Te Painga o te Whare i te Rūreti
Te wāhanga o ia moni peti e puritia ana e te whare petipeti i te toharite.
Rūreti Ūropi: 2.70% i ia peti paerewa, nā te mea ka tātaihia ngā utunga me te mea he 36 ngā kōhao, engari he 37 kē.
Te pūtakenga
Ko ngā tūpono tōkeke mō te tau kotahipetiTau kotahiHe tau kotahi, ko te utunga 35:1.Pānuitia katoatia → he 36 ki te 1, nā te mea e 36 ngā huarahi ki te hinga mō ia huarahi kotahi ki te toa. Ka utu te whare petipeti i te 35 ki te 1. Ko 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 → e ngaro ana, ka horahia ki ngā putanga 37 he ōrite te tūpono, ko te 1/37 = 2.70% o te moni peti i ia hurihanga. Ka puta taua poto anō i ia 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 →, nā te mea ka whai ia utunga i te ture 36/n − 1: ka utu te takiruapetiTakiruaNgā tau e rua e tata ana, ko te utunga 17:1.Pānuitia katoatia → i te 17, kaua i te 17.5, te tatinipetiTatini1–12, 13–24, 25–36 rānei, ko te utunga 2:1.Pānuitia katoatia → i te 2, kaua i te 2.083, te wheropetiWheroHe peti utu ōrite ki ngā tau whero e 18. Wīwī: rouge.Pānuitia katoatia → i te 1, kaua i te 1.056. Ko te āputa i ngā wā katoa he 1/n wae mō ia toa, ā, he n/37 ngā toa i ia hurihanga, nō reira he 1/37 i ia hurihanga i ngā wā katoa.
Te painga me te pupuritanga
Ko te painga te ngaronga tūmanakopāngarauNgaronga tūmanakoTe uara tūmanako whakareatia ki te tapeke o te moni kua petihia; te moni toharite ka ngaro i roto i te wā tākaro, i tētahi wā rānei.Pānuitia katoatia → mō ia wae ka petihia: 2.70% i ia hurihanga. Ko te pupuritangamoniPupuritangaTe wāhanga o te moni ka mauria e ngā kaitākaro ki te tēpu ka tino puritia e te whare petipeti. He nui ake i te painga o te whare nā te mea ka petihia anō ngā moni toa.Pānuitia katoatia → te wāhanga e tino puritia ana e te whare petipeti o te moni i kawea mai e koe ki te tēpu, ā, he nui ake rawa, nā te mea ka petihia anō e koe ō moni toa. Ko te hoko maramaratēpuHoko maramaraTe whakawhiti moni hei maramara i te tēpu. Ka mahia i waenga i ngā hurihanga, ka whakatakotoria te moni ki te mahere peti, kāore e hoatu ki te ringa o te kaitiritiri.Pānuitia katoatia → $100 ka petihia $10 i ia wā puta noa i ngā hurihanga 200, kua $2,000 tōna tapeke peti, ā, tata ki te $54 kua utua hei painga; ko te pupuritanga o taua hoko maramara he 54%. Ka pūrongo ngā whare petipeti i te pupuritanga; me whakaaro ngā kaitākaro mā te painga.
He aha i ōrite ai te painga o ia peti
He whiringa hoahoa tēnei, ehara i te tūpono noa. I whakaritea te ture 36/n − 1 i te rautau 18, ā, i muri mai ka tangohia te kore-ruamomoKore-ruaTe kōhao 00 o te wīra Amerika. Nā tōna noho ka piki te painga o te whare mai i te 2.70% ki te 5.26%.Pānuitia katoatia → me te kore e pā ki ngā utunga. Me i tōkeke ngā utunga mō ngā kōhaotaputapuKōhaoTētahi o ngā wehenga e 37 kua tauia i te rōta. Arā anō: slot, cup.Pānuitia katoatia → 37, ka utu te tau kotahi i te 36 ki te 1, ā, kāore he moni whiwhi a te whare petipeti. He pai te painga ōrite: kāore he peti rūreti he “peti wairangi” ki te taha o tētahi atu, hāunga anake te peti tau e rima o Amerika, 7.89%.
