Dabarar Fibonacci a roulette
A dabarar roulette ta Fibonacci, kuɗin caca yana bin 1, 1, 2, 3, 5, 8, 13… Ana ci gaba mataki ɗaya bayan asara, ana komawa baya mataki biyu bayan nasara.
Ba ta doke dabaran roulette ba; babu tsarin saka kuɗi da ke yin haka. Ta fi Martingale sauƙi, don haka tana jure dogayen jerin asara kafin ta kai iyakar teburi, kuma tana farfaɗowa a hankali fiye da shi. Asarar da ake tsammani ita ce 2.70% iri ɗaya na jimillar cacakuɗiJimillar cacaJimillar kuɗin da aka yi caca da su a cikin zaman wasa ko wani lokaci, har da kuɗin da aka ci aka sake sawa. Ana kuma kiranta: handle, action.Karanta gaba ɗaya →.
Yadda ake gina jerin
Kowace lamba jimillar lambobi biyu ne da ke gabanta.
Don haka bayan 8 da 13 sai 21.
Ku zana kowace lamba a matsayin murabba'i, murabba'an kuma za su haɗu daidai: kowane sabo tsawonsa daidai yake da na biyun da ke gabansa idan aka jera su gefe da gefe. Rubu'in da'ira a cikin kowane murabba'i yana haɗuwa ya zama karkace.
Ku bi jerin mataki-mataki
Asara tana matsawa mataki ɗaya zuwa dama. Nasara tana komawa baya mataki biyu.
Kuɗin caca da sakamako suna cikin raka'o'in cacar tushe.
Yaya tsarin roulette na Fibonacci ke aiki?
Ku rubuta lambobin FibonaccidabaraFibonacciJerin ƙarin caca da ke bin jerin lambobi 1, 1, 2, 3, 5, 8, 13…: mataki ɗaya gaba bayan asara, matakai biyu baya bayan nasara.Karanta gaba ɗaya →: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144. Kowace ɗaya jimillar biyun da ke gabanta ce. Ku fara daga ta farko kuma ku saka raka'o'ikuɗiRaka'aKuɗin caca na tushe da tsari ko ɗan wasa ke aiki da shi. Ana bayyana jerin ƙarin caca a raka'a don su yi aiki a kowane tebur.Karanta gaba ɗaya → daidai da ita. Idan kun yi asara, ku matsa mataki ɗaya zuwa dama. Idan kun ci, ku matsa mataki biyu zuwa hagu, ko ku koma farko idan babu wuri. Wannan shi ne duka tsarin. Teburin yana nuna abin da kowane mataki ke ci: jerin asarori da iyakar teburiteburIyakar teburiMafi ƙanƙanta da mafi girman cacar da aka yarda da ita. Mafi girman ita ce ke dakatar da jerin ƙarin caca masu ninkawa.Karanta gaba ɗaya → ko jarin cacarkukuɗiJarin cacaJimillar kuɗin da aka ware don wasa. Sarrafa jarin caca shi ne yanke shawarar nawa za a sa a haɗari a kowace caca da kowane zaman wasa.Karanta gaba ɗaya → ya katse yana rasa jimillar duk abin da aka saka zuwa lokacin.
Yaya zaman wasa yake kasancewa?
Ku ɗauki farko $10 da juyi takwas: A A N A A A N N (A = asara, N = nasara). Kuɗin caca suna tafiya 10, 10, 20 (nasara, koma baya biyu, zuwa mataki na 1), 10, 10, 20, 30 (nasara, koma baya biyu, zuwa mataki na 2), 10 (nasara, koma farko). An rasa: 10 + 10 + 10 + 10 + 20 = 60. An ci: 20 + 30 + 10 = 60. Asarori biyar, nasarori uku, kuma kun dawo daidai. Wannan shi ne abin da ke jan hankali a tsarin. Farashin yana kan layi ɗaya: an buƙaci cace-cace na $120 don a kai can, kuma kowace dala da aka saka tana ɗauke da fifikon gidan cacalissafiFifikon gidan cacaKason kowane kuɗin caca da gidan caca ke riƙewa a matsakaici: 2.70% a roulette na Turai.Karanta gaba ɗaya →.
Me ya sa ake komawa baya biyu, ba ɗaya ba?
