Roulette nhyehyɛe ahodoɔ abakɔsɛm
Mfeɛha mmienu a nnipa kyerɛw mmara a ɛkyerɛ sɛdeɛ wɔsesa wɔn bɛt sika.

Martingale fi afeha a ɛtɔ so 18 mu; D’Alembert din fi akontaabufoɔ bi a na ɔmpɛ no; Labouchère yɛ Victoria bere so amanyɔfoɔ bi anigyedeɛ. Wɔn mu biara anyɛ adwuma saa bere no nso.
Martingale
Din no fi Provence sika agorɔfoɔ kasa mu (à la martegalo, “sɛdeɛ Martigues nkurɔfoɔ yɛ no”, a na wɔagye din sɛ wɔnni ahwɛyie) ma bɛt a wɔbɔ mmɔho, na Franse kasa nsɛmfua nwoma kyerɛw fi 1760 mfeɛ no mu. Thorp (1984), a ɔdi American Heritage Dictionary akyi no, de nkyerɛkyerɛmu foforɔ a ɛyɛ atetesɛm ma: na wɔdi Martigues nkurɔfoɔ ho fɛw wɔ wɔn suban a ɛyɛ nwonwa ho, a ne mu baako ne sɛ na wɔkyekyere wɔn ntadeɛ hama wɔ akyi, enti asɛm no bɛkyerɛɛ “wɔ ɔkwan a ɛyɛ aseredeɛ so”. Na ayɛ kɔkɔbɔ asɛm dedaw wɔ afeha a ɛtɔ so 18 Paris: Casanova ka sɛdeɛ ɔhweree ahonyadeɛ kɛseɛ bi bere a ɔbɔɔ ne bɛt mmɔho wɔ faro mu wɔ Venice wɔ 1750 mfeɛ no mu. Akontaabu a ɛkyerɛ deɛ enti a ɛnyɛ adwuma no, ɛpono ahyeɛɛponoƐpono ahyeɛBɛt sika ase koraa ne soro koraa a wɔma kwan. Ahyeɛ soro no na ɛsiw mmɔho mmienu bɛt nsakraeɛ ntoatoasoɔ.Kenkan ne nyinaa → ne agorɔ dwetiresikaAgorɔ dwetireSika a woayi asie nyinaa ama agorɔ. Agorɔ dwetire so hwɛ ne sɛ wobɛsi gyinaeɛ wɔ dodoɔ a wode bɛto asiane mu wɔ bɛt biara ne agorɔ bere biara mu.Kenkan ne nyinaa → a ɛwɔ ano no, na nnipa ate aseɛ wɔ 1770 mfeɛ no mu. Wɔ hokwanakontaabuHokwanHokwan a biribi bɛba, firi 0 kɔsi 1 anaa 0% kɔsi 100%. Nɔma baako: 1/37 = 2.70%.Kenkan ne nyinaa → ho nimdeɛ mu no, “martingaleɔkwanMartingaleBɛt nsakraeɛ ntoatoasoɔ a ɛbɔ bɛt no mmɔho mmienu ahwereɛ biara akyi. Hwɛ Akwan ɔfa no na hunu deɛ ɛyɛ ne deɛ ɛnyɛ.Kenkan ne nyinaa →” bɛyɛɛ asɛmfua titiriw wɔ 1930 mfeɛ no mu ma agorɔ a ɛyɛ pɛakontaabuAgorɔ a ɛyɛ pɛAgorɔ a afa biara nni mfasoɔ: bɛt biara boɔ a wɔhwɛ kwan yɛ hwee.Kenkan ne nyinaa →, a ɛno ne adeɛ baako pɛ a roulette Martingale nyɛ.

D’Alembert
Jean le Rond d’Alembert kyerɛɛ wɔ Encyclopédie (1754) mu sɛ sɛ ti ba mpɛn pii a, akyi hokwan kɔ soro, sika agorɔfoɔ adwene mfomsoɔ no ho asɛm a edi kan a akontaabufoɔ panin bi kaeɛ. Bɛt nhyehyɛe a ɛde kyɛfasikaKyɛfaBɛt sika a ɛwɔ ase a nhyehyɛe anaa agorɔfoɔ de yɛ adwuma. Wɔka bɛt nsakraeɛ ntoatoasoɔ ho asɛm wɔ kyɛfa mu sɛdeɛ ɛbɛyɛ a ɛbɛfata ɛpono biara.Kenkan ne nyinaa → baako ka ho wɔ ahwereɛ akyi na ɛyi baako firi so wɔ nkonim akyi no, sika agorɔfoɔ a wɔbaa akyire a na wɔwɔ saa gyidie korɔ no ara na wɔde ne din too so. Ɔno ankasa ankyerɛ, na ne nna pa mu deɛ, anka ɔbɛpo.
