Dabaran roulette na ban mamaki
Dabarai masu ramuka 18, 25, 26, 31, 40, 49, 62, 73 ko 105. Ƙa'ida ɗaya ce ke ƙayyade farashin kusan dukansu: kason ramukan da biyan ba ya kula da su.
Idan an tsara biyan kamar ramukan gidan caca ba su nan, fifikon gidan cacalissafiFifikon gidan cacaKason kowane kuɗin caca da gidan caca ke riƙewa a matsakaici: 2.70% a roulette na Turai.Karanta gaba ɗaya → shi ne ramukan gidan caca raba da dukan ramuka, ko yaya girman dabaran yake. Yawancin dabarai na ban mamaki suna bin wannan ƙa'ida. Masu ban sha'awa suna karya ta: biyan da aka zagaye, zagayen kyauta, ko caca da ke zama a wurinta na juye-juye da dama.
Ƙa'ida ɗaya ga kowane dabaran
Roulette na Turainau'iRoulette na TuraiDabaran mai sifili ɗaya, ramuka 37, fifikon gidan caca 2.70%. Shi ne babban samfurin wannan shafin.Karanta gaba ɗaya → yana biyan 35 zuwa 1 kamar dabaran yana da ramukakayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → 36. Yana da 37, kuma ramin da ya ɓace shi ne fifiko na 2.70%. Ƙa'ida iri ɗaya tana aiki a kan kowane dabaran: da lambobi N da ramukan gidan caca Z, caca a kan lambobi n da ke biyan (N − n)/n zuwa 1 tana da fifiko na Z/(N + Z). An gina ko an ba da shawarar dabarai na kowane girma bisa wannan ƙa'ida, kuma teburin yana jera su bisa farashi. Layukansa kuma suna ba da muhimman abubuwan yadda ake buga Royal Roulette, wasan Ostiraliya: lambobinsa katuna ne daga 2 zuwa sarki, ramukan gidan caca biyu su ne ace da joker, kuma kati ɗaya yana biyan 47 zuwa 1.
Mafi girma na iya zama mafi arha
ʼYan wasa suna ɗaukar dabaran mai ramuka 62 a matsayin mafi wuyar ci kuma suna zaton wasa ne mafi muni. Fifikon ya dogara ne kawai da kason ramukan gidan caca. Super 62 yana da 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 → biyu, kamar dabaran Amurka, amma su 2 ne cikin ramuka 62 maimakon 2 cikin 38, don haka tsadarsa 3.23% ce maimakon 5.26%. Roulette 73, mai lambobi 72 da sifili ɗaya, zai jawo asarar 1.37%, kusan daidai da cacar biya daidai da kuɗin caca ta Faransa. Ƙa'idar tana aiki ta wata hanyar a kan ƙaramin dabaran. Bollman ya hango wani tsohon dabaran mai ramuka 18, 1 zuwa 16 da 0 da 00. Bisa ƙa'idar, kowace caca za ta jawo asarar 2/18, 11.11%: ramukan gidan caca biyu kaso ne mai girma na ƙaramin dabaran.
Inda ƙa'idar ke karyewa: zagaye adadi
Dole ne 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 → ya zama adadin 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 → mai ma'ana, kuma idan ƙa'idar ta ba da ɓangare, gidan caca yana zagaye shi zuwa ƙasa. Cacar Avenue ta 100 To 1 Roulette tana rufe ramuka 15 kuma ya kamata ta biya 5⅔ zuwa 1; tana biyan 11 zuwa 2, abin da ke ɗaga fifikonta daga 4.76% zuwa 7.14%. A Super 62, lambobi bakwai suna ɗauke da siffar 6 a rubutunsu (6, 16, 26, 36, 46, 56, 60) kuma cacar wannan siffa tana biyan 7 zuwa 1, abin da ke sa ta zama 9.68%, ninki uku na sauran shimfiɗar teburkayan aikiTeburin caca (layout)Ragar caca da aka buga a kan tebur. Ana kuma kiransa: table, felt, cloth.Karanta gaba ɗaya →. Cacar White ta Riverboat Roulette tana rufe lambobi 8 a 7 zuwa 2; a teburin da babu tsabobin caca na cent 50, wanda ya ci da $5 ana biyansa $17 maimakon $17.50, abin da ke ɗaga fifiko daga 5.26% zuwa 7.37%. Cacar lambobi biyar ta Amurka, a 7.89%, ita ce sanannen misalin abu iri ɗaya.
