Taarorɗe Ruleet Ndeenaaka
Taarorɗe jogiiɗe cuuɗi 18, 25, 26, 31, 40, 49, 62, 73 walla 105. Sariya gooto ina tabitina coggu hakkunde majji fof: geɗal cuuɗi ɗi njoɓdi ndii yejjitata.
So njoɓdi ndii tabitinaama hono cuuɗi kasino ɗii ngalaa ɗoon, ɓural kasinomatematikƁural kasinoGeɗal kala pari ngal kasino jogiiyata e hakkundeere: 2,70% e ruleet Orop.Tar fof → ngal ko cuuɗi kasino peccaaɗi e cuuɗi ɗii fof, hay hol mawneeki taarorde ndee. Ko ɓuri heewde e taarorɗe ceertuɗe ɗee ina njokki sariya oo. Ɗe ɓuri haanude ƴeewde ko ɗe ƴeftortaa mo: njoɓdi daŋɗinaandi, taarol bonus, walla pari heddotoongal e taarle keewɗe.
Sariya gooto ngam kala taarorde
Ruleet OropfannuRuleet OropTaarorde seero gooto, cuuɗi 37, ɓural kasino 2,70%. Ko modeel ngol lowre ndee ƴettori.Tar fof → ina yoɓa 35 e 1 hono taarorde ndee ina jogii cuuɗikuutorɗeSuuduGootel e cuuɗi 37 limoraaɗi e rotoor. Ina noddee kadi: wenndu, kopp.Tar fof → 36. Nde jogii 37, suudu majjuundu ndu ko ɓural 2,70% ngal. Sariya oo ina golla e kala taarorde: e limooje N e cuuɗi kasino Z, pari e limooje n yoɓoowo (N − n)/n e 1 ina jogii ɓural Z/(N + Z). Taarorɗe kala mawneeki mahaama walla ndokkaama e dow sariya oo, tabalo oo ina lelna ɗe e coggu mum. Lelnde mum ina rokka kadi ko adii fof e no Royal Roulette, fijo Ostarali, fijetee: limooje mum ko kaartaaje 2 haa lamɗo, cuuɗi kasino mum ɗiɗi ko as e joker, kaartal gootal ina yoɓa 47 e 1.
Ɓurde mawnude ina waawi ɓurde ndiyde coggu
Fijooɓe ina njiya taarorde cuuɗi 62 hono pari ɓurngal saɗtude, ɓe sikka fijo ngoo ko ɓurngo bonnude. Ɓural ngal tuugii ko e geɗal cuuɗi kasino tan. Super 62 ina jogii seerojitaarordeSeeroSuudu haako wootere nde hay pari njoɓdi fotndi, sappo e ɗiɗi walla kolon kuuɓataa; ko ɗum woni iwdi ɓural kasino. Ina noddee kadi: seero gooto, 0.Tar fof → ɗiɗi, hono taarorde Amerik, kono ɗi ko 2 e nder cuuɗi 62 wonaa 2 e nder 38, ɗum noon coggu mum ko 3,23% e kuɗol 5,26%. Roulette 73, e limooje 72 e seero gooto, ina coggotonoo 1,37%, hakkunde ko foti njoɓdi fotndi Farayse. Sariya oo ina golla e laawol goɗngol e taarorde tokooso. Bollman ina sifa taarorde hiɗɗe cuuɗi 18, 1 haa 16 ɓeydaa 0 e 00. E sariya oo, kala pari ina coggotonoo 2/18, 11,11%: cuuɗi kasino ɗiɗi ko geɗal mawngal e taarorde tokooso.
