Te Boule me ngā Wīra Iti
Ngā whanaunga iti o te rūreti: he wīra e iwa ngā tau i ngā whare petipeti o Wīwī, he mataono e rua tekau ōna mata, he papa titi, he wīra me tētahi kōpaki pōro, he whetū rama. Kotahi te ture e tātai ana i te utu o ēnei katoa.

Ko Boule, e tākarohia tonutia ana i ētahi whare petipeti o Wīwī, e iwa ōna tau, ā, ka utua te 7 ki te 1 mō tētahi o aua tau: 11.11%, e whā whakarea o te wīra Ūropi. Ka whiua e Roulette-18 he mataono, kaua e hurihia he wīra, ā, ko tōna utu he 5.26%. Ā-ipurangi, ko te utu o Pin Ball me Spingo he 2% ki te 4.76%, ā, ko Lucky Star, he rama e oma ana huri noa i tētahi whetū, he 2.22% ki te 4%. I whakarērea e Diamond Roulette te whero me te pango mō ngā tae e ono, ā, i hokona tētahi peti i te 15.79%.
Kotahi te ture, ngā wīra iti
Ko te ture o te whārangi wīra rerekē ka tātai hoki i te utu o ēnei kēmu: tataua ngā hua kāore e aro ana ngā utungamoniUtungaTe moni ka whakahokia e te peti toa, ka kīia ko “X ki te 1”, hei tāpiri ki te moni peti ka whakahokia.Pānuitia katoatia →, ā, wehea ki ngā hua katoa. I runga i te wīra Ūropi, ko te korewīraKoreTe kōhao kākāriki kotahi kāore e kapia e tētahi peti utu ōrite, tatini, tīwae rānei; te pūtake o te painga o te whare. Arā anō: kore kotahi, 0.Pānuitia katoatia → he kōhaotaputapuKōhaoTētahi o ngā wehenga e 37 kua tauia i te rōta. Arā anō: slot, cup.Pānuitia katoatia → 1 i roto i te 37. I runga i te wīra iti, he wāhanga nui ake te kōhao kotahi o te whare, nō reira he nui ake te utu o ngā kēmu iti i te nuinga o te wā, ki te kore e whakaritea kētia ngā utunga.
Boule: e iwa ngā tau
Ko Boule te whanaunga iti Wīwī o te rūreti, e tākarohia tonutia ana i ētahi whare petipeti i Wīwī; ka whakaahuatia ōna ture e tētahi pukapuka iti a tētahi whare petipeti i Antibes. Ka tau te pōrotaputapuPōroTe pōro iti ka panga ki te ara, ki te ahunga kōaro ki te rōta. Ko ngā pōro o nāianei he ivorine, he Teflon rānei, 18–21 mm.Pānuitia katoatia → ki tētahi o ngā tau e iwa. E whā he pangopetiPangoHe peti utu ōrite ki ngā tau pango e 18. Wīwī: noir.Pānuitia katoatia → (1, 3, 6, 8), e whā he wheropetiWheroHe peti utu ōrite ki ngā tau whero e 18. Wīwī: rouge.Pānuitia katoatia → (2, 4, 7, 9), ā, ko te 5, he kōwhai, te tau o te whare. Ka utua te tau kotahi ki te 7 ki te 1. Ko ngā peti utu ōritepetiPeti utu ōriteWhero/pango, kehe/taurite, teitei/hakahaka. 18 ngā tau, ko te utunga 1:1.Pānuitia katoatia →, whero, pango rānei, kehe, taurite rānei, hakahaka (1 ki te 4), teitei (6 ki te 9) rānei, ka hinga katoa ina puta te 5. Ko te utu o ia peti ko 1/9 = 11.11%, e whā whakarea o te wīra Ūropi. Ko tētahi momo i Genting i Marēhia, ka tauhia tōna wīra mai i te 0 ki te 9, ā, ka utua te 8 ki te 1 mō te tau kotahi me te 2 ki te 1 mō ngā tau e toru: 10%.
Avions: tekau mā whitu ngā tau
Ka tuhia e Epstein (2013) tētahi atu wīra iti, ko Avions, i tākarohia mō tētahi wā i Monte Carlo, e 17 ōna tau. I utua te tau kotahi ki te 15 ki te 1, ngā rōpū e whā ki te 3 ki te 1, ā, ka hipa ia peti utu ōrite i ngā tau e waru, waihoki ko te 9 i waho, nāna te tūranga o te kore. Ko te utu o ia peti ko 1/17 = 5.88%, he iti noa te nui ake i te 5.26% o Amerika, i runga i te wīra he haurua te rahi o tō te Ūropi.
