Kuchepa kwa Liwiro
Gawo lokhalo la kuzungulira limene lili lodziwikiratu kwenikweni.

Kuchepa kwa liwiro la mpira pa njira kumatsatira kupindika kosalala kosankhidwa ndi kukangana ndi kukankha kwa mpweya. Kuchokera ku nthawi zochepa za mazungulidwe mungathe kuyerekeza nthawi ya kugwa mkati mwa gawo la sekondi. Kumwazika pambuyo pake kumawononga kulondola kwakukulu kumeneko.
Chitsanzo
Ganizirani mpirazipangizoMpiraMpira waung’ono umene umaponyedwa mu njira motsutsana ndi rotor. Mipira yamakono ndi ya ivorine kapena Teflon, 18–21 mm.Werengani yonse → ngati ukuchepa liwiro chifukwa cha gawo losasintha a (kukangana pozungulira) ndi gawo lolingana ndi liwiro b·v (kukankha kwa mpweya ndi kutayika kodalira liwiro): dv/dt = −(a + bv). Yankho lake ndi kuyandikira mwa exponential ku liwiro lofunika kwambiri la kugwa. Nthawi ya kuzungulira T = 2πr/v choncho imakula pa kuzungulira kulikonse ndi kuchuluka kokulirakulira. Pezani a ndi b kuchokera ku mazungulidwe ochepa oyamba ndipo mazungulidwe otsala, ndi nthawi ya kugwa, zimatsatira. Palibe chachilendo pano; ndi mekaniki ya chaka choyamba yogwiritsidwa ntchito pa mpira pa njira.
Zimene kuyerekeza kumagula
Nthawi ya kugwa mkati mwa masekondi 0.2, pamodzi ndi liwiro la rotorzipangizoRotorGawo lozungulira la gudumu limene limanyamula tibowo.Werengani yonse → la tibowozipangizoKabowoChimodzi mwa tibowo 37 tokhala ndi manambala pa rotor. Kamatchedwanso: slot, cup.Werengani yonse → 15 pa sekondi, imapeza kabowo kali pansi pa malo ogwera mkati mwa pafupifupi tibowo titatu. Imeneyo ndi nkhani yabwino kwa wolosera. Nkhani yoipa ndi yakuti mpira kenako umadutsa apronzipangizoApronMalo otsetsereka pakati pa njira ya mpira ndi tibowo, kumene kuli ma deflector.Werengani yonse →, umagunda deflectorzipangizoDeflectorChimodzi mwa zotchinga zachitsulo pa apron zomwe zimamwaza mpira wogwa. Chimatchedwanso: canoe, diamond, pin.Werengani yonse → ndipo umadumpha pa ma fretzipangizoFretChogawa chachitsulo pakati pa tibowo tiwiri pa gudumu.Werengani yonse →, ndipo kabowo komaliza kamafalikira pa kagawidwe ka tibowo 20 mpaka 30. Kulondola kwa gawo la njira kumadyedwa kwambiri ndi kumwazika kwa gawo la kugwa.
Zimene zimatsala
Ngati kagawidwe ka kumwazika kali ndi mode, kotero kuti mpira umagwera pafupi ndi kabowo kogwera kawirikawiri kuposa mwachisawawa, ndiye kubetcha gawogudumuGawoMndandanda wolumikizana wa tibowo pa gudumu, mosiyana ndi gulu pa dongosolo la mabetcha.Werengani yonse → mozungulira kabowo koloseredwa kumapereka phindu laling’ono. Small ndi Tse (2012) anayeza zimenezi m’labu ndi kamera ndipo anapeza milingo ya kugunda kwa gawo loloseredwa yokwera mokwanira kusandutsa phindu la kasinomasamuPhindu la kasinoGawo la ndalama zobetcha zilizonse limene kasino imasunga pa avareji: 2.70% mu roulette ya ku Ulaya.Werengani yonse → kukhala phindu la wosewera la maperesenti ochepa. Mikhalidwe yawo, kuona konse kuchokera pamwamba, gudumu lodziwika, mabetcha oikidwa mpira utaponyedwa, kulibe pa tebulo la pompopompo.
Zimene zimasintha kuchokera ola kupita ola
Manambala awiriwo si okhazikika pa gudumu. A Eudaemons, amene anayeza nthawi ya gudumu la kasino kwa zaka m’ma 1970, anapeza kuti mpweya ndiwo umachepetsa liwiro kwambiri, kuposa njira, ndipo kuti mpira ndi wofunika: mpira wa Teflon unataya liwiro mofulumira kuwirikiza kawiri kuposa wopangidwa ndi chopangira cha mpira wa billiard. Anaonanso maulosi awo akusokonekera ndi 5 mpaka 10% pa ola pamene chitseko chinatsegulidwa kapena nyengo inasintha, chifukwa mpweya wachinyezi kapena wolemera umachepetsa liwiro la mpira msanga. Pulogalamu yawo choncho inasunga makonzedwe osiyana a mlingo wa kuchepa kwa liwiro la mpira ndi a liwiro limene umachoka pa njira, ndipo wosewera anakonzanso zonse ziwiri pa tebulo lililonse ndi kachiwiri nthawi iliyonse pamene maulosi anayamba kusokonekera.
N’chifukwa chiyani Labu ya Roulette ikufotokoza zimenezi
Osati kuti aliyense achite zimenezo. Kuonetsa zimene kwenikweni kusadziwika kwa masewera kuli: gawo lodziwikiratu limene makasino amateteza ndi kutseka mabetcha msanga ndi mazungulidwe ocheperako, ndi gawo la chisokonezo limene amateteza ndi ma deflector ndi ma fret otsika. Wosewera amene amvetsa zimenezi amvetsa chifukwa chake 2.70% ili yotetezeka.
Kuwerengera nokha
Yezani nthawi ya mpira kudutsa deflector pa kuulutsa kulikonse kwa mazungulidwe atatu ndipo yerekezani patsogolo; mudzakhala mkati mwa kuzungulira kumodzi kwa kugwa nthawi zambiri, zimene ndi gawo lodziwikiratu likugwira ntchito monga mmene lafotokozedwera. Kenako onani kumene mpira umagweradi poyerekeza ndi kabowo kali pansi pa malo ogwera, ndipo sungani chiwerengero pa kuzungulira makumi asanu. Chiwerengerocho ndi kagawidwe ka kumwazika, ndipo kukula kwake ndiko yankho la “n’chifukwa chiyani zimenezi sizingagonjetsedwe?”.

