Nzira yeFibonacci paRoulette
Munzira yeFibonacci paRoulette, mari yakabhejwa inotevera 1, 1, 2, 3, 5, 8, 13… Endai mberi nhanho imwe mushure mekurasikirwa, dzokerai shure nhanho mbiri mushure mekukunda.
Haikundi vhiri; hapana hurongwa hwekubheja hunodaro. Yakapfava kupfuura Martingale, saka inotsungirira mitsara mirefu yekurasikirwa isati yasvika pamuganho, uye inodzoka zvishoma nezvishoma. Kurasikirwa kunotarisirwa ndiko 2.70% imwe chete yemari yose yakabhejwamariMari yose yakabhejwaMari yese yakabhejwa musesheni kana munguva yakati, kusanganisira mari yakakundwa yakabhejwazve. Mamwe mazita: handle, action.Verengai zvese →.
Kuvakwa kwenhevedzano
Nhamba yega yega ihuwandu hwedzimwe mbiri dziri pamberi payo.
Saka mushure me8 ne13 panouya 21.
Dhirowai nhamba yega yega sesikweya uye masikweya anokwana pamwe chete: imwe neimwe itsva yakareba sedzimwe mbiri dziri pamberi payo dzakaiswa parutivi nerutivi. Chikamu chimwe muzvina chedenderedzwa pasikweya yega yega chinobatana kuva spiral.
Fambai nenhevedzano
Kurasikirwa kunofambisa nhanho imwe kurudyi. Kukunda kunodzosera nhanho mbiri shure.
Mari dzakabhejwa nemhedzisiro zviri mumayuniti ebheti rekutanga.
Sisitimu yeFibonacci paRoulette inoshanda sei?
Nyorai nhamba dzeFibonaccinziraFibonacciProgression inotevera nhevedzo 1, 1, 2, 3, 5, 8, 13…: nhanho imwe kumberi mushure mekurasikirwa, nhanho mbiri kumashure mushure mekukunda.Verengai zvese →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Imwe neimwe ihuwandu hwembiri dziri pamberi payo. Tangai pakutanga mobheja mayunitimariYunitiMari yehwaro inoshandiswa nesisitimu kana nemutambi. Maprogression anotsanangurwa nemayuniti kuitira kuti ashande patafura ipi zvayo.Verengai zvese → akawanda zvakadaro. Mukarasikirwa, munoenda nhanho imwe kurudyi. Mukakunda, munoenda nhanho mbiri kuruboshwe, kana kudzokera pakutanga kana pasina nzvimbo. Iyoyo ndiyo sisitimu yose. Tafura inoratidza mutengo wenhanho imwe neimwe: mutsara wekurasikirwa unomiswa nemuganho wetafuratafuraMuganho wetafuraBheti diki nerikuru kupfuura ese anobvumirwa. Rikuru ndiro rinomisa maprogression ekupeta kaviri.Verengai zvese → kana nemari yekutambamariMari yekutambaMari yose yakachengeterwa kutamba. Kutonga mari yekutamba kuri kusarudza kuti mungaisa pangozi yakawanda sei pabheti rimwe nepasesheni imwe.Verengai zvese → yenyu unorasikirwa nehuwandu hwemari yose yakabhejwa kusvika ipapo.
Sesheni inoita sei?
Torai $10 pakutanga nekutenderera kusere: L L W L L L W W. Mari yakabhejwa inoenda 10, 10, 20 (kukunda, shure nhanho mbiri, kunhanho 1), 10, 10, 20, 30 (kukunda, shure nhanho mbiri, kunhanho 2), 10 (kukunda, kudzokera pakutanga). Zvakarasikirwa: 10 + 10 + 10 + 10 + 20 = 60. Zvakakundwa: 20 + 30 + 10 = 60. Kurasikirwa kashanu, kukunda katatu, uye makaenzana. Ndiko kukwezva kwesisitimu iyi. Mutengo uri pamutsara mumwe chete: zvakatora mabheti e$120 kusvika ipapo, uye dhora rimwe nerimwe rakabhejwa rine chikamu chekasinomasvomhuChikamu chekasinoChikamu chemari yega yega yakabhejwa chinochengetwa nekasino paavhareji: 2.70% muRoulette yeEurope.Verengai zvese →.
Sei kudzokera nhanho mbiri, kwete imwe?
