Miijo Juumɗo: Dabare Ruleet nde Dañata Sahaa Kala
“Mi jogii sistem dañoowal 80% e sahaaji.” Ina waawi. Kono ina majjina kaalis haa jooni.

Sistem ina waawi waɗde jonɗe dañooje ina keewa. Waawaa waɗde njaru fodaandu wonta dañal, sabu kala pari ngo ngal waɗata ko −1/37 e pari mum tee njaruuji fodaaɗi ina kawroo. Sistemji ɓurɗi dañde ko heewi ko ɗi ɓuri majjinde so majjii.
Ko wiyetee
Gooŋɗinal ngal: ina woodi to woni dabare ruleet nde dañata sahaa kala, sistem pariiji waylotooji e ko arti ngal waylitta ruleet fijo dañoowo. Seedeeji hokkaaɗi: jokkondiral jonɗe dañooje, widewo e no dañirtee e ruleet sahaa kala, seedeeyaagal, tabalo hiisa yontere barkeende. Ko wiyetee ko goonga e ko ɓuri heewde; neɗɗo oo ina gooŋɗina ɗum sabu ina golliino.
Ko waɗi ɗum ko juumre, e laawol gootol
Njaruuji fodaaɗimatematikNjaru fodaanduNjeñtudi hakkundeere e kala pari e juuta. −1/37 pari ngam kala pari Orop laawol.Tar fof → ina kawroo. So kala pari ina jogii EV = −1/37 e pari mum, kala jokkondiral pariiji ina jogii EV = −1/37 e ko fof waɗaa pari, hay sariya hol suɓi pariiji ɗii. Sistem ko sariya ngam suɓaade pariiji. Ndeen kala sistem ina jogii EV = −1/37 e kaalis pariyaaɗo fofkaalisKaalis pariyaaɗo fofKawrital kaalis pariyaaɗo nder jonnde walla sahaa, limtaa kadi kaalis dañaaɗo pariyaaɗo kadi. Ina noddee kadi: handle, action.Tar fof →. Ɗum ko teoreem (Doob e Halmos tabitini ɗum e duuɓi 1930; Thorp 1969 ina wiya sartuuji ɗii), tee alaa ko ittetee ngam sariyaaji ganndiraaɗi. Sarɗi gootol ngol haanaa anndude ko pari les: misal Thorp ina waɗa pari $1 000 e boɗeerepariBoɗeerePari njoɓdi fotndi e limooje 18 boɗeeje. E Farayse: rouge.Tar fof →, refti santiim 90, refti santiim 9 e ko nanndi e ɗum, ina ustoo haa abada. E sahaa 18/37 pari adanngol ina daña tee fijoowo ina heddoo e dañal haa abada, hay so njeñtudi fodaande ndee ina heddii −1/37 e ko fof waɗaa pari. Keerol les taabal goonga ina haɗa ɗum, e mum kala jikke heddaade e dañal e juuta.
Ko waɗi ina wa'i no ina golla
Jokkondiral paridabareJokkondiral pariKala sariya waylowo pari e njeñtuɗi ɓennuɗi. Jokkondiral caggal majjere ina ɓeyda pari caggal majjere, caggal dañal ina ɓeyda ɗum caggal dañal.Tar fof → ɓeydagol caggal majjere ina waɗa jonɗe dañooje ina keewa. MartingaledabareMartingaleJokkondiral pari ɓeydoowo pari ɗiɗi laabi caggal kala majjere. Ƴeew hello Dabareeji ngam anndude ko ngal waɗata e ko ngal waɗataa.Tar fof → gila $10 e keerol $500 ina timmina hedde 80% e jonɗe taarle 100 e dañal initeejikaalisInitePari fuɗɗoode mo sistem walla fijoowo gollirta. Jokkondirɗe pari ina cifee e initeeji ngam ɗi kuutoroo e kala taabal.Tar fof → seeɗa. Fijoowo huutoroowo ɗum jonɗe noogaas ina daña sappo e jeegom e majji tee ina siftora ɗum. Jonɗe majjooje nay ɗee, kala e majji ina majjina ko ɓuri ko jonɗe dañooje sappo ndaɓata, tee hiisa ngal e jonɗe noogaas ko majjere. Sistem ngal waylitaani hakkundeere ndee; ina dirni majjere ndee e jonɗe ɓurɗe seeɗaade, ɓurɗe mawnude, ɗo ɗe ɓuri weeɓde innirde kisal bonngal.
