Njira ya Roulette ya Fibonacci
Mu njira ya roulette ya Fibonacci, ndalama zobetcha zimatsatira 1, 1, 2, 3, 5, 8, 13… Pitani patsogolo sitepe imodzi pambuyo pa kuluza, bwererani ziwiri pambuyo pa kupambana.
Siigonjetsa gudumu; palibe dongosolo la ndalama zobetcha limene limatero. Ndi yofatsa kuposa Martingale, choncho imapirira kuluza motsatizana kwautali isanafike pa malire, ndipo imabwezera pang’onopang’ono. Kutayika koyembekezeka ndi 2.70% yomweyo ya ndalama zonse zobetchedwandalamaNdalama zonse zobetchedwaNdalama zonse zobetchedwa mu gawo la masewera kapena nthawi inayake, kuphatikizapo ndalama zopambana zobetchedwanso. Zimatchedwanso: handle, action.Werengani yonse →.
Momwe ndondomeko ya manambala imapangidwira
Nambala iliyonse ndi chiwerengero cha ziwiri zisanachitike.
Choncho pambuyo pa 8 ndi 13 pamabwera 21.
Jambulani nambala iliyonse ngati bwalo ndipo mabwalowo amalumikizana: latsopano lililonse ndi lalitali ngati awiri asanachitike oikidwa mbali ndi mbali. Gawo limodzi mwa magawo anayi a bwalo lozungulira m’bwalo lililonse limalumikizana kukhala chozungulira.
Yendani mu ndondomeko
Kuluza kumapita sitepe imodzi kumanja. Kupambana kumabwerera masitepe awiri.
Ndalama zobetcha ndi zotsatira zili mu ma unit a betcha loyambira.
Kodi dongosolo la roulette la Fibonacci limagwira ntchito bwanji?
Lembani manambala a FibonaccinjiraFibonacciProgression yotsatira ndandanda 1, 1, 2, 3, 5, 8, 13…: sitepe imodzi kutsogolo pambuyo poluza, masitepe awiri kumbuyo pambuyo popambana.Werengani yonse →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Iliyonse ndi chiwerengero cha iwiri yoyambirira. Yambani pa yoyamba ndipo betchani ma unitndalamaUnitNdalama zobetcha zoyambira zimene dongosolo kapena wosewera amagwiritsa ntchito. Maprogression amafotokozedwa mu ma unit kuti agwire ntchito pa tebulo lililonse.Werengani yonse → amenewo. Mwaluza, mumasuntha sitepe imodzi kumanja. Mwapambana, mumasuntha masitepe awiri kumanzere, kapena kubwerera poyambira ngati palibe malo. Ndilo dongosolo lonse. Tebulo likuonetsa zimene sitepe iliyonse imawononga: kuluza motsatizana kumene kwadulidwa ndi malire a tebulotebuloMalire a tebuloBetcha lochepa kwambiri ndi lalikulu kwambiri lololedwa. Malire apamwamba ndiwo amaimitsa maprogression owirikiza.Werengani yonse → kapena 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 → zanu kumataya chiwerengero cha zonse zobetchedwa mpaka pano.
Kodi gawo la masewera limaoneka bwanji?
Tengani $10 poyambira ndi kuzungulira kasanu ndi katatu: L L P L L L P P. Ndalama zobetcha zimakhala 10, 10, 20 (kupambana, bwererani ziwiri, ku sitepe 1), 10, 10, 20, 30 (kupambana, bwererani ziwiri, ku sitepe 2), 10 (kupambana, bwererani poyambira). Zotayika: 10 + 10 + 10 + 10 + 20 = 60. Zopambana: 20 + 30 + 10 = 60. Kuluza kasanu, kupambana katatu, ndipo muli pa ziro. Ndiko kukopa kwa dongosololi. Mtengo uli pa mzere womwewo: zinatenga mabetcha a $120 kuti mufike pamenepo, ndipo dola iliyonse yobetchedwa imanyamula phindu la kasinomasamuPhindu la kasinoGawo la ndalama zobetcha zilizonse limene kasino imasunga pa avareji: 2.70% mu roulette ya ku Ulaya.Werengani yonse →.