Nekuti kukunda kumwe kunobhadhara kurasikirwa kuviri chaiko. Nhamba imwe neimwe ihuwandu hwembiri dziri pamberi payo, saka kukunda pamayuniti 5 kunodzosa 2 ne3 zvakarasikirwa pamberi pacho. Fungai nezvemasitepisi: nhanho imwe kukwira pakurasikirwa kwega kwega, nhanho mbiri kudzika pakukunda kwega kwega. Nhanho yamamire pairi ndicho chikwereti chenyu. Panhanho 5 muri pasi nemayuniti 7, panhanho 8 muri pasi ne33, uye mukadzokera panhanho yekutanga makaenzana chaizvo. Purofiti inouya chete kubva pakukunda panhanho yekutanga, yuniti imwe panguva.
Kukunda kunenge kwakawanda sekurasikirwa, nhanho mbiri pane imwe zvinonzwika sechibvumirano chakanaka, uye kazhinji masitepisi anonyatsodzokera pasi. Dambudziko nderekuti nhanho dzinowedzera kureba pamunokwira. Kukunda gumi panhanho yekutanga kunowana mayuniti 10. Kurasikirwa katatu panhanho 6, 7 ne8 kunodhura 8 + 13 + 21 = 42.
- p10 −$500
- p25 −$500
- median −$500
- p75 +$250
- p90 +$920
Sisitimu yeFibonacci inoshanda here?
Kwete. Kwete senzira yekupedza muri mberi. Kuverenga kwakafanana nekwesisitimu yega yega: bheti rimwe nerimwe rinorasikirwa 1/37 yemari yaro yakabhejwa paavhareji, saka mutsara wose unorasikirwa 1/37 yemari yose yakabhejwa. Kushandisa mutsara weFibonacci paRoulette hakuzvichinji, nekuti vhiri rinobhadhara mikana imwe chete zvisinei nehukuru hwechipimariChipiChiratidzo chinomiririra mari yakatarwa, chinoiswa patafura yekubhejera kuita bheti. Rimwe zita: check.Verengai zvese →. Mari yakabhejwa yeFibonacci inokwira zvishoma nezvishoma, saka inobheja mari yakawanda pakutenderera kupfuura kubheja kwakaenzananziraKubheja kwakaenzanaKubheja mari imwe chete pakutenderera kwega kwega. Chiyero chinoenzaniswa nacho progression yega yega.Verengai zvese →, uye kurasikirwa kunotarisirwamasvomhuKurasikirwa kunotarisirwaKukosha kunotarisirwa kwakapetwa nemari yose yakabhejwa; mari yepakati inorasika musesheni kana munguva yakati.Verengai zvese → kwayo pasesheni kwakakwira. MartingalenziraMartingaleProgression inopeta bheti kaviri mushure mekurasikirwa kwega kwega. Onai chikamu cheNzira kuti munzwisise zvainoita nezvaisingaite.Verengai zvese → inobheja zvakawanda kupfuura ipapo, uye inorasikirwa zvakawanda.
Yakachengeteka kupfuura Martingale here?
Inononoka, izvo zvisiri chinhu chimwe chete. Mari yakabhejwa yeFibonacci inokura nekanenge 1.6× panhanho pane 2×, saka muganho we$500 unosvikwa mushure mekurasikirwa kunenge gumi kwakateverana kubva pa$10 pakutanga pane katanhatu. Izvi zvinoita kuti mawere awanzoitika zvishoma: kurasikirwa gumi kwakateverana pamabheti emubhadharo wakaenzana i(19/37)¹⁰ ≈ 0.13%, kuenzaniswa ne(19/37)⁶ ≈ 1.8% kwekatanhatu. Asi mawere acho akakwirirawo, nekuti mari yakawanda yakabhejwa munzira yekusvika ipapo, uye kukunda kumwe chete hakuzvidzosi.
Nhamba dzacho dzinobva kupi?
Kubva padambudziko renhamba nezvetsuro. Leonardo wekuPisa, akazotumidzwa kuti Fibonacci, akariisa muLiber Abaci yake ya1202: tangai nevaviri vamwe, regai vaviri vega vega vabereke vaviri vatsva mwedzi wega wega kubva pamwedzi wavo wechipiri, moverenga vaviri. Mhinduro inoenda 1, 2, 3, 5, 8, 13. Iye akanga asiri wekutanga kuwana mutemo uyu. Nyanzvi dzekuIndia dzerwiyo rwenhetembo dzakanga dzatounyora kare: Singh (1985) anouteverera kuna Virahanka, pakati pa600 na800, uye mushure mezvo kuna Gopala naHemachandra.
