Fifikon gidan caca a roulette
Kason kowane kuɗin caca da gidan caca ke riƙewa a matsakaici.

Roulette na Turai: 2.70% a kowace caca ta yau da kullum, domin ana lissafa biya kamar akwai ramuka 36 alhali akwai 37.
Yadda ake samo shi
Biya na adalci ga straight upcacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → zai kasance 36 zuwa 1, domin akwai hanyoyi 36 na yin asara a kan kowace hanya ɗaya ta yin nasara. Gidan caca yana biyan 35 zuwa 1. Raka'arkuɗiRaka'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 → da ta ɓace, idan aka raba ta a kan sakamako 37 masu dama iri ɗaya, ta zama 1/37 = 2.70% na kuɗin caca a kowane juyi. Wannan gibin yana bayyana a kowane 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 → domin kowane biya yana bin ƙa'idar 36/n − 1: splitcacaSplitLambobi biyu da ke maƙwabtaka, biya 17:1.Karanta gaba ɗaya → yana biyan 17 maimakon 17.5, dozincacaDozin1–12, 13–24 ko 25–36, biya 2:1.Karanta gaba ɗaya → 2 maimakon 2.083, jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → 1 maimakon 1.056. Gibin koyaushe raka'a 1/n ne a kowace nasara, kuma nasara n/37 a kowane juyi, don haka koyaushe 1/37 a kowane juyi.
Fifiko da abin da gidan caca ke riƙewa
Fifiko shi ne asarar da ake tsammanilissafiAsarar da ake tsammaniƘimar da ake tsammani sau jimillar kuɗin da aka yi caca da su; matsakaicin adadin da ake rasawa a cikin zaman wasa ko wani lokaci.Karanta gaba ɗaya → a kan kowace raka'a da aka yi caca da ita: 2.70% a kowane juyi. HoldkuɗiHoldKason kuɗin da ʼyan wasa ke kawowa tebur wanda gidan caca ke riƙewa a zahiri. Ya fi fifikon gidan caca girma saboda ana sake yin caca da kuɗin da aka ci.Karanta gaba ɗaya → shi ne abin da gidan caca ke riƙewa a zahiri daga kuɗin da kuka kawo teburin, kuma ya fi yawa ƙwarai domin kuna sake yin caca da kuɗin da kuka ci. Buy-inteburSayen tsabobin cacaMusanya kuɗi da tsabobin caca a tebur. Ana yi ne tsakanin juye-juye, ana ajiye kuɗin a kan teburin caca maimakon a miƙa wa croupier a hannu.Karanta gaba ɗaya → na $100 da aka yi caca da shi $10 a lokaci ɗaya cikin juyi 200 ya zama jimillar caca ta $2,000 kuma ya biya kusan $54 na fifiko; hold a kan wannan buy-in 54% ne. Gidajen caca suna bayar da rahoton hold; amma ʼyan wasa su riƙa tunani da fifiko.
Me ya sa kowace caca take da fifiko iri ɗaya
Zaɓi ne na tsari, ba kwatsam ba. An kafa ƙa'idar 36/n − 1 a ƙarni na 18, kuma daga baya aka cire sifili biyunau'iSifili biyuRamin 00 na dabaran Amurka. Kasancewarsa yana ɗaga fifikon gidan caca daga 2.70% zuwa 5.26%.Karanta gaba ɗaya → ba tare da an taɓa biya ba. Da a ce biya na adalci ne ga ramukakayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → 37, straight up zai biya 36 zuwa 1 kuma gidan caca ba zai sami wani kuɗin shiga ba. Fifiko iri ɗaya yana da sauƙi: babu wata cacar roulette da ta zama “cacar wawaye” idan aka kwatanta da wata, sai dai cacar lambobi biyar ta Amurka mai 7.89% kaɗai.