Chifukwa chiyani kubwerera ziwiri, osati imodzi?
Chifukwa kupambana kumodzi kumalipira ndendende kutaya kuwiri. Nambala iliyonse ndi chiwerengero cha iwiri yoyambirira, choncho kupambana pa ma unit 5 kumabweza 2 ndi 3 zotayika posachedwapa. Ganizirani makwerero: sitepe imodzi mmwamba pa kuluza kulikonse, masitepe awiri pansi pa kupambana kulikonse. Sitepe imene mwaimapo ndi ngongole yanu. Pa sitepe 5 muli pansi ma unit 7, pa sitepe 8 muli pansi 33, ndipo pobwerera pa sitepe yoyamba muli pa ziro ndendende. Phindu limabwera kokha kuchokera ku kupambana pa sitepe yoyamba, unit imodzi pa nthawi.
Ndi kupambana kuli pafupifupi kofanana ndi kuluza, masitepe awiri pa imodzi kumamveka ngati mgwirizano wabwino, ndipo nthawi zambiri makwererowo amabwereradi pansi. Vuto ndi lakuti masitepe amatalika pamene mukukwera. Kupambana khumi pa sitepe yoyamba kumapeza ma unit 10. Kuluza katatu pa masitepe 6, 7 ndi 8 kumawononga 8 + 13 + 21 = 42.
- p10 −$500
- p25 −$500
- pakati −$500
- p75 +$250
- p90 +$920
Kodi dongosolo la Fibonacci limagwira ntchito?
Ayi. Osati ngati njira yotulukira patsogolo. Kuwerengera ndi kofanana ndi kwa dongosolo lililonse: betcha lililonse limataya 1/37 ya ndalama zake zobetcha pa avareji, choncho mndandanda wonse umataya 1/37 ya zonse zobetchedwa. Kugwiritsa ntchito mndandanda wa Fibonacci mu roulette sikusintha zimenezo, chifukwa gudumu limalipira mwayi womwewo kaya chipindalamaChipiChizindikiro choimira ndalama yokhazikika, choikidwa pa dongosolo la mabetcha kuti mupange betcha. Chimatchedwanso: check.Werengani yonse → ndi chachikulu bwanji. Ndalama zobetcha za Fibonacci zimakwera pang’onopang’ono, choncho imabetcha zochuluka pa kuzungulira kulikonse kuposa kubetcha mofanananjiraKubetcha mofananaKubetcha ndalama zofanana pa kuzungulira kulikonse. Muyeso umene progression iliyonse imayerekezeredwa nawo.Werengani yonse →, ndipo kutayika koyembekezekamasamuKutayika koyembekezekaMtengo woyembekezeka kuchulukitsa ndi ndalama zonse zobetchedwa; kuchuluka kwapakati kwa ndalama zotayika mu gawo la masewera kapena nthawi inayake.Werengani yonse → kwake pa gawo la masewera ndi kwakukulu. MartingalenjiraMartingaleProgression yowirikiza betcha pambuyo poluza kulikonse. Onani gawo la Njira kuti mudziwe zimene imachita ndi zimene siimachita.Werengani yonse → imabetcha zochuluka kuposa, ndipo imataya zochuluka.
Kodi ndi yotetezeka kuposa Martingale?