Hapana kana mumwe wavo akanga achifunga nezvevhiri. Masosi anoshandiswa pano haatauri kuti ndiani akatanga kubheja mari achitevera mutsara uyu. Zvaanoratidza ndezvekuti svomhu yawo nesvomhu yeRoulette hazvimbosanganiki: imwe inotaura kuti mari yakabhejwa inokura sei, imwe inotaura zvinodzoswa nemari yega yega yakabhejwa.
Zvinorasikirwa zvakadii mushure memutsara wekurasikirwa?
Zvokwadi mbiri dzinoita kuti tafura iri pamusoro iri nyore kuongorora. Mushure mekurasikirwa n kwakateverana, zvose zvakarasikirwa inhamba yeFibonacci ye(n + 2) bvisa 1, zvinopa 1, 2, 4, 7, 12, 20 zvichingodaro, uye mari inotevera kubhejwa inhamba yeFibonacci ye(n + 1). Bollman (2021) anoratidza mhedzisiro imwe chete nekuinduction pamutsara unotanga 1, 2, 3, unosundira nhamba imwe neimwe nzvimbo imwe. Pamuganho wemayuniti 500 kubva payuniti 1 pakutanga, Martingale haigoni kuisa bheti rayo re10, mayuniti 512. Fibonacci inogona kuisa rayo re14, mayuniti 377, asi kwete re15, 610.
Chii chinochinja padozeni kana pakoramu?
PadozenibhetiDozeni1–12, 13–24 kana 25–36, rinobhadhara 2:1.Verengai zvese → kana pakoramubhetiKoramuNhamba gumi nembiri mukoramu imwe yakamira yetafura yekubhejera, rinobhadhara 2:1.Verengai zvese →, zvinobhadhara 2 kusvika ku1, kudzokera shure hakudiwi. Kukunda pamari yakabhejwa F kunobhadhara 2F, izvo zvinogara zvakawanda kupfuura zvose zvakarasikirwa pamberi pacho, saka kukunda kwega kwega kunopedza mutsara muri mberi. Mutengo wacho ndewekuti dozeni rinokunda ka12 chete pa37, saka mitsara mirefu yekurasikirwa inowanzoitika zvakanyanya: kurasikirwa gumi nekuna kwakateverana padozeni kunoitika kamwe chete pakuedza kunenge 242, kuenzaniswa nekamwe pakunenge 11,000 patsvukubhetiTsvukuBheti remubhadharo wakaenzana panhamba 18 tsvuku. ChiFrench: rouge.Verengai zvese →.
Ko kana mukamira chete mushure mekukunda kaviri kwakateverana?
Imwe mhando inoenda mberi nhanho imwe mushure mekutenderera kwega kwega, kukunda kana kurasikirwa, uye inomira chete mushure mekukunda kaviri kwakateverana. Nekurasikirwa n pamberi pekukunda kuviri, purofiti inhamba yeFibonacci ye(n + 1) wedzera 1: diki kana kukunda kukauya nokukurumidza, hombe kana kukauya kwanonoka, uye inowanikwa pamari yakabhejwa yakakura zvakaenzana. Kukunda kuviri kwekutanga kunogara kuchiuya pamari shoma yakabhejwa; kwanonoka kunogona kuda bheti hombe panguva chaiyo iyo sesheni yaipisisa.
Simulator · Fibonacci
Masesheni 2,000 emabheti emubhadharo wakaenzana kubva pamari yekutamba ye$1,000.
Bheti rekutanga $10 · muganho wetafura $500 · kutenderera 100 pasesheni
Mutsara wekurasikirwa unouya kangani
Bheti remubhadharo wakaenzana pavhiri rezero imwe rinorasikirwa kutenderera 19 pa37. Mutsara wega wega mukana wekuti kutenderera kwakatevedzana kwakapihwa kwese kurasikirwe, uye zvakarasikirwa nemutambi weFibonacci, anofamba nhanho imwe munhevedzano mushure mekurasikirwa kwega kwega, panguva iyoyo.
| kurasikirwa zvakatevedzana | mukana | kanenge 1 pa | zvarasika kusvika pari zvino | bheti rinotevera |
|---|---|---|---|---|
| 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 |
Mukana i19/37 wakawanzwa nawo pachawo kamwe pakurasikirwa kwega kwega, kuverengwa kubva pakutenderera kumwe kwakapihwa. Sesheni refu ine kutenderera kwakawanda panogona kutanga mutsara wakadai, saka mumanheru ose zvinogoneka zvikuru kupfuura zvinoratidzwa nemutsara mumwe.