Abin da fifikon roulette ba shi ba
Ba shi ne yiwuwarlissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya → yin asara a zaman wasa ba; yawancin gajerun zaman wasa bambancin sakamakolissafiBambancin sakamakoMa'aunin yadda sakamako ke yaɗuwa a kewayen ƙimar da ake tsammani. Yana da girma ga straight up, ƙanƙanta ga cace-cacen ɗaya zuwa ɗaya.Karanta gaba ɗaya → ne ke yanke su, kuma kusan 42% na zaman wasa na juyi 100 a cacar ɗaya zuwa ɗaya suna ƙarewa da riba. Ba kuɗin da ake biya a kowane zaman wasa ba ne; yana ƙaruwa tare da jimillar cacakuɗiJimillar cacaJimillar kuɗin da aka yi caca da su a cikin zaman wasa ko wani lokaci, har da kuɗin da aka ci aka sake sawa. Ana kuma kiranta: handle, action.Karanta gaba ɗaya →, don haka jerin ƙarin cacadabaraJerin ƙarin cacaDuk wata ƙa'ida da ke canza kuɗin caca bisa sakamakon da ya gabata. Jerin ƙarin caca bayan asara yana ɗaga shi bayan an rasa, na bayan nasara kuma bayan an ci.Karanta gaba ɗaya → da ke yin caca da kuɗi mafi yawa yana biyan ƙari. Ba abu ne da wani salon caca zai iya rage shi ba, domin fifikon cace-cacen da aka yi a lokaci ɗaya suna haɗuwa daidai da kuɗin cacarsu.
A kuɗi
A kowace $1,000 da aka yi caca da ita, asarar da ake tsammani $27.03 ce a 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 →, $52.63 a na Amurka, $13.51 a cace-cacen ɗaya zuwa ɗayacacaCacar ɗaya zuwa ɗaya (even-money)Ja/baƙi, mara/cika, manya/ƙanana. Lambobi 18, biya 1:1.Karanta gaba ɗaya → tare da 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 →. Ɗan wasa na yau da kullum da ke yin caca da $500 a kowane dare, sau biyu a mako, har tsawon shekara ɗaya ya yi jimillar caca ta $52,000 kuma ya biya kusan $1,400 na fifiko a dabaran Turai. Adadin ƙanƙane ne a kowane juyi amma ba ya tsayawa a kowace shekara.
A kowane juyi ko a kowace caca da aka kammala
Kusan kowace cacar roulette juyi ɗaya ke kammala ta, don haka fifikonta a kowane juyi da fifikonta a kowace caca adadi ɗaya ne. Cacar da za ta iya ƙarewa babu nasara babu asara (push), ta ci gaba da zama a kan layoutkayan aikiTeburin caca (layout)Ragar caca da aka buga a kan tebur. Ana kuma kiransa: table, felt, cloth.Karanta gaba ɗaya →, tana da adadi biyu. Cacar kore-shuɗi (teal) ta Riverboat Roulette tana rufe lambobi 3 na dabaran Amurka, tana yin nasara a 2 zuwa 1 idan ɗaya daga cikinsu ya fito kafin ɗaya daga cikin lambobi 8 farare (White), kuma babu nasara babu asara a kan duk sauran. A kowace caca da aka kammala tana asarar 2/11 na kuɗin caca, 18.18%. A kowane juyi tana asarar 2/38, 5.26%, domin a matsakaici caca tana zama a kan teburi har juyi 38/11, kusan 3.5. Duk adadin biyu daidai ne. Adadin kowane juyi yana kwatanta cacar da sauran teburin kuma yana nuna kuɗin da sa'a ɗaya ke ci; adadin kowace caca da aka kammala yana nuna yawan kowane kuɗin caca da ke dawowa idan cacar ta kammala daga ƙarshe.
Lokacin da gidan caca ya yi kuskure a farashi
Kowane fifiko a wannan shafi ya samo asali ne daga lissafin da gidajen caca kan yi daidai. Wani lokaci ba sa yi. A Oktoba 1994, Grand Casino a Biloxi, Mississippi, ya bayar da 80 zuwa 1 a kan dice uku masu jimilla 4, haka kuma a kan 17. Dice uku suna faɗuwa ta hanyoyi 216 kuma 3 ne kawai daga cikinsu ke da jimilla 4, don haka cacar tana mayar da 81 × 3/216 = 1.125 a kan kowace raka'a da aka saka: fifiko na 12.5% ga ɗan wasa. ʼYan wasa sun lura. Gidan caca ya yi asarar kusan $180,000 a rana ɗaya, ya rufe cacar, sannan ya sake buɗe ta a 60 zuwa 1, wanda ya mayar da wannan dama 3 cikin 216 zuwa fifiko na 15.3% ga gidan caca. Hunacek (2025), yana ambaton Bollman, ya ba da labarin. Biyan roulette na yau da kullum sun fi sauƙi ta yadda ba za a yi irin wannan kuskure a kansu ba; cace-cacen gefensacacaCacar gefeƘarin caca na zaɓi da aka haɗa da babban wasa, galibi a kan jerin sakamako iri ɗaya, wani abin kari ko jackpot. Kusan kullum ta fi cace-cacen yau da kullum tsada.Karanta gaba ɗaya → da ba a saba gani ba su ne inda ya dace a duba lissafin.

