Qhinga ra Fibonacci eka Roulette
Eka qhinga ra Fibonacci eka roulette, mali ya xibejo yi landza 1, 1, 2, 3, 5, 8, 13… Ya emahlweni hi goza rin'we endzhaku ka ku lahlekeriwa, tlhelela endzhaku hi magoza mambirhi endzhaku ka ku hlula.
A ri hluli vhilwa; a ku na pulani ya mali ya xibejo leyi swi kotaka. Ri olova ku tlula Martingale, hikwalaho ri tiyisela ku lahlekeriwa ko leha ri nga si fika eka ndzilakano, naswona ri vuyela hi ku nonoka. Ku lahlekeriwa loku languteriweke i 2.70% leyi fanaka ya mali hinkwayo leyi bhejiwekemaliMali hinkwayo leyi bhejiwekeMali hinkwayo leyi bhejiweke eka sesheni kumbe nkarhi wo karhi, ku katsa na mali leyi hluriweke leyi tlhela yi bhejiwa. Nakambe: handle, action.Hlaya hinkwaswo →.
Ndlela leyi nxaxamelo wu akiwaka ha yona
Nomboro yin'wana na yin'wana i nhlayo ya timbirhi leti nga emahlweni ka yona.
Hikwalaho endzhaku ka 8 na 13 ku ta 21.
Dirowa nomboro yin'wana ni yin'wana tanihi xikwere, swikwere swi ta nghenelelana: xin'wana ni xin'wana lexintshwa xi leha ku fana na swimbirhi swa le mahlweni ka xona loko swi vekiwa tlhelo hi tlhelo. Kotara ya xirhendzevutana eka xikwere xin'wana ni xin'wana yi hlangana yi endla ndlela yo rhendzeleka.
Famba eka nxaxamelo
Ku lahlekeriwa ku ya goza rin'we exineneni. Ku hlula ku tlhelela endzhaku hi magoza mambirhi.
Mali ya swibejo na mimbuyelo swi le ka tiyuniti ta xibejo xa le hansi.
Xana sisiteme ya Fibonacci eka roulette yi tirha njhani?
Tsala tinomboro ta FibonacciqhingaFibonacciNtlhandlamano wa swibejo lowu landzelaka nxaxamelo 1, 1, 2, 3, 5, 8, 13…: goza rin'we emahlweni endzhaku ko lahlekeriwa, magoza mambirhi endzhaku endzhaku ko hlula.Hlaya hinkwaswo →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Yin'wana na yin'wana i nhlanganelo wa letimbirhi leti yi rhangelaka. Sungula eka yo sungula kutani u bheja tiyunitimaliYunitiMali ya xibejo ya xisekelo leyi sisiteme kumbe mutlangi a tirhaka ha yona. Ntlhandlamano wa swibejo wu hlamuseriwa hi tiyuniti leswaku wu tirha eka tafula rin'wana na rin'wana.Hlaya hinkwaswo → to ringana sweswo. Loko u lahlekeriwa, u ya goza rin'we exineneni. Loko u hlula, u ya magoza mambirhi exiximatsini, kumbe u tlhelela eku sunguleni loko ku nga ri na ndhawu. Hi yona sisiteme hinkwayo. Thebulu yi kombisa leswi goza rin'wana na rin'wana ri swi durhaka: ku lahlekeriwa hi ku landzelelana loku yimisiwaka hi ndzilakano wa tafulatafulaNdzilakano wa tafulaXibejo xa le hansi na xa le henhla lexi pfumeleriweke. Ndzilakano wa le henhla hi wona lowu yimisaka ntlhandlamano wa ku phindha kambirhi.Hlaya hinkwaswo → kumbe hi mali ya wena ya ku tlangamaliMali ya ku tlangaMali hinkwayo leyi hlayiseriweke ku tlanga. Ku lawula mali ya ku tlanga i ku boha leswaku u ta yi veka engozini ku fika kwihi hi xibejo na hi sesheni.Hlaya hinkwaswo → ku lahlekeriwa nhlanganelo wa hinkwaswo leswi bhejiweke ku fikela sweswi.
Xana sesheni yi languteka njhani?