Domin nasara ɗaya tana biyan asarori biyu daidai. Kowace lamba jimillar biyun da ke gabanta ce, don haka nasara a raka'a 5 tana dawo da 2 da 3 da aka rasa kafin ta. Ku yi tunanin matakala: mataki ɗaya sama ga kowace asara, matakai biyu ƙasa ga kowace nasara. Matakin da kuke tsaye a kai shi ne bashinku. A mataki na 5 kun yi asarar raka'a 7, a mataki na 8 kun yi asarar 33, kuma idan kun koma mataki na farko kun dawo daidai, babu riba babu asara. Riba tana zuwa ne kawai daga nasarori a mataki na farko, raka'a ɗaya a lokaci guda.
Idan yawan nasarori ya kusa daidai da na asarori, matakai biyu a madadin ɗaya yana kama da ciniki mai kyau, kuma a mafi yawan lokaci matakalar tana dawowa ƙasa. Matsalar ita ce matakan suna ƙara tsayi yayin da ake hawa. Nasarori goma a mataki na farko suna kawo raka'a 10. Asarori uku a matakai na 6, 7 da 8 suna kashe 8 + 13 + 21 = 42.
- p10 −$500
- p25 −$500
- tsakiya −$500
- p75 +$250
- p90 +$920
Shin tsarin Fibonacci yana aiki?
A'a. Ba a matsayin hanyar fita da riba ba. Lissafin iri ɗaya ne da na kowane tsari: kowace caca tana rasa 1/37 na kuɗin cacarta a matsakaici, don haka duka jerin yana rasa 1/37 na duk abin da aka saka. Amfani da jerin Fibonacci a roulette ba ya canja haka, domin dabaran yana biya a ma'auni iri ɗaya ko da yaya girman tsabar cacakuɗiTsabar cacaAlamar da ke wakiltar ƙayyadadden adadin kuɗi, wadda ake ajiyewa a kan teburin caca don yin caca. Ana kuma kiranta: check.Karanta gaba ɗaya → yake. Kuɗin cacar Fibonacci yana ƙaruwa a hankali, don haka yana saka kuɗi mafi yawa a kowane juyi fiye da caca da kuɗi iri ɗayadabaraCaca daidai-wa-daidaYin caca da adadi ɗaya a kowane juyi. Ma'auni ne da ake kwatanta kowane jerin ƙarin caca da shi.Karanta gaba ɗaya →, kuma asarar da ake tsammanilissafiAsarar da ake tsammaniƘimar da ake tsammani sau jimillar kuɗin da aka yi caca da su; matsakaicin adadin da ake rasawa a cikin zaman wasa ko wani lokaci.Karanta gaba ɗaya → a kowane zaman wasa ta fi yawa. MartingaledabaraMartingaleJerin ƙarin caca da ke ninka caca bayan kowace asara. Ku duba sashen “Dabarun caca na roulette” don ganin abin da yake yi da wanda ba ya yi.Karanta gaba ɗaya → yana saka fiye da haka, kuma yana ƙara rasawa.
Shin ya fi Martingale aminci?
Ya fi jinkiri, kuma wannan ba abu ɗaya ba ne. Kuɗin cacar Fibonacci yana girma da kusan 1.6× a kowane mataki maimakon 2×, don haka ana kai iyakar $500 bayan kusan asarori goma a jere daga farko $10, ba shida ba. Hakan yana sa faɗuwar ta yi ƙaranci: asarori goma na cacar ɗaya zuwa ɗaya a jere (19/37)¹⁰ ≈ 0.13% ne, a kan (19/37)⁶ ≈ 1.8% na shida. Amma faɗuwar ma ta fi zurfi, domin an saka fiye a hanyar zuwa can, kuma nasara ɗaya ba ta gyara ta.
Daga ina lambobin suka fito?
Daga wani wasan ƙwaƙwalwa game da zomaye. Leonardo na Pisa, wanda daga baya aka yi masa laƙabi da Fibonacci, ya gabatar da shi a littafinsa Liber Abaci na 1202: a fara da ma'auratan zomaye ɗaya, kowane ma'aurata su haifi sababbin ma'aurata kowane wata tun daga watansu na biyu, sannan a ƙirga ma'auratan. Amsar tana tafiya 1, 2, 3, 5, 8, 13. Ba shi ne na farko da ya gano ƙa'idar ba. Malaman Indiya masu nazarin karin waƙa sun rubuta ta tun da farko: Singh (1985) ya bi diddiginta zuwa Virahanka, tsakanin 600 da 800, sannan zuwa Gopala da Hemachandra.
