Ordinateeruuji Ruleet
No ordinateer betirta sahaa bal, holi ɓe mahi adanɗe ɗee, e no ndee ina haani wonde laaɓtundu.

Ordinateer ruleet ina betira sahaa bal e rotoor e segonde adanɗe taarol, ina innda geɗal taarorde ɗo bal ina haani yanude. Edward Thorp e Claude Shannon mahi adanoowo oo e 1961, Eudaemons ɓen mahi ordinateeruuji numerik gila 1976. Feere ndee ina naamnoo pariiji jaɓeteeɗi caggal werlugol: studio live hannde ina uddoo pariiji e sahaa werlugol, Nevada kadi haɗii ɗeen masiŋaaji gila 1985.
No sistem ordinateer ruleet adanoowo mahiraa
Miijo oo arani Edward Thorp e ndungu 1955, tuma nde o woni almuudo fiisik e UCLA: taarorde moƴƴiinde haa nde ooñaani ina haani taarnude balkuutorɗeBalBal tokoosal werlaangal e laawol ngol e laawol rotoor ngol. Balli jamaanu hannde ko ivorine walla Teflon, 18–21 mm.Tar fof → ngal no anndiraa hono hoodere. O filmii taarorde coggu famɗu, feccere mawnde, e montoor segonde e nder natal, o tawi nde ina waylii haa hiisaaki, ndaaraagal Nevada e Desaambar 1958 hollii mo taarorɗe kasino ina taaroo e newaare. Blackjack ɓami ɗum caggal ɗuum. E Nowaambar 1960, e MIT, o ɗaɓɓi Claude Shannon neldude winndannde makko limtugol kaartuuji to National Academy of Sciences; e gasgol jonnde ndee Shannon ƴami mo ko o golliri goɗɗum, porose ruleet oo dirti e saal les galle Shannon. Ɓe coodi taarorde kasino goonga e Reno e $1 500, ɓe ndawni nde e dow taabal biyaar kiiɗɗo hayre, ɓe betiri sahaa bal e lampu esterobos e montoor tarotooɗo teemedannde segonde. E jangugol, juumre betugol mum’en ustiima gila hedde 0,03 haa 0,01 segonde. E Suwee 1961, ordinateer oo jogiima taraŋsistor sappo e ɗiɗi, mawnde mum ko hono pake sigaret: butoŋ e nder pade, mo hoore koyngal mawnungal dunndata, ina betira sahaa rotoorkuutorɗeRotoorGeɗal taarorde taarotooɗo, roondiiɗo cuuɗi ɗii.Tar fof → e bal, sowte e nder nofru wootere ina innda gootal e geɗe taarordetaarordeGeɗal taarordeCeeɓnde cuuɗi takkondirɗi e taarorde, ceertunde e mooftere e tapi.Tar fof → jeetati ɗee. E Las Vegas e ndungu ndeen, Shannon betiri sahaa takko taarorde ina winnda limooje hono fijoowo sistem fof, Thorp ina waɗa pariiji famɗuɗi no feewi e hoore taabal goɗngal. Ko hiisaa ko ardi ina nanndi, kono cewe faɓɓuɗe hono sukundu yahooje e nofru ina ceeŋa sahaa fof, laawol gootol kadi debbo jooɗiiɗo takko Thorp ndaari e kulol kuutorgal sowte yaltungal e nofru makko. Ɓe waɗaani pari e goonga abadaa. Thorp anndini sistem ordinateer ruleet oo e 1966, saakti cikkitte mum e 1979 e 1984.

Ordinateeruuji numerik adanɗi
Masiŋ Thorp e Shannon ko analog: circuit mum ko porogaraam mum, waylude feere ndee ko waylude cewe mum. Mikoroporosesoor oo itti ndee keerol. Alan Lewis, almuudo e Caltech, nawi ordinateer numerik mo o mahi e galle e nder sanduku kameraa haa Circus Circus e Las Vegas e 1972, o betiri sahaa taarorɗe gila e balkoŋ dow taabalji ɗii, ina neldana kawtoodo makko les ko hiisaa ko ardi e raadiyo. Ina golliri, kono dañaani kaalis; o anndi caggal ɗuum o yejjitii lelagol taarorde nden. Gila 1976, mofte almuɓɓe fiisik e Santa Cruz, Eudaemons ɓen, mbaɗi golle ɗee e timmal. Ɓe coodi taarorde kasino, ɓe betii bal, rotoor, lelagol e ɗiwtagol, ɓe mbinndi equasiyoŋaaji e teeltuuji joy ɗi fijoowo ina moƴƴina e kala taarorde nde ina dunnda butoŋaaji koyngal hedde hojomaaji noogaas hade waɗde pari. Ordinateer mum’en ina innda gootal e geɗe taarorde jeetati segonde seeɗa caggal fuɗɗoode taarol. E taabal goonga e Saanwiye 1978 ina hokki ɓural ngal ɓe kiisi 25%; kaɓirɗe ɗee, haɓɓaaɗe e ɓalli, caggal ɗuum naatnaa e pade, ina ɓuri ɗuuɗude ronkude no fiisik nden (ƴeew Eudaemons ɓen).