Ehara te painga o te rūreti i ēnei
Ehara i te tūponotangapāngarauTūponotangaTe tūpono o tētahi putanga, mai i te 0 ki te 1, mai i te 0% ki te 100% rānei. Tau kotahi: 1/37 = 2.70%.Pānuitia katoatia → o te hinga i tētahi wā tākaro; ko te nuinga o ngā wā tākaro poto ka whakatauria e te tītaringapāngarauTītaringaHe inenga o te whānui o te marara o ngā hua huri noa i te uara tūmanako. He teitei mō te tau kotahi, he hakahaka mō ngā peti utu ōrite.Pānuitia katoatia →, ā, tata ki te 42% o ngā wā tākaro utu ōrite o ngā hurihanga 100 ka mutu me te huamoni. Ehara i te utu mō ia wā tākaro; ka piki tahi me te tapeke petimoniTapeke petiTe tapeke o te moni kua petihia i roto i te wā tākaro, i tētahi wā rānei, tae atu ki ngā moni toa kua petihia anō. Arā anō: handle, action.Pānuitia katoatia →, nō reira ko te kaunekerautakiKaunekeIa ture e huri ana i te moni peti i runga i ngā hua o mua. Ka whakapiki ngā kauneke whakarunga i te hinga i muri i ngā hinga, ko ngā kauneke whakarunga i te toa i muri i ngā toa.Pānuitia katoatia → e nui ake ana te peti, ka nui ake te utu. Ehara i te mea ka taea e tētahi tauira peti te whakangoikore, nā te mea ka tāpiri ngā painga o ngā peti i te wā kotahi e ai ki te rahi o ā rātou moni peti.
Ā-moni
Mō ia $1,000 ka petihia, ko te ngaronga tūmanako he $27.03 i te rūreti ŪropimomoRūreti ŪropiHe wīra kore kotahi, 37 ngā kōhao, ko te painga o te whare 2.70%. Koia te tauira matua o tēnei pae.Pānuitia katoatia →, he $52.63 i te rūreti Amerika, he $13.51 i ngā peti utu ōritepetiPeti utu ōriteWhero/pango, kehe/taurite, teitei/hakahaka. 18 ngā tau, ko te utunga 1:1.Pānuitia katoatia → me 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 →. Ko te kaitākaro auau e peti ana i te $500 i ia ahiahi, e rua ngā wā i te wiki, mō te tau kotahi, kua $52,000 tōna tapeke peti, ā, tata ki te $1,400 kua utua hei painga i te wīra Ūropi. He iti te tatau i ia hurihanga, ā, he mau tonu i ia tau.
I ia hurihanga, i ia peti kua whakatauria rānei
Tata ki ia peti rūreti ka whakatauria e te hurihanga kotahi, nō reira he ōrite te tatau o tōna painga i ia hurihanga me tōna painga i ia peti. Ko te peti ka taea te tārewa me te noho tonu ki te mahere petitaputapuMahere petiTe tukutuku peti kua tāia ki te tēpu. Arā anō: tēpu, kākahu tēpu, felt.Pānuitia katoatia →, e rua ōna tatau. Ko te peti kahurangi-kākāriki o Riverboat Roulette ka kapi i ngā tau e 3 o te wīra Amerika, ka toa i te 2 ki te 1 mēnā ka puta tētahi o aua tau i mua i tētahi o ngā tau White e 8, ā, ka tārewa i ngā tau katoa atu. I ia peti kua whakatauria ka ngaro te 2/11 o te moni peti, 18.18%. I ia hurihanga ka ngaro te 2/38, 5.26%, nā te mea i te toharite ka noho te peti mō ngā hurihanga 38/11, tata ki te 3.5. He tika ngā tatau e rua. Ko te tatau i ia hurihanga ka whakatairite i te peti ki ērā atu o te tēpu, ā, ka whakarite i te utu o te hāora kotahi; ko te tatau i ia peti kua whakatauria ka kī mai he aha te wāhanga o ia moni peti ka hoki mai ina whakatauria te peti.
Ina hē te utu a tētahi whare petipeti
Ko ia painga i tēnei whārangi ka ahu mai i te tātai e tika ana i te nuinga o te wā a ngā whare petipeti. I ētahi wā kāore. I Oketopa 1994 ka tukuna e te Grand Casino i Biloxi, Mississippi, te 80 ki te 1 mō ngā mataono e toru ka tapeke ki te 4, ā, he pērā anō mō te 17. E 216 ngā huarahi e taka ai ngā mataono e toru, ā, e 3 anake ka tapeke ki te 4, nō reira i whakahokia e te peti te 81 × 3/216 = 1.125 mō ia wae ka petihia: he painga 12.5% ki te kaitākaro. I kite ngā kaitākaro. Tata ki te $180,000 i ngaro i te whare petipeti i te rā kotahi, ka katia te peti, ā, ka huakina anō i te 60 ki te 1, e huri ana i aua tūpono e 3 i roto i te 216 hei painga 15.3% mō te whare. Ka kōrerotia tēnei e Hunacek (2025), e whakahua ana i a Bollman. He māmā rawa ngā utunga paerewa o te rūreti kia hē pēnei; ko ōna peti tahapetiPeti tahaHe peti tāpiri ka taea te kōwhiri, kua hono ki te kēmu matua, i te nuinga ki tētahi raupapa, ki tētahi takahanga utu tāpiri, ki tētahi taonga nui rānei. I te nuinga o te wā he utu nui ake i ngā peti paerewa.Pānuitia katoatia → rerekē ngā wāhi e tika ana kia tirohia te tātai.
