Bonasi, Ebisikiriza n'Ebizzibwayo mu Roulette
Bonasi za roulette nga kkupooni za matchplay, cipu z'otasobola kuwaanyisa ssente n'okuzzibwayo ku kufiirwa, zisengula ssente ntono okuva ku kaasino okudda ku muzannyi. Bw'obalirira obulungi, ezimu ku zo zigasa okusinga ekyo nnamuziga ky'atwala.

Kkupooni ekubisaamu emirundi ebiri ensasula ya zzaala ya emu ku emu egasa nga 46% ku zzaala ku nnamuziga wa Bulaaya. Cipu ey'ebisikiriza ekozesebwa omulundi gumu egasa (36 − n)/37 ku muwendo gwayo ku zzaala ebikka ennamba n: 95% ku straight up, 49% ku mmyufu. Okuzzibwayo ekitundu ky'okufiirwa kwo okutuufu kufuula ekiseera ekimpi eky'okuzannya ku mmyufu eky'omugaso. Tewali na kimu ku bino ekikyusa nnamuziga; bikyusa oyo asasula.
Lwaki ekisikiriza kiyinza okusinga enkizo
Enkizo ya kaasinookubalaEnkizo ya kaasinoEkitundu kya buli ssente za zzaala kaasino ky'ekuuma ku kigero: 2.70% mu roulette ya Bulaaya.Soma byonna → ye bbeeyi ku buli yunitissenteYunitiSsente za zzaala ez'entandikwa enkola oba omuzannyi z'akozesa. Okulinnyisa zzaala kunnyonnyolwa mu yuniti kusobole okukola ku mmeeza yonna.Soma byonna → esibiddwa: 2.70% ku nnamuziga wa Bulaaya. Bonasi ya roulette eyongera ssente ku ludda lumu olwa zzaala, era bw'eyongera okusinga 2.70% ku ssente za zzaala, zzaala eyo eba ya magoba ebbanga lyonna ekisikiriza lye kimala. Kaasino zibiwa wadde bwe kityo kubanga birina ekkomo: kkupooni emu buli lw'ojja, cipussenteCipuAkabonero akakiikirira omuwendo ogutakyuka, akateekebwa ku mmeeza ya zzaala okusiba zzaala. Era kayitibwa: check.Soma byonna → ezisibwa naye tezisobola kuwaanyisibwa ssente, okuzzibwayo eri abazannyi bokka abafiirwa ssente nnyingi. Okubala kwe kumu nga awalala wonna ku mukutu guno: obusoboka nga bukubisiddwamu ensasulassenteEnsasulaZzaala ewangudde ky'ekomyawo, ekyogerwa nga “X ku 1” okwongera ku ssente za zzaala ezizzibwayo.Soma byonna →, nga bigattibwa ku bivaamu byonna.
Kkupooni za matchplay
Kkupooni ya matchplay eteekebwa okumpi ne zzaala ya ssente enkalu era ekubisaamu emirundi ebiri ekyo zzaala ky'esasula bw'ewangula; ka owangule oba ofiirwe, kaasino esigaza kkupooni. Bollman (2024) abalirira kkupooni ya Las Vegas eya 2022 eyakwataganya okutuuka ku $50 ku zzaala ya emu ku emuzzaalaZzaala ya emu ku emuEmmyufu/enzirugavu, ezitagabanyizika/ezigabanyizika, ennene/entono. Ennamba 18, esasula 1:1.Soma byonna →. Ku nnamuziga wa Bulaaya, $50 ku mmyufuzzaalaEmmyufuZzaala ya emu ku emu ku nnamba 18 emmyufu. Mu Lufalansa: rouge.Soma byonna → ne kkupooni ziwangula $100 n'obusoboka bwa 18/37 era zifiirwa $50 n'obusoboka bwa 19/37: ekisuubirwa +$22.97, oba 45.9% ku zzaala. Ku nnamuziga wa Amerika kiri +$21.05, 42.1%. Ku straight upzzaalaStraight upEnnamba emu yokka, esasula 35:1.Soma byonna → kkupooni y'emu yandigasizza emirundi ebiri, y'ensonga lwaki kkupooni zikkirizibwa ku zzaala ya emu ku emu zokka.
