wasu gidajen caca a Faransa; wani ƙaramin littafin gidan caca a Antibes ya bayyana ƙa'idojinsa. 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 → yana zama a kan ɗaya daga cikin lambobi tara. Huɗu baƙicacaBaƙiCacar ɗaya zuwa ɗaya (even-money) a kan lambobi baƙi 18. A Faransanci: noir.Karanta gaba ɗaya → ne (1, 3, 6, 8), huɗu jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → (2, 4, 7, 9), kuma 5, mai launin rawaya, lambar gidan caca ce. Lamba ɗaya tana biyan 7 zuwa 1. Cace-cacen biya daidai da kuɗin cacacacaCacar ɗaya zuwa ɗaya (even-money)Ja/baƙi, mara/cika, manya/ƙanana. Lambobi 18, biya 1:1.Karanta gaba ɗaya →, ja ko baƙi, mara ko cika, ƙanana (1 zuwa 4) ko manya (6 zuwa 9), duka suna asara idan 5 ya fito. Kowace caca tana da tsadar 1/9 = 11.11%, ninki huɗu na dabaran Turai. Wata siga a Genting a Malaysia tana sanya lambobi 0 zuwa 9 a dabaranta kuma tana biyan 8 zuwa 1 a kan lamba ɗaya da 2 zuwa 1 a kan uku: 10%.
Avions: lambobi goma sha bakwai
Epstein (2013) ya rubuta wani ƙaramin dabaran, Avions, da aka buga na wani lokaci a Monte Carlo, mai lambobi 17. Lamba ɗaya tana biyan 15 zuwa 1, rukunin lambobi huɗu suna biyan 3 zuwa 1, kuma cace-cacen biya daidai da kuɗin caca kowacce tana rufe lambobi takwas, ban da 9, wanda ke taka rawar sifili. Kowace caca tana kaiwa 1/17 = 5.88%, ɗan fiye da 5.26% na Amurka, a kan dabaran da ya kai rabin girman na Turai.
Roulette-18: ɗan lido maimakon dabaran
An nuna Roulette-18 a Global Gaming Expo a 2014 kuma an buga shi a wasu gidajen caca na Grosvenor a Birtaniya. Ɗan lido mai fuska ashirin yana maye gurbin dabaran, da lambobi 1 zuwa 18, 0 da 00. A kan 00 ba a yanke hukuncin komai kuma ana sake jefa ɗan lido, abin da ke barin fuskoki 19 masu aiki tare da biyan da aka tsara don 18: straight upcacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → yana biyan 17 zuwa 1, splitcacaSplitLambobi biyu da ke maƙwabtaka, biya 17:1.Karanta gaba ɗaya → 8 zuwa 1, streetcacaStreetLambobi uku a layi ɗaya na teburin caca, biya 11:1. A Faransanci: transversale.Karanta gaba ɗaya → 5 zuwa 1, cornercacaCornerLambobi huɗu da ke tarayya a kusurwa ɗaya a kan teburin caca, biya 8:1.Karanta gaba ɗaya → 7 zuwa 2, layi 2 zuwa 1. Kowace caca tana da tsadar 1/19 = 5.26%, farashin Amurka, ban da cace-cacen biya daidai da kuɗin caca, waɗanda ke rasa rabi kawai a kan 0: 2.63%.
Pin Ball da Spingo: wasannin intanet
Pin Ball, na Realistic Games, yana jefa ƙwallo ta cikin allon turaku zuwa ɗaya daga cikin ramuka 25, 0 zuwa 24. Cace-cace suna biya kamar akwai 24: lamba ɗaya 23 zuwa 1, split 11 zuwa 1, don haka kowacce tana da tsadar 1/25 = 4%, kuma cace-cacen biya daidai da kuɗin caca suna rasa rabi kawai a kan 0, abin da ke kai su 2%. Spingo, na Microgaming, yana haɗa zaɓe biyu: ƙwallo daga kwandon ƙwallaye 21, biyu-biyu na 1 zuwa 10 da 0 ɗaya, da dabaran mai sassa 25, takwas-takwas na rawaya, ja da shuɗi da kore ɗaya. Lamba tana biyan 9 zuwa 1 kuma tana da tsadar 4.76%; launi yana biyan 2 zuwa 1 kuma yana da tsadar 4%. Caca mafi wuyar samuwa a kan allon, lamba da launi tare, tana biyan 31 zuwa 1 a kan yiwuwar 16 cikin 525 kuma tana da tsadar 2.48% kawai: caca mafi arha a wasan.