Ndi yochedwa, zimene si chinthu chimodzi. Ndalama zobetcha za Fibonacci zimakula ndi pafupifupi 1.6× pa sitepe iliyonse m’malo mwa 2×, choncho malire a $500 amafikiridwa pambuyo pa kuluza pafupifupi kakhumi motsatizana kuchokera pa $10 poyambira osati kasanu ndi kamodzi. Zimenezo zimapangitsa kuphompho kukhala kosowa: kuluza kwa even-money kakhumi motsatizana ndi (19/37)¹⁰ ≈ 0.13%, poyerekeza ndi (19/37)⁶ ≈ 1.8% kwa kasanu ndi kamodzi. Koma kuphompho kulinso kwakuya, chifukwa zambiri zabetchedwa panjira yofikirako, ndipo kupambana kumodzi sikukubwezera.
Kodi manambalawa amachokera kuti?
Kuchokera ku chithunzithunzi cha akalulu. Leonardo wa ku Pisa, amene pambuyo pake anatchedwa Fibonacci, anachiika mu Liber Abaci yake ya 1202: yambani ndi awiri amodzi, lolani awiri aliwonse kubereka awiri atsopano mwezi uliwonse kuyambira mwezi wawo wachiwiri, ndipo werengani awiriawiriwo. Yankho limayenda 1, 2, 3, 5, 8, 13. Sanali woyamba kupeza lamuloli. Akatswiri a ku India a kayimbidwe ka ndakatulo anali atalilemba kale: Singh (1985) amalitsata kwa Virahanka, pakati pa 600 ndi 800, kenako kwa Gopala ndi Hemachandra.
Palibe mwa iwo amene ankaganiza za gudumu. Magwero ogwiritsidwa ntchito pano sanena kuti ndani anayamba kubetcha ndalama motsatira mndandandawu. Zimene amaonetsa ndi zakuti masamu ake ndi masamu a roulette sakumana konse: imodzi imanena mmene ndalama zobetcha zimakulira, inayo imanena zimene ndalama zobetcha zilizonse zimabweza.
Kodi zingati zimatayika pambuyo pa kuluza motsatizana?
Mfundo ziwiri zimapangitsa tebulo lomwe lili pamwambapa kukhala losavuta kulitsimikiza. Pambuyo pa kuluza n motsatizana zonse zotayika ndi nambala ya Fibonacci ya (n + 2) kuchotsa 1, zimene zimapereka 1, 2, 4, 7, 12, 20 ndi zina zotero, ndipo ndalama zobetcha zotsatira ndi nambala ya Fibonacci ya (n + 1). Bollman (2021) amatsimikiza zotsatira zomwezo mwa induction pa mndandanda woyambira 1, 2, 3, umene umasuntha nambala iliyonse malo amodzi. Pa malire a ma unit 500 kuchokera pa unit 1 poyambira, Martingale singathe kuika betcha lake la 10, ma unit 512. Fibonacci ingathe kuika lake la 14, ma unit 377, koma osati la 15, 610.
Kodi chimasintha chiyani pa dazeni kapena mzati?
Pa dazenibetchaDazeni1–12, 13–24 kapena 25–36, amalipira 2:1.Werengani yonse → kapena mzatibetchaMzatiManambala khumi ndi awiri mu mzati umodzi woimirira wa dongosolo la mabetcha, amalipira 2:1.Werengani yonse →, umene umalipira 2 ku 1, kubwerera sikofunikira. Kupambana pa ndalama zobetcha F kumalipira 2F, zimene nthawi zonse zimaposa zonse zotayika zisanachitike, choncho kupambana kulikonse kumatha mndandanda muli patsogolo. Mtengo wake ndi wakuti dazeni limapambana nthawi 12 zokha mwa 37, choncho kuluza motsatizana kwautali kumakhala kofala kwambiri: kuluza kwa dazeni kakhumi ndi kanayi motsatizana kumachitika pafupifupi kamodzi pa mayesero 242, poyerekeza ndi pafupifupi kamodzi pa 11,000 kwa zofiirabetchaZofiiraBetcha la even-money pa manambala 18 ofiira. Mu Chifalansa: rouge.Werengani yonse →.
Bwanji ngati muima pokhapokha mutapambana kawiri motsatizana?