Cipu z'otasobola kuwaanyisa ssente
Cipu ez'ebisikiriza, era eziyitibwa non-negotiable chips, zisibwa naye tezisobola kuwaanyisibwa ssente. Etteeka erya bulijjo lya mulundi gumu: zzaala ewangudde esasulwa mu cipu eza bulijjo ate cipu ey'ebisikiriza n'etwalibwa; efiiriddwa nayo etwalibwa. Cipu ya $100 ku zzaala ebikka ennamba n ewangula (36 − n)/n × $100 n'obusoboka bwa n/37, kale egasa (36 − n)/37 ku muwendo gwayo. Omuwendo gwa cipu yennyini tegukomawo, amagoba gokka, era zzaala ewangula emirundi mitono naye esasula nnyingi y'efiirwa ekitono mu ngeri eyo: $94.59 ku straight up, $48.65 ku mmyufu. Awali nga cipu esobola okusigala ku mmeeza ya zzaalaebikozesebwaEmmeeza ya zzaalaEkipande kya zzaala ekikubiddwa ku mmeeza. Era kiyitibwa: table, felt, cloth.Soma byonna → okutuusa lw'efiirwa, zzaala ya emu ku emu egasa 18/19 ku muwendo gwayo ku nnamuziga wa Bulaaya ne 9/10 ku wa Amerika (Bollman, 2024).
Okufuula cipu ssente enkalu
Omuwendo kye kigero; omuzannyi ayagala ssente ezikakafu asobola okuzigula ng'akozesa okwekuuma. Ekyokulabirako kya Bollman kiva mu kaasino enkadde eya Vegas World: cipu ez'omulundi gumu eza $1,000 ku nnamuziga wa Amerika, $500 ku mmyufu ne $500 ku nzirugavuzzaalaEnzirugavuZzaala ya emu ku emu ku nnamba 18 enzirugavu. Mu Lufalansa: noir.Soma byonna →, ne $20 mu ssente enkalu ku buli emu ku 0 ne 00. Emmyufu oba enzirugavu ewangula $500 n'efiirwa $40 ez'enkalu: +$460. ZeeronnamuzigaZeeroEkinnya kimu ekya kiragala ekitabikkibwa zzaala ya emu ku emu, eya dazeni oba ey'empagi; y'ensibuko y'enkizo ya kaasino. Era eyitibwa: zeero emu, 0.Soma byonna → efiirwa cipu zombi era esasula $700 ku ssente enkalu: +$680. Omuzannyi atereka waakiri $460, era ekigero, $471.58, kiri 99.6% ku cipu kye zigasa ku mmyufu zokka. Amateeka bwe gakkiriza cipu ku nnamba emu emu, nnamuziga wa Bulaaya awa okwekuuma okusingako: cipu za $25 ku nnamba zonna 36 ($900) ne $25 mu ssente enkalu ku zeero. Ennamba yonna ejja esasula $875, era ssente enkalu eziri ku zeero zifiirwa okuggyako nga zeero yennyini y'ejje, kale omuzannyi asigaza waakiri $850, 94% ku muwendo gwa cipu, awatali kabi konna.

Okuzzibwayo ku kufiirwa
Abazannyi abasiba ssente nnyingi batera okuweebwa okuzzibwayo: omugabo ku kufiirwa kwabwe okutuufu nga guzzibwayo ku nkomerero y'ekiseera ky'okuzannya ekikkaanyiziddwako. Okuzzibwayo kusasula ng'ofiiriddwa kyokka, kale kugasa nnyo ebivaamu bwe bikyukakyuka ennyo era ng'ekiseera ky'okuzannya kimpi ekimala nti enkizo tennatwala. Epstein (2013) abalirira ensonga eno ku nnamuziga wa Amerika; emiwendo gyaffe egya nnamuziga wa Bulaaya gye giddako. Ng'ekitundu ky'okufiirwa okutuufu kizzibwayo, zzaala ya emu ku emu ey'omuwendo gumu egasa okuzannya okutuuka ku kwetooloola 103 era esinga ku 25, ng'egasa ssente za zzaala +0.51 ku kigero. Ku straight up okukyukakyuka kunene nnyo ne kiba nti ekiseera ky'okuzannya kisigala kya magoba okumala okwetooloola nga 3,600 era kisinga ku 882, nga kigasa ssente za zzaala +17.25. N'okuzzibwayo okwa bulijjo okwa 10%, emu ku emu eba ya magoba ku kwetooloola kumu kwokka, so nga straight up esinga ku kwetooloola 20, ng'egasa ssente za zzaala +0.62.
