Ũhoro wa tene wa mĩtaratara ya rureti
Karine igĩrĩ cia andũ makĩandĩka mawatho ma kũgarũra mbeca cia beti ciao.

Martingale nĩ ya karine ya 18; D’Alembert ĩtanĩtio na mũtaalamu wa hithabu ũtaamĩendaga; Labouchère yarĩ mũthako wa mwanasiasa wa hĩndĩ ya Victoria. Gũtirĩ o na ĩmwe yarutaga wĩra o na hĩndĩ ĩyo.
Martingale
Rĩĩtwa rĩu rĩrumanĩte na ciugo cia athaki a beti cia Provençal (à la martegalo, “ta andũ a Martigues”, arĩa maamenyekaga nĩ ũgũrũki) cia beti ya gũcookereria maita meerĩ, na nĩ rĩandĩkĩtwo ibuku-inĩ cia ciugo cia Kĩbaranja kuuma mĩaka ya 1760. Thorp (1984), arũmĩrĩire American Heritage Dictionary, aheanaga ũtaarĩrio ũngĩ wa ng'ano: andũ a Martigues nĩ maathekagwo nĩ ũndũ wa mĩtugo ĩgeni, ta kuoha marũthũa mao na thutha, nĩ ũndũ ũcio ciugo icio igĩtuĩka “na njĩra ya kĩrimũ”. O na karine-inĩ ya 18 Paris yarĩ ng'ano ya kũmenyithia andũ: Casanova ataaragia ũrĩa aaũrirwo nĩ ũtonga akĩgĩcookereria maita meerĩ faro-inĩ Venice mĩaka-inĩ ya 1750. Hithabu ya gĩtũmi kĩa kũremwo kwayo, mũhaka wa methamethaMũhaka wa methaBeti nini mũno na nene mũno ĩrĩa yĩtĩkĩrĩtio. Mũhaka wa igũrũ nĩguo ũrũgamagia mĩgarũrĩro ya beti ya kũingĩhia maita meerĩ.Thoma wothe → na mbeca cia mũthakombecaMbeca cia mũthakoMbeca ciothe iria ciigĩtwo cia gũthaka. Ũrũgamĩrĩri wa mbeca cia mũthako nĩ gũtua nĩ cigana ũngĩiga ũgwati-inĩ beti-inĩ o ĩmwe na ihinda-inĩ o rĩmwe rĩa mũthako.Thoma wothe → irĩ na mũthia, nĩ yamenyekete o mĩaka-inĩ ya 1770. Ũmenyo-inĩ wa mwekehithabuMwekeMweke wa mũico, kuuma 0 nginya 1 kana 0% nginya 100%. Namba ĩmwe: 1/37 = 2.70%.Thoma wothe →, “martingalemũbangoMartingaleMũgarũrĩro wa beti ũrĩa ũingĩhagia beti maita meerĩ thutha wa o hasara. Rora gĩcunjĩ kĩa Mĩbango wone ũrĩa ũrutaga na ũrĩa ũtarutaga.Thoma wothe →” nĩ yatuĩkire kiugo kĩa ũmenyo mĩaka-inĩ ya 1930 kĩa mũthako wa kĩhootohithabuMũthako wa kĩhootoMũthako ũrĩa gũtirĩ mwena ũrĩ na uumithio: o beti ĩrĩ na thogora ũrĩa wetagĩrĩrwo wa thero.Thoma wothe →, na ũcio nĩguo ũndũ ũmwe Martingale ya rureti ĩtarĩ.

D’Alembert
Jean le Rond d’Alembert nĩ aandĩkire thĩinĩ wa Encyclopédie (1754) atĩ thutha wa mũhari wa mĩtwe, mĩtina nĩ ĩkoragwo na mweke mũnene makĩria, na ũcio warĩ ũmwe wa ũtaarĩrio wa mbere wa ihĩtia rĩa mũthaki wa beti kuuma kũrĩ mũtaalamu wa hithabu ũmenyekeine. Mũtaratara wa beti ũrĩa wongagĩrĩra gĩthimombecaGĩthimoMbeca cia beti cia mũthingi iria mũtaratara kana mũthaki ahũthagĩra. Mĩgarũrĩro ya beti ĩtaarĩrio na ithimo nĩguo ĩhũthĩke metha-inĩ o yothe.Thoma wothe → thutha wa hasara na ũkarutha kĩmwe thutha wa ũhootani nĩ waheirwo rĩĩtwa rĩake nĩ athaki a beti a thutha arĩa meetĩkagia ũndũ o ro ũcio. We ndaawugire, na mĩthenya-inĩ yake mĩega angĩamĩregire.