Ɗo sariya oo ƴeftortaa: daŋɗingol
NjoɓdikaalisNjoɓdiKo pari dañndi ruttata, wiyaa “X e 1” ɓeydaa e pari ruttaaɗo.Tar fof → ina haani wonde limoore jetoŋjikaalisJetoŋMaande hollirde kaalis tabitiiɗo, waɗetee e tapi ngam waɗde pari. Ina wiyee kadi: check.Tar fof → haanuundi, so sariya oo rokkii feccere kasino ina daŋɗina les. Pari Avenue e 100 To 1 Roulette ina kuuɓa cuuɗi 15, ina haannoo yoɓde 5⅔ e 1; ina yoɓa 11 e 2, ɗum ina ɓeyda ɓural mum iwde 4,76% haa 7,14%. E Super 62, limooje jeeɗiɗi ina njogii limoore 6 (6, 16, 26, 36, 46, 56, 60), pari e limoore ndee ina yoɓa 7 e 1, ɗum ina waɗa 9,68%, laabi tati tapikuutorɗeTapiKaare pariiji winndaande e taabal. Ina noddee kadi: taabal, feetere, sanyo.Tar fof → ngoo fof heddiiɗo. Pari White e Riverboat Roulette ina kuuɓa limooje 8 e 7 e 2; e taabal mo alaa jetoŋji santiim 50, pari $5 dañoowo ina yoɓee $17 wonaa $17,50, ɗum ina ɓeyda ɓural ngal iwde 5,26% haa 7,37%. Pari limooje joy Amerik, e 7,89%, ko misal anndaangal ɗum kanngal.
Ɗo sariya oo ƴeftortaa: bonus
Fast Action Roulette, puɗɗaaɗo to Marina Bay Sands e hitaande 2020, ina fija e taarorde goonga jogiinde seeroji nay, ndee ina coggotonoo 10% e hoore mum. Limooje Bonus sappo ina njayna e sahaa e kala taarol. Limoore wooterepariLimoore wootereLimoore wootere tan, ina yoɓa 35:1.Tar fof → ina yoɓa 35 e 1, 40 e 1 so limoore mum ko limoore Bonus, 80 e 1 so lelnde mum nde nay fof ko Bonus, ɗum ina addana ɗum 6,65%. Pariiji tati goɗɗi fijo ngoo ina ɓura coggu fota. Double Bonus Spin mo IGT ina ɓeyda suudu Bonus oolndu, yaajeendi suudu gootu e feccere, e taarorde Amerik; so balkuutorɗeBalBal tokoosal werlaangal e laawol ngol e laawol rotoor ngol. Balli jamaanu hannde ko ivorine walla Teflon, 18–21 mm.Tar fof → ngal yani toon, kala pari ina heɓa taarle ɗiɗi meere. E limtol amen, ɗum ina ustoo ɓural ngal hakkunde 1,94% (limoore wootere) e 2,73% (njoɓdi fotndi), les taarorde Amerik ɓolnde. Bollman (2021) ina winnda 3% haa 16% ngam fijo ngoo; jaaɓnirgal mum newnaangal ina jogii juumre aljebra, e pariiji njoɓdi fotndipariPari njoɓdi fotndiBoɗeere/ɓaleere, peccotaake/peccotoonde, mawɗe/tokooseeje. Limooje 18, ina yoɓa 1:1.Tar fof → ina hollira taarle meere ɗee ina majjina ko ɓuri pari ngal, ɗum waawaa wonde.
Ɗo sariya oo ƴeftortaa: pariiji heddotooji
Riverboat Roulette (2012) rokkii limooje 32 taarorde Amerik noone ɗimmo. Daneere ina maandina cuuɗi nay ɗi taaritii kala seero (1, 2, 9, 10, 13, 14, 27, 28). Pari e mooftirde noone ina daña so limoore e majji yaltii ado limoore e nder limooje Daneeje jeetati ɗee. Limoore Daneere ko “White Out” momtoowo kala pari noone. Kala limoore goɗɗe ko fotde: pari ngal ina heddoo, hakkunde taarle ina waawi ƴetteede walla ɓeydeede. Bulaare-haako ina kuuɓa limooje tati ina yoɓa 2 e 1. E kala pari feccitaaɗo ina majjina 2/11 e pari ngal, 18,18%. E kala taarol ina majjina 2/38, 5,26% anndaaɗo oo, sabu pari hakkundeejo ina heddoo taarle 38/11, hakkunde 3,5.