Roulette-18: he mataono kaua he wīra
I whakaaturia a Roulette-18 i te Global Gaming Expo i te tau 2014, ā, i tākarohia i ētahi whare petipeti Grosvenor i te Kīngitanga Kotahi. Ko tētahi mataono e rua tekau ōna mata hei whakakapi i te wīra, kei runga ngā tau 1 ki te 18, he 0 me te 00. I te 00 kāore he aha e whakataua, ā, ka whiua anō te mataono, nō reira e 19 ngā mata ora, ā, kua whakaritea ngā utunga mō te 18: ka utua te tau kotahipetiTau kotahiHe tau kotahi, ko te utunga 35:1.Pānuitia katoatia → ki te 17 ki te 1, te takiruapetiTakiruaNgā tau e rua e tata ana, ko te utunga 17:1.Pānuitia katoatia → ki te 8 ki te 1, te rārangipetiRārangiNgā tau e toru i tētahi rārangi o te mahere peti, ko te utunga 11:1. Wīwī: transversale.Pānuitia katoatia → ki te 5 ki te 1, te kokongapetiKokongaNgā tau e whā e tiritahi ana i tētahi kokonga i te mahere peti, ko te utunga 8:1.Pānuitia katoatia → ki te 7 ki te 2, te rārangi rua ki te 2 ki te 1. Ko te utu o ia peti ko 1/19 = 5.26%, te utu o Amerika, hāunga ngā peti utu ōrite, ka ngaro te haurua anake i te 0: 2.63%.

Pin Ball me Spingo: ngā kēmu ā-ipurangi
Ko Pin Ball, nā Realistic Games, ka taka he pōro mā tētahi papa titi ki tētahi o ngā kōwaha e 25, 0 ki te 24. Ka utua ngā peti me te mea nei e 24 anake: te tau kotahi 23 ki te 1, te takirua 11 ki te 1, nō reira ko te utu o ia peti ko 1/25 = 4%, ā, ko ngā peti utu ōrite ka ngaro te haurua anake i te 0, ā, ka heke ki te 2%. Ko Spingo, nā Microgaming, ka hono i ngā tō e rua: he pōro i tētahi kōpaki e 21, e rua o ia tau 1 ki te 10 me te 0 kotahi, me tētahi wīra e 25 ōna wāhanga, e waru ia mea he kōwhai, he whero, he kahurangi, ā, kotahi he kākāriki. Ka utua te tau ki te 9 ki te 1, ā, ko tōna utu he 4.76%; ka utua te tae ki te 2 ki te 1, ā, ko tōna utu he 4%. Ko te peti uaua rawa i te papa, he tau me tētahi tae tahi, ka utua te 31 ki te 1 mō te tūpono 16 i roto i te 525, ā, ko tōna utu he 2.48% noa iho: te peti iti rawa te utu i te kēmu.
Lucky Star: he rama i runga i te whetū
Ko Lucky Star, e tukuna ana i ētahi whare petipeti ā-ipurangi mō ngā kaitākaro o Piritana, kāore he pōro. Ka oma tētahi rama huri noa i tētahi whetū e rima ōna kokoru, he mea tuhi ki ngā rārangi torotika e rima, ā, ka tū ki tētahi o ngā ira e 40 kua tauhia mai i te 0 ki te 8. Ko ngā ira e rima e whakawhiti ai ngā rārangi, he 1 katoa, ā, ka pahure te rama i ia ira kia rua i ia huringa, nō reira e 45 ngā tūnga o te huringa kotahi, ā, ko te 1 te hua tino puta, 10 tūnga i roto i te 45. Ko ngā peti ki tētahi tau, ki tētahi tae (0 me te 8 he kākāriki; 1, 3, 6 he whero; 2, 4, 5, 7 he pango), ki te kehe, ki te taurite rānei, ki te hakahaka (1–4), ki te teitei (5–8) rānei, ki Roto, ki Waho rānei, ā, ki ngā huānga Hainamana e rima, kotahi mō ia rārangi. He “mō te 1” ngā utunga, ā, he hautanga ētahi, pērā i te 2.2 mō te whero, ā, mā tēnā e taea ai te tātai i te utu o ia peti kia kaua e neke atu i te rua ira te rerekē i ērā atu: mai i te 2.22% ki te 4%.
