Laboratwari ya Roulette · Laboratwari · Imiterere · iminota 7

Mudasobwa za Roulette

Uko mudasobwa ipima igihe cy'agapira, abakoze iza mbere, n'uko igomba kuba ifite ubusobanuro.

Igisubizo kigufi

Mudasobwa ya roulette ipima igihe cy'agapira na rotor mu masegonda ya mbere y'izunguruka maze ikavuga igice cy'uruziga agapira kagomba kugwamo. Edward Thorp na Claude Shannon bakoze iya mbere mu 1961, naho Eudaemons bakora iza digitale guhera mu 1976. Ubu buryo bukenera amatega yemerwa nyuma y'uko agapira koherezwa: sitidiyo z'imbonankubone ubu zifunga gutega igihe agapira koherezwa, kandi Nevada yabujije ibikoresho nk'ibyo kuva mu 1985.

iya mbere yakozwe
1961, Thorp na Shannon
icyo ipima
igihe cy'agapira na rotor
nta kamaro iyo ikosa rirenze
hafi utuzu 17
yabujijwe muri Nevada
kuva mu 1985

Uko uburyo bwa mbere bwa mudasobwa ya roulette bwakozwe

Igitekerezo cyaje kuri Edward Thorp mu mpeshyi ya 1955, igihe yari umunyeshuri w'icyiciro cya gatatu muri fiziki muri UCLA: uruziga rukoze neza cyane ku buryo rutabogama rwagombye kuzengurutsa agapiraibikoreshoAgapiraAgapira gato koherezwa mu nzira kerekeza mu cyerekezo kinyuranye n'icya rotor. Udupira tw'iki gihe dukozwe muri ivorine cyangwa Teflon, mm 18–21.Soma byose → mu buryo buteganywa nk'umubumbe. Yafashe amashusho y'uruziga ruhendutse rungana n'igice cy'urusanzwe, isaha ipima amasegonda iri mu ishusho, asanga rudasanzwe cyane ku buryo rutateganywa, kandi urugendo muri Nevada mu Ukuboza 1958 rwamweretse ko inziga za kazino zigenda neza. Blackjack ihita imutwara. Mu Ugushyingo 1960, muri MIT, yasabye Claude Shannon kohereza inyandiko ye yo kubara amakarita muri National Academy of Sciences; ku iherezo ry'inama Shannon yamubajije ibindi yakoragaho, maze umushinga wa roulette wimukira mu nzu yo hasi ya Shannon. Baguze uruziga rwemewe i Reno kuri $1.500, baruterereza ku meza ya kera ya biyari ya slate, bapima igihe cy'agapira bakoresheje itara rya strobe n'isaha isomwa kugeza ku ijana ry'isegonda. Uko bimenyereza, amakosa yabo yo gupima igihe yavuye kuri hafi 0,03 agera kuri 0,01 by'isegonda. Muri Kamena 1961 mudasobwa yari ifite transistor cumi n'ebyiri kandi ingana n'agapaki k'itabi: switch iri mu nkweto, ikoreshwa n'ino rinini, yapimaga igihe cya rotoribikoreshoRotorIgice cy'uruziga kizenguruka gitwaye utuzu.Soma byose → n'icy'agapira, naho ijwi mu gutwi kumwe rikavuga kimwe mu bice by'uruzigauruzigaIgice cy'uruzigaUmuheto w'utuzu dukurikirana ku ruziga, bitandukanye n'itsinda ku mbonerahamwe y'amatega.Soma byose → umunani. I Las Vegas muri iyo mpeshyi Shannon yapimaga igihe ari ku ruziga akandika imibare nk'umukinnyi uwo ari we wese ukoresha uburyo bwo gutega, mu gihe Thorp yategaga udufaranga ku mpera ya kure y'ameza. Iteganya ryakomeje kuba ukuri, ariko insinga zinanutse nk'umusatsi zijya mu gutwi zakomezaga gucika, kandi rimwe umugore wari iruhande rwa Thorp yarebye afite ubwoba indangururamajwi isohoka mu gutwi kwe. Ntibigeze bategera ibintu bikomeye. Thorp yatangaje uburyo bwa mudasobwa ya roulette mu 1966 asohora ibisobanuro birambuye mu 1979 no mu 1984.