Labouchère
Henry LabouchèreɔkwanLabouchèreNhyehyɛe a wotwa mu: kyerɛw nɔma santen, to bɛt a ɛyɛ n'ano mmienu no nyinaa bom, twa wɔn mu nkonim akyi, fa bɛt sika a wohweree no ka ho ahwereɛ akyi.Kenkan ne nyinaa → (1831–1912), atesɛm kyerɛwfoɔ, agorɔ dan wura ne Liberal mmarahyɛbagyinafoɔ, maa popa nhyehyɛe no gyee din wɔ London atitire mu wɔ 1870 mfeɛ no mu, na wɔka sɛ ɔde dii dwuma wɔ Monte Carlo. Ɔkwan no, nɔma ntoatoasoɔ a wɔkyerɛw na wɔto bɛt a ɛyɛ nɔma a ɛwɔ ano mmienu no nyinaa ka bom, dii n'anim. Ne din tenaa so ɛfiri sɛ na wagye din wɔ nneɛma foforɔ ho, na nhyehyɛe no wɔ su a ɛnyɛ den sɛ ɛtaa yɛ adwuma, a ɛno maa ɛbɛyɛɛ nkɔmmɔdie asɛm wɔ anwummerɛ aduane ase.
Casanova hwere bere a ɔbɔ ne bɛt mmɔho wɔ faro mu. Na Martingale ayɛ dada dedaw.
D’Alembert tintim adwene mfomsoɔ a akyire yi wɔde ne din too nhyehyɛe bi so.
“Martingale” kɔ Franse kasa nsɛmfua nwoma mu sɛ sika agorɔfoɔ kasa.
Labouchère ma popa nhyehyɛe no gye din wɔ London.
Fibonacci ne Paroli bɛt nsakraeɛ ntoatoasoɔ da adi wɔ sika agorɔ nwoma mu.
“Ɔfa” nhyehyɛe a egyina ntwahonan nhyehyɛe so a wɔtɔn denam krataa a wɔde kɔ post so.
Halmos, Doob sukuuni, kyerɛ sɛ bɛt nhyehyɛe biara ntumi nnane agorɔ a ɛnyɛ mma wo no nyɛ agorɔ a ɛyɛ ma wo.
Kɔmputa yɛ nhyehyɛe biara sɔhwɛ. Ne nyinaa kyerɛ −1/37 wɔ bɛt sika nyinaa mu.
Nhyehyɛe korɔ no ara a wɔtɔn wɔ intanɛt so a ne nsunsuansoɔ yɛ pɛ, a wɔyɛ ho sɔhwɛ wɔ browser mu wɔ saa wɛbsaet yi so.
Afeha a ɛtɔ so 20
FibonacciɔkwanFibonacciBɛt nsakraeɛ ntoatoasoɔ a edi nɔma ntoatoasoɔ 1, 1, 2, 3, 5, 8, 13… akyi: anammɔn baako kɔ anim sɛ wohwere a, anammɔn mmienu san akyi sɛ wodi nkonim a.Kenkan ne nyinaa → ne ParoliɔkwanParoliBɛt nsakraeɛ ntoatoasoɔ a ɛkɔ soro nkonim akyi: bɔ no mmɔho mmienu nkonim akyi, san fi ase ahwereɛ akyi anaa nkonim mmiɛnsa a ɛtoa so akyi. Wɔfrɛ no nso Martingale a ɛdane.Kenkan ne nyinaa → kɔɔ sika agorɔ nwoma mu bɛyɛ 1900. Afeha no mfinimfini de nhyehyɛe a wɔtɔn denam post so baeɛ, a emu biara wɔ adansedie krataa ne bɔhyɛ sɛ wɔbɛsan de sika no ama wo, ne kɔmputa sɔhwɛ a edi kan, a ɛkyerɛɛ deɛ na akontaabu aka dedaw no. Na adansedie a ɛkyerɛ sɛ nhyehyɛe biara ntumi nyɛ adwuma no wɔ hɔ dedaw: Joseph Doob (1936) ne Paul Halmos (1939) kyerɛɛ sɛ mmara biara a ɛkyerɛ bere a wobɛto bɛt ne sika dodoɔ a wobɛto no nsesa agorɔ a ɛyɛ pɛ anaa agorɔ a ɛnyɛ mma wo no nsunsuansoɔ a wɔhwɛ kwan, na Thorp nhwehwɛmu a ɛfiri 1969 no kyerɛkyerɛɛ nhyehyɛe no mu sɛdeɛ sika agorɔfoɔ hyia no. Efi saa bere no nhyehyɛe no nsesaeɛ; dawurubɔ no nko ara na afi nkrataa ketewa so akɔ video so.

