Ikibanza c'Ubushakashatsi kuri Ruleti · Ikibanza c'Ubushakashatsi · Ivyabaye · iminota 7

Orudinateri za Ruleti

Ingene orudinateri ipima igihe c'umupira, abubatse iza mbere, n'ingene itegerezwa kuba itomoye.

Inyishu ngufi

Orudinateri ya ruleti ipima igihe c'umupira na rotor mu misegonda ya mbere y'ukuzunguruka hanyuma ikavuga igice c'uruziga umupira witezwe kugwamwo. Edward Thorp na Claude Shannon bubatse iya mbere mu 1961, kandi abitwa Eudaemons bubatse iz'umubare kuva mu 1976. Ubu buryo busaba ko amatego yakirwa umupira umaze guterwa: ubu amastudiyo y'imbonankubone yugara amatego igihe umupira uterwa, kandi Nevada yabujije ibikoresho nk'ivyo kuva mu 1985.

iya mbere yubatswe
1961, Thorp na Shannon
ico ipima
igihe c'umupira na rotor
nta co imaze iyo ikosa rirenze
nk'utuzu 17
yabujijwe muri Nevada
kuva mu 1985

Ingene orudinateri ya mbere ya ruleti yubatswe

Iciyumviro caje muri Edward Thorp mu gihe c'ururabo (spring) ca 1955, igihe yari umunyeshure w'ubumenyi bw'inguvu mu masomo y'inyuma ya kaminuza muri UCLA: uruziga rukozwe neza cane ku buryo rutobogama rwotegerezwa kuzungurutsa umupiraibikoreshoUmupiraUmupira mutoyi uterwa mu nzira uhushanye na rotor. Imipira y'ubu ikozwe muri ivorine canke Teflon, 18–21 mm.Soma vyose → mu buryo bumenyekana imbere nk'umubumbe. Yafashe amashusho y'uruziga ruhendutse rungana n'igice c'uruziga rusanzwe, isaha ipima igihe iri mu ishusho, asanga rudatekanye bihagije ku buryo rutomenyekana imbere, kandi urugendo yagize muri Nevada mu kwezi kwa Kigarama 1958 rwamweretse ko inziga z'amakazino zizunguruka neza. Hanyuma blackjack iramutwara. Mu kwezi kwa Munyonyo 1960, muri MIT, yasavye Claude Shannon kurungika inyandiko yiwe yerekeye guharura amakarata ku National Academy of Sciences; ku mpera y'ikiganiro, Shannon yamubajije ikindi ariko arakora, maze umugambi wa ruleti wimukira mu nzu yo munsi y'isi ya Shannon. Baraguze uruziga rusanzwe rw'amakazino i Reno ku $1.500, barushira ku meza ya kera ya biyari y'ibuye, bapima igihe c'umupira bakoresheje itara rimyasa n'isaha isomwa gushika ku gice c'ijana c'umusegonda. Uko bimenyereza, amakosa yabo y'igihe yavuye kuri nka 0,03 gushika 0,01 s. Gushika mu kwezi kwa Ruheshi 1961, orudinateri yari ifise transistor cumi na zibiri kandi ingana n'agasanduku k'itabi: akabuto kari mu kirato, gakoreshwa n'urutoke runini rw'ikirenge, kapima igihe ca rotoribikoreshoRotorIgice c'uruziga kizunguruka gifise utuzu.Soma vyose → n'umupira, kandi ijwi mu gutwi kumwe ryavuga kimwe mu bice vy'uruzigauruzigaIgice c'uruzigaUrukurikirane rw'utuzu dufatanye ku ruziga, rutandukanye n'umugwi w'inomero ku kibaho c'amatego.Soma vyose → umunani. I Las Vegas muri iyo mpeshi, Shannon yapima igihe ari ku ruziga akandika ibitigiri nk'umukinyi uwo ari we wese akoresha uburyo bwo gutega, mu gihe Thorp yatega ibiceri bitoyi ku rundi ruhande rw'ameza. Ukumenya imbere kwarakora, ariko insinga ntoyi nk'umushatsi zija ku cumviriza zahora zicika, kandi rimwe umugore yari iruhande rwa Thorp yitegereje afise ubwoba akavugiro kasohoka mu gutwi kwiwe. Ntibigeze batega vy'ukuri. Thorp yamenyesheje orudinateri ya ruleti mu 1966 kandi asohora ibisobanuro vyayo mu 1979 no mu 1984.

Uruziga rusanzwe rw'amakazino ku meza ya biyari y'ibuye mu nzu yo munsi y'isi ya Shannon, munsi y'itara rimyasa.