Fomula
Mafunso
Ayi. Kukangana kumasiyana ndi fumbi, chinyezi ndi kutha. Olosera amafananitsanso pa kuzungulira kulikonse.
Atatu amapereka kuyerekeza kwapafupi; asanu kapena asanu ndi limodzi kwabwino. Mazungulidwe ocheperako anayi a ma studio amasiya nthawi yochepa yobetcha, ndipo mabetcha amatsekedwa mulimonse.
Ochepa, kwa kanthawi, ndi zipangizo, makasino asanasinthe ndipo malamulo asanatsatire. Onani Kusewera Roulette Mofuna Mwayi.
Masamu Osangalatsa
Yesani nokha choyamba. Yankho lililonse labisika; litsegulireni mukakonzeka.
M’chitsanzo cha Thorp chofotokozera mpirazipangizoMpiraMpira waung’ono umene umaponyedwa mu njira motsutsana ndi rotor. Mipira yamakono ndi ya ivorine kapena Teflon, 18–21 mm.Werengani yonse → wochepetsa liwiro, ngati kuzungulira kumodzi panjira kumatenga masekondi T, mpira uli ndi kuzungulira 1/(e^(3T/20) − 1) − 10/3 kotsala usanachoke panjira. Kodi kwatsala kangati pambuyo pa kuzungulira kwa theka la sekondi, ndi pambuyo pa kwa sekondi yathunthu? Kodi kulakwitsa kuyeza nthawi kwa masekondi 0.012 pa T = 0.8 kumasuntha kuneneratu ndi zingati?
Onetsani yankho
Yankho Pafupifupi kuzungulira 9.5 pambuyo pa ulendo wa theka la sekondi ndi 2.85 pambuyo pa ulendo wa sekondi imodzi. Kulakwitsako kumasuntha kuneneratu ndi pafupifupi 0.12 ya kuzungulira, pafupifupi tibowozipangizoKabowoChimodzi mwa tibowo 37 tokhala ndi manambala pa rotor. Kamatchedwanso: slot, cup.Werengani yonse → 4½.
T = 0.5: 3T/20 = 0.075 ndipo e^0.075 ≈ 1.0779, choncho 1/0.0779 ≈ 12.84, ndipo 12.84 − 3.33 ≈ kuzungulira 9.51. T = 1: e^0.15 ≈ 1.1618, 1/0.1618 ≈ 6.18, ndipo 6.18 − 3.33 ≈ 2.85. Ulendo wachangu umatanthauza kuzungulira kochuluka kotsala, ndipo ulendo wochedwa kuwirikiza kawiri umasiya zosakwana gawo limodzi mwa atatu.
Pa T = 0.8 njira yowerengera imapereka kuzungulira 4.51; pa T = 0.812 imapereka 4.39. Kulakwitsa kwa magawo 12 a chikwi a sekondi, pafupifupi nthawi imene mpira umatenga kugudubuzika m’lifupi mwake, kumasuntha kuneneratu ndi 0.12 ya kuzungulira: pafupifupi tibowo 4½ ta gudumu la tibowo 37. Kulakwitsa kumodzi kumeneko ndi gawo lalikulu la tibowo 5.5 limene ndandanda ya zolakwika ya Thorp imalola pa kuyeza nthawi ya mpira (onani Kusewera Roulette Mofuna Mwayi), ndipo n’chifukwa chake wotchi, osati masamu, ndiyo imaletsa woneneratu.
Nthabwala yopumitsa

Kodziwikiratu mpaka kugwa. Kenako ma deflector.
Magwero
- Small, M. & Tse, C. K. “Predicting the outcome of roulette.”
- Bass, T. A. The Eudaemonic Pie.
- Thorp, E. O. “Optimal gambling systems for favorable games.”