Teka masungulo ya $10 na marhendzeleko ya nhungu: L L H L L L H H (L = ku lahlekeriwa, H = ku hlula). Mali ya swibejo i 10, 10, 20 (hlula, tlhelela endzhaku hi mambirhi, eka goza 1), 10, 10, 20, 30 (hlula, tlhelela endzhaku hi mambirhi, eka goza 2), 10 (hlula, tlhelela eku sunguleni). Leswi lahlekeke: 10 + 10 + 10 + 10 + 20 = 60. Leswi hluriweke: 20 + 30 + 10 = 60. Ku lahlekeriwa kantlhanu, ku hlula kanharhu, kutani u ringana. Hi kona ku koka ka sisiteme. Ntsengo wu le ka layini yoleyo: swi lave swibejo swa $120 ku fika kwalaho, naswona dolara yin'wana na yin'wana leyi bhejiweke yi rhwala vuyelo bya khasinotinhlayoVuyelo bya khasinoXiphemu xa mali ya xibejo xin'wana na xin'wana lexi khasino yi xi hlayisaka hi xiringaniso: 2.70% eka roulette ya le Yuropa.Hlaya hinkwaswo →.
Ha yini u tlhelela endzhaku hi mambirhi, ku nga ri hi rin'we?
Hikuva ku hlula kun'we ku hakela ku lahlekeriwa kumbirhi hi ku kongoma. Nomboro yin'wana na yin'wana i nhlanganelo wa letimbirhi leti yi rhangelaka, hikwalaho ku hlula eka tiyuniti ta 5 ku vuyisa 2 na 3 leti lahlekeke ku nga si va. Ehleketa hi switepisi: goza rin'we ehenhla eka ku lahlekeriwa kun'wana na kun'wana, magoza mambirhi ehansi eka ku hlula kun'wana na kun'wana. Goza leri u yimeke eka rona i xikweleti xa wena. Eka goza 5 u le hansi hi tiyuniti ta 7, eka goza 8 u le hansi hi 33, naswona loko u tlhelela eka goza ro sungula u ringana hi ku kongoma. Mpindzulo wu huma ntsena eka ku hlula eka goza ro sungula, yuniti yin'we hi nkarhi.
Loko ku hlula ku lava ku ringana na ku lahlekeriwa, magoza mambirhi hi rin'we swi twala swi ri xivumelwano lexinene, naswona nkarhi wo tala switepisi swi tlhela swi ku rhelelisa. Xiphiqo i leswaku magoza ma ya ma leha loko u khandziya. Ku hlula ka khume eka goza ro sungula ku nyika tiyuniti ta 10. Ku lahlekeriwa kanharhu eka magoza 6, 7 na 8 ku durha 8 + 13 + 21 = 42.
- p10 −$500
- p25 −$500
- xikarhi (median) −$500
- p75 +$250
- p90 +$920
Xana sisiteme ya Fibonacci ya tirha?
E-e. A yi tirhi tanihi ndlela ya ku hetisa u ri ehenhla. Xibalo xi fana na xa sisiteme yin'wana na yin'wana: xibejo xin'wana na xin'wana xi lahlekeriwa 1/37 wa mali ya xona hi xiringaniso, hikwalaho ntlhandlamano hinkwawo wu lahlekeriwa 1/37 wa mali hinkwayo leyi bhejiweke. Ku tirhisa ntlhandlamano wa Fibonacci eka roulette a swi swi cinci sweswo, hikuva vhilwa ri hakela mpimo lowu fanaka hambi chipimaliChipiXikombiso lexi yimelaka mali leyi vekiweke, lexi vekiwaka eka mepe wa tafula ku endla xibejo. Nakambe: check.Hlaya hinkwaswo → yi kula ku fika kwihi. Mali ya xibejo ya Fibonacci yi ya yi tlakuka, hikwalaho yi bheja ngopfu eka rhendzeleko ku tlula ku bheja hi mpimo wun'weqhingaKu bheja hi mpimo wun'weKu bheja mali yo ringana eka rhendzeleko rin'wana na rin'wana. Xisekelo lexi ntlhandlamano wun'wana na wun'wana wa swibejo wu pimanisiwaka na xona.Hlaya hinkwaswo →, naswona ku lahlekeriwa loku languteriweketinhlayoKu lahlekeriwa loku languteriwekeNtsengo lowu languteriweke wu andzisiwa hi mali hinkwayo leyi bhejiweke; mali ya xiringaniso leyi lahlekaka eka sesheni kumbe eka nkarhi wo karhi.Hlaya hinkwaswo → ka yona eka sesheni ku tlakukile. MartingaleqhingaMartingaleNtlhandlamano wa swibejo lowu phindhaka xibejo kambirhi endzhaku ka ku lahlekeriwa kun'wana na kun'wana. Languta xiyenge xa Maqhinga ku vona leswi wu swi endlaka na leswi wu nga swi endliki.Hlaya hinkwaswo → yi bheja ngopfu ku tlula, naswona yi lahlekeriwa ngopfu.