Orudinateri z'umubare za mbere

Imashini ya Thorp na Shannon yari iy'ikigereranyo (analog): urusobe rw'insinga rwayo ni rwo rwari porogaramu yayo, kandi guhindura uburyo vyasaba gusubira kuyishiramwo insinga. Microprocessor yakuyeho iyo ntango. Alan Lewis, umunyeshure wa Caltech, yajanye orudinateri y'umubare yiyubakiye mu gisandugu ca kamera i Circus Circus i Las Vegas mu 1972, apima igihe c'inziga ari ku kibaraza kiri hejuru y'ameza kandi arungikira umugenzi wiwe yari hepfo ukumenya imbere biciye kuri radiyo. Yarakoze, ariko ntiyazana amahera; yaje kumenya inyuma ko yari yibagiye ukuncurama kw'uruziga. Kuva mu 1976, umugwi w'abanyeshure b'ubumenyi bw'inguvu i Santa Cruz, abitwa Eudaemons, bakoze ako kazi neza. Baraguze uruziga rw'amakazino, bapima umupira, rotor, ukuncurama n'ugusimbagurika, kandi bandika indinganizo zifise ingingo zitanu umukinyi yahindura kuri buri ruziga afyonda utubuto two mu kirato nk'iminota mirongo ibiri imbere yo gutega. Orudinateri yabo yavuga kimwe mu bice vy'uruziga umunani inyuma y'imisegonda mike ukuzunguruka gutanguye. Ku meza nyakuri mu kwezi kwa Nzero 1978, yatanze inyungu bagereranije kuri 25%; ibikoresho, bihambiriwe ku mubiri hanyuma bikubakwa mu birato, vyapfuye kenshi cane kuruta ubumenyi bw'inguvu (raba “Abitwa Eudaemons”).

Alan Lewis yapima igihe c'inziga ari ku kibaraza akarungikira umugenzi wiwe yari hepfo ukumenya imbere biciye kuri radiyo.

Igituma amatego atinze yari ahambaye

Kazino irashobora guhagarika burundu ukumenya imbere mu kwanka amatego umupira umaze guterwa. Thorp yasanze hafi nta n'imwe yabigira: i Reno, Las Vegas, Londres, Monte Carlo, Nice, Venise na Puerto Rico, akamenyero kari ukuvuga “nta yandi mategoukuntu bikorwaNta yandi mategoIjambo rya croupier (canke ubutumwa kuri ekarana) ryugara ugutega. Amajetoni ntashobora gushirwa, kwimurwa canke gukurwa.Soma vyose →” hasigaye inzunguruka imwe canke zibiri ngo umupira ugwe. Ico gihe ni co uburyo bwose bwo kumenya imbere bwakurikiye bwakeneye, kuva ku bitwa Eudaemons gushika ku matego atinze y'umugwi wa Ritz kuri racetrackamezaRacetrackUmurongo umeze nk'iyayi ku bibaho vy'amatego vy'imbonankubone n'ivya elegitoroniki, werekana inomero uko zikurikirana ku ruziga, ukoreshwa mu gushira amatego y'ababanyi n'ay'ibice vy'uruziga mu gufyonda rimwe.Soma vyose →. Nevada yabujije ibikoresho vyo kumenya imbere mu kwezi kwa Rusama 1985, kandi ubu amastudiyo y'imbonankubone yugara amatego igihe umupira uterwa.

Ingene amakazino yirwanyeko

Mu myaka amatego yari akirwa umupira umaze guterwa, amakazino yarwanya abakinyi bakekwa biciye kuri croupier. Inkuru z'abakinyi ba Norman Leigh bakoresha uburyo bwo gutega i Nice mu 1966 n'iz'imigwi yaje inyuma yo kumenya imbere zivuga croupierabantuCroupierUmukozi akinisha ku meza ya ruleti.Soma vyose → musha ku kuzunguruka kwose, umupira uhinduwe, ukuzunguruka kugufi canke kwihuta, ameza yuzuye abantu ba kazino nyene, hanyuma ameza yugarwa. Izo nkuru ziva ku ruhande rw'abakinyi kandi biragoye kuzigenzura (Goldman, 2007). Ariko ingendo nk'izo zirumvikana: ukuzunguruka kugufi canke kwihuta ntigushobora kwerekeza umupira ku kazuibikoreshoAkazuKimwe mu bibanza 37 bifise inomero kuri rotor. Kandi bita: slot, cup.Soma vyose →, ariko kurahungabanya igihe uwuharura imbere apima.

Croupier musha, umupira uhinduwe, n'ameza yuzuye abantu ba kazino nyene.