Inda ƙa'idar ke karyewa: kyaututtuka
Fast Action Roulette, wanda aka ƙaddamar a Marina Bay Sands a 2020, yana amfani da dabaran na gaske mai sifili huɗu, wanda shi kaɗai zai jawo asarar 10%. Lambobin Bonus goma suna haskawa bisa kwatsam a kowane juyi. Straight upcacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → yana biyan 35 zuwa 1, 40 zuwa 1 idan lambarsa lambar Bonus ce, da 80 zuwa 1 idan dukan layinsa mai lambobi huɗu Bonus ne, abin da ke kai shi 6.65%. Sauran cace-cace uku na wasan sun fi tsada sosai. Double Bonus Spin na IGT yana ƙara rami rawaya na Bonus, mai faɗin rami ɗaya da rabi, a kan dabaran Amurka; idan 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 sauka a can, kowace caca tana samun juye-juye kyauta biyu. Bisa lissafinmu, hakan yana rage fifiko zuwa tsakanin 1.94% (straight up) da 2.73% (biya daidai da kuɗin caca), ƙasa da dabaran Amurka na kowa. Bollman (2021) ya buga 3% zuwa 16% ga wannan wasa; dabararsa ta lissafi da aka sauƙaƙa tana da kuskuren algebra, kuma ga 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 → tana nuna cewa juye-juyen kyauta suna asarar fiye da kuɗin caca, abin da ba zai yiwu ba.
Inda ƙa'idar ke karyewa: cace-cace da ke zama a wurinsu
Riverboat Roulette (2012) ya ba lambobi 32 na dabaran Amurka launi na biyu. White (fari) yana nuna ramuka huɗu da ke kewaye da kowane sifili (1, 2, 9, 10, 13, 14, 27, 28). Caca a kan rukunin launi tana cin nasara idan ɗaya daga cikin lambobinta ta fito kafin ɗaya daga cikin lambobin White takwas. Lambar White “White Out” ce da ke share kowace cacar launi. Duk sauran lambobi canjaras ne: cacar tana zama a wurinta, kuma tsakanin juye-juye za a iya ɗauke ta ko a ƙara ta. Teal yana rufe lambobi uku kuma yana biyan 2 zuwa 1. A kowace caca da aka kammala tana asarar 2/11 na kuɗin caca, 18.18%. A kowane juyi tana asarar 2/38, sanannen 5.26%, domin matsakaicin caca yana zama a wurinsa 38/11, kusan juye-juye 3.5.
Dabaran da Thorp zai iya hasashe: Big Six
Big Six, ko dabaran sa'a, babban dabaran ne a tsaye mai gurabe 54: 24 suna biyan 1 zuwa 1, 15 suna biyan 2 zuwa 1, bakwai 5 zuwa 1, huɗu 10 zuwa 1, biyu 20 zuwa 1, kuma gurabe biyu na tambari suna biyan 40 zuwa 1. Babu sifili; gidan caca yana ɗaukar kasonsa ta hanyar biyan ƙasa da yadda ya kamata, kuma fifiko yana kama daga 11.1% a gurabe masu biyan 1 zuwa 1 zuwa 24.1% a kan tambarorin. A 1961 Thorp ya gina na'urar hasashe girman akwatin ashana don shi, da ake sarrafawa da makunnin yatsan ƙafa, kuma a 1981, yana auna lokacin juyi ɗaya na dabaran gidan caca da agogon hannu, ya gano cewa yawanci zai iya faɗin wurin tsayawa cikin gurabe biyar. Yin caca a kan gurabe masu biyan da yawa kusa da hasashen kaɗai da ya dawo da kusan +211%, idan da ana karɓar cace-cace bayan an juya dabaran. Ba a karɓa, kuma dabaran yana juyawa a hankali kuma a bayyane, don haka caca ta ƙarshen lokaci za ta bayyana; Thorp ya rubuta cewa wasan ba shi da isasshen hada-hada da zai ɓoye ta.
