Cacar mara / cika a roulette
Cacar mara/cika a roulette tana shafar lambobi mara goma sha takwas ko lambobi cika goma sha takwas. Sifili ba ɗaya daga cikinsu ba ne.

Tana biyan 1:1, yiwuwalissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya → 48.65%. Yiwuwa iri ɗaya da ta ja/baƙi.
Wurin ɗorawa
Akwatunan “Even” da “Odd” a jerin waje, tsakanin dozincacaDozin1–12, 13–24 ko 25–36, biya 2:1.Karanta gaba ɗaya → da lu'u-lu'u na launuka; pair da impair a teburin cacakayan aikiTeburin caca (layout)Ragar caca da aka buga a kan tebur. Ana kuma kiransa: table, felt, cloth.Karanta gaba ɗaya → na Faransa. Dole kowanne ya kai mafi ƙarancin cacar teburin.
Shin sifili mara ne ko cika a roulette?
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 → cika ne a lissafi (ana iya raba shi da biyu), kuma yana sa asara ga cacar mara da ta cika duka a teburin roulette. Teburin caca yana warware tambayar ta hanyar rashin sanya sifili a kowanne daga cikin akwatunan biyu. Sababbin ʼyan wasa wani lokaci suna jayayya a kan wannan; croupier sun saba jin haka.
Mara/cika idan aka kwatanta da ja/baƙi
Iri ɗaya ne a lissafi: lambobi 18, 1 zuwa 1, 48.65%. Waɗannan nau'o'in cace-cace biyu sun bambanta ne kawai a kan lambobi goma sha takwas da suke shafa, don haka haɗi kamar “jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → da cika” yana shafar lambobi 28 tare da nasara biyu a kan lambobi takwas da suke ja kuma cika (12, 14, 16, 18, 30, 32, 34, 36). Mai haɗa caca yana lissafa kowace irin wannan haɗuwa.
Launukan lambobi mara da cika a roulette
Mara da ja ba lambobi goma sha takwas iri ɗaya ba ne. Goma daga cikin lambobi mara ja ne, takwas kuma baƙicacaBaƙiCacar ɗaya zuwa ɗaya (even-money) a kan lambobi baƙi 18. A Faransanci: noir.Karanta gaba ɗaya → ne: ja 1, 3, 5, 7, 9, 19, 21, 23, 25 da 27; baƙi 11, 13, 15, 17, 29, 31, 33 da 35. Lambobi cika sun rabu akasin haka, ja takwas da baƙi goma. Don haka ja tare da mara suna shafar lambobi 26, goma daga cikinsu sau biyu, yayin da ja tare da cika ke shafar 28.
Biyan cacar mara/cika a roulette da abin da ake tsammani
Biyan da ya dace da 18 cikin 37 shi ne 1.056 zuwa 1; teburin yana biyan 1. A matsakaicin juye-juye 37 a $10, cacar cika tana cin sau 18 (+$180), tana asara ga lambobi mara goma sha takwas (−$180) kuma tana asara ga sifili sau ɗaya (−$10): −$10 a kan $370 da aka saka, 2.70%. A dabaran mai sifili biyu akwai sifilai biyu da ake asara gare su, kuma kuɗin da ake rasa shi ne $20 a kan $380, 5.26%.
A kan dabaran
Lambobi mara da cika an haɗa su a kewayen dabaran ta yadda babu wani baka da ya fifita ɗaya. An tsara jerin bi-biyu: idan aka kalli dabaran, lambobi mara biyu yawanci suna biye da lambobi cika biyu. Kamar duk cace-cacen wajecacaCacar wajeCaca a kan akwatunan da ke kewaye da raga: dozin, ginshiƙai da cace-cacen ɗaya zuwa ɗaya.Karanta gaba ɗaya →, ba ta shafar wani yankidabaranSasheRamuka da ke bin juna a jere a kan dabaran kamar baka, sabanin ƙungiyar lambobi a kan teburin caca.Karanta gaba ɗaya →.
Dokokin Faransa
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 →, rabin cacar mara ko cika yana dawowa idan sifili ya fito, kuma kuɗin da ake rasa yana raguwa zuwa 1.35%. Da en prisonƙa'idaEn prisonƘa'idar Faransa: idan sifili ya fito, ana riƙe cacar ɗaya zuwa ɗaya (even-money) zuwa juyi na gaba maimakon a rasa ta. Tana rage fifikon gidan caca a kan waɗannan cace-cace da rabi.Karanta gaba ɗaya → cacar tana zama a kan teburin caca na ƙarin juyi ɗaya: idan ta ci ana mayar da ita ba tare da riba ba, idan ta yi asara kuma ana ɗauke ta, wanda ke kai kusan farashi iri ɗaya. Tambayar ko sifili cika ne ba ta taɓa tasowa, domin dokar tana ɗaukar pair da impair daidai.

