Mbiri ya Madongosolo a Roulette
Zaka mazana awiri za anthu olemba malamulo osinthira ndalama zawo zobetcha.

Martingale ndi ya m’zaka za zana la 18; D’Alembert yatchedwa dzina la katswiri wa masamu amene sankaikonda; Labouchère inali chizolowezi cha wandale wa nthawi ya Victoria. Palibe ngakhale imodzi imene inagwira ntchito ngakhale nthawi imeneyo.
Martingale
Dzinali limachokera ku mawu a m’misewu a juga a Chiprovensali (à la martegalo, “monga anthu a ku Martigues”, amene ankadziwika kuti ndi osasamala) otanthauza betcha lowirikiza, lolembedwa m’madikishonale a Chifalansa kuyambira m’ma 1760. Thorp (1984), kutsatira American Heritage Dictionary, apereka kufotokozera kwachiwiri kwa anthu wamba: anthu a ku Martigues ankanyozedwa chifukwa cha zizolowezi zachilendo, monga kumanga mathalauza awo kumbuyo, choncho mawuwo anayamba kutanthauza “mopusa”. Inali kale nkhani yochenjeza ku Paris m’zaka za zana la 18: Casanova afotokoza momwe anatayira chuma chambiri powirikiza pa faro ku Venice m’ma 1750. Masamu a chifukwa chake imalephera, malire a tebulotebuloMalire a tebuloBetcha lochepa kwambiri ndi lalikulu kwambiri lololedwa. Malire apamwamba ndiwo amaimitsa maprogression owirikiza.Werengani yonse → ndi ndalama zosewererandalamaNdalama zosewereraNdalama zonse zimene mwazisiyira masewera. Kusamalira ndalama zosewerera ndiko kusankha kuchuluka kwake komwe mungaike pachiopsezo pa betcha lililonse ndi pa gawo lililonse la masewera.Werengani yonse → zimene zili ndi malire, ankamveka bwino pofika m’ma 1770. Mu chiphunzitso cha kuthekeramasamuKuthekeraMwayi wa zotsatira, kuchokera 0 mpaka 1 kapena 0% mpaka 100%. Nambala imodzi: 1/37 = 2.70%.Werengani yonse → mawu oti “martingalenjiraMartingaleProgression yowirikiza betcha pambuyo poluza kulikonse. Onani gawo la Njira kuti mudziwe zimene imachita ndi zimene siimachita.Werengani yonse →” anakhala mawu a sayansi m’ma 1930 otanthauza masewera achilungamomasamuMasewera achilungamoMasewera amene palibe mbali yokhala ndi mwayi: betcha lililonse lili ndi mtengo woyembekezeka wa ziro.Werengani yonse →, chinthu chokhacho chimene Martingale ya roulette si ili.

D’Alembert
Jean le Rond d’Alembert ananena mu Encyclopédie (1754) kuti mutu wa ndalama ukatuluka kangapo motsatizana, mchira umakhala wotheka kwambiri, kunena koyambirira kwa chinyengo cha wotchova juga ndi katswiri wa masamu wotchuka. Dongosolo la kubetcha limene limawonjezera unitndalamaUnitNdalama zobetcha zoyambira zimene dongosolo kapena wosewera amagwiritsa ntchito. Maprogression amafotokozedwa mu ma unit kuti agwire ntchito pa tebulo lililonse.Werengani yonse → imodzi pambuyo pa kuluza ndi kuchotsa imodzi pambuyo pa kupambana linatchedwa dzina lake ndi otchova juga a pambuyo pake amene anali ndi chikhulupiriro chomwecho. Iye sanalipereke, ndipo pa masiku ake abwino akanalikana.
Labouchère
Henry LabouchèrenjiraLabouchèreDongosolo lofufutira: lembani mzere wa manambala, betchani chiwerengero cha mapeto awiri, afufuteni mutapambana, onjezerani ndalama zobetcha zotayika mutaluza.Werengani yonse → (1831–1912), mtolankhani, mwini bwalo la masewero ndi phungu wa chipani cha Liberal, anafalitsa dongosolo lofufuta manambala pakati pa anthu apamwamba a ku London m’ma 1870 ndipo akuti analigwiritsa ntchito ku Monte Carlo. Njirayi, yolemba mzere wa manambala ndi kubetcha chiwerengero cha manambala a kumapeto awiri, inalipo iye asanabadwe. Dzina lake linakakamira chifukwa anali wotchuka pa zinthu zina komanso chifukwa dongosololi lili ndi khalidwe losowa loti kawirikawiri limagwira ntchito, zimene zinapangitsa kuti likhale nkhani yocheza pa chakudya cha madzulo.
Casanova aluza powirikiza pa faro. Martingale ndi yakale kale.
D’Alembert afalitsa chinyengo chomwe pambuyo pake chinatchedwa dzina lake ngati dongosolo.
“Martingale” ilowa m’madikishonale a Chifalansa ngati mawu a m’misewu a juga.
Labouchère afalitsa dongosolo lofufuta manambala ku London.
Maprogression a Fibonacci ndi Paroli aonekera m’mabuku otsogolera a juga.
Madongosolo a “magawo” ozikidwa pa dongosolo la manambala pa gudumu agulitsidwa kudzera pa positi.
Halmos, wophunzira wa Doob, atsimikizira kuti palibe dongosolo la kubetcha limene lingasinthe masewera osapindulitsa kukhala opindulitsa.
Makompyuta ayerekezera dongosolo lililonse. Onse asonyeza −1/37 ya ndalama zonse zobetchedwa.
Madongosolo omwewo agulitsidwa pa intaneti ndi zotsatira zomwezo, oyerekezedwa mu msakatuli patsamba lino.
Zaka za zana la 20
FibonaccinjiraFibonacciProgression yotsatira ndandanda 1, 1, 2, 3, 5, 8, 13…: sitepe imodzi kutsogolo pambuyo poluza, masitepe awiri kumbuyo pambuyo popambana.Werengani yonse → ndi ParolinjiraParoliProgression yabwino: wirikizani mutapambana, bwererani poyambira mutaluza kapena mutapambana katatu motsatizana. Imatchedwanso: reverse Martingale.Werengani yonse → analowa m’mabuku otsogolera a juga cha m’ma 1900. Chapakati pa zaka za zana limenelo panabwera madongosolo ogulitsidwa kudzera pa positi, lililonse ndi umboni wa makasitomala ndi lonjezo lobweza ndalama, komanso kuyerekezera koyamba pa kompyuta, kumene kunasonyeza zimene masamu ankanena kale. Umboni woti palibe dongosolo lingagwire ntchito unalipo kale: Joseph Doob (1936) ndi Paul Halmos (1939) anasonyeza kuti palibe lamulo losankhira nthawi ndi kuchuluka kwa kubetcha limene limasintha zotsatira zoyembekezeka za masewera achilungamo kapena osapindulitsa, ndipo kafukufuku wa Thorp wa 1969 anafotokoza mfundozi m’njira imene otchova juga amazikumana nazo. Kuyambira pamenepo madongosolowa sanasinthe; malonda okha ndiwo asamuka kuchoka pa timapepala kupita pa mavidiyo.