Ngā peti taha i ērā atu kēmu tēpu
Ka whakatakotoria e Bollman (2021) ngā peti matua o te blackjack, te baccarat, te craps me te rūreti ki te taha o ngā peti taha auau i aua tēpu anō. I ngā kēmu tuatahi e toru, he nui ake te utu o te peti taha i te peti matua, he maha ngā wā te nui ake. Ko te kēmu whakamutunga o te tūtohi te rerekē: ko te painga o te rūreti AmerikamomoRūreti AmerikaHe wīra kei a ia te 0 me te 00, 38 ngā kōhao, ko te painga o te whare 5.26%. Ehara i te tauira matua o tēnei pae.Pānuitia katoatia → he 5.26% i ngā peti matua, he nui rawa, ā, ka taea e tētahi peti taha pērā i a Colors, i a WINGO rānei te iti iho.
Te Utu o te Hāora Kotahi, kua WhakatairiteaNgā Peti Taha Rūreti
Tātai
Ngā pātai
Kāo. He 2.70% o te moni ka petihia e koe. Ki te petihia anō aua moni anō, ka petihia anō.
Kāo. He ōwehenga. Ko te ngaronga tūmanako ā-tāra ka piki tahi me te moni peti.
Ki te inea mā te painga, he ōrite ngā peti paerewa Ūropi katoa; ko te rerekētanga anake ko te auau o te toa me te nui o te utu. Me te la partage, ko ngā peti utu ōrite he haurua o ērā atu.
He Pārekareka te Pāngarau
Me whakamātau koe i ēnei i te tuatahi. Kua kōpakina ia otinga; whakatuwherahia ina rite koe.
I runga i te wīra Ūropi, he 2.70% te utu o te peti tau kotahipetiTau kotahiHe tau kotahi, ko te utunga 35:1.Pānuitia katoatia → me te peti ki te wheropetiWheroHe peti utu ōrite ki ngā tau whero e 18. Wīwī: rouge.Pānuitia katoatia →, ahakoa kotahi noa te tau e hipokina ana e tētahi, tekau mā waru e tētahi atu. He aha i ōrite ai te painga o te wharepāngarauPainga o te whareTe wāhanga o ia moni peti ka puritia e te whare petipeti i te toharite: 2.70% i te rūreti Ūropi.Pānuitia katoatia → o ia peti?
Whakaaturia te otinga
Whakautu Ka whakaritea ia 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 → me te mea kāore 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 → i reira, nā reira ka ngaro i ia peti kotahi 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 → i ia hurihanga 37, ahakoa he aha ngā tau e hipokina ana.
Tirohia tētahi peti ki ngā tau e n. Ko tōna utunga (36 − n)/n ki te 1. I ngā hurihanga 37, ka toa, i te toharite, kia n ngā wā, ā, ka hinga kia 37 − n ngā wā.
Ka puta mai i ngā toa te n × (36 − n)/n = 36 − n wae. Ka pau i ngā hinga te 37 − n wae. Ko te rerekētanga, −1 wae i ia hurihanga 37, ā, kua whakakorea te n: he ōrite te hua mō te tau kotahi, mō te kokongapetiKokongaNgā tau e whā e tiritahi ana i tētahi kokonga i te mahere peti, ko te utunga 8:1.Pānuitia katoatia →, mō te tatinipetiTatini1–12, 13–24, 25–36 rānei, ko te utunga 2:1.Pānuitia katoatia → rānei. Kotahi te wae ka ngaro i ia 37, ko te 2.70% tērā.
I runga i te wīra he N ōna kōhaotaputapuKōhaoTētahi o ngā wehenga e 37 kua tauia i te rōta. Arā anō: slot, cup.Pānuitia katoatia →, ka puta i taua tātai anō te (36 − N)/N, nā reira −2/38 = 5.26% i runga i te wīra Amerika. Kotahi anake te peti e takahi ana i te tauira: ko te peti tau e rima o Amerika. E ai ki te ture, me utu 6.2 ki te 1, engari he 6 te utu, ā, he 7.89% tōna utu ki te kaitākaro.