Taarorde nde Thorp waawnoo anndude: Big Six
Big Six, walla taarorde barke, ko taarorde mawnde darnaande jogiinde ɗakkaaji 54: 24 ina njoɓa 1 e 1, 15 ina njoɓa 2 e 1, jeeɗiɗi 5 e 1, nay 10 e 1, ɗiɗi 20 e 1, ɗakkaaji maande ɗiɗi ina njoɓa 40 e 1. Alaa seero; kasino ina ƴetta geɗal mum e yoɓde ko ustii, ɓural ngal ina yaha iwde 11,1% e ɗakkaaji yoɓooji 1 e 1 haa 24,1% e maandeeji ɗii. E hitaande 1961 Thorp mahi kuutorgal anndinoowal ko arata, mawneeki boyet almet, dognirteeɗo butoŋ feɗeere koyngal, e hitaande 1981, nde o ƴeewi waktu taarol gootol taarorde kasino e mondoor jungo, o tawi ina waawi heewde innde nokku ɗo nde darata hakkunde ɗakkaaji joy. Waɗde pari e ɗakkaaji yoɓooji ko heewi ɓadiiɗi ko anndinaa ko tan ina ruttinoo hakkunde +211%, si tawno pariiji ina jaɓee caggal nde taarorde ndee taarnaa. Ɗi jaɓetaake, taarorde ndee kadi ina taaroo hoyɗum e yeeso fof, ɗum noon pari neldaaɗo ina wonnoo ko feeñi; Thorp winndii fijo ngoo alaa golle heewɗe ngam suuɗde gootal.
Ko waɗi ko seeɗa e majji ɗaŋŋi
Taarorde kuutortooɗe ina coggii ujunaaje dolaar, taarorde jogiinde limoore cuuɗi ceertunde ina haani waɗeede e yamiroore. Ɗum noon ko ɓuri heewde e fijooji ruleet kesi ina njogii taarorde aadanteende ndee ɓeyda pariiji, ɗum woni ko waɗi hello pariiji sera ngoo ina ɓuri ngoo juutde. Taarorde ciilal cuuɗi 31 Amerik teemedannde 19ɓiire, e 12,90% e limoore wootere e 9,68% e ko heddii fof, maayi sabu coggu mum. Miijo suudu kasino tataɓuru ngu artii e hitaande 2016 e taarorde cuuɗi 39, ɗo ngu coggii 7,69%.
Naamne
Wonaa e hoore mum. Ɓural ngal ko geɗal cuuɗi kasino: 1 e nder 73 ina ɓuri ndiyde coggu 1 e nder 37.
Roulette 73, e 1,37%, kono ko taarorde saakitaande tan, wonaa taabal mo heɓataa. E nder taarorɗe ɗe fijooɓe ndokkaa, Super 62 e 3,23% ina wona ɗimmo caggal Orop e Farayse.
Bonus ina haani yoɓeede, ko heewi ko e ustugol njoɓdi ɗaɗi ndii walla e pari ceertuɗo jogiiɗo ɓural toowngal.
Weltaare e Matematik
Etu ɗum hoore maa adii. Kala jaabawol ina suuɗii; uddit ɗum so a heblii.
Royal Roulette, nde waɗaa e Ostaraali, ina jogii cuuɗikuutorɗeSuuduGootel e cuuɗi 37 limoraaɗi e rotoor. Ina noddee kadi: wenndu, kopp.Tar fof → 50: kaarteeji 48 iwde 2 haa laamɗo, e as gootal e joker gootal. Kaartal gootal ina njoɓa 47 e 1, kaarteeji ɗiɗi 23 e 1, tati 15 e 1, nay 11 e 1, jeegom 7 e 1, jeetati 5 e 1, sappo e ɗiɗi 3 e 1, sappo e jeegom 2 e 1, noogaas e nay 1 e 1. Sariya honɗo waɗi ɗee njoɓdikaalisNjoɓdiKo pari dañndi ruttata, wiyaa “X e 1” ɓeydaa e pari ruttaaɗo.Tar fof →, pari kala ko ɗum coggata?
