Juye-juyen roulette masu zaman kansu
Kowane juyi sabon farawa ne.

Sakamakon juyi ɗaya ba shi da wani tasiri a kan na gaba. Kowane lissafi a wannan shafin yanar gizo ya dogara ne a kan wannan gaskiya.
Abin da rashin dogaro da juna ke nufi
p(jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → a juyi na 2 | ja a juyi na 1) = p(ja) = 18/37. Yin la'akari da tarihi ba ya canza komai. Lambobi masu zafitatsuniyaLamba mai zafiLambar da ta fito fiye da yadda ake tsammani a kwanan nan. A dabaran da ke da adalci ba ta hasashen komai.Karanta gaba ɗaya →, lambobi masu sanyitatsuniyaLamba mai sanyiLambar da ba ta fito ba a juye-juye da yawa. Ba ta ɗauke da wani bayani game da juye-juye masu zuwa a dabaran da ke da adalci.Karanta gaba ɗaya → da launukan da “lokacinsu ya yi” bayanai ne game da abin da ya wuce, ba hasashe ba, kuma kowannensu ya dogara ne a kan iƙirarin ƙarya cewa juye-juyen roulette suna dogara da juna. A ƙa'idance, yiwuwarlissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya → haɗin gwiwa ta kowane jerin sakamako ita ce sakamakon ninka yiwuwar kowane juyi, kuma wannan ne kawai dalilin da ya sa ƙa'idar ninkawa a shafin yiwuwa ta halatta.
Me ya sa “juye-juyen roulette suna dogara da juna” ƙarya ne a zahiri
Ana harba ƙwallokayan aikiƘwalloƘaramin ƙwallon da ake jefawa a hanyarsa a akasin juyawar rotor. Ƙwallayen zamani na ivorine ko Teflon ne, 18–21 mm.Karanta gaba ɗaya → da hannu a gudun da ke bambanta da ɗaya bisa goma na mita a cikin daƙiƙa; yana zagaya hanyar da gogayyarta ke bambanta da ƙura da danshi; yana bugun ɗaya daga cikin deflectorkayan aikiMai karkatarwa (deflector)Ɗaya daga cikin shingayen ƙarfe da ke kan apron waɗanda ke warwatsa ƙwallon da ke faɗuwa. Ana kuma kiransa: canoe, diamond, pin.Karanta gaba ɗaya → takwas a kusurwar da duk waɗannan suka ƙayyade; yana tsalle a kan fretkayan aikiFretRabe-raben ƙarfe da ke tsakanin ramuka biyu a kan dabaran.Karanta gaba ɗaya → waɗanda tasirinsu a kan ƙwallo mai gudun 1 m/s yake mai rikitarwa (chaotic) a ma'anar kimiyya. Babu wani abu game da sakamakon da ya gabata da ke tsira zuwa cikin ɗaya daga cikin waɗannan abubuwa. Rotorkayan aikiRotorƁangaren dabaran da ke juyawa wanda ke ɗauke da ramuka.Karanta gaba ɗaya → kuwa rotor ɗaya ne, kuma wannan ne kawai wurin da dogaro zai iya ɓoyewa, kuma wannan shi ne tambayar karkatar dabaran.
Abin da ke biyo baya
Kowane tsarin caca aikin lissafi (function) ne na sakamakon da ya wuce. Idan sakamakon da ya wuce ba ya ɗauke da wani bayani game da juyi na gaba, babu irin wannan aikin lissafi da zai iya inganta ƙimar da ake tsammanilissafiƘimar da ake tsammaniMatsakaicin sakamako a kowace caca a cikin dogon lokaci. −1/37 na kuɗin caca a kowace cacar Turai ta yau da kullum.Karanta gaba ɗaya → ta caca ta gaba. Wannan ita ce sigar lissafi ta hujja a kan tsare-tsaren caca, kuma shi ya sa za a iya rubuta shafukan dabaru tun kafin a ƙirƙiri tsare-tsaren da ba a ƙirƙira ba tukuna: hujjar ba ta dogara da ƙa'idar ba.
Lokacin da zai gaza
Sai idan dabaran ya karkata a zahiri ko kuma ana iya hasashen yadda croupier ke sakin ƙwallo. Waɗannan batutuwan Ɗakin gwajin roulette ne. Ko a can ma, dogaro yana kan ilimin kimiyyar lissafi ne, ba kan sakamakon da ya gabata ba: ramikayan aikiRamiƊaya daga cikin ɗakuna 37 masu lamba a kan rotor. Ana kuma kiransa: slot, cup.Karanta gaba ɗaya → da ya karkata ya fi yiwuwa a kowane juyi, ba wai ya fi yiwuwa bayan ya kasance “mai sanyi” ba. Bayanai daga juye-juyen da suka gabata za su zama shaida game da dabaran, wanda abu ne daban da wani tsari a cikin sakamako.