Gyidie hunu: roulette ɔkwan a ɛdi nkonim daaFibonacci roulette ɔkwan
Deɛ enti a wɔda so te ase
Nhyehyɛe ma agorɔfoɔ adeɛ bi yɛ ne asɛm bi ka. Nhyehyɛe dodoɔ no ara ase no, agorɔ bere dodoɔ no ara wie wɔ nkonim ketewa mu, na ɛno yɛ asɛm a ɛyɛ dɛ sene akontaabu no. Agorɔ bere a wɔhwere mu no nnu saa, na wɔkae no sɛ akwadwerɛ bɔne. Dawurubɔ no nhia sɛ ɛka atorɔ wɔ odds no ho; deɛ ɛhia ara ne sɛ ɛbɛkyerɛ agorɔ bere a wɔdii nkonim, na ɛno dɔɔso. Asɛm a ɛtia no, 2.70% wɔ bɛt sika nyinaasikaBɛt sika nyinaaSika nyinaa a wɔde to bɛt wɔ agorɔ bere anaa bere bi mu, a nkonim sika a wɔsan de to ka ho. Wɔfrɛ no nso handle, action.Kenkan ne nyinaa → mu, na ɛwɔ hɔ fi 1796, nanso ɛntumi mmɔ adwene sɛ anadwo a akwadwerɛ wom.
Nhyehyɛe a wɔtɔn
Afeha a ɛtɔ so 20 adwadie no de nhyehyɛe foforɔ kaa ho, a emu biara yɛ bɛt bɔne korɔ no ara a wɔasesa wɔn nhyehyɛe. Wɔtɔn Phase One $25 ne 10% wɔ deɛ ɔtɔeɛ no nkonim sika mu, na wɔhyɛɛ Phase Two bɔ sɛ wotua $500 wie a, ne “Inner Circle” bi a ɛyɛ $5,000. Wɔn mu biara nsesa akontaabu no: bɛt ntoatoasoɔ bi boɔ a wɔhwɛ kwanakontaabuBoɔ a wɔhwɛ kwanNsunsuansoɔ mfinimfini boɔ wɔ bɛt biara so wɔ bere tenten mu. Bɛt sika no −1/37 wɔ Yuropu bɛt biara a ɛyɛ daa deɛ so.Kenkan ne nyinaa → yɛ wɔn mu biara boɔ a wɔhwɛ kwan no nyinaa a wɔaka abom.
Deɛ ɛnyɛ nhyehyɛe
Gyinaeɛ mmara: sɛ wosi gyinaeɛ ansa sɛ sika dodoɔ bɛn na wobɛhwere anaa wobɛnya na afei woafiri hɔ. Wɔtaa tɔn no sɛ nhyehyɛe bi fa, na ɛno nko ara ne ɔfa a ɛyɛ biribi, ɛfiri sɛ ɛtew bɛt sika nyinaa so. Obiara din nni so, na ɛno fata.
Nsɛmmisa
Martingale, afeha baako anaa nea ɛboro saa. Bɛt a wɔbɔ mmɔho wɔ ahwereɛ akyi ne adwene a edi kan a obiara nya.
D’Alembert na ɔbɛn kakra, a ɛnyɛ n'apɛdeɛ. Pascal, Fermat, Huygens, Bernoulli ne Laplace nyinaa kyerɛkyerɛɛ deɛ enti a ɛnyɛ adwuma.
Ɛfiri sɛ agorɔ bere dodoɔ no ara di nkonim, na agorɔ bere a wɔdii nkonim ho video yɛ mmerɛ.
Serew kakra

Mfeɛha mmienu a din pii wom. Nɔma baako.
Nsɛm fibea
- 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.