Hollu jaabawol ngol
Jaabawol Pari kala e kaarteeji n ina njoɓa (48 − n)/n e 1, ndeen pari kala ina coggi 2/50 = 4%.
Ƴeewto sariya oo e pariiji seeɗa: 47/1 = 47, 36/12 = 3, 32/16 = 2, 24/24 = 1. Ina hawri e ɗi jeenay fof. Sariya oo ina taƴa coggu taarorde ndee wano ina jogii cuuɗi 48, ndeen as oo e joker oo ko cuuɗi kasino ɗiɗi ɗii, wano 0 e 00 e taarorde Amerik.
Cuuɗi kasino ɗiɗi e 50 ina rokka ɓural 4%. Mbaadi “Orop” ina momta joker oo, ina accita njoɓdi ndii: suudu kasino wootere e 49, ɓural 2,04%.
Super 62 ina jogii pari wonde siifar suɓaaɗo ina tawee e limoore dañnde. Waɗ pari ngoo kanko e taarorde Amerik ordinaare. E limooje 1 haa 36, njelu ina njogii siifar kala, njoɓdi honɗi ina njogga 5,26% ordinaare?
Hollu jaabawol ngol
Jaabawol Siifaruuji tawetooɗi e limooje 3 walla 4 tan ina keɓa njoɓdi timmundi (11 e 1 e 8 e 1). Siifaruuji 1, 2 e 3 waawaa njoɓeede no potirta e jetoŋjikaalisJetoŋMaande hollirde kaalis tabitiiɗo, waɗetee e tapi ngam waɗde pari. Ina wiyee kadi: check.Tar fof → timmuɗi.
Limo limooje ɗee. Siifar 1 ina tawee e 1, 10 haa 19, 21 e 31: limooje 13. Siifar 2 kadi ina tawee e limooje 13, siifar 3 e 10. Siifaruuji 4, 5 e 6 ina tawee e limooje nay kala (4, 14, 24, 34), 7, 8 e 9 e tati kala.
Pari e limooje n ina jogga ɓural Amerik si ina njoɓa (36 − n)/n e 1. Ɗum ina rokka 8 e 1 ngam limooje nay e 11 e 1 ngam tati, ɗiɗi ɗee fof timmuɗi. Ngam limooje 13 ina rokka 23/13, hedde 1,77 e 1, ngam limooje 10 kadi 2,6 e 1. Jippin 1,77 haa 7 e 4, pari oo ina coggoo 5,92%; ƴeesin ɗum haa 2 e 1, fijoowo oo ina jogii ɓural 2,63%. Jippingol 2,6 haa 5 e 2 ina waɗa 7,89%.
Siifar 0 ko suɓaade: 10, 20 e 30 tan ina njoɓa 11 e 1 e 5,26%; ɓeydu 0 e 00 ndeen ɗum ko pari limooje joy, 6 e 1 e 7,89%, wano nay adanndepariNay adanndeE taarorde seero gooto: 0, 1, 2, 3 e jetoŋ gooto, ina yoɓa 8:1. Ina wiyee kadi: basket, quatre premiers.Tar fof →.
siifarlimoojesariya ina wiyaina waawi njoɓeedeɓural kasino1, 2131,77 e 17 e 45,92%3102,6 e 15 e 27,89%4, 5, 648 e 18 e 15,26%7, 8, 9311 e 111 e 15,26%100 To 1 Roulette ina njoɓa (100 − n)/n e 1 e ko ɓuri heewde e pariiji, e taarorde limooje 100 e alaameeji kasino 5. Pariiji mum ina kawta cuuɗi 1, 2, 3, 4, 5, 10, 15, 20 walla 50, ina njoɓa 100, 49, 32, 24, 19, 9, 11 e 2, 4 e 1 e 1. Pari limoore wooterepariLimoore wootereLimoore wootere tan, ina yoɓa 35:1.Tar fof → e Avenue cuuɗi 15 ina luutndoo sariya oo. Pari honɗo goɗɗo ina luutndoo ɗum, ko ɗum coggata?