Ƴeewndo ngo kala gooto waawi waɗde
“Simulateer Dabare Ruleet” e ndee lowre ina waɗa jonɗe 10 000 e kala sistem, walla kod maa, e nder segonde. Feewnu ɗum e sistem ngal gooŋɗinɗaa tee jangu hakkundeere ndee. So hakkundeere ndee wonnoo dañal e hay feewnugol gootol, ngol hello wiyanno ɗum. Kala feewnugol, kala sistem, kala keerol taabaltaabalKeerol taabalPari ɓurɗo famɗude e ɓurɗo mawnude jaɓaaɗo. Keerol dow ngol ko ngol dartinta jokkondirɗe pari ɓeydooje ɗiɗi laabi.Tar fof → ina hokka hakkundeere −2,70% e kaalis pariyaaɗo fof ɓeydaa bayle sahaa. Seedeeyaaji ko misalji gooto; simulateer ngal ko misalji ujunaaje sappo.
Sistem ngal waawaa majjude
E 1997 binndoowo poker Mike Caro saakiti sistem ruleet ngam gaaje, tee Gambling Times saakititi ngal e 2001. Ɗum ko doggol pariiji ɗi haanaa woɗɗitaade: hay sahaa wata boɗeere walla ɓaleerepariƁaleerePari njoɓdi fotndi e limooje 18 ɓaleeje. E Farayse: noir.Tar fof →, peccotaake walla peccotoonde, walla 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 →; wata limooje boɗeeje peccotaake tee wata ɓaleeje peccotooje; tee hay huunde e 30, walla e jokkondiral juutngal cuuɗikuutorɗeSuuduGootel e cuuɗi 37 limoraaɗi e rotoor. Ina noddee kadi: wenndu, kopp.Tar fof → gila 11 e laawol montoor haa 14 e taarorde Amerik. Jiiɓondir sariyaaji ɗii tee hay limoore heddataa. Cuuɗi tan ɗi ngonaa e ngal jokkondiral ko 0, 28, 9, 26, 30 e 2; 30 ina haɗaa e innde mum, tee goɗɗi ɗii ko seero, peccotooje e ɓaleeje, walla peccotaake e boɗeeje. Fijoowo rewɗo sistem ngal waɗataa pari hay sahaa tee majjataa hay sahaa. Ɓural mum ko seero, tee ko kanngal tan woni sistem ruleet goongɗungal e no ngal yottortoo ɗoon.

Sistemji jogiiɗi inɗe, laawol gootol kala
Sistemji soodetengi e innde, walla no feere dañde e ruleet, ceertaaki. Kala e majji ko pariiji, tee kala pari ina yoɓa taarorde ndee 2,70% mum. Bollman (2024) ina hiisa won e majji e taarorde Amerik, ɗo kala gootol coggiri 5,26%; ɗoo ko e taarorde Orop.
Mbaadi goonga
Sistemji ina mbaylita mbaadi jonnde: no a dañirta ko heewi, no dañe ɗee mawniri, no ko ɓuri bonde boniri. Ɗum ko suɓaade goonga tee fijoowo ina waawi ɓurnude mbaadi wootere e goɗnde. Ko sistemji waylitaa ko coggu ngu, ngu woni 2,70% e kala ko waɗaa pari, tee sabu jokkondiral pari ina ɓura waɗde pari pari fotɗidabarePari fotɗiWaɗde pari gooto kala taarol. Ko ɗum kala jokkondiral pari kawrondirtee.Tar fof →, ina ɓura yoɓde e mum.
Naamne
Lebbi jeegom jonɗe kala yontere ko hedde jonɗe 25. Martingale ina daña 80% e majji. Jonɗe majjooje ɗee ina ngara, tee ina ɓuri mawnude.
Sariya darnde ina usta kaalis pariyaaɗo fof, ndeen ina usta majjere fodaandematematikMajjere fodaandeNjaru fodaandu fiyaandu e kaalis pariyaaɗo fof; ko hakkundeere kaalis majjataako nder jonnde walla nder sahaa.Tar fof →. Waɗataa ɗum dañal.
Wonaa e taarorde peewnde. E taarorde ooñiindelaboratuwaarTaarorde ooñiindeTaarorde nde ŋakkeeli mum ɗi fiisik waɗi cuuɗi goɗɗi ina ɓura yaltude 1/37. Ina woowaa, anndetaake si wonaa e taarle ujunaaje winndaaɗe.Tar fof →, ɗum ko caɗeele fiziik, wonaa sistem.
Weltaare e Matematik
Etu ɗum hoore maa adii. Kala jaabawol ina suuɗii; uddit ɗum so a heblii.
Sistem gaajaaje Mike Caro hitaande 1997 ngam taarorde Amerik ina haɗa boɗeerepariBoɗeerePari njoɓdi fotndi e limooje 18 boɗeeje. E Farayse: rouge.Tar fof → e ɓaleerepariƁaleerePari njoɓdi fotndi e limooje 18 ɓaleeje. E Farayse: noir.Tar fof →, peccotaake e peccotoonde, e 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 →; limooje boɗeeje peccotaake e ɓaleeje peccotooje; limoore 30; e cuuɗikuutorɗeSuuduGootel e cuuɗi 37 limoraaɗi e rotoor. Ina noddee kadi: wenndu, kopp.Tar fof → fof e laawol iwde 11 rewde e laawol montoor haa 14. Huutoro sariyaaji ɗii gooto gooto. Limooje honɗe keddii ngam waɗde pari?