Xana yi sirhelelekile ku tlula Martingale?
Yi nonoka, leswi nga riki swona swin'we. Mali ya xibejo ya Fibonacci yi kula hi kwalomu ka 1.6× eka goza rin'wana na rin'wana ematshan'weni ya 2×, hikwalaho ndzilakano wa $500 wu fikeleriwa endzhaku ka ku lahlekeriwa ka kwalomu ka khume hi ku landzelelana ku suka eka masungulo ya $10, ku nga ri tsevu. Sweswo swi endla leswaku ku wa lokukulu ku nga tali: ku lahlekeriwa ka khume hi ku landzelelana eka swibejo swa mali yo ringana i (19/37)¹⁰ ≈ 0.13%, loko ku pimanisiwa na (19/37)⁶ ≈ 1.8% eka tsevu. Kambe ku wa loko na kona ku kulu ngopfu, hikuva ku bhejiwe swo tala endleleni, naswona ku hlula kun'we a ku ku tlheriseli.
Xana tinomboro ti huma kwihi?
Ti huma eka xiphiqo xa mivundla. Leonardo wa Pisa, loyi endzhaku a thyiweke vito ra Fibonacci, u xi vekile eka Liber Abaci ya yena ya 1202: sungula hi mpatswa wun'we, pfumelela mpatswa wun'wana na wun'wana ku veleka mpatswa lowuntshwa n'hweti yin'wana na yin'wana ku sukela eka n'hweti ya wona ya vumbirhi, kutani u hlaya mimpatswa. Nhlamulo yi famba hi 1, 2, 3, 5, 8, 13. A hi yena wo sungula ku kuma nawu lowu. Swidyondzi swa le Indiya swa swiphato swa vutlhokovetseri a swi wu tsarile khale: Singh (1985) u wu landzelerisa ku ya eka Virahanka, exikarhi ka 600 na 800, kutani eka Gopala na Hemachandra.
Ku hava na un'we wa vona loyi a a ehleketa hi vhilwa. Swihlovo leswi tirhisiweke laha a swi vuli leswaku i mani a sunguleke ku bheja mali hi ku landza ntlhandlamano lowu. Leswi swi swi kombisaka i leswaku tinhlayo ta wona na tinhlayo ta roulette a ti hlangani: tin'wana ti vula ndlela leyi mali ya xibejo yi kulaka ha yona, tin'wana ti vula leswi mali yin'wana na yin'wana ya xibejo yi swi vuyisaka.
Xana ku lahlekeriwa swo tala muni endzhaku ka ku lahlekeriwa hi ku landzelelana?
Mafomula mambirhi ma endla leswaku thebulu leyi nga laha henhla yi olova ku kambela. Endzhaku ka ku lahlekeriwa ka n hi ku landzelelana mali hinkwayo leyi lahlekeke i nomboro ya Fibonacci ya vu-(n + 2) ku susa 1, leswi nyikaka 1, 2, 4, 7, 12, 20 na swin'wana, naswona mali ya xibejo lexi landzelaka i nomboro ya Fibonacci ya vu-(n + 1). Bollman (2021) u kombisa mbuyelo lowu fanaka hi induction eka ntlhandlamano lowu sungulaka hi 1, 2, 3, leswi tsutsumisaka nomboro yin'wana na yin'wana hi ndhawu yin'we. Eka ndzilakano wa tiyuniti ta 500 ku suka eka masungulo ya yuniti ya 1, Martingale a yi koti ku veka xibejo xa yona xa vu-10, tiyuniti ta 512. Fibonacci yi nga veka xibejo xa yona xa vu-14, tiyuniti ta 377, kambe ku nga ri xa vu-15, 610.
Xana ku cinca yini eka dazini kumbe eka kholomu?