Hollu jaabawol ngol
Jaabawol Pari cuuɗi tati: sariya oo ina wiya 32⅓ e 1, ina njoɓa 32 e 1, ina coggi 5,71% nde wonaa 4,76%.
Ƴeewto njoɓdi kala e sariya oo: 98/2 = 49, 96/4 = 24, 95/5 = 19, 90/10 = 9, 80/20 = 4 e 50/50 = 1 fof ina hawri. Ngam cuuɗi tati sariya oo ina rokka 97/3 = 32⅓, ko jetoŋ alaa waawi njoɓde, ndeen ina jippinee haa 32.
Pari oo ina daña laabi 3 e taarle 105, ina rutta ndeen initeejikaalisInitePari fuɗɗoode mo sistem walla fijoowo gollirta. Jokkondirɗe pari ina cifee e initeeji ngam ɗi kuutoroo e kala taabal.Tar fof → 33, pari oo e mum: 3 × 33 = initeeji 99 ruttaaɗi e 105 kala pariyaaɗi, majjere 6/105 = 5,71%.
Roulette 73, mbaadi yaltinaande, ina jogii limooje 72 e seerotaarordeSeeroSuudu haako wootere nde hay pari njoɓdi fotndi, sappo e ɗiɗi walla kolon kuuɓataa; ko ɗum woni iwdi ɓural kasino. Ina noddee kadi: seero gooto, 0.Tar fof → gooto, pari kala ina njoɓa (72 − n)/n e 1. Limooje mum 24 noone ndoondi ina mbaawi hawteede e jetoŋji 14: pariiji limoore wootere 4 e pariiji limooje ɗiɗipariLimooje ɗiɗiLimooje ɗiɗi takkondirɗe, ina yoɓa 17:1.Tar fof → 10. Pari jetoŋji 14 oo ko ɗum coggata?
Hollu jaabawol ngol
Jaabawol 1,37% jetoŋji 14 ɗii, wano pari kala e taarorde ndee.
Laawol juutngol: limoore wootere ina njoɓa 71 e 1, limooje ɗiɗi 35 e 1. Si limoore e limooje wootere 4 ɗee yalti, a daña 71, a majja jetoŋji 13 heddiiɗi ɗii: +58. Si limoore e limooje 20 pariiji limooje ɗiɗi ɗee yalti: +35 − 13 = +22. E cuuɗi 49 goɗɗi ɗii a majja 14 ɗii fof. E hakkundeere e taarle 73: 4 × 58 + 20 × 22 − 49 × 14 = 232 + 440 − 686 = −14 initeeji, ɗum ko 1/73 jetoŋ kala.
Laawol rabbiɗngol: njaru fodaandumatematikNjaru fodaanduNjeñtudi hakkundeere e kala pari e juuta. −1/37 pari ngam kala pari Orop laawol.Tar fof → ina hawtee. Jetoŋ kala ko pari ordinaare majjata 1/73 mum, ndeen jetoŋji 14 ina majja 14/73. Hawtude pariiji ina waylita no njeñtuɗi ɗii ceerti, wonaa ko ɗi coggata.
Super 62 ina jogii limooje 60, 0 e 00, ina njoɓa (60 − n)/n e 1. Waɗooɓe mum ɓe natii ɗum kadi e suudu kasino wootere, tati e nay. Alphabetic Roulette ina njoɓa (24 − n)/n e 1 e cuuɗi 25, ina jogii mbaadi nde Y e Z ngoni e cuuɗi mum en. Taƴ coggu ɗee joy fof.
Hollu jaabawol ngol
Jaabawol E seeroji gooto haa nay: 1,64%, 3,23%, 4,76% e 6,25%. Alphabetic e Y e Z ceerɗe: 7,69%.
Kala e ɗeen ina jogga njoɓdi mum, ina waylita keewal cuuɗi kasino tan, ndeen ɓural ngal ko cuuɗi kasino ÷ cuuɗi fof.
