Tarihi da al'adu · Tarihi · minti 9

Tarihin tsare-tsaren caca na roulette

Ƙarni biyu na mutane suna rubuta dokoki kan yadda za su canja kuɗin cacarsu.

Amsa a taƙaice

Martingale na ƙarni na 18 ne; D’Alembert an sanya masa sunan masanin lissafin da bai so shi ba; Labouchère abin sha'awar wani ɗan siyasa ne na zamanin Victoria. Babu ɗaya daga cikinsu da ya yi aiki a lokacin ma.

Martingale
ƙarni na 18, Faransa
D’Alembert
sunan mutumin da ya rayu 1717–1783
Labouchère
ƙarni na 19, Ingila
gwajin farko da kwamfuta
shekarun 1950

Martingale

Sunan ya fito ne daga kalmar ʼyan caca ta yaren Provençal (à la martegalo, “kamar yadda mutanen Martigues ke yi”, waɗanda aka san su da ganganci) don cacar ninkawa, kuma an rubuta shi a ƙamus-ƙamus na Faransanci tun shekarun 1760. Thorp (1984), bisa ga American Heritage Dictionary, ya ba da wani bayani na gargajiya na biyu: ana yi wa mutanen Martigues ba'a saboda baƙin halaye, ciki har da ɗaure wandonsu ta baya, don haka kalmar ta zo tana nufin “ta hanyar ban dariya”. Tun a ƙarni na 18 a Paris ta riga ta zama labarin gargaɗi: Casanova ya bayyana yadda ya yi asarar dukiya mai yawa yana ninkawa a wasan faro a Venice a shekarun 1750. Lissafin dalilin da ya sa yake gazawa, wato iyakar teburiteburIyakar teburiMafi ƙanƙanta da mafi girman cacar da aka yarda da ita. Mafi girman ita ce ke dakatar da jerin ƙarin caca masu ninkawa.Karanta gaba ɗaya → da jarin cacakuɗiJarin cacaJimillar kuɗin da aka ware don wasa. Sarrafa jarin caca shi ne yanke shawarar nawa za a sa a haɗari a kowace caca da kowane zaman wasa.Karanta gaba ɗaya → mai iyaka, an fahimce shi kafin shekarun 1770. A ka'idar yiwuwalissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya →, “martingaledabaraMartingaleJerin ƙarin caca da ke ninka caca bayan kowace asara. Ku duba sashen “Dabarun caca na roulette” don ganin abin da yake yi da wanda ba ya yi.Karanta gaba ɗaya →” ya zama kalmar fasaha a shekarun 1930 don wasa mai adalcilissafiWasa mai adalciWasan da babu ɓangaren da ke da fifiko: kowace caca tana da ƙimar da ake tsammani ta sifili.Karanta gaba ɗaya →, wanda shi ne abu ɗaya da Martingale na roulette ba shi ba.

A wasan faro a Venice, ɗan wasa yana ninkawa bayan asara, kamar yadda Casanova ya yi.

Iyakokin teburin roulette

D’Alembert

Jean le Rond d’Alembert ya yi jayayya a cikin Encyclopédie (1754) cewa bayan jerin “kai” a jefa tsaba, “wutsiya” ta fi yiwuwa, wanda ke ɗaya daga cikin bayanan farko na kuskuren ɗan caca daga wani babban masanin lissafi. Tsarin cacar da ke ƙara raka'akuɗiRaka'aKuɗin caca na tushe da tsari ko ɗan wasa ke aiki da shi. Ana bayyana jerin ƙarin caca a raka'a don su yi aiki a kowane tebur.Karanta gaba ɗaya → ɗaya bayan asara da rage ɗaya bayan nasara, ʼyan caca na baya waɗanda suka yi imani da haka ne suka sanya masa sunansa. Shi bai ba da shawararsa ba, kuma a lokutan da tunaninsa ya fi kyau, da ya ƙi shi.

Dabarar D'Alembert a roulette

Labouchère

Henry LabouchèredabaraLabouchèreTsarin sharewa: a rubuta layin lambobi, a yi caca da jimillar lambobi biyu na ƙarshe, a share su bayan nasara, a ƙara kuɗin cacar da aka rasa bayan asara.Karanta gaba ɗaya → (1831–1912), ɗan jarida, mai gidan wasan kwaikwayo kuma ɗan majalisa na jam'iyyar Liberal, ya yaɗa tsarin sokewa (cancellation) a cikin manyan mutanen London a shekarun 1870, kuma an ruwaito cewa ya yi amfani da shi a Monte Carlo. Hanyar, wato rubuta layin lambobi da yin caca da jimillar lambobin gefe biyu, ta wanzu tun kafin zamaninsa. Sunansa ya manne ne saboda an san shi da wasu abubuwa, kuma saboda tsarin yana da siffar da ba a cika samu ba: yawanci yana aiki, abin da ya sa ya zama abin hira a wajen cin abinci.