Eka dazinixibejoDazini1–12, 13–24 kumbe 25–36, yi hakela 2:1.Hlaya hinkwaswo → kumbe eka kholomuxibejoKholomuTinomboro ta khume-mbirhi eka kholomu yin'we leyi yimeke ya mepe wa tafula, yi hakela 2:1.Hlaya hinkwaswo →, leyi hakelaka 2 eka 1, ku tlhelela endzhaku a ku laveki. Ku hlula eka mali ya xibejo ya F ku hakela 2F, leswi minkarhi hinkwayo swi tlulaka hinkwaswo leswi lahlekeke ku nga si va, hikwalaho ku hlula kun'wana na kun'wana ku hetisa ntlhandlamano u ri ehenhla. Ntsengo i leswaku dazini yi hlula ntsena ka 12 eka 37, hikwalaho ku lahlekeriwa ko leha hi ku landzelelana ku tolovelekile swinene: ku lahlekeriwa ka khume na mune hi ku landzelelana eka dazini ku humelela kwalomu ka kan'we eka ku ringeta ka 242, loko ku pimanisiwa na kwalomu ka kan'we eka 11,000 eka yo tshukaxibejoYo tshukaXibejo xa mali yo ringana eka tinomboro ta 18 to tshuka. Hi Xifurwa: rouge.Hlaya hinkwaswo →.
Ku ta endleka yini loko u yima ntsena endzhaku ka ku hlula kambirhi hi ku landzelelana?
Nxaka wun'wana wu ya goza rin'we emahlweni endzhaku ka rhendzeleko rin'wana na rin'wana, hambi u hlula kumbe u lahlekeriwa, naswona wu yima ntsena endzhaku ka ku hlula kambirhi hi ku landzelelana. Loko ku ri na ku lahlekeriwa ka n ku nga si va ku hlula kumbirhi, mpindzulo i nomboro ya Fibonacci ya vu-(n + 1) ku engetela 1: wutsongo loko ku hlula ku ta khale, wukulunyana loko ku ta hi ku hlwela, naswona wu kumiwa eka mali ya swibejo leyi kuleke ku ringana na wona. Mpatswa wa ku hlula lowu taka khale minkarhi hinkwayo wu ta eka mali ya swibejo yo tsongo; lowu hlwelaka wu nga lava xibejo lexikulu hi nkarhi lowu sesheni yi bihaka swinene.
Simuleta · Fibonacci
Tisesheni ta 2,000 ta swibejo swa mali yo ringana, ku sukela eka mali ya ku tlanga ya $1,000.
Xibejo xa le hansi $10 · ndzilakano wa tafula $500 · marhendzeleko ya 100 eka sesheni
Ndzandzelelano wa ku lahlekeriwa wu ta kangani
Xibejo xa mali yo ringana eka vhilwa ra zero yin'we xi lahlekeriwa eka marhendzeleko ya 19 eka 37. Mula wun'wana ni wun'wana i nkoteko wa leswaku marhendzeleko yo karhi hinkwawo ma lahlekeriwa, na leswi mutlangi wa Fibonacci, loyi a yaka goza rin'we emahlweni eka nxaxamelo loko a lahlekeriwile, a lahlekeriweke swona hi nkarhi wolowo.
| ku lahlekeriwa hi ku landzelelana | nkoteko | kwalomu ka 1 eka | leswi lahlekeke sweswi | xibejo lexi landzelaka |
|---|---|---|---|---|
| 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 |
Nkoteko i 19/37 lowu andzisiwaka hi wona n'wexe kan'we eka ku lahlekeriwa kun'wana ni kun'wana, ku hlayiwa ku sukela eka rhendzeleko rin'we. Sesheni yo leha yi na marhendzeleko yo tala laha ndzandzelelano wo tano wu nga sungulaka kona, hikwalaho eka nimadyambu nkoteko wa wona wu kulu ngopfu ku tlula leswi mula wun'we wu swi kombaka.
Swivutiso
Ina: emahlweni endzhaku ka ku hlula, endzhaku endzhaku ka ku lahlekeriwa. Yi tikhoma ku fana na ParoliqhingaParoliNtlhandlamano wa ku hlula: phindha kambirhi endzhaku ko hlula, sungula nakambe endzhaku ko lahlekeriwa kumbe endzhaku ko hlula kanharhu hi ku landzelelana. Nakambe: Martingale leyi hundzulukeke.Hlaya hinkwaswo → leyi nonokaka.
Ku Tihungasa hi Tinhlayo
Ringeta leswi hi wexe ku sungula. Nhlamulo yin'wana na yin'wana yi pfariwile; yi pfula loko u lunghekile.
Tlanga nxaka lowu fambaka goda rin'we eka ntlhandlamano endzhaku ka rhendzeleko rin'wana na rin'wana, hambi u hlula kumbe u lahlekeriwa, naswona wu yima endzhaku ka ku hlula kumbirhi ku landzelana: mali ya xibejo i 1, 1, 2, 3, 5, 8 na swin'wana. Mimbuyelo yo sungula ya khume na mune i H L H L L L H L L L H L L H (H = ku hlula, L = ku lahlekeriwa). U yime kwihi, naswona xibejo lexi landzelaka i xihi?