Uruziga rwemewe ku meza ya biyari ya slate mu nzu yo hasi ya Shannon, munsi y'itara rya strobe.

Mudasobwa za mbere za digitale

Imashini ya Thorp na Shannon yari analog: umuzunguruko wayo ni wo wari porogaramu yayo, kandi guhindura uburyo byasabaga kongera kuyihuza insinga. Microprocessor yakuyeho iyo mbogamizi. Alan Lewis, umunyeshuri muri Caltech, yajyanye mudasobwa ya digitale yikoreye mu isakoshi ya kamera muri Circus Circus i Las Vegas mu 1972, apima igihe cy'inziga ari kuri balkoni iri hejuru y'ameza kandi yoherereza iteganya mugenzi we wari hasi akoresheje radiyo. Yarakoze, ariko nta mafaranga yatanze; nyuma yaje kumenya ko yari yibagiwe guhengama k'uruziga. Guhera mu 1976 itsinda ry'abanyeshuri ba fiziki i Santa Cruz, Eudaemons, ryakoze uwo murimo neza. Baguze uruziga rwa kazino, bapima agapira, rotor, guhengama no kudunda, banandika imibare ifite igenamiterere eshanu umukinnyi yahinduraga kuri buri ruziga akanda switch z'amano mu minota igera kuri makumyabiri mbere yo gutega. Mudasobwa yabo yavugaga kimwe mu bice umunani nyuma y'amasegonda make izunguruka ritangiye. Ku meza nyayo muri Mutarama 1978 yatanze inyungu bavuze ko ari 25%; ibikoresho, byaziritswe ku mubiri nyuma bikubakwa mu nkweto, byapfaga kenshi cyane kurusha fiziki (reba The Eudaemons).

Alan Lewis yapimaga igihe cy'inziga ari kuri balkoni akoherereza iteganya mugenzi we wari hasi akoresheje radiyo.

Impamvu amatega yatinze yari ingenzi

Kazino ishobora guhagarika iteganya burundu yanga amatega igihe agapira kamaze koherezwa. Thorp yasanze hafi nta yabikoraga: i Reno, Las Vegas, London, Monte Carlo, Nice, Venice no muri Puerto Rico ibisanzwe byari ukuvuga “nta yandi mategauburyo bw'imikinireNta yandi mategaIjambo rya kurupiye (cyangwa ubutumwa kuri ecran) rifunga igihe cyo gutega. Amajeto ntashobora kongera gushyirwaho, kwimurwa cyangwa gukurwaho.Soma byose →” izenguruka rimwe cyangwa abiri mbere y'uko agapira kagwa. Icyo gihe ni cyo buri buryo bwo guteganya bwakurikiyeho bwakeneye, kuva kuri Eudaemons kugera ku matega yatinze y'itsinda rya Ritz kuri racetrackamezaRacetrackUmurongo umeze nk'igi uri ku mbonerahamwe z'amatega z'imbonankubone n'iza elegitoronike, werekana imibare ikurikiranye nk'uko iri ku ruziga, ukoreshwa mu gushyiraho amatega y'abaturanyi n'ay'ibice by'uruziga ukanze rimwe.Soma byose →. Nevada yaciye ibikoresho biteganya muri Gicurasi 1985, kandi sitidiyo z'imbonankubone ubu zifunga gutega igihe agapira koherezwa.

Uko kazino zarwanyije

Mu myaka amatega yari akemerwa nyuma y'uko agapira koherezwa, kazino zarwanyije abakinnyi bakekwaga zinyuze kuri kurupiye. Inkuru z'abakinnyi ba Norman Leigh bakoreshaga uburyo bwo gutega i Nice mu 1966 n'iz'amatsinda yakurikiyeho yo guteganya zivuga kurupiyeabantuKurupiye (croupier)Kurupiye uyobora ameza ya roulette.Soma byose → mushya kuri buri zunguruka, agapira gahinduwe, amazunguruka magufi cyangwa yihuse, ameza yuzuyeho abantu ba kazino ubwayo, amaherezo ameza agafungwa. Izi nkuru zituruka ku ruhande rw'abakinnyi kandi biragoye kuzigenzura (Goldman, 2007). Nyamara amayeri arumvikana: izunguruka rigufi cyangwa ryihuse ntirishobora kuyobora agapira ku kazuibikoreshoAkazuKamwe mu tuzu 37 twanditseho imibare turi kuri rotor. Nanone: slot, cup.Soma byose →, ariko rirasubiza inyuma igihe uteganya apima.