Ba Croupier ba Ruleti Barashobora Gutumbera Inomero? Umugani

Ingene ukumenya imbere gutegerezwa kuba kwiza

Thorp (1984) yaharuye agaciro k'ukumenya imbere iyo ikosa ryako rikurikira umurongo umeze nk'inzogera: mu kuzunguruka gusanzwe, akazu kamenyekanye imbere kaba gatandukanye n'ukuri ku tuzu σ ku ruhande rumwe canke urundi. Tega ku nomero yamenyekanye imbere yonyene, canke kuri yo n'ababanyiitegoAbabanyiInomero imwe n'utuzu tubiri turi ku mpande zayo zompi ku ruziga, amajetoni atanu ya straight up.Soma vyose → babiri kuri buri ruhande, kandi inyungu ivana gusa na σ. Ukumenya imbere kutagira ikosa kwotsinda straight up yose. Kuri σ = utuzu 10, ubutomoye Thorp na Shannon bashitseko, straight upitegoStraight upInomero imwe gusa, iriha 35:1.Soma vyose → (inomero imwe gusa) igarukana nka +44%, igitigiri Thorp atanga ku gikoresho cabo; inkuru yiwe yo mu 1998 igishira ku gice c'umunani c'uruziga gishigikiwe kurusha. Inyungu igabanuka vuba uko ikosa ryiyongera kandi irahera ku tuzu nka 17 ku ruziga rw'i Buraya na 16 ku rw'Amerika, igihe ukumenya imbere guhusha hafi igice c'uruziga. Ibiharuro vy'amakosa vya Thorp nyene vyerekana igituma urwo rugero ruri hafi: amakosa atandukanye y'utuzu 1,4 na 5,5 ava ku gupima igihe ca rotor n'umupira, 7 ava ku kugwa kw'umupira ku bibuza umupiraibikoreshoIkibuza umupiraKimwe mu bintu vy'icuma biri kuri apron bisanza umupira ugwa. Kandi citwa: canoe, diamond, pin.Soma vyose → na 6 ava ku gusimbagurika mu tuzu ateranirizwa hamwe agashika nka 10,8.

ikosa risanzwe σ, utuzuinomero imweababanyi batanu
0+3.500%+620%
2+611%+468%
4+258%+237%
6+139%+133%
8+79%+77%
10+44%+42%
12+22%+21%
14+8,8%+8,5%
16+2,2%+2,0%
17+0,3%+0,2%
18−0,9%−0,9%
20−2,1%−2,1%
nta kumenya imbere−2,70%−2,70%
Ni ugusubira guharura kwacu ku ruziga rw'utuzu 37 kw'imbonerahamwe ya Thorp y'utuzu 38: ikosa rikurikira ugutandukana gusanzwe, kuzingiye ku ruziga, kandi akazu kamwe kangana n'igice kimwe.

Igabanuka ry'Umuvuduko

Ibibazo

Noshobora kwubaka igikoresho co kumenya imbere ku meza ya RNG?

Oya. Nta mupira uhari. Inomero itorwa na porogaramu imbere y'ishusho ikina.

Ameza y'imbonankubone ugutera umupira kubonekana kandi amatego akugarwa atinze bigenda gute?

Yoshobora gutsindwa n'ugupima igihe, ni co gituma nta n'ayakorwa muri ubwo buryo.

Twinezwe n'Imibare

Banza ubigerageze wewe nyene. Inyishu yose irapfutse; yugurure igihe witeguye.

  1. Itego rivugwa ry'ababanyiitegoAbabanyiInomero imwe n'utuzu tubiri turi ku mpande zayo zompi ku ruziga, amajetoni atanu ya straight up.Soma vyose → rishira jetoniamaheraJetoniIkimenyetso gihagararira amahera adahinduka, gishirwa ku kibaho c'amatego kugira ngo utege. Kandi citwa: check.Soma vyose → imwe ku nomero no ku tuzuibikoreshoAkazuKimwe mu bibanza 37 bifise inomero kuri rotor. Kandi bita: slot, cup.Soma vyose → tubiri ku mpande zayo zompi ku ruziga: amajetoni atanu. Uguhanura gutegerezwa gushika kangahe muri utwo tuzu dutanu kugira ngo kunganye, kandi kuzana iki iyo kuri ukuri incuro imwe muri zitanu?

    Erekana inyishu

    Inyishu Kunganya kuri 5 muri 36, 13,9%, ugereranije na 13,5% ku mpfindo gusa. Iyo kuri ukuri incuro imwe muri zitanu, kugarura 44% birenze ivyateze.