Mibvunzo
Hongu: mberi mushure mekukunda, shure mushure mekurasikirwa. Inoita seParolinziraParoliProgression inokwira mushure mekukunda: petai kaviri mushure mekukunda, dzokerai pakutanga mushure mekurasikirwa kana mushure mekukunda katatu zvichitevedzana. Rimwe zita: reverse Martingale.Verengai zvese → inononoka.
Kutamba neMasvomhu
Edzai izvi imi pachenyu pekutanga. Mhinduro yega yega yakapetwa; ivhurei kana magadzirira.
Tambai shanduro inofamba nhanho imwe mumutsara mushure mekutenderera kwega kwega, kukunda kana kurasikirwa, uye inomira mushure mekukunda kuviri kwakateverana: mari dzakabhejwa 1, 1, 2, 3, 5, 8 zvichienda mberi. Mhedzisiro gumi nina yekutanga i K R K R R R K R R R K R R K. Mumirepi, uye bheti rinotevera nderei?
Ratidza mhinduro
Mhinduro Pasi nemayunitimariYunitiMari yehwaro inoshandiswa nesisitimu kana nemutambi. Maprogression anotsanangurwa nemayuniti kuitira kuti ashande patafura ipi zvayo.Verengai zvese → 22. Bheti rinotevera mayuniti 610, uye kukunda kwaizopedza sesheni iri pamusoro ne588.
Mari dzakabhejwa inhamba gumi nina dzekutanga dzeFibonaccinziraFibonacciProgression inotevera nhevedzo 1, 1, 2, 3, 5, 8, 13…: nhanho imwe kumberi mushure mekurasikirwa, nhanho mbiri kumashure mushure mekukunda.Verengai zvese →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 ne377. Wedzerai zvakakundwa mobvisa zvakarasikirwa: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Mhedzisiro yekupedzisira yaiva kukunda, saka kukunda kumwe chete kunoipedza. Mari inotevera yekubheja i610: kukunda kunosiya +588, kurasikirwa kunosiya −632 nemari inotevera yekubheja ye987.
Shanduro iyi inogara ichipera iri pamusoro, asi pano inoda bheti remayuniti 610 kuti izviite. Pasi pemitemo yakajairwa, nhanho mbiri kudzokera shure mushure mekukunda, mhedzisiro gumi nina imwe chete iyi inokusiyai muri pasi neyuniti 1 chete nebheti rinotevera re2. Bollman (2021), anotanga mutsara pa1, 2, 3, anowana 1 pasi nebheti rinotevera re3. Mitemo yakajairwa inorasikirwa zvishoma pano nekuti kukunda kwega kwega kunodzosa mari yekubheja pasi.
kutendereramari yakabhejwamhedzisirohuwandu huripo11K+121R032K+243R−155R−668R−14713K−1821R−22934R−561055R−1111189K−2212144R−16613233R−39914377K−22Mushanduro imwe chete iyi, nei kurasikirwa n kuchiteverwa nekukunda kuviri kuchigara kuchisiya purofiti yenhamba yeFibonacci ye(n + 1) pamwe ne1?
Ratidza mhinduro
Mhinduro Kurasikirwa n kunosvika nhamba yeFibonacci ye(n + 2) kubvisa 1, uye kukunda kuviri inhamba mbiri dzinotevera, dzinoipfuura pamwe chete nenhamba ye(n + 1) pamwe ne1.
Nyorai F₁, F₂, F₃ … pa1, 1, 2, 3, 5 … Nhamba yega yega isumu yedzimwe mbiri dziri pamberi payo.
Kurasikirwa: F₁ + F₂ + … + Fₙ. Wedzerai 1 pasumu iyoyo, yakanyorwa saF₂, uye inopfupika: F₂ + F₁ = F₃, wozoti F₃ + F₂ = F₄, zvichidaro, kusvikira sumu yose yava Fₙ₊₂. Saka kurasikirwa kwose kunosvika Fₙ₊₂ − 1.
Kukunda imari mbiri dzinotevera dzekubheja, Fₙ₊₁ naFₙ₊₂. Purofiti: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Nekurasikirwa kuna, ndiko F₅ + 1 = mayuniti 6.
Kuseka zvishoma
Golden ratio inosangana nechikwangwani chebheti guru rinobvumirwa.
Zvinyorwa
- RouletteDoc. Tsananguro yenzira nemienzaniso.
- Roulette77. Tsananguro yenzira nemienzaniso.
- 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.