Cace-cacen gefe a sauran wasannin teburi
Bollman (2021) ya ajiye manyan cace-cacen blackjack, baccarat, craps da roulette kusa da cace-cacen gefe da aka saba gani a teburi iri ɗaya. A wasanni ukun farko, cacar gefe ta fi babbar caca tsada, sau da yawa ta ninka ta sau da dama. Wanda ya bambanta shi ne wasa na ƙarshe a teburin: fifikon roulette na Amurkanau'iRoulette na AmurkaDabaran da ke da 0 da 00, ramuka 38, fifikon gidan caca 5.26%. Ba shi ne samfurin da wannan shafin ke amfani da shi a kullum ba.Karanta gaba ɗaya → 5.26% ne a manyan cace-cace, adadi mai yawa ta yadda cacar gefe kamar Colors ko WINGO za ta iya zama mafi araha.
Ƙa'idar lissafi
Tambayoyi
A'a. 2.70% ne na abin da kuka yi caca da shi. Idan kuka sake yin caca da kuɗin nan, an sake yin caca da su ke nan.
A'a. Kaso ne. Asarar da ake tsammani a dala tana ƙaruwa tare da kuɗin caca.
Idan aka auna da fifiko, duk cace-cacen roulette na Turai na yau da kullum daidai suke; sun bambanta ne kawai a yawan nasararsu da yawan abin da suke biya. Tare da la partage, cace-cacen ɗaya zuwa ɗaya suna da rabin fifikon sauran.
Nishaɗi da lissafi
Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.
A dabaran roulette na Turai, cacar straight upcacaStraight upLamba ɗaya tak, biya 35:1.Karanta gaba ɗaya → da cacar jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → duka suna da kuɗin 2.70%, ko da yake ɗaya tana rufe lamba ɗaya ne kawai, ɗayan kuma lambobi goma sha takwas. Me ya sa kowace caca take da fifikon gidan cacalissafiFifikon gidan cacaKason kowane kuɗin caca da gidan caca ke riƙewa a matsakaici: 2.70% a roulette na Turai.Karanta gaba ɗaya → iri ɗaya?
Nuna mafita
Amsa An tsara kowane 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 → kamar ba a 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 → a dabaran, don haka kowace caca tana asarar 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 a cikin juye-juye 37, ko me ta rufe.
Ku ɗauki caca a kan lambobi n. Tana biyan (36 − n)/n zuwa 1. A cikin juye-juye 37, a matsakaici, tana cin nasara sau n, tana kuma faɗuwa sau 37 − n.
Nasarorin suna kawo n × (36 − n)/n = 36 − n raka'a. Asarorin suna cinye raka'a 37 − n. Bambancin shi ne −1 raka'a a kowane juye-juye 37, kuma n ta soke kanta: sakamakon iri ɗaya ne ga straight up, ga cornercacaCornerLambobi huɗu da ke tarayya a kusurwa ɗaya a kan teburin caca, biya 8:1.Karanta gaba ɗaya → ko ga dozincacaDozin1–12, 13–24 ko 25–36, biya 2:1.Karanta gaba ɗaya →. Raka'a ɗaya da aka rasa cikin 37 ita ce 2.70%.
A dabaran da ke da ramukakayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → N, lissafin iri ɗaya yana ba da (36 − N)/N, don haka −2/38 = 5.26% a dabaran na Amurka. Caca ɗaya tilo da ta saɓa wa wannan tsari ita ce cacar lambobi biyar ta Amurka: dokar ta ce ya kamata ta biya 6.2 zuwa 1, tana biyan 6, kuma kuɗinta 7.89%.
Keno, wasan da ya yi kama da lottery, yana riƙe da kashi 25% ko fiye na abin da aka saka a caca. Idan gidan caca ya ƙara sifilai a dabaran roulette amma bai canza biyan ba, sifilai nawa ake buƙata don roulette ya yi tsada kamar keno?
