Labu ya Roulette · Labu · Nkhani yonse · mphindi 7

Makompyuta a Roulette

Mmene kompyuta imawerengera nthawi ya mpira, amene anapanga zoyambirira, ndi kulondola kumene ikufunika.

Yankho lalifupi

Kompyuta ya roulette imawerengera nthawi ya mpira ndi ya rotor m’masekondi oyambirira a kuzungulira ndi kutchula gawo la gudumu kumene mpira uyenera kugwera. Edward Thorp ndi Claude Shannon anapanga yoyamba mu 1961, ndipo a Eudaemons anapanga za digito kuyambira 1976. Njirayi imafuna mabetcha olandiridwa mpira utaponyedwa: ma studio a pompopompo tsopano amatseka kubetcha pamene mpira ukuponyedwa, ndipo Nevada yaletsa zipangizo zotere kuyambira 1985.

inapangidwa koyamba
1961, Thorp ndi Shannon
zimene imayeza
nthawi ya mpira ndi rotor
yopanda ntchito ndi cholakwika chopitirira
pafupifupi tibowo 17
yoletsedwa ku Nevada
kuyambira 1985

Mmene dongosolo loyamba la kompyuta ya roulette linapangidwira

Maganizo anabwera kwa Edward Thorp m’nyengo ya masika ya 1955, pamene anali wophunzira wa digiri yapamwamba ya fiziki ku UCLA: gudumu lopangidwa bwino kwambiri kuti likhale lokondera liyenera kuzunguliza mpirazipangizoMpiraMpira waung’ono umene umaponyedwa mu njira motsutsana ndi rotor. Mipira yamakono ndi ya ivorine kapena Teflon, 18–21 mm.Werengani yonse → modziwikiratu ngati pulaneti. Anajambula vidiyo ya gudumu lotsika mtengo la theka la kukula ndi wotchi yoyezera nthawi m’chithunzi ndipo anapeza kuti linali losakhazikika kwambiri kuti lilosedwe, ndipo ulendo wopita ku Nevada mu Disembala 1958 unamusonyeza kuti magudumu a makasino ankazungulira bwino. Kenako blackjack inatenga malo. Mu Novembala 1960, ku MIT, anapempha Claude Shannon kutumiza pepala lake la kuwerenga makadi ku National Academy of Sciences; kumapeto kwa msonkhano Shannon anafunsa kuti n’chiyani china chimene akugwira ntchito, ndipo ntchito ya roulette inasamukira m’chipinda chapansi cha Shannon. Anagula gudumu lovomerezeka kuchokera ku Reno pa $1,500, analiika pa tebulo lakale la biliyadi la mwala wa slate, ndi kuwerengera nthawi ya mpira poyerekeza ndi nyali ya strobe ndi wotchi yowerengedwa mpaka gawo limodzi mwa zana la sekondi. Ndi kuyeserera zolakwika zawo za nthawi zinatsika kuchoka pa pafupifupi 0.03 kufika pa 0.01 sekondi. Pofika Juni 1961 kompyuta inali ndi ma transistor khumi ndi awiri ndipo inali ya kukula kwa paketi ya ndudu: siwichi mu nsapato, yogwiritsidwa ntchito ndi chala chachikulu cha phazi, inawerengera nthawi ya rotorzipangizoRotorGawo lozungulira la gudumu limene limanyamula tibowo.Werengani yonse → ndi mpira, ndipo liwu m’khutu limodzi linatchula limodzi mwa magawogudumuGawoMndandanda wolumikizana wa tibowo pa gudumu, mosiyana ndi gulu pa dongosolo la mabetcha.Werengani yonse → asanu ndi atatu a gudumu. Ku Las Vegas chilimwe chimenecho Shannon anawerengera nthawi pa gudumu ndi kulemba manambala ngati wosewera aliyense wa dongosolo, pamene Thorp ankabetcha masenti khumi kumapeto ena a tebulo. Maulosi anagwira ntchito, koma mawaya opyapyala ngati tsitsi opita ku choyika m’khutu ankangoduka, ndipo nthawi ina mkazi pafupi ndi Thorp anayang’ana mochita mantha sipika ikutuluka m’khutu lake. Sanabetchepo mozama. Thorp analengeza dongosolo la kompyuta ya roulette mu 1966 ndipo anafalitsa tsatanetsatane mu 1979 ndi 1984.

