Derekközder
Matematika men tarihtyñ negızındegı kıtaptar men maqalalar.

YqtimaldyqmatematikaYqtimaldyqNätijenıñ mümkındıgı; 0-den 1-ge deiın ne 0%-dan 100%-ğa deiın. Bır nömır: 1/37 = 2,70%.Tolyğyn oqu → jäne qūmar oiyn matematikasy Ethier men Epsteinge süienedı; hi-kvadrat synağyzerthanaHi-kvadrat testıÄr ūiaşyqqa tüsken baiqalğan nätijelerdı kütıletın n/37 mänımen salystyratyn statistikalyq test. Döñgelektıñ auytqyğanyn bağalauğa qoldanylady.Tolyğyn oqu → Pearsonğa süienedı; tarih zamandas derekter men standartty anyqtamalyqtarğa süienedı. Tıkelei studialardyñ jūmysyna arnalğan körsetkışter jarialanğan operator jäne retteuşı qūjattamasynan alynğan.
Matematika jäne statistika
- 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.
Fizika jäne artyqşylyqpen oiyn
- Bass, T. A. (1985). The Eudaemonic Pie. Houghton Mifflin.
- Small, M. & Tse, C. K. (2012). Predicting the outcome of roulette. Chaos 22(3).
Tarih
- Lablée, J. (1801). La Roulette, ou le Jour.
- Barnhart, R. T. (1992). Beating the Wheel. Lyle Stuart.
- Wykes, A. (1964). The Complete Illustrated Guide to Gambling. Doubleday.
Tıkelei ruletkanyñ jūmysy
Tıkelei krupie oiyndary men kezdeisoq san generatsiasyna arnalğan UK Gambling Commission jäne Malta Gaming Authority-dıñ jaria tehnikalyq standarttary; käsıbi döñgelekterdıñ öndıruşı sipattamalary.