Amateeka g'ebisikiriza bya roulette: kaasino ky'esuubira
Buli kisikiriza kirina ekkomo, era ekkomo likuuma kaasino: kkupooni emu buli lw'ojja, cipu ziweebwa mu muwendo ogugere, okuzzibwayo kukkaanyizibwako n'abazannyi bokka okufiirwa kwabwe okusuubirwa mu lugendo okusukkulumye ennyo ku ebyo ebizzibwayo. Omuzannyi akozesa kkupooni n'oluvannyuma n'asigala akawungeezi konna ng'asiba $50 ku mmyufu azzaayo $22.97 mu kwetooloola 17, ku $1.35 buli kwetooloola. Omuwendo guno gwa ddala eri omuzannyi agutwala n'agenda, oba eyali agenda okuzannya ekyo kyonna ne bwe kitandibadde bwe kityo.
Ensengekera
Ebibuuzo
Ku zzaala emu gy'egenderako, yee. Buli zzaala endala ekyagula 2.70% ku ssente za zzaala.
Abazannyi batono abakirowoozaako, cipu zirina ekkomo, era kaasino yamala dda okubalirira ekisikiriza ng'okulanga.
Kitono nnyo. Kya bazannyi abasiba ssente nnyingi (high rollers), era kutera kukkaanyizibwako ne casino host era kusasulwa ku kufiirwa okutuufu mu lugendo lwonna.
Okwesanyusa n'Okubala
Gezaako bino ggwe kennyini okusooka. Buli kugonjoola kuzingiddwa; kuggulewo ng'oli mwetegefu.
Oweereddwa cipussenteCipuAkabonero akakiikirira omuwendo ogutakyuka, akateekebwa ku mmeeza ya zzaala okusiba zzaala. Era kayitibwa: check.Soma byonna → ey'ebisikiriza eya $25 etwalibwa oluvannyuma lwa zzaala emu, ka owangule oba ofiirwe. Ogiteeke wa: ku mmyufuzzaalaEmmyufuZzaala ya emu ku emu ku nnamba 18 emmyufu. Mu Lufalansa: rouge.Soma byonna →, ku dazenizzaalaDazeni1–12, 13–24 oba 25–36, esasula 2:1.Soma byonna → oba ku nnamba emu?
Laga okugonjoola
Eky'okuddamu Ku nnamba emu. Eyo egasa $23.65 ku kigero; ku dazeni $16.22 ate ku mmyufu $12.16.
Cipu yennyini tekomawo, wabula ky'ewangula kyokka. Ku mmyufu ewangula $25 n'obusoboka bwa 18/37: $12.16. Ku dazeni ewangula $50 n'obusoboka bwa 12/37: $16.22. Ku nnamba emu ewangula $875 n'obusoboka bwa 1/37: $23.65.
Mu bulijjo zzaala ku nnamba n egasa (36 − n)/37 ku cipu, kale ennamba gye zikoma okuba ntono, gye kikoma okuba ekirungi. Ku cipu eya bulijjo kino tekirina njawulo, kubanga ssente za zzaala zikomawo na buli kuwangula era buli zzaala egasa 36/37 ku zo. Okuggyawo ssente za zzaala kulumya zzaala eziwangula emirundi mingi era kumpi tekukwata ku zzaala ewangula omulundi gumu ku 37.
Kaasino ejja kukuzzaayo ekitundu ky'okufiirwa kwo okutuufu oluvannyuma lw'okwetooloola kumu kwokka. $100 ku mmyufu kigasa okuzannya? Ate $100 ku nnamba emu?
Laga okugonjoola
Eky'okuddamu Byombi bigasa: nga +$22.97 ku mmyufu ne +$45.95 ku nnamba.
Ku mmyufu owangula $100 n'obusoboka bwa 18/37 era, oluvannyuma lw'okuzzibwayo, ofiirwa $50 n'obusoboka bwa 19/37: (1,800 − 950)/37 = +$22.97.
Ku nnamba emu owangula $3,500 n'obusoboka bwa 1/37 era ofiirwa $50 n'obusoboka bwa 36/37: (3,500 − 1,800)/37 = +$45.95.
Gino gye miwendo gya matchplay nate. Zzaala ya $100 efiirwa $50 zokka ewangula $100 oba efiirwa $50, ddala nga zzaala ya $50 ne kkupooni ekubisaamu emirundi ebiri okuwangula kwayo. Mu kiseera ky'okuzannya ekiwanvu okuzzibwayo kusasulwa ku kivuddemu ekituufu kyokka, okuwangula n'okufiirwa byegyawo nga tekunnasasulwa, era omuwendo gukendeera; ku mmyufu n'ekitundu ekizzibwayo, okwetooloola 25 bwe buwanvu obusinga.