Gudumu lovomerezeka pa tebulo la biliyadi la mwala wa slate m’chipinda chapansi cha Shannon, pansi pa strobe.

Makompyuta oyamba a digito

Makina a Thorp ndi Shannon anali a analog: circuit yake inali pulogalamu yake, ndipo kusintha njira kunatanthauza kuilumikizanso mawaya. Microprocessor inachotsa malire amenewo. Alan Lewis, wophunzira ku Caltech, anatenga kompyuta ya digito yodzipangira yekha m’chikwama cha kamera kupita nayo ku Circus Circus ku Las Vegas mu 1972, anawerengera nthawi ya magudumu kuchokera pa khonde pamwamba pa matebulo ndi kutumiza maulosi pa wailesi kwa mnzake pansi. Inagwira ntchito, ndipo sinapeze ndalama; anadziwa pambuyo pake kuti anasiya kupendekeka kwa gudumu. Kuyambira 1976 gulu la ophunzira a fiziki ku Santa Cruz, a Eudaemons, linachita ntchitoyi mokwanira. Anagula gudumu la kasino, anayeza mpira, rotor, kupendekeka ndi kudumpha, ndi kulemba masamu okhala ndi makonzedwe asanu amene wosewera ankasintha pa gudumu lililonse podina masiwichi a zala za mapazi kwa pafupifupi mphindi makumi awiri asanabetche. Kompyuta yawo inkatchula limodzi mwa magawo asanu ndi atatu masekondi ochepa m’kuzungulira. Pa tebulo lenileni mu Januwale 1978 inapereka mwayi umene anaika pa 25%; zipangizo, zomangiriridwa ku thupi ndipo pambuyo pake zomangidwa mu nsapato, zinalephera kawirikawiri kwambiri kuposa fiziki (onani The Eudaemons).

Alan Lewis anawerengera nthawi ya magudumu kuchokera pa khonde ndi kutumiza maulosi pa wailesi kwa mnzake pansi.

Chifukwa chiyani mabetcha ochedwa anali ofunika

Kasino ingathe kuletsa kulosera kwathunthu pokana mabetcha mpira ukangoponyedwa. Thorp anapeza kuti pafupifupi palibe imene inachita zimenezo: ku Reno, Las Vegas, London, Monte Carlo, Nice, Venice ndi Puerto Rico chizolowezi chinali kulengeza “palibenso mabetchandondomekoPalibenso mabetchaMawu a dealer (kapena chidziwitso pa sikirini) otseka kubetcha. Machipi sangaikidwenso, kusunthidwa kapena kuchotsedwa.Werengani yonse →” kuzungulira kamodzi kapena kawiri mpira usanagwe. Mpata umenewo ndiwo umene dongosolo lililonse lolosera kuyambira pamenepo lafunikira, kuchokera ku a Eudaemons kufika ku kulengeza mochedwa kwa gulu la Ritz pa racetracktebuloRacetrackMzere wozungulira pa madongosolo a pompopompo ndi a pakompyuta wosonyeza manambala motsatira gudumu, wogwiritsidwa ntchito poika mabetcha a oyandikana ndi a gawo ndi kudina kamodzi.Werengani yonse →. Nevada inaletsa zipangizo zolosera mu Meyi 1985, ndipo ma studio a pompopompo tsopano amatseka kubetcha pamene mpira ukuponyedwa.

Mmene makasino analimbanirana nazo

M’zaka pamene mabetcha ankalandiridwabe mpira utaponyedwa, makasino ankalimbana ndi osewera okayikiridwa kudzera mwa dealer. Nkhani za osewera a dongosolo a Norman Leigh ku Nice mu 1966 ndi za magulu olosera a pambuyo pake zimafotokoza croupieranthuCroupierDealer wa pa tebulo la roulette.Werengani yonse → watsopano pa kuzungulira kulikonse, mpira wosinthidwa, kuzungulira kofupikitsidwa kapena kothamanga, tebulo lodzaza ndi anthu a kasino yomwe, ndipo pomaliza tebulo lotsekedwa. Nkhani zimenezi zimachokera kumbali ya osewera ndipo ndi zovuta kuzitsimikiza (Goldman, 2007). Njirazo zimamveka mulimonse: kuzungulira kwafupi kapena kothamanga sikungalunjikitse mpira ku kabowozipangizoKabowoChimodzi mwa tibowo 37 tokhala ndi manambala pa rotor. Kamatchedwanso: slot, cup.Werengani yonse →, koma kumasokoneza nthawi imene wolosera amayeza.