Diamond Roulette: e ono ngā tae, kāore he whero
I puta a Diamond Roulette i Atlantic City i te tau 2008 i runga i te wīra kore-rua, ā, ko ngā tau e ono ngā tae, e ono ngā tau o ia tae, kāore he peti whero, pango rānei. I utua te tae ki te 5 ki te 1: 5.26%, te utu noa o Amerika, he 2.70% rānei i runga i te wīra kore kotahi. Ko te mahanga, he tae kua tāpiritia te 0 me te 00: e waru ngā tau i te 3 ki te 1, engari ko tā te ture he 3¾ ki te 1. Ko tōna utu he 15.79%. Mā te porotai whakararo i te utunga ki tētahi hautanga o te waemoniWaeTe moni peti taketake e mahi ai tētahi pūnaha, tētahi kaitākaro rānei. Ka whakaahuatia ngā kauneke ki ngā wae kia hāngai ai ki ia tēpu.Pānuitia katoatia →, ka taea te whakanui i te utu o tētahi peti kia toru whakarea o ērā atu.

Ngā mea e whakaaturia ana e ngā wīra iti
Ka rerekē te taputapu; kāore te tātai e rerekē.
- Ko te tau kotahi o te whare i roto i te iwa, ko tōna utu he 11.11%; ko te kotahi i roto i te 37, he 2.70%. Ka iti haere ngā tau, ka nui haere te utu o te kore.
- Kāore he aha e rerekē i te mataono, i te papa titi, i te kōpaki rānei: kei te tatau o ngā hua me ngā utunga te utu.
- Ko te whakahoki haurua i te kore, pērā i Pin Ball me Roulette-18, ka haurua i te painga utu ōrite, pērā i tā la partagetureLa partageHe ture Wīwī: ina puta te kore, ka whakahokia te haurua o te moni peti utu ōrite. Ka haurua te painga o te whare i aua peti ki te 1.35%.Pānuitia katoatia →.
- Ko ngā utunga hautanga, pērā i Lucky Star, ka āhei te kaihoahoa ki te tātai i te utu o ia peti kia kaua e neke atu i te kotahi, i te rua ira rānei te rerekē i ērā atu.
- Rapua te peti kua porotaitia whakararotia tōna utunga: te 3 ki te 1 o Diamond, kaua ko te 3¾.
Ngā pātai
Kāo. I te 11.11%, e whā whakarea tōna utu o tō te wīra Ūropi. Ka ora tonu nā te mea he tere, he māmā, ehara nā te iti o te utu.
E tākarohia tonutia ana a Boule i ētahi whare petipeti o Wīwī. I tākarohia a Roulette-18 i ngā whare petipeti o Piritana i ngā tau 2010. He kēmu ā-ipurangi a Pin Ball, Spingo me Lucky Star, ā, kua ngaro a Diamond Roulette i Atlantic City.
Nā te mea he tata ake tōna utunga 31 ki te 1 ki te tōkeke, 31.8 ki te 1, i ngā utunga o ngā peti kotahi. Ka tātaihia te utu o ia peti ko ia anake.
He Pārekareka te Pāngarau
Me whakamātau koe i ēnei i te tuatahi. Kua kōpakina ia otinga; whakatuwherahia ina rite koe.
Ka tōia e Spingo tētahi pōrotaputapuPōroTe pōro iti ka panga ki te ara, ki te ahunga kōaro ki te rōta. Ko ngā pōro o nāianei he ivorine, he Teflon rānei, 18–21 mm.Pānuitia katoatia → i tētahi pouaka o ngā pōro 21 (e rua o ia tau mai i te 1 ki te 10, kotahi te 0), ā, ka hurihia tētahi wīra o ngā wāhanga 25 (e waru o ia tae o ngā tae e toru, kotahi te kākāriki). Ka utu te tau i te 9 ki te 1, te tae i te 2 ki te 1, ā, te tau me te tae tahi i te 31 ki te 1. Tātaihia te utu o ēnei peti e toru.
Whakaaturia te otinga
Whakautu Tau 4.76%, tae 4.00%, tau me te tae 2.48%: ko te peti uaua rawa te peti iti rawa te utu.
He tau: e 2 ngā pōro i ngā 21. Ka whakahokia e te $1 toa te $10, nō reira ka whakahokia e te peti te 2/21 × 10 = 20/21: he painga o te 1/21 = 4.76%.
He tae: e 8 ngā wāhanga i ngā 25, ka whakahokia te $3: 24/25, he painga o te 4%.
Te tau me te tae tahi: he tōnga motuhake te pōro me te wīra, nō reira ka whakareatia ngā tūpono: 2/21 × 8/25 = 16/525. Ka whakahokia e te peti toa te $32, nō reira ka whakahokia e te peti te 16 × 32 = 512 mō te 525 i petihia: he painga o te 13/525 = 2.48%.