Kaasino ejja kukuzzaayo ekitundu ky'okufiirwa kwo okutuufu oluvannyuma lw'omuwendo ogugere ogwa zzaala za $100 ku mmyufu, ogulondeddwa nga tonnatandika: okwetooloola 1, 2 oba 3. Kiruwa ekisinga okugasa?
Laga okugonjoola
Eky'okuddamu Okwetooloola kusatu: nga +$31.45. Okwetooloola kumu kugasa +$22.97, ate okubiri +$20.96 kyokka.
Okwetooloola kumu: owangula $100 n'obusoboka bwa 18/37, oba ofiirwa $100 n'ozzibwayo $50 n'obusoboka bwa 19/37: +$22.97, nga mu kyokukola waggulu.
Okwetooloola kubiri: byombi biwangula (emirundi 324 ku 1,369), +$200. Kimu kimu (emirundi 684), $0, nga tewali kya kuzzibwayo. Byombi bifiirwa (emirundi 361), −$200, −$100 oluvannyuma lw'okuzzibwayo. Ekigero: (200 × 324 − 100 × 361)/1,369 = +$20.96. Okuzzibwayo kusasula ku kufiirwa kwokka, era okwetooloola kubiri kufuula okufiirwa kungi okw'okwetooloola kumu okwenkanankana.
Okwetooloola kusatu tekuyinza kwenkanankana. Okuwangula kusatu (emirundi 5,832 ku 50,653): +$300. Okuwangula kubiri (18,468): +$100. Okuwangula kumu (19,494): −$100, ezzibwayo ne zifuuka −$50. Tewali (6,859): −$300, ezzibwayo ne zifuuka −$150. Ekigero: +$31.45.
Okuzzibwayo kugasa nnyo gy'okoma okwewaayo okumala ebbanga eddene, so ng'enkizo egula $2.70 zokka buli kwetooloola, kale omuwendo gulinnya okutuuka nga ku +$51 ku kwetooloola 25 (laba ekipande waggulu), era omuwendo gw'okwetooloola ogutagabanyizika mu bbiri bulijjo gusinga ogugabanyizika mu bbiri oguguddirira.
Kaasino emu e Las Vegas yali yagaba kkupooni: siba $5 ku 00 era, bw'ewangula, osasulwa $250 mu kifo kya $175 eza bulijjo. Zzaala ya $5 ne kkupooni egasa ki, ng'omugabo ku ssente za zzaala, ku nnamuziga waayo owa zeeronnamuzigaZeeroEkinnya kimu ekya kiragala ekitabikkibwa zzaala ya emu ku emu, eya dazeni oba ey'empagi; y'ensibuko y'enkizo ya kaasino. Era eyitibwa: zeero emu, 0.Soma byonna → bbiri?
Laga okugonjoola
Eky'okuddamu Nga +34%: zzaala egasa +$1.71 ku kigero. Singa $250 zibalirwamu $5 ezikomezeddwawo, kiba +31.6%.
00 ewangula omulundi gumu ku kwetooloola 38. Ne kkupooni: +$250 omulundi gumu, −$5 emirundi 37 emirala. Ekigero: (250 − 37 × 5)/38 = 65/38 = +$1.71, nga 34.2% ku $5. Awatali kkupooni: (175 − 185)/38 = −$0.26, −5.26% eza bulijjo.
Singa $250 gwe mugatte ogusasulwa, okuwangula kuli $245 era ekigero kiri (245 − 185)/38 = +$1.58, oba 31.6%.
Bollman (2024) ateeka kkupooni eno, okuva mu kaasino ya Lady Luck (kati Downtown Grand), ng'ekyokukola; eky'okuddamu ekyakubibwa nakyo, 7.89%, tekikwatagana na ngeri yonna ku zino. Nga kkupooni ya matchplay, egasa omulundi gumu: gizannye oyimirire.
Eky'okusesa

Ekisikiriza kigasa nnyo omuzannyi agitwala n'addayo eka.
Ensibuko
- Bollman, M. Basic Gambling Mathematics: The Numbers Behind the Neon, 2nd ed.
- Epstein, R. A. The Theory of Gambling and Statistical Logic, 2nd ed.