Seero gooto, cuuɗi 61: 1/61 = 1,64%. Ɗiɗi, cuuɗi 62: 2/62 = 3,23%. Tati, cuuɗi 63: 3/63 = 4,76%. Nay, cuuɗi 64: 4/64 = 6,25%. Seero kala ɓeydaaɗo ina coggi hedde poen gootol e feccere.
Alphabetic ina njoɓa wano ina jogii alkule 24. Si Y e Z ina lomti suudu wootere, kasino ina jogii 1 e 25, 4%. Si Y e Z ceertii, ina jogii 2 e 26, 7,69%, hono taarorde seero tati. Feccude suudu wootere ɗiɗi ina ɓeyda coggu ngu hedde laabi ɗiɗi.
taarordecuuɗicuuɗi kasinoɓural kasinolimooje 60, seero gooto6111,64%Super 626223,23%limooje 60, seeroji tati6334,76%Super 646446,25%Alphabetic2514,00%Alphabetic, Y e Z ceerɗe2627,69%Taarorde ɓooyndi ina jogii cuuɗi 18: 1 haa 16, 0 e 00. Limooje peccotaake e 0 ko boɗeejepariBoɗeerePari njoɓdi fotndi e limooje 18 boɗeeje. E Farayse: rouge.Tar fof →, limooje peccotooje e 00 ko ɓaleejepariƁaleerePari njoɓdi fotndi e limooje 18 ɓaleeje. E Farayse: noir.Tar fof →, limooje 16 ɗee ina njoodi e tapikuutorɗeTapiKaare pariiji winndaande e taabal. Ina noddee kadi: taabal, feetere, sanyo.Tar fof → daawle 4 e kolonji 4. Waɗ tabalo njoɓdikaalisTabalo njoɓdiDoggol ko kala pari walla njeñtudi yoɓata. E masiŋji e pariiji sera, ko ɗoon ɓural kasino tonnditetee.Tar fof → rokkoowo pari kala ɓural gootal. Ko waɗi 0 foti majjinde pari e boɗeere, hay so ko boɗeere?
Hollu jaabawol ngol
Jaabawol Njoɓ (16 − n)/n e 1: 15 e 1 e limoore wootere, 7 e ɗiɗi, 3 e nay, 1 e jeetati. Pari kala ina coggi 11,11%. Si 0 dañii pari boɗeere, boɗeere wonay pari potɗo.
Taƴ coggu taarorde ndee wano 0 e 00 alaa. Pari e limooje n ina daña laabi n e 18, ina njoɓa (16 − n)/n e 1, ndeen ina rutta initeeji 16, pari oo e mum, e 18 kala pariyaaɗi. Pari kala ina coggi 2/18, 11,11%.
Pariiji tapi oo ɓurɗi hoyde ina njaltina njoɓdi timmundi: limoore wootere 15 e 1, ɗiɗi ɓadondirɗe 7 e 1, daawol walla kolonpariKolonLimooje sappo e ɗiɗi e kolon ɗarngal gootal e tapi, ina yoɓa 2:1.Tar fof → nay 3 e 1, daawle ɗiɗi, walla jeetati peccotaake, peccotooje, tokooseeje walla mawɗe, 1 e 1. Pari limooje tati ina sokli 4⅓ e 1; jippinaa haa 4 e 1, ina coggoo 16,67%.
Boɗeere ina hawta limooje jeetati peccotaake ɗee. Si 0, ko boɗeere, ina daña kadi pari boɗeere, boɗeere ina hawta cuuɗi 9 e 18 e 1 e 1: fijo potngomatematikFijo potngoFijo ngo hay sera wootere alaa ɓural: kala pari ina jogii njaru fodaandu potndu e seero.Tar fof → alaa ɓural fof. Cuuɗi kasino ina keɓa ɓural mum en tan e majjinde pariiji fof, si wonaa pari e mum en tigi.
Ƴeewndo weltinoowo
Limto cuuɗi kasino ɗii, refti ƴeewto daŋɗingol ngol.
Iwdi
- 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.”