Ko waɗi pariiji lebbiiɗi ina njogii maanaa
Kasino ina waawi haɗde hiisugol ko ardi fof nde salii pariiji caggal nde bal werlaa. Thorp tawi ko seeɗa no feewi waɗi ɗum: e Reno, Las Vegas, London, Monte-Carlo, Nice, Venice e Puerto Rico, aada oo ko noddude “Pari ɓeydotaake kadilaawol gollePari ɓeydotaake kadiNoddaango kurupiye (walla binndol e ekraan) uddoowo pariiji. Jetoŋji waɗetaake kadi, dirtinetaake, ittetaake.Tar fof →” taarol gootol walla ɗiɗi hade bal yanude. Ndee sahaa ko ɗum kala feere hiisugol ko ardi naamnii gila ɗuum, gila e Eudaemons ɓen haa e noddi lebbiiɗi mofte Ritz e laawol ovaaltaabalLaawol ovaalDiidol ovaal e tapiiji live e elektoronik kolloowol limooje e doggol taarorde, huutorteengol ngam waɗde takkoyɗe e pariiji geɗal taarorde e meemgol gootol.Tar fof →. Nevada haɗi masiŋaaji hiisugol ko ardi e Mee 1985, studio live kadi ina uddoo pariiji hannde e sahaa werlugol.
No kasinooji kaɓirta
E duuɓi ɗi pariiji ina njaɓetenoo caggal werlugol, kasinooji ina kaɓa e fijooɓe tuumaaɓe e laawol kurupiye. Taalumbaaji fijooɓe sistem Norman Leigh e Nice e 1966 e mofte hiisugol ko ardi caggal ɗuum ina cifa kurupiyeyimɓeKurupiyeKurupiye ko gollotooɗo e taabal ruleet.Tar fof → hesɗo e kala taarol, bal waylaangal, taarle raɓɓiɗɗe walla yaawɗe, taabal heewngal yimɓe kasino e hoore mum, e sakket taabal uddaangal. Ɗeen taalumbaaji ko gila e baŋŋe fijooɓe, ɗe saɗi ƴeewtaade (Goldman, 2007). Feeree ɗee ina njogii maanaa kadi: taarol raɓɓiɗngol walla yaawngol waawaa yewtude bal haa suudukuutorɗeSuuduGootel e cuuɗi 37 limoraaɗi e rotoor. Ina noddee kadi: wenndu, kopp.Tar fof →, kono ina jiiba sahaa mo hiisoowo ko ardi betata.

