Misali: hawan Fibonacci
Kuɗin caca na 1, 1, 2, 3, 5, 8, 13 a kan baƙicacaBaƙiCacar ɗaya zuwa ɗaya (even-money) a kan lambobi baƙi 18. A Faransanci: noir.Karanta gaba ɗaya →, ana komawa baya mataki biyu bayan nasara. Martingale mai jinkiri, da yadda faɗuwarsa take zuwa.

Zaman wasa na kwaikwayo na Fibonacci mai juye-juye 90, $5 a kowace raka'a. Zagaye ashirin sun ƙare da $5 kowanne, mummunan jeri ɗaya kuma ya kai lamba ta tara (kuɗin caca $170) wanda ya bar zaman wasan a asarar $340. Ya fi ninkawa taushi har sai lokacin da ba haka ba.
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.
Shirin
A sa kuɗin caca daidai da lambar 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 → ta farko, $5. Bayan asara, a matsa mataki ɗaya zuwa dama a cikin jerin. Bayan nasara, a matsa mataki biyu zuwa hagu. Zagaye yana ƙarewa idan mun koma farko kuma muna da ribar 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 → ɗaya. Idan aka kwatanta da 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 →, kuɗin caca yana ƙaruwa da ×1.6 maimakon ×2, don haka faɗuwar tana nesa kuma komawa sama yana da jinkiri: nasara ba ta ƙare zagayen, tana mayar da shi baya ne kawai.
Juye-juye 1–40
Zagaye goma sha ɗaya sun ƙare, mafi tsawo ya kai lamba ta biyar ($25). Kowane zagaye da ya ƙare yana ba da $5 tsaf daidai; lissafin yana da daɗi kuma kuɗin caca sun kasance ƙanana. Sakamakon tsaf +$55. Yana ji kamar Martingale da aka cire masa firgici.
Juye-juye 41–70
Ƙarin zagaye biyar sun ƙare zuwa juyi na 60 (+$25). Sannan zagayen da bai ƙare ba. A A A A A A A N A A: kuɗin caca 5, 5, 10, 15, 25, 40, 65 (asara bakwai, −$165), nasara a $105 (+$105, komawa baya mataki biyu zuwa $40), sannan asara biyu a $40 da $65. Yanzu muna a lamba ta takwas, $105, da −$165 a cikin zagayen, kuma asara ta gaba za ta kai mu $170 a gaban 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 → ta $200. Sakamakon tsaf a wannan ɓangare −$140.
- p10 −$500
- p25 −$500
- tsakiya −$500
- p75 +$390
- p90 +$480
Juye-juye 71–90
A A: an rasa $105 sannan $170, kuma zagayen yana a −$440. Kuɗin caca na gaba zai zama $275, sama da iyaka, don haka a juyi na 72 muka bar zagayen muka sake farawa da $5. Wannan ita ce faɗuwar. Juye-juye goma sha takwas da suka rage sun ƙare ƙarin zagaye huɗu. Ƙarshe −$340; mafi ƙarancin jarin cacakuɗiJarin 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 → shi ne −$360.

Lissafin kuɗi
Jimillar caca kusan $1,200 idan aka kwatanta da $450 da caca daidai-wa-daida. 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 kan $1,200 ita ce $32; ainihin −$340 yana kusan standard deviationlissafiStandard deviationTushen murabba'i na bambancin sakamako; nisan da sakamako ke yawan yi daga ƙimar da ake tsammani.Karanta gaba ɗaya → ɗaya da rabi ƙasa da haka, mummunan zaman wasa ne, kuma irin zaman wasan da Fibonacci yake kawowa kusan sau ɗaya cikin biyar a wannan tsawo. Zagayen da suka ƙare sun biya $5 kowanne; mummunan zagayen ya ci tamanin da takwas daga cikinsu.
Abin da zaman wasan ya nuna
Fibonacci yana shimfiɗa faɗuwar Martingale a cikin juye-juye da dama kuma yana tura ta nesa, wanda ke sa shi ya fi aminci kuma ya fi yaudara: jerin kuɗin caca yana kama da mai hankali har zuwa wanda ba haka ba. Asarar da ake tsammani a kowace dala ba ta canza ba; ƙarin 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 → daga hawan nan ne inda kuɗin suke tafiya.
Tambayoyi
Domin nasara a lamba ta n tana dawo da asarorin lamba ta n−1 da n−2, waɗanda jimillarsu ta yi daidai da ita. An gina jerin ne don wannan doka.
Kuɗin caca mafi girma ya fi ƙanƙanta a yawan asarori iri ɗaya, don haka eh, ta fuskar faɗuwa da ke zuwa daga baya. Abin da ake tsammani iri ɗaya ne.
Ta goma sha biyu a raka'a ta $5: 5, 5, 10, 15, 25, 40, 65, 105, 170, 275, 445, sannan 720.
Ɗan barkwanci

Rabon zinariya 1.618 ne. Fifikon gidan caca har yanzu 2.70% ne.
Majiyoyi
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.