Mtundu wina umasuntha sitepe imodzi patsogolo pambuyo pa kuzungulira kulikonse, kupambana kapena kuluza, ndipo umaima pokhapokha pambuyo pa kupambana kawiri motsatizana. Ndi kuluza n kusanachitike kupambana kuwiri, phindu ndi nambala ya Fibonacci ya (n + 1) kuphatikiza 1: laling’ono kupambana kukabwera msanga, lalikulu kukabwera mochedwa, ndipo limapambanidwa pa ndalama zobetcha zimene zakula mofananira. Kupambana kuwiri koyambirira nthawi zonse kumabwera pa ndalama zobetcha zochepa; kochedwa kungafune betcha lalikulu ndendende pa nthawi imene gawo la masewera lafika poipa kwambiri.
Choyerekezera · Fibonacci
Magawo a masewera 2,000 a mabetcha a even-money kuyambira ndi ndalama zosewerera $1,000.
Betcha loyambira $10 · malire a tebulo $500 · kuzungulira 100 pa gawo lililonse
Kangati kuluza kotsatizana kumabwera
Betcha la even-money pa gudumu la ziro imodzi limaluza kuzungulira 19 mwa 37. Mzere uliwonse ndi kuthekera kwakuti kuzungulira kotsatizana kwa chiwerengero china konse kuluze, ndi zimene wosewera Fibonacci, amene amapita sitepe imodzi mu ndondomeko akaluza kulikonse, wataya pofika nthawi imeneyo.
| kuluza motsatizana | kuthekera | pafupifupi 1 mwa | zotayika mpaka pano | betcha lotsatira |
|---|---|---|---|---|
| 1 | 51.4% | 2 | $1 | $1 |
| 2 | 26.4% | 4 | $2 | $2 |
| 3 | 13.5% | 7 | $4 | $3 |
| 4 | 7.0% | 14 | $7 | $5 |
| 5 | 3.6% | 28 | $12 | $8 |
| 6 | 1.8% | 55 | $20 | $13 |
| 7 | 0.94% | 106 | $33 | $21 |
| 8 | 0.48% | 207 | $54 | $34 |
| 9 | 0.25% | 403 | $88 | $55 |
| 10 | 0.13% | 784 | $143 | $89 |
| 11 | 0.065% | 1527 | $232 | $144 |
| 12 | 0.034% | 2974 | $376 | $233 |
| 13 | 0.017% | 5792 | $609 | $377 |
| 14 | 0.0089% | 11279 | $986 | $610 |
| 15 | 0.0046% | 21965 | $1,596 | $987 |
Kuthekera ndi 19/37 kuchulukitsidwa ndi kokha kamodzi pa kuluza kulikonse, kuwerengedwa kuchokera pa kuzungulira kumodzi kodziwika. Gawo lalitali la masewera lili ndi kuzungulira kwambiri kumene kuluza kotere kungayambire, choncho m’madzulo amodzi n’kotheka kwambiri kuposa zimene mzere umodzi ukusonyeza.
Mafunso
Inde: patsogolo pambuyo pa kupambana, kumbuyo pambuyo pa kuluza. Imachita ngati ParolinjiraParoliProgression yabwino: wirikizani mutapambana, bwererani poyambira mutaluza kapena mutapambana katatu motsatizana. Imatchedwanso: reverse Martingale.Werengani yonse → yochedwa.
Masamu Osangalatsa
Yesani nokha choyamba. Yankho lililonse labisika; litsegulireni mukakonzeka.
Seweretsani mtundu umene umasuntha sitepe imodzi m’ndandanda pambuyo pa kuzungulira kulikonse, kupambana kapena kuluza, ndipo umasiya pambuyo pa kupambana kawiri motsatizana: ndalama zobetcha 1, 1, 2, 3, 5, 8 ndi zina zotero. Zotsatira khumi ndi zinayi zoyamba ndi P L P L L L P L L L P L L P. Muli pati, ndipo betcha lotsatira ndi liti?