Kurupiye mushya, agapira gahinduwe, n'ameza yuzuyeho abantu ba kazino ubwayo.

Ese Abakurupiye ba Roulette Bashobora Guhitamo Imibare? Igihuha

Uko iteganya rigomba kuba ryiza

Thorp (1984) yabaze agaciro k'iteganya iyo ikosa ryaryo rikurikiza umurongo w'inzogera: mu izunguruka risanzwe akazu kateganyijwe kaba gatandukanye n'ukuri ku tuzu σ ku ruhande rumwe cyangwa urundi. Tega ku mubare wateganyijwe wonyine, cyangwa kuri wo n'abaturanyiitegaAbaturanyiUmubare n'utuzu tubiri kuri buri ruhande rwawo ku ruziga, amajeto atanu ya straight up.Soma byose → babiri kuri buri ruhande, maze inyungu iterwe na σ yonyine. Iteganya ritunganye ryatsinda buri straight upitegaStraight upUmubare umwe, yishyura 35:1.Soma byose →. Kuri σ = utuzu 10, ubusobanuro Thorp na Shannon bagezeho, straight up igarura hafi +44%, umubare Thorp atanga ku gikoresho cyabo; inkuru ye yo mu 1998 iwushyira ku kimwe cya munani cy'uruziga gishyigikiwe cyane. Inyungu igabanuka vuba uko ikosa ryiyongera kandi irashira ku tuzu hafi 17 ku ruziga rw'i Burayi na 16 ku rw'Abanyamerika, igihe iteganya ribura ku kigero cya hafi kimwe cya kabiri cy'uruziga. Uko Thorp ubwe yabaze amakosa bigaragaza impamvu iyo mbibi iri hafi: amakosa atandukanye ya 1,4 na 5,5 y'utuzu yo gupima igihe cya rotor n'icy'agapira, 7 yo kugwa kw'agapira kunyura kuri deflectoribikoreshoDeflectorKimwe mu bimenyetso by'icyuma biri kuri apron bitatanya agapira kagwa. Nanone: canoe, diamond, pin.Soma byose → na 6 yo kudunda mu tuzu ahuzwa akagera hafi kuri 10,8.

ikosa risanzwe σ, utuzuumubare umweabaturanyi 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 teganya−2,70%−2,70%
Ibarura ryacu bushya ry'imbonerahamwe ya Thorp y'utuzu 38 ku ruziga rw'utuzu 37: ikosa ni normal, rizengurutse uruziga, kandi akazu gafite ubugari bw'inite imwe.

Igabanuka ry'Umuvuduko

Ibibazo

Nashobora gukora igikoresho giteganya ku meza ya RNG?

Oya. Nta gapira kabaho. Umubare utoranywa na porogaramu mbere y'igaragaza.

Bigenda bite ku meza y'imbonankubone agaragaza kohereza agapira kandi agafunga bitinze?

Yashobora kwibasirwa no gupima igihe, ari na yo mpamvu nta na rimwe rikoreshwa gutyo.

Kwishimisha n'Imibare

Banza ubigerageze ubwawe. Buri gisubizo kirapfunyitse; ugifungure igihe witeguye.

  1. Itega rya abaturanyiitegaAbaturanyiUmubare n'utuzu tubiri kuri buri ruhande rwawo ku ruziga, amajeto atanu ya straight up.Soma byose → rishyira jetoamafarangaJeto (chip)Jeto ihagarariye amafaranga angana atahinduka, ishyirwa ku mbonerahamwe y'amatega kugira ngo utege. Nanone: check.Soma byose → imwe ku mubare no kuri utuzuibikoreshoAkazuKamwe mu tuzu 37 twanditseho imibare turi kuri rotor. Nanone: slot, cup.Soma byose → tubiri ku mpande zombi zawo ku ruziga: jeto eshanu. Ihanura rigomba kugwa muri utwo tuzu dutanu kangahe ngo ringanire, kandi ryunguka iki iyo rikoze neza rimwe mu ncuro eshanu?