Nthano: Njira ya Roulette Imene Imapambana Nthawi ZonseNjira ya Roulette ya Fibonacci
Chifukwa chake akupitirirabe
Dongosolo limapatsa wosewera chochita ndi nkhani yoti anene. Magawo a masewera ambiri pansi pa madongosolo ambiri amatha ndi phindu laling’ono, ndipo imeneyo ndi nkhani yabwino kuposa masamu. Magawo oluza ndi osowa ndipo amakumbukiridwa ngati tsoka. Malonda safunika kunama za mwayi; amangofunika kusonyeza gawo limodzi lopambana, ndipo alipo ambiri. Mfundo yotsutsa, 2.70% ya ndalama zonse zobetchedwandalamaNdalama zonse zobetchedwaNdalama zonse zobetchedwa mu gawo la masewera kapena nthawi inayake, kuphatikizapo ndalama zopambana zobetchedwanso. Zimatchedwanso: handle, action.Werengani yonse →, yakhalapo kuyambira 1796 ndipo sinakhalepo yokopa ngati usiku umodzi wamwayi.
Madongosolo ogulitsidwa
Malonda a m’zaka za zana la 20 anawonjezera ziwembu zawo, chilichonse chili kakonzedwe katsopano ka mabetcha omwewo otayitsa. Phase One inkagulitsidwa pa $25 kuphatikiza 10% ya phindu la wogula, ndi lonjezo la Phase Two akalipira $500 ndi “Inner Circle” pa $5,000. Palibe ngakhale imodzi imene imasintha masamu: mtengo woyembekezekamasamuMtengo woyembekezekaZotsatira zapakati pa betcha lililonse pa nthawi yayitali. −1/37 ya ndalama zobetcha pa betcha lililonse la ku Ulaya wamba.Werengani yonse → wa mabetcha angapo motsatizana ndi chiwerengero cha mitengo yoyembekezeka ya betcha lililonse.
Imodzi imene si dongosolo
Malamulo oima: kusankhiratu kuchuluka kwa ndalama zoti mutaye kapena kupambana ndi kuchoka. Kawirikawiri amagulitsidwa ngati gawo la dongosolo ndipo ndiwo gawo lokhalo limene limachita kanthu, chifukwa amachepetsa ndalama zonse zobetchedwa. Alibe munthu amene anawapatsa dzina, zomwe n’zoyenera.
Mafunso
Martingale, ndi zaka zana kapena kuposerapo. Kuwirikiza pambuyo pa kuluza ndi lingaliro loyamba limene aliyense amakhala nalo.
D’Alembert ndi amene anayandikira kwambiri, mwangozi. Pascal, Fermat, Huygens, Bernoulli ndi Laplace onse anafotokoza chifukwa chake amalephera.
Chifukwa magawo ambiri amapambana, ndipo vidiyo ya gawo lopambana ndi yotsika mtengo kupanga.
Nthabwala yopumitsa

Zaka mazana awiri za mayina. Nambala imodzi.
Magwero
- 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.