Labouchère
Henry LabouchèremũbangoLabouchèreMũtaratara wa kũhuria: andĩka mũhari wa namba, beti mũigana wa namba cia mĩthia yerĩ, ũcihurie thutha wa ũhootani, wongerere mbeca cia beti iria ciathira thutha wa hasara.Thoma wothe → (1831–1912), mwandĩki wa ngathiti, mwene thiata na mũbunge wa Liberal, nĩ aamenyithirie mũtaratara wa kũhuria namba kũrĩ andũ a igũrũ a London mĩaka-inĩ ya 1870 na kuugagwo nĩ aamũhũthagĩra Monte Carlo. Njĩra ĩyo, kwandĩka mũhari wa namba na kũbeti mũigana wa namba cia mĩthia yeerĩ, nĩ ĩrĩ ya tene gũkĩra we. Rĩĩtwa rĩake nĩ rĩanyiitire nĩ ũndũ nĩ aamenyekaga nĩ ũndũ wa maũndũ mangĩ, na nĩ ũndũ mũtaratara ũcio nĩ ũrĩ na ũhoro ũtakoragwo kaingĩ wa kũruta wĩra mahinda maingĩ, ũrĩa watũmaga ũtuĩke ũhoro wa kwarĩrĩria irio-inĩ cia hwaĩ-inĩ.
Casanova nĩ aaũrirwo nĩ mbeca akĩcookereria maita meerĩ faro-inĩ. Martingale nĩ ĩrĩ ya tene hĩndĩ ĩyo.
D’Alembert nĩ arumburire ihĩtia rĩrĩa thutha-inĩ rĩatuĩkire mũtaratara ũrĩ na rĩĩtwa rĩake.
“Martingale” nĩ ĩtonyire ibuku-inĩ cia ciugo cia Kĩbaranja ĩrĩ kiugo kĩa athaki a beti.
Labouchère nĩ amenyithirie mũtaratara wa kũhuria namba London.
Mĩgarũrĩro ya beti ya Fibonacci na Paroli nĩ yoneka ibuku-inĩ cia gũthomithia beti.
Mĩtaratara ya “icunjĩ” ĩrĩa yathondeketwo kũringana na mũhari wa gĩthiũrũrũki ĩkĩendio na posta.
Halmos, mũrutwo wa Doob, nĩ oonanirie atĩ gũtirĩ mũtaratara wa beti ũngĩgarũra mũthako ũtarĩ mwega ũtuĩke mwega.
Kombiuta nĩ ciaigerekanirie o mũtaratara. Yothe ĩonanagia −1/37 ya mbeca ciothe cia beti.
Mĩtaratara o ĩyo ĩkĩendio Intanetĩ-inĩ na mĩico o ĩyo, ĩigerekanĩtio thĩinĩ wa browser tovuti-inĩ ĩno.
Karine ya 20
FibonaccimũbangoFibonacciMũgarũrĩro wa beti ũrĩa ũrũmagĩrĩra mũhari 1, 1, 2, 3, 5, 8, 13…: kĩgerero kĩmwe mbere thutha wa hasara, igerero igĩrĩ thutha thutha wa ũhootani.Thoma wothe → na ParolimũbangoParoliMũgarũrĩro wa beti wa ũhootani: ingĩhia maita meerĩ thutha wa ũhootani, cooka kĩambĩrĩria thutha wa hasara kana thutha wa ũhootani ithatũ ũrũmanĩrĩire. Ningĩ: Martingale ya kũgarũrũka.Thoma wothe → nĩ ciatonyire ibuku-inĩ cia gũthomithia beti hakuhĩ na 1900. Gatagatĩ-inĩ ka karine ĩyo nĩ kwokire mĩtaratara ĩrĩa yendagio na posta, o ũmwe ũrĩ na ũira wa mũndũ na wĩrĩri wa gũcookio mbeca, na maigerekanio ma mbere ma kombiuta, marĩa moonanirie ũrĩa hithabu yaugĩte o tene. Ũira wa atĩ gũtirĩ mũtaratara ũngĩruta wĩra warĩ kuo o hĩndĩ ĩyo: Joseph Doob (1936) na Paul Halmos (1939) nĩ moonanirie atĩ gũtirĩ watho wa gũthuura rĩrĩa na kĩigana kĩa kũbeti ũgarũraga mũico ũrĩa wetagĩrĩrwo wa mũthako wa kĩhooto kana ũtarĩ mwega, na ũthuthuria wa Thorp wa 1969 nĩ ũtaarĩirie maũndũ macio ta ũrĩa athaki a beti mamakoragwo namo. Kuuma hĩndĩ ĩyo mĩtaratara ndĩrĩ ĩgarũrũka; ũmenyithia nĩguo ũthamĩte kuuma tũbuku tũnini nginya vidio.