Rashin dogaro da juna zato ne
Ana ba da damar ninka yiwuwa ne kawai idan abubuwan ba su dogara da juna ba, kuma dabaran roulette yana samun wannan hakki ta hanyar ilimin kimiyyar lissafi. A wasu wurare dole ne a duba shi. A 1999, an yanke wa Sally Clark, wata lauya ʼyar Ingila, hukuncin kisan ʼyaʼyanta maza biyu jarirai. Wani likitan yara ya gaya wa alƙalan cewa yiwuwar mutuwar jarirai biyu farat ɗaya a cikin barci (crib death) a iyali irin nata 1 cikin miliyan 73 ne, adadin da ya samu ta hanyar ninka 1 cikin 8,543, yiwuwar mutuwa ɗaya, da kansa. Ninka adadi da kansa yana ɗaukar mutuwa biyun kamar juye-juye biyu na dabaran. Amma ʼyan'uwa suna da ƙwayoyin halitta da gida iri ɗaya, don haka bayan mutuwar jariri ɗaya farat ɗaya a cikin barci, ta biyu ta fi yiwuwa ƙwarai fiye da ta farko. Royal Statistical Society ta faɗi haka a bainar jama'a a 2001, kuma an soke hukuncin Clark a ɗaukaka ƙara ta biyu a 2003, bayan da shaidar likita da ba a bayyana ba ta fito fili. Hunacek (2025) yana amfani da wannan shari'a don koyar da ƙa'idar da wannan shafi ya dogara da ita: ku ninka abin da bai dogara da juna ba kawai.
Rashin dogaro da juna da teburan RNG
Teburan software suna zaro kowane sakamako daga na'urar samar da lambobi na kwatsam da aka tabbatar, wadda aka gwada don wannan siffa daidai: rashin dogaro a jere cikin miliyoyin zane. Dabaran mai motsi ado ne kawai. Teburin RNG da ya nuna dogaro zai faɗi a gwajin tabbatarwa, wanda gwaji ne mafi tsauri fiye da duk wanda ɗan wasa zai iya yi.
Tambayoyi
Ba zuwa wani rami ba. Wataƙila, tare da daidaito mai girma, zuwa wani sectordabaranSasheRamuka da ke bin juna a jere a kan dabaran kamar baka, sabanin ƙungiyar lambobi a kan teburin caca.Karanta gaba ɗaya → fiye da yadda kwatsam zai yi; ku duba dealer signature a Ɗakin gwajin roulette. Situdiyo suna bambanta yadda ake sakin ƙwallo don hana hakan.
Don nazarin karkata cikin dubban juye-juye, a ƙa'ida. Ga juyi na gaba, a'a.
Nishaɗi da lissafi
Ku fara gwada waɗannan da kanku. Kowace mafita a naɗe take; ku buɗe ta idan kun shirya.
Cacar da aka sa kafin juye-juye biyu tana biyan kuɗi daidai da kuɗin caca idan lamba ta biyu ta fi ta farko girma. Idan aka yi canjaras, cacar ta rasa, kuma 0 yana ƙirguwa a matsayin lamba mafi ƙanƙanta. Mene ne farashinta a dabaran roulette na Turai?
Nuna mafita
Amsa Daidai 2.70%, daidai da jacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya →.
Juye-juyen biyu ba su dogara da juna ba, don haka yiwuwar lamba ta biyu ta fi ta farko girma daidai take da yiwuwar ta yi ƙasa da ita. Sauran yanayi kawai shi ne canjaras, lamba iri ɗaya sau biyu, da yiwuwalissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya → 1/37.
Don haka cacar tana nasara da yiwuwa (1 − 1/37)/2 = 18/37, daidai damar ja, kuma farashinta 2.70% iri ɗaya ne.
Idan za ku iya sa ta bayan kun ga lamba ta farko, zai zama kyauta: bayan 0 tana nasara sau 36 cikin 37. Shi ya sa dole a rufe caca irin wannan kafin juyi na farko.
Ɗan barkwanci

Kowane juyi sabon farawa ne. Kowane lissafi a nan ya dogara da hakan.
Majiyoyi
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Small, M. & Tse, C. K. “Predicting the outcome of roulette.”
- Hunacek, M. Quantitative Literacy Through Games and Gambling.
- Royal Statistical Society. “Statement regarding statistical issues in the Sally Clark case.”