    Erekana igisubizo

    Igisubizo Riringanira kuri 5 muri 36, 13,9%, ugereranyije na 13,5% ku mahirwe yonyine. Rikoze neza rimwe mu ncuro eshanu, rigarura 44% kurenza ibyo ryateze.

    Iyo itega rifashe, jeto imwe itsinda 35 kuri 1 ikagaruka n'ibyo yatsinze, jeto 36, naho izindi enye zigatsindwa. Bityo gufata kugarura 36 kuri 5 zategewe, kandi itega riringanira iyo rifashe incuro 5 muri 36, 13,9%. Ku mahirwe rifata incuro 5 muri 37, 13,5%. Icyo cyuho gito, kitageze ku gice cy'inota ry'ijanisha, ni cyo 2,70% yose ikomokamo.

    Kuri gufata kumwe mu ncuro eshanu, jeto 0,2 × 36 = 7,2 zigaruka kuri buri 5 zategewe, +44%. Kuri rimwe muri enye, +80%.

    Ni yo mpamvu inyongera nto mu kuri ifite agaciro kenshi, kandi ni yo mpamvu kazino zifunga amatega avugwaamezaItega rivugwa (call bet)Itega ubwira kurupiye aho kurishyiraho n'intoki, akenshi itega ku gice cy'uruziga nka voisins cyangwa tiers. Nanone: “announced bet”.Soma byose → hakiri kare ku matega manini: icyo cyuho gito ni yo nyungu yose y'inzu. Abakinnyi ba Ritz bo mu 2004 bivugwa ko bategaga batya.

  2. Thorp yanditse amakosa ane yigenga mu ihanura rye, mu tuzu: 1,4 avuye ku gupima igihe cya rotoribikoreshoRotorIgice cy'uruziga kizenguruka gitwaye utuzu.Soma byose →, 5,5 ku gupima igihe cy'agapiraibikoreshoAgapiraAgapira gato koherezwa mu nzira kerekeza mu cyerekezo kinyuranye n'icya rotor. Udupira tw'iki gihe dukozwe muri ivorine cyangwa Teflon, mm 18–21.Soma byose →, 7 ku kugwa kw'agapira kanyura kuri deflectoribikoreshoDeflectorKimwe mu bimenyetso by'icyuma biri kuri apron bitatanya agapira kagwa. Nanone: canoe, diamond, pin.Soma byose → na 6 ku guhunga mu tuzu. Igiteranyo kingana iki, kandi amakosa abiri yo gupima igihe yongeraho angahe?

    Erekana igisubizo

    Igisubizo Hafi utuzu 10,8 muri rusange. Hatabayeho amakosa yo gupima igihe byaba 9,2, bityo ibipimo bibiri by'igihe byongeraho 1,6 gusa.

    Amakosa yigenga ntateranywa uko ari; kare zayo ni zo ziteranywa. Ingano isanzwe y'igiteranyo ni imizi ya kare y'igiteranyo cya kare: 1,4² + 5,5² + 7² + 6² = 1,96 + 30,25 + 49 + 36 = 117,2, kandi √117,2 ≈ 10,8.

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

    Igiteranyo cy'utuzu 10,8 kiri munsi y'urubibi rw'utuzu 17 ruri mu mbonerahamwe y'iyi paji kandi gifite agaciro ka hafi +34% ku mubare umwe. Isomo Thorp yakuyemo: iyo kugwa kunyura kuri deflector ari ryo kosa rinini kurusha, gupima igihe neza kurushaho ntikugura byinshi.

Akanya k'urwenya

Fiziki irakora. Igihe cyo gutega cyarafunzwe.

Fiziki irakora. Igihe cyo gutega cyarafunzwe.

Inkomoko

  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, chapter 465. Ingingo ya 465.075, gukoresha igikoresho giteganya igisubizo cy'umukino (1985).
byasuzumwe 2026-09-28icyitegererezo: uruziga rw'i Burayi, zeru imweuburyo bwakoreshejwe ↗inkomoko ↗