Ngā Puna
Ngā pukapuka me ngā tuhinga kei muri i te pāngarau me te hītori.
Ko te tūponotangapāngarauTūponotangaTe tūpono o tētahi putanga, mai i te 0 ki te 1, mai i te 0% ki te 100% rānei. Tau kotahi: 1/37 = 2.70%.Pānuitia katoatia → me te pāngarau petipeti e whai ana i a Ethier rāua ko Epstein; ko te whakamātautau chi-squaretaiwhangaWhakamātautau chi-squareHe whakamātautau tatauranga e whakatairite ana i ngā putanga kua kitea i ia kōhao ki te n/37 e tūmanakohia ana. Ka whakamahia hei whakatau mēnā he tītaha te wīra.Pānuitia katoatia → e whai ana i a Pearson; ko te hītori e whai ana i ngā kōrero o taua wā me ngā tohutoro paerewa. Ko ngā tau mō te whakahaere taiwhanga pāho ora nō ngā tuhinga kua whakaputaina e ngā kaiwhakahaere me ngā kaiwhakarite ture.
Pāngarau me te tatauranga
- Ethier, S. N. (2010). The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer.
- Epstein, R. A. (2013). The Theory of Gambling and Statistical Logic, putanga 2. 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.
Ahupūngao me te tākaro whai painga
- Bass, T. A. (1985). The Eudaemonic Pie. Houghton Mifflin.
- Small, M. & Tse, C. K. (2012). Predicting the outcome of roulette. Chaos 22(3).
Hītori
- 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.
Te whakahaere rūreti ora
Ngā paerewa hangarau tūmatanui a te UK Gambling Commission me te Malta Gaming Authority mō ngā kēmu kaitiritiri ora me te whakaputa tau matapōkere; ngā whakatakotoranga a ngā kaihanga mō ngā wīra ngaio.