Lucky Star: fitila a kan tauraro
Lucky Star, wanda ake bayarwa a wasu gidajen caca na intanet ga ʼyan wasan Birtaniya, ba shi da ƙwallo. Fitila tana zagaya tauraro mai kusurwa biyar da aka zana da layuka madaidaita biyar kuma tana tsayawa a kan ɗaya daga cikin wurare 40 masu lambobi 0 zuwa 8. Wurare biyar da layukan suka haɗu duka suna da lamba 1, kuma fitilar tana wuce kowannensu sau biyu a zagaye ɗaya, don haka zagaye yana da tasha 45 kuma 1 ne sakamako mafi yiwuwa, tasha 10 cikin 45. Cace-cace suna kan lamba, launi (0 da 8 kore; 1, 3 da 6 ja; 2, 4, 5 da 7 baƙi), mara ko cika, ƙanana (1–4) ko manya (5–8), In (ciki) ko Out (waje), da kuma a kan abubuwa biyar na Sinawa, ɗaya ga kowane layi. Biyan “a kan 1” ne kuma yana zuwa da ɓangarori, kamar 2.2 a kan ja, abin da ke ba da damar ƙayyade farashin kowace caca cikin maki biyu na sauran: daga 2.22% zuwa 4%.
Diamond Roulette: launuka shida babu ja
Diamond Roulette ya bayyana a Atlantic City a 2008 a kan dabaran mai sifili biyu wanda lambobinsa ke cikin launuka shida, lambobi shida a kowane launi, kuma babu cacar ja ko baƙi. Launi yana biyan 5 zuwa 1: 5.26%, farashin Amurka da aka saba, ko 2.70% a kan dabaran mai sifili ɗaya. Tarkon shi ne launi da aka ƙara masa 0 da 00: lambobi takwas a 3 zuwa 1, inda ƙa'idar ke buƙatar 3¾ zuwa 1. Tsadarsa ta kai 15.79%. Rage biya zuwa ƙasa da ɗan ɓangare na raka'akuɗiRaka'aKuɗin caca na tushe da tsari ko ɗan wasa ke aiki da shi. Ana bayyana jerin ƙarin caca a raka'a don su yi aiki a kowane tebur.Karanta gaba ɗaya → zai iya sa caca ɗaya ta ninka sauran tsada sau uku.
Abin da ƙananan dabarai ke nunawa
Na'urar tana canjawa; lissafin ba ya canjawa.
- Lambar gidan caca ɗaya cikin tara tana jawo asarar 11.11%; ɗaya cikin 37 tana jawo asarar 2.70%. Yayin da lambobi ke ƙaranci, sifili yana ƙara tsada.
- Ɗan lido, allon turaku ko kwandon ƙwallaye ba ya canja komai: farashin yana cikin adadin sakamako da biyan.
- Dawowar rabi a kan sifili, kamar a Pin Ball da Roulette-18, yana rage fifikon cace-cacen biya daidai da kuɗin caca da rabi, kamar yadda la partageƙa'idaLa partageƘa'idar Faransa: idan sifili ya fito, ana mayar da rabin kuɗin cacar ɗaya zuwa ɗaya (even-money). Tana rage fifikon gidan caca a kan waɗannan cace-cace da rabi, zuwa 1.35%.Karanta gaba ɗaya → ke yi.
- Biya da ɓangarori, kamar a Lucky Star, yana ba mai ƙira damar ƙayyade farashin kowace caca cikin maki ɗaya ko biyu na sauran.
- Ku nemi cacar da aka rage biyanta zuwa ƙasa: 3 zuwa 1 na Diamond maimakon 3¾.
Tambayoyi
A'a. A 11.11% tsadarsa ninki huɗu ce na dabaran Turai. Yana ci gaba da wanzuwa ne saboda yana da sauri da sauƙi, ba don yana da arha ba.
Har yanzu ana buga Boule a wasu gidajen caca na Faransa. An buga Roulette-18 a gidajen caca na Birtaniya a shekarun 2010. Pin Ball, Spingo da Lucky Star wasannin intanet ne, kuma Diamond Roulette ya ɓace daga Atlantic City.
Domin biyanta na 31 zuwa 1 ya fi kusa da adalci, 31.8 zuwa 1, fiye da biyan cace-cace ɗai-ɗai. Ana ƙayyade farashin kowace caca da kanta.
Nishaɗi da lissafi
Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.
Spingo yana zaro 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 → daga cikin akwati mai ƙwallaye 21 (biyu-biyu na 1 zuwa 10, da 0 guda ɗaya) sannan ya juya dabaran mai sassa 25 (takwas-takwas na launuka uku, da kore ɗaya). Lamba tana biyan 9 zuwa 1, launi 2 zuwa 1, lamba da launi tare kuma 31 zuwa 1. Ku lissafa farashin duka ukun.
Nuna mafita
Amsa Lamba 4.76%, launi 4.00%, lamba da launi 2.48%: cacar da ta fi wuyar cin nasara ita ce mafi arha.