Babu ɗayansu da ke tunanin dabaran roulette. Majiyoyin da aka yi amfani da su a nan ba su faɗi wanda ya fara saka kuɗi bisa jerin ba. Abin da suke nunawa shi ne cewa lissafinsa da lissafin roulette ba sa haɗuwa: ɗaya yana faɗin yadda kuɗin caca ke girma, ɗayan kuma yana faɗin abin da kowace caca ke dawowa da shi.
Nawa ake rasawa bayan jerin asarori?
Daidaito biyu na lissafi suna sauƙaƙa duba teburin da ke sama. Bayan asarori n a jere, jimillar abin da aka rasa ita ce lambar Fibonacci ta (n + 2) a rage 1, wadda ke ba da 1, 2, 4, 7, 12, 20 da sauransu, kuma kuɗin caca na gaba shi ne lambar Fibonacci ta (n + 1). Bollman (2021) ya tabbatar da sakamako iri ɗaya ta hanyar induction ga jerin da ke farawa 1, 2, 3, wanda ke matsar da kowace lamba wuri ɗaya. A iyakar raka'a 500 daga farko raka'a 1, Martingale ba zai iya sa caca ta 10 ba, raka'a 512. Fibonacci zai iya sa ta 14, raka'a 377, amma ba ta 15 ba, 610.
Me ke canjawa a kan dozin ko ginshiƙi?
A kan dozincacaDozin1–12, 13–24 ko 25–36, biya 2:1.Karanta gaba ɗaya → ko ginshiƙicacaGinshiƙiLambobi goma sha biyu a cikin ginshiƙi ɗaya a tsaye na teburin caca, biya 2:1.Karanta gaba ɗaya →, wanda ke biyan 2 zuwa 1, ba a buƙatar komawa baya. Nasara a kuɗin caca F tana biyan 2F, wanda koyaushe ya fi duk abin da aka rasa kafin ta, don haka kowace nasara tana ƙare jerin da riba. Farashin shi ne dozin yana cin sau 12 ne kawai cikin 37, don haka dogayen jerin asara sun fi yawa sosai: asarori goma sha huɗu na dozin a jere suna faruwa kusan sau ɗaya cikin ƙoƙari 242, a kan kusan sau ɗaya cikin 11,000 na jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya →.
Me zai faru idan kun tsaya ne kawai bayan nasarori biyu a jere?
Wani nau'i yana matsawa mataki ɗaya gaba bayan kowane juyi, nasara ko asara, kuma yana tsayawa ne kawai bayan nasarori biyu a jere. Da asarori n kafin nasarorin biyu, ribar ita ce lambar Fibonacci ta (n + 1) a ƙara 1: ƙarama idan nasarorin sun zo da wuri, mafi girma idan sun zo a makare, kuma ana cin ta a kan kuɗin cacar da suka girma daidai da ita. Nasarori biyu da suka zo da wuri koyaushe suna zuwa a ƙananan kuɗin caca; waɗanda suka zo a makare na iya buƙatar babbar caca daidai a lokacin da zaman wasa ya fi lalacewa.
Simulator (na'urar kwaikwayo) · Fibonacci
Zaman wasa 2,000 na cacar ɗaya zuwa ɗaya daga jarin caca na $1,000.
Cacar tushe $10 · iyakar teburi $500 · juyi 100 a kowane zaman wasa
Sau nawa jerin asara ke zuwa
Cacar ɗaya zuwa ɗaya a kan dabaran mai sifili ɗaya tana yin asara a juyi 19 cikin 37. Kowane layi yana nuna yiwuwar cewa wasu juye-juye a jere duk za su yi asara, da abin da ɗan wasan Fibonacci, wanda ke matsawa mataki ɗaya a cikin jerin bayan kowace asara, ya rasa zuwa lokacin.
| asara a jere | yiwuwa | kusan 1 cikin | asara zuwa yanzu | caca ta gaba |
|---|---|---|---|---|
| 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 |
Yiwuwar ita ce 19/37 da aka ninka da kanta sau ɗaya a kowace asara, ana ƙirgawa daga juyi ɗaya ƙayyadadde. Zaman wasa mai tsawo yana da juye-juye da yawa inda irin wannan jeri zai iya farawa, don haka a cikin yamma guda ya fi yiwuwa nesa ba kusa ba fiye da yadda layi ɗaya ke nunawa.