Tsare-tsare da waɗanda aka sanya musu sunansu
shekarun 1750

Casanova ya yi asara yana ninkawa a faro. Martingale ya riga ya tsufa.

1754

D’Alembert ya wallafa kuskuren tunanin da daga baya aka sanya wa wani tsari sunansa.

shekarun 1760

Kalmar “Martingale” ta shiga ƙamus-ƙamus na Faransanci a matsayin kalmar ʼyan caca.

shekarun 1870

Labouchère ya yaɗa tsarin sokewa a London.

shekarun 1890

Jerin ƙarin caca na Fibonacci da Paroli sun bayyana a littattafan jagorar caca.

shekarun 1900

Ana sayar da tsare-tsaren “sector” bisa tsarin dabaran ta hanyar aika wasiƙa.

1939

Halmos, ɗalibin Doob, ya tabbatar cewa babu tsarin caca da zai iya mayar da wasa mara amfani ga ɗan wasa ya zama mai amfani.

shekarun 1950–60

Kwamfutoci sun kwaikwayi kowane tsari. Duka sun nuna −1/37 na jimillar caca.

yau

Tsare-tsaren iri ɗaya ake sayarwa a intanet da sakamako iri ɗaya, kuma ana kwaikwayon su cikin burauza a wannan shafin.

Roulette na Monte CarloDabarar Labouchère a roulette

Ƙarni na 20

FibonaccidabaraFibonacciJerin ƙarin caca da ke bin jerin lambobi 1, 1, 2, 3, 5, 8, 13…: mataki ɗaya gaba bayan asara, matakai biyu baya bayan nasara.Karanta gaba ɗaya → da ParolidabaraParoliJerin ƙarin caca bayan nasara: a ninka bayan nasara, a koma farko bayan asara ko bayan nasarori uku a jere. Ana kuma kiransa: reverse Martingale.Karanta gaba ɗaya → sun shiga littattafan jagorar caca a kusan 1900. Tsakiyar ƙarnin ta kawo tsare-tsaren da ake sayarwa ta wasiƙa, kowanne da shaidar wani mutum da alkawarin mayar da kuɗi, da kwaikwayo na farko da kwamfuta, waɗanda suka nuna abin da lissafi ya riga ya faɗa. Hujjar cewa babu tsarin da zai yi aiki ta riga ta kasance: Joseph Doob (1936) da Paul Halmos (1939) sun nuna cewa babu wata doka ta zaɓar lokacin caca da yawan kuɗin caca da ke canja sakamakon da ake tsammani na wasa mai adalci ko mara amfani ga ɗan wasa, kuma binciken Thorp na 1969 ya bayyana sharuɗɗan ta yadda ʼyan caca ke haɗuwa da su. Tun daga lokacin tsare-tsaren ba su canja ba; tallarsu ce ta koma daga ƙasidu zuwa bidiyo.

Wani ma'aikaci yana duba tsarin da ake sayarwa ta wasiƙa da kwaikwayon kwamfuta, kuma layin sai faɗuwa kawai yake.

Tatsuniya: dabarar roulette da kullum take cin nasaraDabarar Fibonacci a roulette

Dalilin da ya sa suke ci gaba da wanzuwa

Tsari yana ba ɗan wasa abin yi da labarin da zai ba da. Yawancin zaman wasa a ƙarƙashin yawancin tsare-tsare suna ƙarewa da ƙaramar nasara, wanda labari ne mafi daɗi fiye da lissafi. Zaman wasa na asara ba su da yawa kuma ana tunawa da su a matsayin rashin sa'a. Talla ba ta buƙatar yin ƙarya game da yiwuwar cin nasara; tana buƙatar nuna zaman wasa ɗaya na nasara kawai, kuma akwai su da yawa. Hujjar akasin haka, 2.70% na jimillar cacakuɗiJimillar cacaJimillar kuɗin da aka yi caca da su a cikin zaman wasa ko wani lokaci, har da kuɗin da aka ci aka sake sawa. Ana kuma kiranta: handle, action.Karanta gaba ɗaya →, tana nan tun 1796 kuma ba ta taɓa gamsarwa kamar dare ɗaya na sa'a ba.

tsariƙarniabin da aka yarda yana yiabin da yake yi
Martingalena 18tabbatar da nasara ta hanyar ninkawayana cin kaɗan sau da yawa; yana asara mai yawa lokaci-lokaci; −2.70%
D’Alembertna 18–19cin moriyar daidaito tsakanin nasara da asarakuɗin caca yana ta hawa a hankali; −2.70%
Labouchèrena 19tabbatar da jimillar layinyawanci layin yana ƙarewa; wani lokaci yana fita daga hannu; −2.70%
Fibonaccina 19–20Martingale mai sauƙihawa a hankali, faɗuwa mafi zurfi; −2.70%
Parolina 19–20bin jerin nasaroriƙananan asarori sau da yawa, manyan nasarori lokaci-lokaci; −2.70%
Tsare-tsaren sectorna 20cin moriyar tsarin dabaranbabu komai; −2.70%