No hiisugol ko ardi haani wonde moƴƴo
Thorp (1984) hiisi njaru hiisugol ko ardi tuma nde juumre mum ina rewi kiriiwal laawol: e taarol aadaangol suudu hiisaandu ndu ina woɗɗi cuuɗi σ e baŋŋe gooto walla goɗɗo. Waɗ pari e limoore hiisaande ndee tan, walla e mayre e takkoyɗepariTakkoyɗeLimoore e cuuɗi ɗiɗi e kala sera mayre e taarorde, jetoŋji joy limoore wootere.Tar fof → ɗiɗi e kala baŋŋe, ɓural ngal ina tuugii e σ tan. Hiisugol timmungol ina daña kala limoore wooterepariLimoore wootereLimoore wootere tan, ina yoɓa 35:1.Tar fof →. E σ = cuuɗi 10, laaɓal ngal Thorp e Shannon tawi, limoore wootere ina rutta hedde +44%, limoore nde Thorp hokki e masiŋ mum’en; haala makko 1998 ina wattira ɗum e jeetataɓal taarorde ɓurngal moƴƴude. Ɓural ngal ina ustoo law tuma nde juumre ina mawna, ina majja e hedde cuuɗi 17 e taarorde Orop e 16 e taarorde Amerik, tuma nde hiisugol ina juuma hedde feccere taarorde. Bujee juumre Thorp e hoore mum ina hollira ko waɗi ndee keerol ina ɓadii: juumre ceertuɗe cuuɗi 1,4 e 5,5 e betugol sahaa rotoor e bal, 7 e yanugol bal e dow deflektooruujikuutorɗeDeflektoorGooto e haɗooji njamndi woodɗi e tellorde ɗi saŋkitinta bal ina jippoo. Ina noddee kadi: kanuu, diyamaa, pinngu.Tar fof →, e 6 e ɗiwtagol e nder cuuɗi ina kawrita haa hedde 10,8.
Naamne
Alaa. Bal alaa. Limoore ndee ina suɓee e lojisiyel hade animaasiyoŋ.
Ɗi ina mbaawi poolee e betugol sahaa, ɗum waɗi alaa ɗi ndoggortee nii.
Weltaare e Matematik
Etu ɗum hoore maa adii. Kala jaabawol ina suuɗii; uddit ɗum so a heblii.
Pari takkoyɗepariTakkoyɗeLimoore e cuuɗi ɗiɗi e kala sera mayre e taarorde, jetoŋji joy limoore wootere.Tar fof → ina waɗa jetoŋkaalisJetoŋMaande hollirde kaalis tabitiiɗo, waɗetee e tapi ngam waɗde pari. Ina wiyee kadi: check.Tar fof → gooto e limoore e cuuɗikuutorɗeSuuduGootel e cuuɗi 37 limoraaɗi e rotoor. Ina noddee kadi: wenndu, kopp.Tar fof → ɗiɗi ɗe ngoni e kala ɓerɗe mayre e taarorde: jetoŋji joy. Hiinnirgal ina foti hewtude cuuɗi joy ɗii laabi njelu ngam hewtude nokku fotde, ko honɗum ngal dañata so ngal hawrii laabi gooto e nder joy?
Hollu jaabawol ngol
Jaabawol Ina hewta nokku fotde e 5 e nder 36, 13,9%, e yeeso 13,5% e sahaa tan. So hawrii laabi gooto e nder joy, ina rutta 44% ɓurɗo ko pariyaa.
So pari ngal hawrii, jetoŋ gooto ina daña 35 e 1 ina ruttoo e kaalis mum dañaaɗo, jetoŋji 36, nay goɗɗi ɗii ina majja. Ɗum waɗi hawrugol ina rutta 36 ngam 5 pariyaaɗi, pari ngal ina hewta nokku fotde so ina hawra laabi 5 e nder 36, 13,9%. E sahaa ina hawra laabi 5 e nder 37, 13,5%. Ceerondiral famɗungal ngal, ɓuraani feccere poynt e nder teemedere, ko ɗoon 2,70% ngal fof iwi.
E hawrugol gootol e nder joy, 0,2 × 36 = 7,2 jetoŋji ina ngarta e kala 5 pariyaaɗi, +44%. E gootol e nder nay, +80%.
Ɗum ko waɗi ɓeydagol seeɗa e peewal ina foti no feewi, ko waɗi kadi kasinooji ina uddita pariiji wiyaaɗitaabalPari wiyaandiPari wiyetee kurupiye, wonaa waɗeede e jungo, ko ɓuri heewde pari e geɗal taarorde hono voisins walla tiers. Ina wiyee kadi “pari anndinaandi”.Tar fof → law so pariiji ɗii ina mawni: ceerondiral famɗungal ngal ko dañal kasino fof. Fijooɓe Ritz 2004 ina wiyee ko nii mbaɗirnoo pariiji maɓɓe.
Thorp limtii juumte nay ceertuɗe e hiinnirgal mum, e cuuɗi: 1,4 iwde e ƴeewndagol sahaa rotoorkuutorɗeRotoorGeɗal taarorde taarotooɗo, roondiiɗo cuuɗi ɗii.Tar fof →, 5,5 iwde e ƴeewndagol sahaa balkuutorɗeBalBal tokoosal werlaangal e laawol ngol e laawol rotoor ngol. Balli jamaanu hannde ko ivorine walla Teflon, 18–21 mm.Tar fof →, 7 iwde e yanugol bal e dow deflektooruujikuutorɗeDeflektoorGooto e haɗooji njamndi woodɗi e tellorde ɗi saŋkitinta bal ina jippoo. Ina noddee kadi: kanuu, diyamaa, pinngu.Tar fof → e 6 iwde e ɗiwgol e nder cuuɗi. Hol mawneeki kawral ngal, juumte ɗiɗi ƴeewndagol sahaa ina ɓeyda no foti?
Hollu jaabawol ngol
Jaabawol Hono cuuɗi 10,8 fof. So juumte ƴeewndagol sahaa alaa ina wona 9,2, ɗum waɗi ƴeewndagol ɗiɗi ɗii ina ɓeyda 1,6 tan.
Juumte ceertuɗe ɓeydondirtaa tigi; ko kaare maɓɓe ɓeydondirta. Mawneeki aadanteeki kawral ngal ko ɗaɗol kaare ɓeydondiral kaareeji ɗii: 1,4² + 5,5² + 7² + 6² = 1,96 + 30,25 + 49 + 36 = 117,2, e √117,2 ≈ 10,8.
So juumte ɗiɗi ƴeewndagol sahaa alaa: √(49 + 36) = √85 ≈ 9,2.
Kawral cuuɗi 10,8 ina nder keerol cuuɗi 17 ngol e tabalo hello oo, ina foti hono +34% e limoore wootere. Ekkitorgol ngol Thorp ƴetti: so yanugol e dow deflektooruuji ɗii ko juumre ɓurnde mawnude, ƴeewndagol sahaa ɓurngol moƴƴude ina addi seeɗa.
Ƴeewndo weltinoowo

Fiisik nden ina golloo. Sahaa pari uddaama.
Iwdi
- Thorp, E. O. “Optimal gambling systems for favorable games.”
- Thorp, E. O. The Mathematics of Gambling.
- Thorp, E. O. “The invention of the first wearable computer.”
- Bass, T. A. The Eudaemonic Pie.
- Small, M. & Tse, C. K. “Predicting the outcome of roulette.”
- Goldman, N. Great Gambling Scams.
- Nevada Revised Statutes, chapter 465.