Me ya sa ƙalilan ne ke yin farin jini
Dabaran ƙwararru yana da tsadar dubban daloli, kuma dabaran mai adadin ramuka na ban mamaki dole ne a ƙera shi bisa oda. Saboda haka yawancin sababbin wasannin roulette suna kiyaye dabaran na yau da kullum kuma suna ƙara cace-cace, shi ya sa shafin cace-cacen gefe ya fi wannan tsayi. Dabaran mikiya mai ramuka 31 na Amurka ta ƙarni na 19, a 12.90% a kan lamba ɗaya da 9.68% a kan duk sauran, ya ɓace saboda tsadarsa. Tunanin ramin gidan caca na uku ya dawo a 2016 a kan dabaran mai ramuka 39, inda yake da tsadar 7.69%.
Tambayoyi
A'a, girma kaɗai ba ya sa haka. Fifikon shi ne kason ramukan gidan caca: 1 cikin 73 ya fi 1 cikin 37 arha.
Roulette 73, a 1.37%, amma ƙira ce da aka wallafa ba teburin da za ku iya samu cikin sauƙi ba. Daga cikin dabaran da aka ba ʼyan wasa, Super 62 a 3.23% ne ke biye bayan na Turai da na Faransa.
Dole ne a biya kuɗin kyauta, yawanci ta rage biyan tushe ko ta caca dabam mai babban fifiko.
Nishaɗi da lissafi
Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.
Royal Roulette, wanda aka ƙirƙira a Ostiraliya, yana da ramukakayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → 50: katuna 48 daga 2 zuwa king, tare da ace ɗaya da joker ɗaya. Kati ɗaya yana biyan 47 zuwa 1, katuna biyu 23 zuwa 1, uku 15 zuwa 1, huɗu 11 zuwa 1, shida 7 zuwa 1, takwas 5 zuwa 1, goma sha biyu 3 zuwa 1, goma sha shida 2 zuwa 1 da ashirin da huɗu 1 zuwa 1. Wace doka ce take samar da waɗannan 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 →, kuma nawa kowace caca take ci?
Nuna mafita
Amsa Kowace caca a kan katuna n tana biyan (48 − n)/n zuwa 1, don haka kowace caca tana jawo asarar 2/50 = 4%.
Ku gwada dokar a kan wasu cace-cace: 47/1 = 47, 36/12 = 3, 32/16 = 2, 24/24 = 1. Ta dace da duka taran. Dokar tana sa farashin dabaran kamar yana da ramuka 48, don haka ace da joker su ne ramukan gidan caca biyu, daidai kamar yadda 0 da 00 suke a dabaran na Amurka.
Ramukan gidan caca biyu cikin 50 suna ba da fifiko na 4%. Salon “na Turai” yana cire joker kuma yana riƙe biyan: ramin gidan caca ɗaya cikin 49, fifiko na 2.04%.
Super 62 yana da caca cewa wata lambar rubutu da aka zaɓa za ta bayyana a lambar da ta ci. Ku tsara wannan cacar don dabaran na Amurka na yau da kullum. Lambobi nawa daga 1 zuwa 36 ne suke ɗauke da kowace lambar rubutu, kuma wane biya ne zai riƙe 5.26% da aka saba?
Nuna mafita
Amsa Lambobin rubutu masu lambobi 3 ko 4 ne kawai suke samun cikakken biya (11 zuwa 1 da 8 zuwa 1). Ba za a iya biyan lambobin rubutu 1, 2 da 3 da adalci a cikakkun 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 → ba.
Ku ƙirga lambobin. Lambar rubutu 1 tana bayyana a 1, 10 zuwa 19, 21 da 31: lambobi 13. Lambar rubutu 2 ma tana cikin lambobi 13, kuma 3 a cikin 10. Lambobin rubutu 4, 5 da 6 suna cikin lambobi huɗu kowanne (4, 14, 24, 34), kuma 7, 8 da 9 a cikin uku kowanne.
Caca a kan lambobi n tana riƙe fifikon Amurka idan ta biya (36 − n)/n zuwa 1. Wannan yana ba da 8 zuwa 1 don lambobi huɗu da 11 zuwa 1 don uku, duka cikakku. Don lambobi 13 yana ba da 23/13, kusan 1.77 zuwa 1, kuma don lambobi 10 2.6 zuwa 1. Ku rage 1.77 zuwa 7 zuwa 4 sai cacar ta jawo asarar 5.92%; ku ƙara shi zuwa 2 zuwa 1 sai ɗan wasa ya sami fifiko na 2.63%. Rage 2.6 zuwa 5 zuwa 2 yana ba da 7.89%.