Ko te keno, he kēmu rite ki te rota, ka pupuri i te 25%, neke atu rānei, o ngā moni ka petihia. Mēnā ka tāpiri tētahi whare petipeti i ētahi kore ki te wīra rūreti, ka waiho ngā utunga kia pērā tonu, e hia ngā kore e hiahiatia kia rite te utu o te rūreti ki tō te keno?
Whakaaturia te otinga
Whakautu Tekau mā rua ngā kore: he wīra kōhao 48.
Mēnā he z ngā kore, he 36 + z ngā kōhao o te wīra, ā, e whakaaro tonu ana ngā utunga he 36 noa. E ai ki te ture o te panga i runga ake nei, ka ngaro i ia peti te z wae i ia hurihanga 36 + z, nā reira ko te painga o te whare, ko z/(36 + z).
Whakaritea kia ōrite ki te hauwhā: 4z = 36 + z, nā reira z = 12. Mēnā tekau mā rua ngā kore i runga i te wīra kōhao 48, ka 25% te utu.
Ko te wīra kore-toru o te Las Vegas Strip, te rūreti utu nui rawa ka tūtakina e te nuinga o ngā kaitākaro, he hauwhā noa o tērā maha ōna kore.
korekōhaopainga o te whare1372.70%2385.26%3397.69%44010.00%124825.00%I whakarewaina e te Massachusetts Lottery tētahi wīra i te tau 2023, he 36 ōna tau, kāore he kore. Ko te utu mō te tau kotahi, 25 mō te 1, ā, ko te whero, te pangopetiPangoHe peti utu ōrite ki ngā tau pango e 18. Wīwī: noir.Pānuitia katoatia →, te kehe, te taurite rānei, 3 mō te 2. I te korenga o te kore, he iti iho rānei tōna utu i tō te rūreti?
Whakaaturia te otinga
Whakautu Kāo, he nui kē atu: 30.56% mō te tau kotahi, 25% mō te whero, te pango rānei, ki te taha o te 2.70% i runga i te wīra Ūropi.
Kei roto i te “mō” te moni peti. Ka whakahokia e te peti $1 ki te tau kotahi te $25 kotahi te wā i ia tō 36, i te toharite: $25 ka hoki mai mō te $36 i petihia, he ngaronga $11 i ia 36, 30.56%.
Ka whakahokia e te peti $2 ki te whero te $3 i te haurua o ngā wā: $3 ka hoki mai mō ia $4 i petihia, he ngaronga 25%.
Kotahi noa te kore o ngā huarahi e whakarite ai i te utu. Ka utu te rūreti me te mea he 36 ngā kōhao, ka tāpiri i te kōhao 37; he 36 ngā kōhao o tēnei wīra, ā, he iti iho noa ngā utunga. Ka whakatakotoria e Bollman (2024) hei mahi whakaharatau.
E hiahia ana tētahi whare petipeti ki tētahi peti hōu ki ngā tau matuapāngarauTau matuaHe tau tōpū neke atu i te 1 ka wehea tikatia e te 1 me ia anō anake: 2, 3, 5, 7, 11, 13, ērā atu.Pānuitia katoatia → tekau mā tahi mai i te 1 ki te 36: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29 me te 31. Me pēhea te nui o te utunga kia ōrite tōna utu ki te 2.70% o ia peti atu i runga i te wīra Ūropi? He aha tōna utu mēnā 2 ki te 1?
Whakaaturia te otinga
Whakautu 25 ki te 11, tata ki te 2.27 ki te 1. Mēnā 2 ki te 1, ka 10.81% te utu.
Whakamahia te ture o te panga tuatahi: ka utu te peti ki ngā tau e n i te (36 − n)/n ki te 1. Mēnā n = 11, ko te 25/11 ki te 1 tērā, he utunga uaua, nā te mea ka toa te maramaramoniMaramaraHe tohu e tohu ana i tētahi moni pūmau, ka whakatakotoria ki te mahere peti hei peti. Arā anō: check.Pānuitia katoatia → $10 i te $22.73.
Mēnā 2 ki te 1, ka toa te peti $1 i te $2 i ngā hurihanga 11 o ia 37, ā, ka ngaro te $1 i ērā atu 26: 22 − 26 = −4 wae i ia hurihanga 37, 10.81%.
Koinei te take ka hokona e te rūreti ngā peti ki ngā tau 1, 2, 3, 4, 6, 12 me te 18: ka taea te wehe i te 36 ki ia tau o ēnei, nā reira he tau tōpū te utunga tōkeke. Ka whakatakotoria e Taylor (2021) te mahi whakaharatau me ngā tau matua tekau; tekau mā tahi kē ngā tau matua.
He katakata iti
1/37 o ia moni peti, i ia peti, i ia hurihanga.
Ngā Puna
- 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.