Lamba: ƙwallaye 2 cikin 21. $1 da ya ci nasara yana dawo da $10, don haka cacar tana mayarwa 2/21 × 10 = 20/21: fifikon gidan caca na 1/21 = 4.76%.
Launin: sassa 8 cikin 25, yana dawo da $3: 24/25, fifikon gidan caca na 4%.
Duka biyun tare: ƙwallon da dabaran zaɓe-zaɓe ne daban-daban, don haka ana ninka damarsu: 2/21 × 8/25 = 16/525. Wanda ya ci nasara yana dawo da $32, don haka cacar tana mayar da 16 × 32 = 512 a kan 525 da aka sa: fifikon gidan caca na 13/525 = 2.48%.
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 → mai adalci zai zama 509/16, kusan 31.8 zuwa 1, don haka 31 zuwa 1 ya gaza da ƙasa da raka'akuɗiRaka'aKuɗin caca na tushe da tsari ko ɗan wasa ke aiki da shi. Ana bayyana jerin ƙarin caca a raka'a don su yi aiki a kowane tebur.Karanta gaba ɗaya → ɗaya cikin talatin da biyu. Kowace caca a kan allo ana lissafa farashinta ita kaɗai, kuma cace-cacen da ke da wuyar cin nasara ba koyaushe ne mafiya tsada ba.
A Roulette-18, cacar jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → tana rufe 9 daga cikin fuskokin ɗan lido 19 masu aiki, tana biyan kuɗi daidai da kuɗin caca, kuma rabin kuɗin caca kaɗai ake rasawa idan 0 ya fito. Mene ne farashinta?
Nuna mafita
Amsa 1/38, kusan 2.63%.
Ku jefa ɗan lidon sau 19, ba tare da ƙirga 00 da ake sake jefawa ba. A matsakaici ja yana fitowa sau 9 (+9), baƙicacaBaƙiCacar ɗaya zuwa ɗaya (even-money) a kan lambobi baƙi 18. A Faransanci: noir.Karanta gaba ɗaya → sau 9 (−9), 0 kuma sau ɗaya, wanda ke ɗauke rabin kuɗin caca (−½).
Sakamako: −½ cikin jefawa 19, wato 1/38 = 2.63%.
In ba don mayar da rabin ba, zai zama −1 cikin 19, 5.26%, farashin kowace sauran caca a kan ɗan lidon. Mayar da rabi a kan 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 → yana raba fifikon gidan caca biyu, kamar yadda La Partageƙa'idaLa partageƘa'idar Faransa: idan sifili ya fito, ana mayar da rabin kuɗin cacar ɗaya zuwa ɗaya (even-money). Tana rage fifikon gidan caca a kan waɗannan cace-cace da rabi, zuwa 1.35%.Karanta gaba ɗaya → ke yi a teburin Faransa.
Multicolore, wanda aka buga a Monte Carlo a shekarun 1950, yana juya ƙwallo a kan sassadabaranSasheRamuka da ke bin juna a jere a kan dabaran kamar baka, sabanin ƙungiyar lambobi a kan teburin caca.Karanta gaba ɗaya → 25: shida-shida na kore, ja, fari da rawaya, da shuɗi ɗaya. Ana biyan cacar launi bisa ga biyan da aka rubuta a sashen da ƙwallon ya tsaya: 4, 3, 3, 3, 2 da 2 zuwa 1 a kan sassa shida na kowane launi, da 24 zuwa 1 a kan shuɗi. Mene ne farashin kowace caca?
Nuna mafita
Amsa Shuɗi caca ce mai adalci kuma ba ta da farashi ko kaɗan. Farashin kowane sauran launi 8% ne.
Ku yi tunanin juye-juye 25 inda kowane sashe ya fito sau ɗaya. Cacar $1 a kan kore tana cin nasara a sassanta shida, 4 + 3 + 3 + 3 + 2 + 2 = $17, kuma tana rasa $1 a sauran 19: −$2 cikin juye-juye 25, 8%.
Shuɗi yana cin $24 sau ɗaya kuma yana rasa $1 a sauran sassa 24: daidai-wa-daida.
Wasan gidan caca da ke da caca mai adalci ba kasafai ake samunsa ba. Idan aka kwatanta da 11.11% na boule, shuɗin ne kaɗai cacar da ta cancanci a yi a ɗakin. Bollman (2024) ya sa wasan a matsayin atisaye.
Ɗan barkwanci
Lambar gidan caca ɗaya cikin tara ita ce 11.11%.
Majiyoyi
- Wizard of Odds. “Boule”, “Roulette-18”, “Pin Ball”, “Spingo”, “Lucky Star” da “Diamond Roulette”.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.