Croupier watsopano, mpira wosinthidwa, ndi tebulo lodzaza ndi anthu a kasino yomwe.

Kodi Ma Dealer a Roulette Angalunjikitse Manambala? Nthano

Kulondola kumene kulosera kukufunika

Thorp (1984) anawerengera mtengo wa kulosera pamene cholakwika chake chikutsatira mawonekedwe a belu: pa kuzungulira kwachizolowezi kabowo kolosedwa kamakhala kolakwika ndi tibowo σ mbali imodzi kapena ina. Betchani nambala yolosedwa yokha, kapena iyo ndi oyandikanabetchaOyandikanaNambala imodzi ndi tibowo tiwiri mbali iliyonse ya nambalayo pa gudumu, machipi asanu a straight-up.Werengani yonse → awiri mbali iliyonse, ndipo mwayi umadalira pa σ yokha. Kulosera kwangwiro kukanapambana straight upbetchaStraight upNambala imodzi, amalipira 35:1.Werengani yonse → iliyonse. Pa σ = tibowo 10, kulondola kumene Thorp ndi Shannon anafika, straight up imabweza pafupifupi +44%, nambala imene Thorp amapereka pa chipangizo chawo; nkhani yake ya 1998 imaiika pa gawo limodzi mwa asanu ndi atatu la gudumu lokondedwa kwambiri. Mwayi umatsika mwachangu pamene cholakwika chikukula ndipo umatha pa pafupifupi tibowo 17 pa gudumu la ku Ulaya ndi 16 pa la ku America, pamene kulosera kukuphonya ndi pafupifupi theka la gudumu. Kuwerengera kwa zolakwika kwa Thorp mwiniwake kumasonyeza chifukwa chake malire amenewo ali pafupi: zolakwika zosiyana za tibowo 1.4 ndi 5.5 kuchokera pa kuwerengera nthawi ya rotor ndi mpira, 7 kuchokera pa kugwa kwa mpira pa ma deflectorzipangizoDeflectorChimodzi mwa zotchinga zachitsulo pa apron zomwe zimamwaza mpira wogwa. Chimatchedwanso: canoe, diamond, pin.Werengani yonse → ndi 6 kuchokera pa kudumpha m’tibowo zimaphatikizana kufika pafupifupi 10.8.

cholakwika chachizolowezi σ, tibowonambala imodzioyandikana asanu
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%
palibe kulosera−2.70%−2.70%
Kuwerengeranso kwathu pa gudumu la tibowo 37 kwa tebulo la Thorp la tibowo 38: cholakwika ndi chachizolowezi (normal), chozunguliridwa pa gudumu, ndipo kabowo ndi unit imodzi m’lifupi.

Kuchepa kwa Liwiro

Mafunso

Kodi ndingapange cholosera cha matebulo a RNG?

Ayi. Palibe mpira. Nambala imasankhidwa ndi pulogalamu chojambula choyenda chisanayambe.

Nanga bwanji matebulo a pompopompo okhala ndi kuponya kooneka ndi kutseka mochedwa?

Akanakhala pachiopsezo cha kuwerengera nthawi, ndicho chifukwa chake palibe amene amayendetsedwa choncho.

Masamu Osangalatsa

Yesani nokha choyamba. Yankho lililonse labisika; litsegulireni mukakonzeka.

  1. Lengezo la oyandikanabetchaOyandikanaNambala imodzi ndi tibowo tiwiri mbali iliyonse ya nambalayo pa gudumu, machipi asanu a straight-up.Werengani yonse → limaika chipindalamaChipiChizindikiro choimira ndalama yokhazikika, choikidwa pa dongosolo la mabetcha kuti mupange betcha. Chimatchedwanso: check.Werengani yonse → chimodzi pa nambala ndi pa tibowozipangizoKabowoChimodzi mwa tibowo 37 tokhala ndi manambala pa rotor. Kamatchedwanso: slot, cup.Werengani yonse → tiwiri mbali iliyonse ya nambalayo pa gudumu: machipi asanu. Kuneneratu kuyenera kugwera m’tibowo tisanu tomwe kangati kuti kufike pa ziro, ndipo kumapeza zingati ngati kuli kolondola kamodzi pa kasanu?