Komba nhlamulo
Nhlamulo U lahlekeriwile hi tiyunitimaliYunitiMali ya xibejo ya xisekelo leyi sisiteme kumbe mutlangi a tirhaka ha yona. Ntlhandlamano wa swibejo wu hlamuseriwa hi tiyuniti leswaku wu tirha eka tafula rin'wana na rin'wana.Hlaya hinkwaswo → ta 22. Xibejo lexi landzelaka i tiyuniti ta 610, naswona ku hlula a ku ta hetisa sesheni u ri na mpindzulo wa 588.
Mali ya swibejo i tinomboro to sungula ta khume na mune ta FibonacciqhingaFibonacciNtlhandlamano wa swibejo lowu landzelaka nxaxamelo 1, 1, 2, 3, 5, 8, 13…: goza rin'we emahlweni endzhaku ko lahlekeriwa, magoza mambirhi endzhaku endzhaku ko hlula.Hlaya hinkwaswo →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 na 377. Hlanganisa ku hlula u susa ku lahlekeriwa: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Mbuyelo wo hetelela a ku ri ku hlula, hikwalaho ku hlula kun'we ku engetela ku yi hetisa. Mali ya xibejo lexi landzelaka i 610: ku hlula ku siya +588, ku lahlekeriwa ku siya −632 na mali ya xibejo lexi landzelaka ya 987.
Nxaka lowu wu tshama wu hela u ri na mpindzulo, kambe laha wu lava xibejo xa tiyuniti ta 610 ku endla tano. Hi milawu ya ntolovelo, magoda mambirhi ku tlhelela endzhaku endzhaku ka ku hlula, mimbuyelo leyi fanaka ya khume na mune yi ku siya u lahlekeriwile hi yuniti ya 1 ntsena, xibejo lexi landzelaka xi ri 2. Bollman (2021), loyi a sungulaka ntlhandlamano hi 1, 2, 3, u kuma ku lahlekeriwa ka 1 na xibejo lexi landzelaka xa 3. Milawu ya ntolovelo yi lahlekeriwa hi swintsongo laha hikuva ku hlula kun'wana na kun'wana ku tlherisela mali ya swibejo ehansi.
rhendzelekomali ya xibejombuyelonhlayo leyi hlanganisiweke11H+121L032H+243L−155L−668L−14713H−1821L−22934L−561055L−1111189H−2212144L−16613233L−39914377H−22Eka nxaka lowu fanaka, ha yini ku lahlekeriwa ka n loku landzeriwaka hi ku hlula kumbirhi ku tshama ku siya mpindzulo lowu ringanaka na nomboro ya Fibonacci ya vu-(n + 1) ku engeteriwa 1?
Komba nhlamulo
Nhlamulo Ku lahlekeriwa ka n ku hlangana ku va nomboro ya Fibonacci ya vu-(n + 2) ku susiwa 1, naswona ku hlula kumbirhi i tinomboro timbirhi leti landzelaka, leti loko ti hlanganisiwile ti tlulaka sweswo hi nomboro ya vu-(n + 1) ku engeteriwa 1.
Tsala F₁, F₂, F₃ … eka 1, 1, 2, 3, 5 … Nomboro yin'wana na yin'wana i nhlanganelo wa timbirhi leti nga emahlweni ka yona.
Ku lahlekeriwa: F₁ + F₂ + … + Fₙ. Engetela 1 eka nhlanganelo lowu, yi tsariwile tanihi F₂, kutani wu tsongahala: F₂ + F₁ = F₃, kutani F₃ + F₂ = F₄, na swin'wana, ku fikela loko nhlanganelo hinkwawo wu va Fₙ₊₂. Hikwalaho ku lahlekeriwa hinkwako i Fₙ₊₂ − 1.
Ku hlula i mali ya swibejo leswi landzelaka swimbirhi, Fₙ₊₁ na Fₙ₊₂. Mpindzulo: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Hi ku lahlekeriwa ka mune, sweswo i F₅ + 1 = 6 wa tiyuniti.
Ku hlekisa katsongo
Mpimo wa nsuku (golden ratio) wu hlangana na xikombiso xa xibejo xa le henhla.
Swihlovo
- RouletteDoc. Nhlamuselo ya qhinga na swikombiso.
- Roulette77. Nhlamuselo ya qhinga na swikombiso.
- 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.