Çeşmeler
Matematikanyň we taryhyň esasynda duran kitaplar we makalalar.
ÄhtimallykmatematikaÄhtimallykNetijäniň mümkinçiligi, 0-dan 1-e ýa-da 0%-den 100%-e çenli. Bir san: 1/37 = 2,70%.Dolulygyna okaň → we kumar oýunlarynyň matematikasy Ethier we Epstein boýunça; hi-kwadrat testilaboratoriýaHi-kwadrat testiHer öýjüge synlanan düşüşleri garaşylýan n/37 bilen deňeşdirýän statistik test. Çarhyň egridigine baha bermek üçin ulanylýar.Dolulygyna okaň → Pirson boýunça; taryh şol döwrüň beýanlary we standart maglumatnamalar boýunça. Göni ýaýlym studiýalarynyň işi baradaky sanlar operatorlaryň we düzgünleşdirijileriň çap edilen resminamalaryndan alnan.
Matematika we 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 we artykmaçlyk bilen oýun
- Bass, T. A. (1985). The Eudaemonic Pie. Houghton Mifflin.
- Small, M. & Tse, C. K. (2012). Predicting the outcome of roulette. Chaos 22(3).
Taryh
- 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.
Göni ýaýlym ruletkasynyň işi
UK Gambling Commission we Malta Gaming Authority tarapyndan göni ýaýlym diler oýunlary we tötänleýin san generasiýasy boýunça çap edilen tehniki standartlar; professional çarhlar üçin öndürijileriň tehniki häsiýetnamalary.