Lambar rubutu 0 zaɓi ne: 10, 20 da 30 kaɗai suna biyan 11 zuwa 1 a 5.26%; ku ƙara 0 da 00 sai ta zama cacar lambobi biyar, 6 zuwa 1 a 7.89%, kamar basketcacaBasketA dabaran mai sifili ɗaya: 0, 1, 2, 3 da tsabar caca ɗaya, biya 8:1. Ana kuma kiranta: first four, quatre premiers.Karanta gaba ɗaya →.
lambar rubutulambobidokar ta ceza a iya biyafifikon gidan caca1, 2131.77 zuwa 17 zuwa 45.92%3102.6 zuwa 15 zuwa 27.89%4, 5, 648 zuwa 18 zuwa 15.26%7, 8, 9311 zuwa 111 zuwa 15.26%100 To 1 Roulette yana biyan (100 − n)/n zuwa 1 a yawancin cace-cace, a dabaran mai lambobi 100 da alamomin gidan caca 5. Cace-cacensa suna rufe ramuka 1, 2, 3, 4, 5, 10, 15, 20 ko 50 kuma suna biyan 100, 49, 32, 24, 19, 9, 11 zuwa 2, 4 da 1 zuwa 1. Straight upcacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → da Avenue mai ramuka 15 suna saɓa wa dokar. Wace caca ce kuma take saɓa mata, kuma nawa take ci?
Nuna mafita
Amsa Cacar ramuka uku: dokar ta ce 32⅓ zuwa 1, tana biyan 32 zuwa 1, kuma tana jawo asarar 5.71% maimakon 4.76%.
Ku duba kowane biya da dokar: 98/2 = 49, 96/4 = 24, 95/5 = 19, 90/10 = 9, 80/20 = 4 da 50/50 = 1 duka sun dace. Don ramuka uku dokar tana ba da 97/3 = 32⅓, wanda babu tsabar caca da za ta iya biya, don haka an rage shi zuwa 32.
Cacar tana cin nasara sau 3 cikin juye-juye 105 sannan tana dawo 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 → 33 tare da kuɗin caca: 3 × 33 = raka'a 99 ana dawowa a kan kowane 105 da aka saka, asarar 6/105 = 5.71%.
Roulette 73, wani tsari da aka wallafa, yana da lambobi 72 da 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, kuma kowace caca tana biyan (72 − n)/n zuwa 1. Ana iya rufe lambobinsa masu launin toka guda 24 da tsabobin caca 14: straight up 4 da splitcacaSplitLambobi biyu da ke maƙwabtaka, biya 17:1.Karanta gaba ɗaya → 10. Nawa wannan cacar tsabobi 14 take ci?
Nuna mafita
Amsa 1.37% na tsabobin caca 14, kamar kowace caca a wannan dabaran.
Doguwar hanya: straight up tana biyan 71 zuwa 1, split kuma 35 zuwa 1. Idan ɗaya daga cikin lambobin straight up 4 ya fito, kuna cin 71 kuma kuna rasa sauran tsabobi 13: +58. Idan ɗaya daga cikin lambobin split 20 ya fito: +35 − 13 = +22. A sauran ramuka 49 kuna rasa duka 14. A matsakaici cikin juye-juye 73: 4 × 58 + 20 × 22 − 49 × 14 = 232 + 440 − 686 = −14 raka'a, wato 1/73 na kowace tsaba.
Gajeriyar hanya: 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. Kowace tsaba caca ce ta yau da kullum da take rasa 1/73 na kanta, don haka tsabobi 14 suna rasa 14/73. Haɗa cace-cace yana canza yadda sakamakon yake rarrabuwa, ba abin da suke ci ba.
Super 62 yana da lambobi 60, 0 da 00, kuma yana biyan (60 − n)/n zuwa 1. Masu tsara shi sun kuma zana shi da ramukan gidan caca ɗaya, uku da huɗu. Alphabetic Roulette yana biyan (24 − n)/n zuwa 1 a ramuka 25, kuma yana da wani salo inda Y da Z suke a ramukansu daban. Ku sa farashi ga duka biyar.
Nuna mafita
Amsa Da sifili ɗaya zuwa huɗu: 1.64%, 3.23%, 4.76% da 6.25%. Alphabetic tare da Y da Z a ware: 7.69%.