Hollu jaabawol ngol
Jaabawol Alaa. Sistem oo waɗataa pari abada, ndeen ɓural mum ko seero tigi.
Haɗde boɗeere, ɓaleere, peccotaake, peccotoonde e seeroji ina heddina limooje gooto gooto e mofte famɗuɗe hakkunde 1 e 36.
Alaa boɗeeje peccotaake, alaa ɓaleeje peccotooje ina heddina boɗeeje peccotooje (12, 14, 16, 18, 30, 32, 34, 36) e ɓaleeje peccotaake (11, 13, 15, 17, 29, 31, 33, 35): limooje sappo e jeegom. Haɗde 30 ina heddina sappo e joy.
E taarorde Amerik laawol iwde 11 rewde e laawol montoor haa 14 ina hawta cuuɗi 32 e 38. Jeegom ɗi ngonaa e mum ko 0, 28, 9, 26, 30 e 2. Sappo e joy keddiiɗe ɗee fof ina ngoni nder laawol ngol, ndeen sariya sakkitiiɗo oo ina momta ɗe kadi. Sistem mo waɗataa pari abada ko kanko tan majjataa abada, ɗum woni ko Caro faandinoo.
Kryptos ina fijira MartingaledabareMartingaleJokkondiral pari ɓeydoowo pari ɗiɗi laabi caggal kala majjere. Ƴeew hello Dabareeji ngam anndude ko ngal waɗata e ko ngal waɗataa.Tar fof → tati e sahaa gootal, gooto e kala ɗiɗi pariiji njoɓdi fotndipariPari njoɓdi fotndiBoɗeere/ɓaleere, peccotaake/peccotoonde, mawɗe/tokooseeje. Limooje 18, ina yoɓa 1:1.Tar fof → (mawɗe walla tokooseeje, peccotaake walla peccotoonde, boɗeere walla ɓaleere), e pariiji 1, 2, 4, 8, 16, 32 e darngal caggal majjere jeegom. Ƴettu gooto e tati ɗee e taarorde Orop. Ko laabi njelu ina majja pariiji jeegom ɗii fof, ko jokkondiral gootal ina daña e hakkundeere, ko woni feccere kaalis pariyaaɗo nde ɗum woni?
Hollu jaabawol ngol
Jaabawol Ina majja ɗi jeegom fof hedde laawol gootol e jokkondire 55, 1,83% sahaaji ɗii, ɗum kadi ina coggi initeejikaalisInitePari fuɗɗoode mo sistem walla fijoowo gollirta. Jokkondirɗe pari ina cifee e initeeji ngam ɗi kuutoroo e kala taabal.Tar fof → 63. E hakkundeere jokkondiral ina majja hedde 0,17 initeeji e 6,42 initeeji pariyaaɗi: 2,70%, coggu pari kala e taarorde ndee.
Pari ina majja e porobabilite 19/37, seero oo e mum. Jeegom jokkondirɗe: (19/37)⁶ = 0,0183, hedde 1 e 55, ndeen pariiji 1 + 2 + 4 + 8 + 16 + 32 = 63 ɗii majjii. So wonaa ɗum jokkondiral ngal ina timmoo e dañal e +1 inite.
Hakkundeere: 1 × (1 − 0,0183) − 63 × 0,0183 = 1 − 64 × 0,0183 = −0,17 initeeji.
Kaalis pariyaaɗo: pari adanɗo ina waɗee sahaa kala, ɗiɗmo oo caggal majjere tan, e ko jokki: 1 + 2 × (19/37) + 4 × (19/37)² + … + 32 × (19/37)⁵ = 6,42 initeeji. E −0,17/6,42 = −2,70%.
Taarle jeegom winndaaɗe ɗee ina taƴa tan ɓadde pari kala, taarorde ndee waawaa anndude ɗe. Fijirde tati ɗee fof ina ɓeyda laabi tati kaalis pariyaaɗo, e majjere hakkundeere ndee kadi. Bollman (2024) ina golla sistem oo e taarorde Amerik, ɗo kala e majji ina majja jeegom jokkondirɗe 2,1% sahaaji ɗii.
Ƴeewndo weltinoowo

Dañde ko heewi e dañde kaalis ko limooje ceertuɗe.
Iwdi
- Thorp, E. O. “Optimal gambling systems for favorable games.”
- Thorp, E. O. The Mathematics of Gambling.
- Doob, J. L. “Note on probability.”
- Halmos, P. R. “Invariants of certain stochastic transformations: the mathematical theory of gambling systems.”
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.