Tsare-tsaren da ake sayarwa

Kasuwancin ƙarni na 20 ya ƙara nasa dabaru, kowanne sabon tsari na cace-cace iri ɗaya marasa amfani ga ɗan wasa. An sayar da Phase One a kan $25 da 10% na abin da mai saye ya ci, tare da alkawarin Phase Two idan an biya $500 da kuma “Inner Circle” a kan $5,000. Babu ɗaya daga cikinsu da ke canja lissafin: ƙimar da ake tsammanilissafiƘimar da ake tsammaniMatsakaicin sakamako a kowace caca a cikin dogon lokaci. −1/37 na kuɗin caca a kowace cacar Turai ta yau da kullum.Karanta gaba ɗaya → ta jerin cace-cace ita ce jimillar ƙimar da ake tsammani ta kowace caca.

tsarimanufarabin da ke faruwa a zahiri
Phase Onebayan ja biyar, a sa caca a kan baƙi bisa matakan raka'a 5, 25, 70, 200, 500 da 1,000juyi na shida har yanzu yiwuwar ja 18/38 ce; asara shida a jere, kusan 1 cikin 47 a dabaran mai sifili biyu, tana kashe raka'a 1,800
Jiran sifilia jira juyi 40 ba tare da 0 ko 00 ba, sannan a sa caca a kan duka biyun, ana ƙara raka'a ɗaya bayan kowane rashin fitowasifilai ba su “kusa fitowa” ba: duka biyun suna rashin fitowa a juyi 40 kusan sau ɗaya cikin tara, kuma juyi na gaba har yanzu 2 cikin 38 ne. Ƙarin rashin fitowa goma yana kashe raka'a 110; fitowa a na goma sha ɗaya tana ba da ribar tsaf ta raka'a 264. Tasiri ɗaya tilo shi ne ƙarancin cace-cace yayin jira
Favored 5a jira har lambobi biyar su maimaita, sannan a sa caca a kansukowane jerin juye-juye yana da maimaitawa; a dabaran da ake kula da shi ba sa hasashen komai
Juyawar ROL / BEHcace-cace masu kuɗi iri ɗaya masu biya daidai da kuɗin caca, ana juyawa tsakanin ja, mara, ƙanana da baƙi, cika, manyajerin cace-cace masu zaman kansu, kowacce da cikakken fifikon gidan caca
Tsarin “Guaranteed” na BartschellyLabouchère da ke shimfiɗa kowace asara a kan lambobin da ke akwai maimakon ƙara ta a ƙarshelayin ba ya ƙara tsawo; amma kuɗin caca suna ƙaruwa duk da haka

Wanda ba tsari ba ne

Dokokin tsayawa: yanke shawara tun da wuri kan yawan kuɗin da za a yi asara ko a ci, sannan a tafi. Ana yawan sayar da su a matsayin wani ɓangare na tsari, kuma su ne kawai ɓangaren da ke yin wani abu, domin suna rage jimillar caca. Ba a sanya musu sunan kowa ba, wanda ya dace.

Tambayoyi

Wane tsari ne mafi tsufa?

Martingale, da ƙarni ɗaya ko fiye. Ninkawa bayan asara shi ne tunani na farko da kowa ke yi.

Shin akwai shahararren masanin lissafi da ya goyi bayan wani tsari?

D’Alembert ne ya fi kusa, ba da gangan ba. Pascal, Fermat, Huygens, Bernoulli da Laplace duka sun bayyana dalilin da ya sa suke gazawa.

Me ya sa har yanzu ake sayen tsare-tsare?

Domin yawancin zaman wasa suna ƙarewa da nasara, kuma bidiyon zaman wasa na nasara ba shi da tsada a yi.

Ɗan barkwanci

Ƙarni biyu na sunaye. Lamba ɗaya.

Ƙarni biyu na sunaye. Lamba ɗaya.

Majiyoyi

  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. Doob, J. L. “Note on probability.” Annals of Mathematics 37(2), 1936.
  4. Halmos, P. R. “Invariants of certain stochastic transformations: the mathematical theory of gambling systems.” Duke Mathematical Journal 5(2), 1939.
  5. d’Alembert, J. “Croix ou pile.” Encyclopédie, juzu'i na 4, 1754.
  6. Schwartz, D. G. Roll the Bones: The History of Gambling. Gotham, 2006.
  7. Kavanagh, T. M. Dice, Cards, Wheels: A Different History of French Culture. University of Pennsylvania Press, 2005.
  8. Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press, 2021. Babi na 2, roulette.
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