Onetsani yankho
Yankho M’mbuyo ndi ma unitndalamaUnitNdalama zobetcha zoyambira zimene dongosolo kapena wosewera amagwiritsa ntchito. Maprogression amafotokozedwa mu ma unit kuti agwire ntchito pa tebulo lililonse.Werengani yonse → 22. Betcha lotsatira ndi ma unit 610, ndipo kupambana kukanathetsa gawo la masewera muli patsogolo ndi 588.
Ndalama zobetcha ndi manambala khumi ndi anayi oyamba a FibonaccinjiraFibonacciProgression yotsatira ndandanda 1, 1, 2, 3, 5, 8, 13…: sitepe imodzi kutsogolo pambuyo poluza, masitepe awiri kumbuyo pambuyo popambana.Werengani yonse →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ndi 377. Onjezerani kupambana ndipo chotsani kuluza: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Zotsatira zomaliza zinali kupambana, choncho kupambana kumodzi kenanso kumathetsa. Ndalama zobetcha zotsatira ndi 610: kupambana kumasiya +588, kuluza kumasiya −632 ndi ndalama zobetcha zotsatira za 987.
Mtundu umenewu nthawi zonse umatha uli patsogolo, koma pano umafunika betcha la ma unit 610 kuti utero. Pansi pa malamulo anthawi zonse, masitepe awiri kubwerera pambuyo pa kupambana, zotsatira khumi ndi zinayi zomwezo zimakusiyani m’mbuyo ndi unit 1 yokha ndi betcha lotsatira la 2. Bollman (2021), amene amayamba ndandanda pa 1, 2, 3, amapeza m’mbuyo ndi 1 ndi betcha lotsatira la 3. Malamulo anthawi zonse amataya pang’ono pano chifukwa kupambana kulikonse kumatsitsa ndalama zobetcha.
kuzungulirandalama zobetchazotsatirachiwerengero mpaka pano11P+121L032P+243L−155L−668L−14713P−1821L−22934L−561055L−1111189P−2212144L−16613233L−39914377P−22M’mtundu womwewo, chifukwa chiyani kuluza n kotsatiridwa ndi kupambana kawiri nthawi zonse kumasiya phindu la nambala ya Fibonacci ya (n + 1) kuphatikiza 1?
Onetsani yankho
Yankho Kuluza n pamodzi ndi nambala ya Fibonacci ya (n + 2) kuchotsa 1, ndipo kupambana kawiri ndi manambala awiri otsatira, amene pamodzi amaposa zimenezo ndi nambala ya (n + 1) kuphatikiza 1.
Lembani F₁, F₂, F₃ … m’malo mwa 1, 1, 2, 3, 5 … Nambala iliyonse ndi chiwerengero cha ziwiri zisanachitike.
Kuluza: F₁ + F₂ + … + Fₙ. Onjezerani 1 pa chiwerengerocho, cholembedwa ngati F₂, ndipo chimachepa: F₂ + F₁ = F₃, kenako F₃ + F₂ = F₄, ndi zina zotero, mpaka chiwerengero chonse chikhala Fₙ₊₂. Choncho kuluza konse ndi Fₙ₊₂ − 1.
Kupambana ndi ndalama zobetcha ziwiri zotsatira, Fₙ₊₁ ndi Fₙ₊₂. Phindu: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Ndi kuluza kanayi, zimenezo ndi F₅ + 1 = ma unit 6.
Nthabwala yopumitsa
Chiyerekezo cha golide chikumana ndi chikwangwani cha betcha lalikulu kwambiri.
Magwero
- RouletteDoc. Strategy description and examples.
- Roulette77. Strategy description and examples.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.
- Bollman, M. Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette.
- Sigler, L. E. Fibonacci’s Liber Abaci: A Translation into Modern English of Leonardo Pisano’s Book of Calculation.
- Singh, P. The so-called Fibonacci numbers in ancient and medieval India.