Kowanne daga cikin waɗannan yana riƙe biyansa kuma yana canza yawan ramukan gidan caca kawai, don haka fifikon shi ne ramukan gidan caca ÷ duka ramuka.
Sifili ɗaya, ramuka 61: 1/61 = 1.64%. Biyu, ramuka 62: 2/62 = 3.23%. Uku, ramuka 63: 3/63 = 4.76%. Huɗu, ramuka 64: 4/64 = 6.25%. Kowane sifili da aka ƙara yana ƙara kusan maki ɗaya da rabi.
Alphabetic yana biya kamar yana da haruffa 24. Idan Y da Z suna raba rami ɗaya, gidan caca yana da 1 cikin 25, 4%. Idan Y da Z a ware suke, yana da 2 cikin 26, 7.69%, kamar dabaran mai sifili uku. Raba rami ɗaya gida biyu ya kusa ninka farashin.
dabaranramukaramukan gidan cacafifikon gidan cacalambobi 60, sifili ɗaya6111.64%Super 626223.23%lambobi 60, sifili uku6334.76%Super 646446.25%Alphabetic2514.00%Alphabetic, Y da Z a ware2627.69%Wani tsohon dabaran yana da ramuka 18: 1 zuwa 16, 0 da 00. Lambobin mara da 0 jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → ne, lambobin cika da 00 baƙicacaBaƙiCacar ɗaya zuwa ɗaya (even-money) a kan lambobi baƙi 18. A Faransanci: noir.Karanta gaba ɗaya →, kuma lambobi 16 suna kan teburin cacakayan aikiTeburin caca (layout)Ragar caca da aka buga a kan tebur. Ana kuma kiransa: table, felt, cloth.Karanta gaba ɗaya → mai girman 4 da 4. Ku tsara teburin biyakuɗiTeburin biyaJerin abin da kowace caca ko kowane sakamako ke biya. A injina da cace-cacen gefe, a nan ne ake tsayar da fifikon gidan caca.Karanta gaba ɗaya → da zai ba kowace caca fifiko iri ɗaya. Kuma me ya sa dole 0 ya sa cacar ja ta faɗi, ko da yake shi ja ne?
Nuna mafita
Amsa Ku biya (16 − n)/n zuwa 1: 15 zuwa 1 a kan lamba ɗaya, 7 a kan biyu, 3 a kan huɗu, 1 a kan takwas. Kowace caca tana jawo asarar 11.11%. Idan 0 ya ci cacar ja, ja zai zama caca ta adalci.
Ku sa farashin dabaran kamar 0 da 00 ba sa nan. Caca a kan lambobi n tana cin nasara sau n cikin 18 kuma tana biyan (16 − n)/n zuwa 1, don haka tana dawo da raka'a 16, tare da kuɗin caca, a kan kowane 18 da aka saka. Kowace caca tana jawo asarar 2/18, 11.11%.
Cace-cacen da suka dace da teburin caca suna fitowa cikakku: lamba ɗaya 15 zuwa 1, biyu gefe da gefe 7 zuwa 1, layi ko ginshiƙicacaGinshiƙiLambobi goma sha biyu a cikin ginshiƙi ɗaya a tsaye na teburin caca, biya 2:1.Karanta gaba ɗaya → na lambobi huɗu 3 zuwa 1, da layuka biyu, ko takwas na mara, cika, ƙanana ko manya, 1 zuwa 1. Cacar lambobi uku za ta buƙaci 4⅓ zuwa 1; idan an rage shi zuwa 4 zuwa 1, tana jawo asarar 16.67%.
Ja yana rufe lambobin mara takwas. Idan 0, da yake ja ne, shi ma ya ci cacar ja, ja zai rufe 9 daga cikin ramuka 18 a 1 zuwa 1: wasa na adalcilissafiWasa mai adalciWasan da babu ɓangaren da ke da fifiko: kowace caca tana da ƙimar da ake tsammani ta sifili.Karanta gaba ɗaya → babu fifiko kwata-kwata. Ramukan gidan caca suna samun fifikonsu ne kawai ta hanyar sa kowace caca ta faɗi sai cacar da aka yi a kansu.
Ɗan barkwanci
Ku ƙirga ramukan gidan caca, sannan ku nemi zagaye adadi.
Majiyoyi
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Thorp, E. O. The Mathematics of Gambling.
- Thorp, E. O. “The invention of the first wearable computer.”