    Iyo itego rivugwa rifashe, jetoni imwe itsinda 35 kuri 1 igasubira hamwe n'ivyo yatsinze, amajetoni 36, izindi zine zigatakara. Rero gufata kugarura 36 kuri 5 yateze, kandi itego ringanya iyo rifashe incuro 5 muri 36, 13,9%. Ku mpfindo rifata incuro 5 muri 37, 13,5%. Iryo tandukaniro rito, munsi y'igice c'inota ry'ijana, ni ryo 2,70% yose ivamwo.

    Ku gufata kumwe muri gutanu, 0,2 × 36 = 7,2 vy'amajetoni bigaruka kuri buri 5 yateze, +44%. Ku kumwe muri kune, +80%.

    Ni co gituma iterambere rito mu kuba kuri ukuri rifise agaciro kanini, kandi ni co gituma amakazino ahagarika kare amatego avugwaamezaItego rivugwaItego ribwirwa croupier aho gushirwa n'ukuboko, akenshi ni itego ry'igice c'uruziga nka voisins canke tiers. Kandi ryitwa “itego ritangajwe”.Soma vyose → ku mahera menshi: iryo tandukaniro rito ni yo nyungu yose ya kazino. Abakinyi bo kuri Ritz bo mu 2004 bavugwa ko bateje gutyo.

  2. Thorp yarondoye amakosa ane adafatanye mu guhanura kwiwe, mu tuzu: 1,4 avuye ku gupima igihe ca rotoribikoreshoRotorIgice c'uruziga kizunguruka gifise utuzu.Soma vyose →, 5,5 avuye ku gupima igihe c'umupiraibikoreshoUmupiraUmupira mutoyi uterwa mu nzira uhushanye na rotor. Imipira y'ubu ikozwe muri ivorine canke Teflon, 18–21 mm.Soma vyose →, 7 avuye ku kugwa kw'umupira uca ku bibuza umupiraibikoreshoIkibuza umupiraKimwe mu bintu vy'icuma biri kuri apron bisanza umupira ugwa. Kandi citwa: canoe, diamond, pin.Soma vyose → na 6 avuye ku gusimba mu tuzu. Igiteranyo kingana iki, kandi amakosa abiri yo gupima igihe yongerako angahe?

    Erekana inyishu

    Inyishu Nka tuzu 10,8 vyose hamwe. Hatariho amakosa yo gupima igihe yoba 9,2, ku buryo ugupima igihe kubiri kwongerako 1,6 gusa.

    Amakosa adafatanye ntateranirizwa hamwe ubwayo; ibisubizo vyayo vy'ukwikuba ni vyo biteranirizwa. Ingero isanzwe y'igiteranyo ni umuzi wa kabiri w'igiteranyo c'ukwikuba: 1,4² + 5,5² + 7² + 6² = 1,96 + 30,25 + 49 + 36 = 117,2, na √117,2 ≈ 10,8.

    Hatariho amakosa abiri yo gupima igihe: √(49 + 36) = √85 ≈ 9,2.

    Igiteranyo c'utuzu 10,8 kiri munsi y'urugero rw'utuzu 17 ruri mu gishushanyo kiri kuri uru rupapuro kandi gifise agaciro ka nka +34% ku nomero imwe. Icigwa Thorp yakuyemwo: iyo ukugwa guca ku bibuza umupira kumaze kuba ikosa rinini kuruta ayandi, ugupima igihe neza kuruta nta co kwongera kinini.

Agakuru ko gutwenga

Ubumenyi bw'inguvu burakora. Igihe co gutega carugawe.

Ubumenyi bw'inguvu burakora. Igihe co gutega carugawe.

Aho Twakuye

  1. Thorp, E. O. “Optimal gambling systems for favorable games.” Review of the International Statistical Institute 37(3), 1969.
  2. Thorp, E. O. The Mathematics of Gambling. Gambling Times / Lyle Stuart, 1984.
  3. Thorp, E. O. “The invention of the first wearable computer.” Second International Symposium on Wearable Computers, IEEE, 1998.
  4. Bass, T. A. The Eudaemonic Pie. Houghton Mifflin, 1985.
  5. Small, M. & Tse, C. K. “Predicting the outcome of roulette.” Chaos 22(3), 2012.
  6. Goldman, N. Great Gambling Scams. John Blake, 2007.
  7. Nevada Revised Statutes, igice ca 465. Ingingo ya 465.075, ugukoresha igikoresho co kumenya imbere ivyavuye mu mukino (1985).
vyasubiwemwo 2026-09-28icitegererezo: ruleti y'i Buraya, zeru imweuburyo dukoresha ↗amasoko ↗