Nuna mafita
Amsa Sifilai goma sha biyu: dabaran mai ramuka 48.
Da sifilai z, dabaran yana da ramuka 36 + z, amma biyan har yanzu yana ɗauka ramuka 36 ne. Bisa dokar da ke cikin tambayar da ke sama, kowace caca tana asarar raka'a z cikin juye-juye 36 + z, don haka fifikon gidan caca shi ne z/(36 + z).
Ku daidaita shi da kashi ɗaya cikin huɗu: 4z = 36 + z, don haka z = 12. Sifilai goma sha biyu a dabaran mai ramuka 48 za su jawo asarar 25%.
Dabaran mai sifili uku na Las Vegas Strip, roulette mafi tsada da yawancin ʼyan wasa za su gamu da shi, yana da kashi ɗaya cikin huɗu na wannan adadin.
sifilairamukafifikon gidan caca1372.70%2385.26%3397.69%44010.00%124825.00%Massachusetts Lottery ta ƙaddamar da dabaran a shekarar 2023 mai lambobi 36 ba tare da sifili ba. Lamba ɗaya tana biyan 25 a kan 1, kuma ja, baƙicacaBaƙiCacar ɗaya zuwa ɗaya (even-money) a kan lambobi baƙi 18. A Faransanci: noir.Karanta gaba ɗaya →, mara ko cika tana biyan 3 a kan 2. Tunda babu sifili, shin ya fi roulette araha?
Nuna mafita
Amsa A'a, ya fi tsada nesa ba kusa ba: 30.56% a kan lamba da 25% a kan ja ko baƙi, idan aka kwatanta da 2.70% a dabaran na Turai.
“A kan” ya haɗa da kuɗin caca. Cacar $1 a kan lamba tana dawo da $25 sau ɗaya cikin zagaye 36 a matsakaici: an dawo da $25 a kan $36 da aka saka, asarar $11 cikin 36, wato 30.56%.
Cacar $2 a kan ja tana dawo da $3 rabin lokaci: $3 suna dawowa a kan kowace $4 da aka saka, asarar 25%.
Sifili hanya ɗaya ce kawai ta saita farashi. Roulette yana biya kamar akwai ramuka 36 sannan ya ƙara na 37; wannan dabaran yana da ramuka 36 kuma kawai yana biyan ƙasa da haka. Bollman (2024) ya ba da shi a matsayin atisaye.
Wani gidan caca yana son sabuwar caca a kan lambobin primelissafiLambar firam (prime)Cikakkiyar lamba sama da 1 wadda 1 da ita kanta kaɗai ke rabata daidai: 2, 3, 5, 7, 11, 13 da sauransu.Karanta gaba ɗaya → goma sha ɗaya daga 1 zuwa 36: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 da 31. Nawa ya kamata ta biya don ta jawo asarar 2.70% kamar kowace caca a dabaran na Turai? Nawa za ta ci idan ta biya 2 zuwa 1?
Nuna mafita
Amsa 25 zuwa 11, kusan 2.27 zuwa 1. Idan ta biya 2 zuwa 1 za ta jawo asarar 10.81%.
Ku yi amfani da dokar tambayar farko: caca a kan lambobi n tana biyan (36 − n)/n zuwa 1. Da n = 11 wannan shi ne 25/11 zuwa 1, biya mara sauƙi, tunda 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 → ta $10 za ta ci $22.73.
Idan aka biya 2 zuwa 1, cacar $1 tana cin $2 a juye-juye 11 cikin 37, tana kuma rasa $1 a sauran 26: 22 − 26 = −4 raka'a a kowane juye-juye 37, wato 10.81%.
Shi ya sa roulette yake sayar da cace-cace a kan lambobi 1, 2, 3, 4, 6, 12 da 18: 36 yana rabuwa da kowannensu, don haka biyan adalci cikakken lamba ne. Taylor (2021) ya ba da atisayen da lambobin prime goma; amma a zahiri goma sha ɗaya ne.
Ɗan barkwanci

1/37 na kowane kuɗin caca, a kowace caca, a kowane juyi.
Majiyoyi
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Hunacek, M. Quantitative Literacy Through Games and Gambling.