Ng'ano: mũbango wa rureti ũhootaga hĩndĩ ciotheMũbango wa Fibonacci
Nĩ kĩĩ ĩtũũraga
Mũtaratara ũheaga mũthaki kĩndũ gĩa gwĩka na ng'ano ya kũheana. Mahinda maingĩ ma mũthako mĩtaratara-inĩ mĩingĩ mathiraga na ũhootani mũnini, na ĩyo nĩ ng'ano njega gũkĩra hithabu. Mahinda ma hasara nĩ manini na maririkanagwo ta kĩeha. Ũmenyithia ndũbataraga kũheenania ũhoro wa mweke; ũbataraga o kuonania ihinda rĩa ũhootani, na nĩ maingĩ. Ũtaarĩrio wa kũrega, 2.70% ya mbeca ciothe cia betimbecaMbeca ciothe cia betiMbeca ciothe iria ciabetirwo ihinda-inĩ rĩa mũthako kana ihinda rĩngĩ, hamwe na mbeca cia ũhootani iria ciabetirwo rĩngĩ. Ningĩ metagwo: handle, action.Thoma wothe →, ũkoretwo kuo kuuma 1843 na ndũrĩ ũkinyĩte gũtoria andũ ta ũtukũ ũmwe wa mũnyaka.
Mĩtaratara ya kwendio
Wonjoria wa karine ya 20 nĩ wongereire mĩbango yaguo, o ũmwe ũrĩ mũbangĩre mwerũ wa beti o icio irĩ na hasara. Phase One yendagio $25 na 10% ya mbeca cia ũhootani cia mũgũri, na Phase Two ĩkerĩrwo mũndũ aarĩha $500 na “Inner Circle” ya $5,000. Gũtirĩ o na ũmwe ũgarũraga hithabu: thogora ũrĩa wetagĩrĩrwohithabuThogora ũrĩa wetagĩrĩrwoMũico wa gatagatĩ wa o beti ĩmwe ihinda-inĩ iraya. −1/37 ya mbeca cia beti o beti ya kawaida ya rureti ya Rũraya.Thoma wothe → wa mũhari wa beti nĩ mũigana wa thogora ũrĩa wetagĩrĩrwo wa o beti.
Ũrĩa ũtarĩ mũtaratara
Mawatho ma kũrũgama: gũtua mbere kĩigana kĩa hasara kana baita na ũgathiĩ. Kaingĩ meendagio marĩ gĩcunjĩ kĩa mũtaratara na nĩo gĩcunjĩ kĩmwe kĩrutaga wĩra, nĩ ũndũ manyihagia mbeca ciothe cia beti. Matirĩ na mũndũ matanĩtio nake, na ũguo nĩ wagĩrĩire.
Ciũria
Martingale, na karine ĩmwe kana makĩria. Gũcookereria maita meerĩ thutha wa hasara nĩ mwĩciria wa mbere wa o mũndũ.
D’Alembert nĩwe wakuhĩrĩirie, na ũtekwenda. Pascal, Fermat, Huygens, Bernoulli na Laplace othe nĩ maataarĩirie gĩtũmi kĩa kũremwo kwayo.
Nĩ ũndũ mahinda maingĩ ma mũthako nĩ mahootaga, na vidio ya ihinda rĩa ũhootani ti ya goro gũthondeka.
Gĩa gũtheka

Karine igĩrĩ cia marĩĩtwa. Namba ĩmwe.
Kũrĩa ũhoro uumĩte
- Thorp, E. O. “Optimal gambling systems for favorable games.”
- Thorp, E. O. The Mathematics of Gambling.
- Doob, J. L. “Note on probability.”
- Halmos, P. R. “Invariants of certain stochastic transformations: the mathematical theory of gambling systems.”
- d’Alembert, J. “Croix ou pile.”
- Schwartz, D. G. Roll the Bones: The History of Gambling.
- Kavanagh, T. M. Dice, Cards, Wheels: A Different History of French Culture.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.