Misalin wani maraice
$5 a kan mara na juyi 100 shi ne $500 da aka saka, kuma 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 → ita ce $500 ÷ 37 = $13.51. Sauyin da aka saba gani a kusa da wannan adadi kusan $50 ne, tun da standard deviationlissafiStandard deviationTushen murabba'i na bambancin sakamako; nisan da sakamako ke yawan yi daga ƙimar da ake tsammani.Karanta gaba ɗaya → na cace-cacen ɗaya zuwa ɗayacacaCacar ɗaya zuwa ɗaya (even-money)Ja/baƙi, mara/cika, manya/ƙanana. Lambobi 18, biya 1:1.Karanta gaba ɗaya → 100 na $5 shi ne 5 × √100. Kusan maraice biyu cikin uku suna ƙarewa tsakanin asarar $64 da ribar $36.
Tambayoyi
Eh. Mara/cika cacar ɗaya zuwa ɗaya ce kuma tana samun dawowar rabi idan sifili ya fito a teburin Faransa.
Babu dalili na lissafi. Wasu ʼyan wasa suna amfani da duka biyun don rarraba haɗarin jerin sakamako iri ɗaya, wanda ke canza tsarin nasarori amma ba ya canza komai a jimillarsu.
Nishaɗi da lissafi
Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.
Tsofaffin allunakayan aikiTeburin caca (layout)Ragar caca da aka buga a kan tebur. Ana kuma kiransa: table, felt, cloth.Karanta gaba ɗaya → wasu lokuta suna da caca a kan “ƙanana da cika” tare. Tana biyan kuɗi daidai da kuɗin caca idan lambar ƙanana ce (1 zuwa 18) kuma cika ce, tana rasawa idan ba ɗaya daga cikinsu ba ce, ko 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 →, kuma tana zama a wurinta idan ɗaya ce amma ba ɗayan ba. Mene ne farashinta a dabaran roulette na Turai?
Nuna mafita
Amsa 2.70% a kowane juyi, amma 5.26% na kowace caca da aka yanke a zahiri.
Ku ƙirga ramukakayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya →. Ƙanana da cika: 2, 4 … 18, lambobi tara, nasara. Manya da mara: 19, 21 … 35, lambobi tara, tare da sifili, goma gabaɗaya, asara. Sauran goma sha takwas, ƙanana da mara ko manya da cika, suna barin cacar a inda take.
A kowane juyi cacar tana nasara sau 9 cikin 37 kuma tana rasawa sau 10: −1/37, 2.70% da aka saba. Amma a juye-juye 18 cikin 37 babu abin da ke faruwa. Idan aka ƙirga juye-juyen da ke yanke ta kawai, cacar tana rasa 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 → 1 cikin 19, 5.26%, farashin Amurka.
A dabaran roulette na Amurka, da 00 cikin masu asara, farashinta 5.26% ne a kowane juyi da 10% a kowace caca da aka yanke. Bollman (2024) ya ba da ita a matsayin abin sha'awa.
Ɗan barkwanci

Sifili cika ne. Sifili yana sa asara a cacar cika.
Majiyoyi
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.