Vyanzo
Vitabu na makala nyuma ya hisabati na historia.

UwezekanohisabatiUwezekanoNafasi ya matokeo, kutoka 0 hadi 1 au 0% hadi 100%. Namba moja: 1/37 = 2.70%.Soma yote → na hisabati ya kamari hufuata Ethier na Epstein; kipimo cha chi-squaremaabaraJaribio la chi-squareJaribio la takwimu linalolinganisha matokeo yaliyotokea kwa kila kiboksi na n/37 inayotarajiwa. Hutumiwa kuamua kama gurudumu lina upendeleo.Soma yote → hufuata Pearson; historia hufuata taarifa za wakati huo na marejeleo ya kawaida. Takwimu za uendeshaji wa studio ya moja kwa moja zinatoka kwenye nyaraka zilizochapishwa za opereta na mdhibiti.
Hisabati na takwimu
- Ethier, S. N. (2010). The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer.
- Epstein, R. A. (2013). The Theory of Gambling and Statistical Logic, 2nd ed. Academic Press.
- Pearson, K. (1900). On the criterion that a given system of deviations from the probable… Philosophical Magazine 50(302).
- Thorp, E. O. (1969). Optimal gambling systems for favorable games. Review of the International Statistical Institute 37(3).
- Bollman, M. (2021). Mathematics of the Big Four Casino Table Games: Blackjack, Baccarat, Craps, & Roulette. CRC Press.
Fizikia na uchezaji wa faida
- Bass, T. A. (1985). The Eudaemonic Pie. Houghton Mifflin.
- Small, M. & Tse, C. K. (2012). Predicting the outcome of roulette. Chaos 22(3).
Historia
- Lablée, J. (1801). La Roulette, ou le Jour.
- Barnhart, R. T. (1983). Beating the Wheel. Lyle Stuart.
- Wykes, A. (1964). The Complete Illustrated Guide to Gambling. Doubleday.
Uendeshaji wa roulette ya moja kwa moja
Viwango vya kiufundi vya umma kutoka UK Gambling Commission na Malta Gaming Authority kuhusu michezo ya mhudumu wa moja kwa moja na uzalishaji wa namba nasibu; vipimo vya mtengenezaji kwa magurudumu ya kitaalamu.