Ko te utungamoniUtungaTe moni ka whakahokia e te peti toa, ka kīia ko “X ki te 1”, hei tāpiri ki te moni peti ka whakahokia.Pānuitia katoatia → tōkeke ko te 509/16, tata ki te 31.8 ki te 1, nō reira he poto iho te 31 ki te 1 i te kotahi waemoniWaeTe moni peti taketake e mahi ai tētahi pūnaha, tētahi kaitākaro rānei. Ka whakaahuatia ngā kauneke ki ngā wae kia hāngai ai ki ia tēpu.Pānuitia katoatia → i ngā toru tekau mā rua. Ka tātaihia motuhaketia te utu o ia peti i runga i te papa, ā, ehara i te mea ko ngā peti uaua ngā peti utu nui i ngā wā katoa.
I te Roulette-18 ka kapi i te peti ki te wheropetiWheroHe peti utu ōrite ki ngā tau whero e 18. Wīwī: rouge.Pānuitia katoatia → e 9 o ngā mata ora 19 o te tāi, ka utu ōrite, ā, ko te haurua anake ka ngaro ina puta te 0. He aha tōna utu?
Whakaaturia te otinga
Whakautu 1/38, tata ki te 2.63%.
Whiua te tāi kia 19 ngā wā, me te kore e kaute i ngā 00 ka whiua anōtia. I te toharite ka puta te whero kia 9 ngā wā (+9), te pangopetiPangoHe peti utu ōrite ki ngā tau pango e 18. Wīwī: noir.Pānuitia katoatia → kia 9 ngā wā (−9), ā, te 0 kotahi, ka tangohia te haurua o te moni peti (−½).
Tapeke: −½ i ngā whiunga 19, arā ko te 1/38 = 2.63%.
Mehemea kāore i whakahokia te haurua, ka −1 i ngā 19, 5.26%, te utu o ia peti kē atu i runga i te tāi. Mā te whakahoki i te haurua i te korewīraKoreTe kōhao kākāriki kotahi kāore e kapia e tētahi peti utu ōrite, tatini, tīwae rānei; te pūtake o te painga o te whare. Arā anō: kore kotahi, 0.Pānuitia katoatia → ka haurua te painga, pērā i tā te la partagetureLa partageHe ture Wīwī: ina puta te kore, ka whakahokia te haurua o te moni peti utu ōrite. Ka haurua te painga o te whare i aua peti ki te 1.35%.Pānuitia katoatia → i runga i te tēpu Wīwī.
Ko Multicolore, i tākarohia i Monte Carlo i ngā tau 1950, i hurihia he pōro ki ngā wāhangawīraWāhangaHe pewa kōhao honohono i te wīra, he rerekē i tētahi rōpū i te mahere peti.Pānuitia katoatia → 25: e ono o ia tae o te kākāriki, te whero, te mā me te kōwhai, ā, kotahi te kahurangi. Ka utua te peti ki tētahi tae i te ōwehenga utunga kua tāia ki te wāhanga e tū ai te pōro: 4, 3, 3, 3, 2 me te 2 ki te 1 i ngā wāhanga e ono o ia tae, ā, 24 ki te 1 i te kahurangi. He aha te utu o ia peti?
Whakaaturia te otinga
Whakautu He peti tōkeke te kahurangi, kāore he utu. Ko te utu o ia tae kē atu ko te 8%.
Whakaarohia ngā hurihanga 25 e puta kotahi ai ia wāhanga. Ka toa te peti $1 ki te kākāriki i ōna wāhanga e ono, 4 + 3 + 3 + 3 + 2 + 2 = $17, ā, ka ngaro te $1 i ērā atu e 19: −$2 i ngā hurihanga 25, 8%.
Ka toa te kahurangi i te $24 kotahi, ā, ka ngaro te $1 i ērā atu wāhanga e 24: ōrite tonu.
He onge te kēmu whare petipeti he peti tōkeke kei runga. Ki te taha o te 11.11% o te boule, ko te kahurangi anake te peti i te rūma e tika ana kia petihia. Ka whakatakotoria e Bollman (2024) te kēmu hei whakaharatau.
He katakata iti

Ko te tau kotahi o te whare i roto i te iwa, he 11.11%.
Ngā Puna
- Wizard of Odds. “Boule”, “Roulette-18”, “Pin Ball”, “Spingo”, “Lucky Star” me “Diamond Roulette”.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.