Tambayoyi
Eh: gaba bayan nasara, baya bayan asara. Yana aiki kamar ParolidabaraParoliJerin ƙarin caca bayan nasara: a ninka bayan nasara, a koma farko bayan asara ko bayan nasarori uku a jere. Ana kuma kiransa: reverse Martingale.Karanta gaba ɗaya → mai jinkiri.
Nishaɗi da lissafi
Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.
Ku buga salon da yake matsa mataki ɗaya a jerin bayan kowane juyi, nasara ko asara, kuma yake tsayawa bayan nasarori biyu a jere: kuɗin caca 1, 1, 2, 3, 5, 8 da sauransu. Sakamako goma sha huɗu na farko su ne N A N A A A N A A A N A A N (N = nasara, A = asara). Ina kuke tsaye, kuma mece ce caca ta gaba?
Nuna mafita
Amsa Kun yi asarar raka'akuɗiRaka'aKuɗin caca na tushe da tsari ko ɗan wasa ke aiki da shi. Ana bayyana jerin ƙarin caca a raka'a don su yi aiki a kowane tebur.Karanta gaba ɗaya → 22. Caca ta gaba raka'a 610 ce, kuma nasara za ta ƙare zaman wasan da riba ta 588.
Kuɗin cacar su ne lambobin FibonaccidabaraFibonacciJerin ƙarin caca da ke bin jerin lambobi 1, 1, 2, 3, 5, 8, 13…: mataki ɗaya gaba bayan asara, matakai biyu baya bayan nasara.Karanta gaba ɗaya → goma sha huɗu na farko: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 da 377. Ku ƙara nasarorin, ku cire asarorin: +1 −1 +2 −3 −5 −8 +13 −21 −34 −55 +89 −144 −233 +377 = −22.
Sakamakon ƙarshe nasara ne, don haka ƙarin nasara ɗaya za ta ƙare shi. Kuɗin caca na gaba 610 ne: nasara tana barin +588, asara tana barin −632 da kuɗin caca na gaba na 987.
Wannan salon koyaushe yana ƙarewa da riba, amma a nan yana buƙatar cacar raka'a 610 don yin hakan. Da dokokin da aka saba, mataki biyu baya bayan nasara, sakamako goma sha huɗun nan suna barin ku da asarar raka'a 1 kawai tare da caca ta gaba ta 2. Bollman (2021), wanda yake fara jerin da 1, 2, 3, yana samun asarar 1 da caca ta gaba ta 3. Dokokin da aka saba suna yin asara ƙasa a nan domin kowace nasara tana janye kuɗin cacar ƙasa.
juyikuɗin cacasakamakojimilla zuwa yanzu11N+121A032N+243A−155A−668A−14713N−1821A−22934A−561055A−1111189N−2212144A−16613233A−39914377N−22A salon nan iri ɗaya, me ya sa asarori n da nasarori biyu suka biyo baya koyaushe suke barin riba ta lambar Fibonacci ta (n + 1) tare da ƙarin 1?
Nuna mafita
Amsa Asarorin n suna haɗuwa su zama lambar Fibonacci ta (n + 2) a cire 1, kuma nasarorin biyu su ne lambobi biyu na gaba, waɗanda tare suke wuce wancan da lamba ta (n + 1) tare da ƙarin 1.
Ku rubuta F₁, F₂, F₃ … don 1, 1, 2, 3, 5 … Kowace lamba jimillar biyun da ke gabanta ce.
Asarorin: F₁ + F₂ + … + Fₙ. Ku ƙara 1 a kan wannan jimilla, a rubuce a matsayin F₂, sai ta haɗe: F₂ + F₁ = F₃, sannan F₃ + F₂ = F₄, da sauransu, har sai jimillar gaba ɗaya ta zama Fₙ₊₂. Don haka jimillar asarorin ita ce Fₙ₊₂ − 1.
Nasarorin su ne kuɗin caca biyu na gaba, Fₙ₊₁ da Fₙ₊₂. Riba: Fₙ₊₁ + Fₙ₊₂ − (Fₙ₊₂ − 1) = Fₙ₊₁ + 1. Da asarori huɗu, wannan shi ne F₅ + 1 = raka'a 6.
Ɗan barkwanci
Rabo na zinariya ya haɗu da allon “caca mafi girma”.
Majiyoyi
- 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.