Misali: maraice na $100 a kan ja
Dala ɗari, tsabobin caca na dala biyar, ja a kowane juyi, da dokar tsayawa. Juyi bayan juyi.

Maraice na kwaikwayo a tebur kai tsaye: har zuwa juye-juye 60 na $5 a kan ja daga kasafin kuɗi na $100, tare da iyakar asara ta $50 da iyakar riba ta $50. Iyakar asara ta ƙare shi a juyi na 36. Zaman wasan ya nuna yadda bambancin sakamako yake kasancewa a zahiri da kuma dalilin da ya sa dokar tsayawa ita ce kawai shawarar da ta yi muhimmanci.
Shirin
Akwai dabarar roulette mafi kyau da $100? Babu wadda take rage matsakaicin farashi. Wannan kasafin kuɗi kuɗi ne da za mu iya rasawa; abin da muke zaɓa shi ne kuɗin caca da dokokin tsayawa. Kuɗin caca $5, kashi 5% na kasafin kuɗin, wanda ke ba mu kusan cace-cace ashirin masu asara a hannu. Iyakar asaradabaraIyakar asaraAdadin asara da aka tsayar tun farko wanda idan aka kai shi ake ƙare zaman wasa.Karanta gaba ɗaya → a −$50 da iyakar ribadabaraIyakar ribaBurin riba da aka tsayar tun farko wanda idan aka kai shi ake ƙare zaman wasa.Karanta gaba ɗaya → a +$50, an yanke shawararsu yanzu. 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 juye-juye 60 ita ce 60 × $5 / 37 = $8.11. Muna tsammanin mu tafi da kusan $92, kuma mu kasance a ko'ina tsakanin $20 da $170 da yiwuwalissafiYiwuwaDamar faruwar wani sakamako, daga 0 zuwa 1 ko daga 0% zuwa 100%. Lamba ɗaya: 1/37 = 2.70%.Karanta gaba ɗaya → mai ma'ana.
Juye-juye 1–20
J B B J J 0 B J J B J B B B J J B J B J. JacacaJaCacar ɗaya zuwa ɗaya (even-money) a kan lambobi ja 18. A Faransanci: rouge.Karanta gaba ɗaya → goma, baƙicacaBaƙiCacar ɗaya zuwa ɗaya (even-money) a kan lambobi baƙi 18. A Faransanci: noir.Karanta gaba ɗaya → tara, sifilidabaranSifiliRamin kore guda ɗaya da babu cacar ɗaya zuwa ɗaya, ta dozin ko ta ginshiƙi da ke rufe shi; tushen fifikon gidan caca. Ana kuma kiransa: sifili ɗaya, 0.Karanta gaba ɗaya → ɗaya: +$50 − $45 − $5 = $0. Ma'auni $100. Sifili a juyi na 6 ya ci 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 → ɗaya kuma, a 1/37, ya ɗan zo da wuri. Babu wani abu na ban mamaki a nan. Muna daidai bayan juye-juye ashirin.
Juye-juye 21–36
B B B B B J B B J B B J B B B B. Baƙi biyar a farko, goma sha uku gaba ɗaya: ja uku, baƙi goma sha uku, +$15 − $65 = −$50. Ma'auni $50. Wannan shi ne ɓangaren da ke sa mutane su canza cacarsu, su ninka ko su canza launi. Yiwuwar baƙi 13 ko fiye a juye-juye 16 bai kai 1% ba; ko ba daɗe ko ba jima zai faru ga wani a daren nan. Muna da asarar $50 daga farko, iyakar asara ta tashi a juyi na 36, kuma muka tashi.

Juye-juye 37–60, ba tare da mu ba
J B J B, sannan J J B J 0 J B J J B J J B B J J B J B J. Ja goma sha huɗu, baƙi tara, sifili ɗaya: da mun ci gaba da wasa, da +$70 − $45 − $5 = +$20 da ma'auni na $70 a juyi na 60. Juye-juye talatin da shida a tebur kai tsaye kusan mintuna 45 ne. Mun tafi da $50, asarar $50, yayin da ake tsammanin −$4.86 a juye-juye 36. Ja goma sha uku, baƙi ashirin da biyu, sifili ɗaya.
- p10 −$100
- p25 −$100
- tsakiya −$100
- p75 +$0
- p90 +$70
Abin da ya faru
Mun biya kusan $5 a kan mintuna 45 na roulette, tare da $45 na rashin sa'a. Ja goma sha uku a juye-juye 36 ya yi ƙasa sosai da 17.5 da ake tsammani, kuma rashin ja tara idan aka kwatanta da baƙi −$45 ne kafin sifili. Bambancin sakamakolissafiBambancin sakamakoMa'aunin yadda sakamako ke yaɗuwa a kewayen ƙimar da ake tsammani. Yana da girma ga straight up, ƙanƙanta ga cace-cacen ɗaya zuwa ɗaya.Karanta gaba ɗaya → ne ya yanke yadda maraicen ya kasance; kuɗin caca da juye-juye ne suka yanke farashin; iyakar asara ce ta yanke lokacin da ya ƙare. Ci gaba da wasa da ya dawo da $20 zuwa juyi na 60, amma wannan ba dalili ba ne na ci gaba: dawowar ma bambancin sakamako ne, haka ma jerin baƙi da ya zo kafin ta.
Abin da ba mu yi ba
Canza kuɗin caca bayan asara (wannan jerin ƙarin cacadabaraJerin ƙarin cacaDuk wata ƙa'ida da ke canza kuɗin caca bisa sakamakon da ya gabata. Jerin ƙarin caca bayan asara yana ɗaga shi bayan an rasa, na bayan nasara kuma bayan an ci.Karanta gaba ɗaya → ne, kuma yana ƙara 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 →). Canza launi bayan jerin baƙi (damarmaki iri ɗaya). Ci gaba da wasa fiye da juye-juye 60 domin “mun kusa daidaita” (wannan sake tattauna iyakar asara ne). Yin caca a kan dozincacaDozin1–12, 13–24 ko 25–36, biya 2:1.Karanta gaba ɗaya → da “bai fito ba” (fifikon gidan caca iri ɗaya, siffa dabam). Kowanne daga cikin waɗannan da ya canza siffar maraicen, amma babu wanda da ya canza farashin da ake tsammani.
Tambayoyi
Tsabobin caca ashirin a hannu maimakon goma. Maraicen yana daɗewa; farashi a kowane juyi yana raguwa da rabi.
Asarar da ake tsammani $4.05 maimakon $8.11. Eh.
Ba alamar komai ba ce. Baƙi goma sha uku a juye-juye goma sha shida yana faruwa kusan maraice ɗaya cikin 125.
Ɗan barkwanci

Kuɗin caca da juye-juye ne suka tsara farashin. Dabaran ne ya tsara yanayin.
Majiyoyi
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.