    Onetsani yankho

    Yankho Kumafika pa ziro pa 5 mwa 36, 13.9%, poyerekeza ndi 13.5% mwangozi chabe. Kukakhala kolondola kamodzi pa kasanu, kumabweza 44% kuposa zimene kumabetcha.

    Lengezo likagunda, chipi chimodzi chimapambana 35 ku 1 ndipo chimabwerera ndi zopambanazo, machipi 36, ndipo enawo anayi amatayika. Choncho kugunda kumabweza 36 pa 5 zobetchedwa, ndipo lengezo limafika pa ziro likagunda ka 5 pa 36, 13.9%. Mwangozi limagunda ka 5 pa 37, 13.5%. Kusiyana kochepa kumeneko, kosakwana theka la pointi ya peresenti, ndi kumene 2.70% yonse imachokera.

    Pa kugunda kamodzi pa kasanu, 0.2 × 36 = machipi 7.2 amabwerera pa 5 iliyonse yobetchedwa, +44%. Pa kamodzi pa kanayi, +80%.

    N’chifukwa chake kupindula pang’ono pa kulondola kuli kofunika kwambiri, ndiponso chifukwa chake makasino amatseka ma call bettebuloCall betBetcha limene limalengezedwa kwa dealer m’malo moikidwa ndi dzanja, kawirikawiri betcha la gawo la gudumu monga voisins kapena tiers. Limatchedwanso “betcha lolengezedwa”.Werengani yonse → msanga pa ndalama zazikulu: kusiyana kochepa kumeneko ndiko phindu lonse la kasino. Osewera a ku Ritz a mu 2004 akuti ankabetcha motere.

  2. Thorp analemba zolakwika zinayi zodziyimira payokha m’kuneneratu kwake, m’tibowo: 1.4 kuchokera pa kuyeza nthawi ya rotorzipangizoRotorGawo lozungulira la gudumu limene limanyamula tibowo.Werengani yonse →, 5.5 kuchokera pa kuyeza nthawi ya mpirazipangizoMpiraMpira waung’ono umene umaponyedwa mu njira motsutsana ndi rotor. Mipira yamakono ndi ya ivorine kapena Teflon, 18–21 mm.Werengani yonse →, 7 kuchokera pa kugwa kwa mpira kudutsa ma deflectorzipangizoDeflectorChimodzi mwa zotchinga zachitsulo pa apron zomwe zimamwaza mpira wogwa. Chimatchedwanso: canoe, diamond, pin.Werengani yonse → ndi 6 kuchokera pa kudumphadumpha m’tibowo. Kodi chiwerengero chonse ndi chachikulu bwanji, ndipo zolakwika ziwiri za kuyeza nthawi zimaonjezera zingati?

    Onetsani yankho

    Yankho Pafupifupi tibowo 10.8 tonse pamodzi. Popanda zolakwika za kuyeza nthawi zikanakhala 9.2, choncho kuyeza nthawi kuwiri kumaonjezera 1.6 yokha.

    Zolakwika zodziyimira payokha siziphatikizana mwachindunji; mabwalo awo ndiwo amaphatikizana. Kukula kwanthawi zonse kwa chiwerengero chonse ndi muzu wa chiwerengero cha mabwalo: 1.4² + 5.5² + 7² + 6² = 1.96 + 30.25 + 49 + 36 = 117.2, ndipo √117.2 ≈ 10.8.

    Popanda zolakwika ziwiri za kuyeza nthawi: √(49 + 36) = √85 ≈ 9.2.

    Chiwerengero chonse cha tibowo 10.8 chili mkati mwa malire a tibowo 17 m’tebulo la patsamba lino ndipo chili ndi phindu la pafupifupi +34% pa nambala imodzi. Phunziro limene Thorp anatenga: kugwa kudutsa ma deflector kukakhala cholakwika chachikulu kwambiri, kuyeza nthawi bwino kumapindulitsa pang’ono.

Nthabwala yopumitsa

Fiziki imagwira ntchito. Nthawi yobetcha inatsekedwa.

Fiziki imagwira ntchito. Nthawi yobetcha inatsekedwa.

Magwero

  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, mutu 465. Gawo 465.075, kugwiritsa ntchito chipangizo kulosera zotsatira za masewera (1985).
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