Obusoboka mu Roulette
Buli busoboka mu roulette muwendo gw'ebinnya ogugabanyizibwamu 37.
p = ennamba ezikwatiddwa / 37. Ennamba emu: 2.70%. Kkumi na munaana: 48.65%. Obusoboka bw'olunyiriri olw'ebivaamu olugere bukubisibwamu obusoboka bwa buli kwetooloola.
Okwetooloola okumu
Buli kimu ku binnyaebikozesebwaEkinnyaKimu ku bisenge 37 ebiriko ennamba ku rotor. Era biyitibwa: slot, cup.Soma byonna → 37 kisoboka kyenkanyi, kale obusoboka bw'okuwangula mu roulette mu kwetooloola okumu kubala kwokka. Zzaala ku nnamba nnya ewangula emirundi 4/37, nga 10.8%. Tewali kirala kyonna mu busobokaokubalaObusobokaObusoboka bw'ekivaamu, okuva ku 0 okutuuka ku 1 oba 0% okutuuka ku 100%. Ennamba emu: 1/37 = 2.70%.Soma byonna → bw'okwetooloola okumu okusukka ekyo, y'ensonga lwaki omuzannyo gwonna gusobola okwekenneenyezebwa ku kapapula akatono.
Okwetooloola okuwera
Okwetooloola tekukwatagana, kale obusoboka bw'olunyiriri bukubisibwamu. EmmyufuzzaalaEmmyufuZzaala ya emu ku emu ku nnamba 18 emmyufu. Mu Lufalansa: rouge.Soma byonna → bbiri omuddiriŋŋanwa: (18/37)² = 23.7%. Emmyufu oluvannyuma 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 →: (18/37)(1/37) = 1.3%. Kkumi na musanvu emirundi ebiri omuddiriŋŋanwa: (1/37)² = 0.073%, nga omulundi gumu mu 1,369. Ensengeka ekulu ku lunyiriri olugere so si ku muwendo: “emmyufu oluvannyuma enzirugavuzzaalaEnzirugavuZzaala ya emu ku emu ku nnamba 18 enzirugavu. Mu Lufalansa: noir.Soma byonna →” eri 25.0% naye “emmyufu emu n'enzirugavu emu mu kwetooloola kubiri, mu nsengeka yonna” eri 50.0%.
Waakiri omulundi gumu
Kozesa ekikontana. Obusoboka bw'obutajja ku straight upzzaalaStraight upEnnamba emu yokka, esasula 35:1.Soma byonna → mu kwetooloola 37 buba (36/37)³⁷ = 36.3%, kale obusoboka bw'okujja waakiri omulundi gumu buba 63.7%, so si “obukakafu” abazannyi bangi bwe basuubira okuva mu mikisa 37 egya 1 ku 37. Okubala kwe kumu kulaga nti ennamba erina obusoboka nga 1 ku 3 obw'obutalabika n'akatono mu kwetooloola 37, y'ensonga lwaki olubaawo lw'ebivuddemu bulijjo lulaga ennamba ntono “ennyogovu”.
Ekiseera ky'okulinda ekisuubirwa
Ku kigero, ennamba ya straight up evaayo omulundi gumu buli kwetooloola 37, naye okulinda kukyukakyuka nnyo: okulinda okw'omu makkati kuba nga okwetooloola 25 (ekitundu ky'ebiseera ejja mangu okusingawo) era okulinda kumu ku abiri kusukka okwetooloola 110. Ebiseera by'okulinda mu nkola ya geometric birina omukira omuwanvu, era omuzannyi “amanyi” nti ennamba etuuse okuvaayo oluvannyuma lw'okwetooloola 60 ayogera ku kintu ekibaawo omulundi gumu ku butaano.
Ensobi ezitera okubaawo
Okugatta obusoboka bw'ebintu ebiyinza okubaawo byombi (emmyufu oba ezitagabanyizika si 36/37; eri 26/37, kubanga ennamba kkumi zibeera byombi). Okukubisaamu ku bintu eby'okwetooloola okumu (emmyufu n'ezitagabanyizika mu kwetooloola okumu eri 10/37, so si 18/37 × 18/37). Okutwala okwetooloola okwayita ng'ekitundu ky'olunyiriri lw'osibako kati: oluvannyuma lw'emmyufu kkumi, obusoboka bw'ey'ekkumi n'emu buba 18/37, so si (18/37)¹¹.
Emikisa mu roulette kye ki, era gyawukana gitya ku busoboka?
Kaasino zoogera ku nsasulassenteEnsasulaZzaala ewangudde ky'ekomyawo, ekyogerwa nga “X ku 1” okwongera ku ssente za zzaala ezizzibwayo.Soma byonna → ng'emikisa. Ennamba emu ewangula n'obusoboka 1/37, kale emikisa gy'okuwangula mu roulette ku nnamba emu giba 36 ku 1 egikontana. Ensasula ya 35 ku 1 kale ebulako yunitissenteYunitiSsente za zzaala ez'entandikwa enkola oba omuzannyi z'akozesa. Okulinnyisa zzaala kunnyonnyolwa mu yuniti kusobole okukola ku mmeeza yonna.Soma byonna → emu, eyo y'enkizo ya kaasinookubalaEnkizo ya kaasinoEkitundu kya buli ssente za zzaala kaasino ky'ekuuma ku kigero: 2.70% mu roulette ya Bulaaya.Soma byonna → mu ngeri yaayo ey'olubereberye. Okukyusa: emikisa egikontana = (1 − p)/p; obusoboka = 1/(emikisa + 1).
Ensengekera
Ebibuuzo
(1/37)² = 1/1369 ≈ 0.073%.
36/37 = 97.3%. Zeero kye kisigadde.
Zonna 37 ziri 1/37. Kkumi na musanvu y'ennamba esinga okusibibwako zzaala, ekyo kiri ku bantu.
Okwesanyusa n'Okubala
Gezaako bino ggwe kennyini okusooka. Buli kugonjoola kuzingiddwa; kuggulewo ng'oli mwetegefu.
Osiba ku mmyufuzzaalaEmmyufuZzaala ya emu ku emu ku nnamba 18 emmyufu. Mu Lufalansa: rouge.Soma byonna →, okwetooloola ku kwetooloola. Obusoboka nti okuwangula kwo okw'okutaano kujja ku kwetooloola okw'omunaana ddala bwe buliwa? Ate nti oba owangudde emirundi etaano mu kwetooloola munaana okusooka?
Laga okugonjoola
Eky'okuddamu 12.9%, nga 1 ku 8, ku kuwangula okw'okutaano ku kwetooloola okw'omunaana. 33.4% ku kuwangula etaano okutuusa awo.
Okuwangula okw'okutaano ku kwetooloola okw'omunaana kutegeeza ebintu bibiri: okwetooloola okw'omunaana kuwangula, era okwetooloola musanvu okusooka kulimu okuwangula kuna ddala n'okufiirwa kusatu, mu nsengeka yonna. Waliwo engeri 35 ez'okuteeka okuwangula kuna mu kwetooloola musanvu.
Kale obusoboka buli 35 × (18/37)⁵ × (19/37)³ = 35 × 0.02725 × 0.1354 = 12.9%.
Ku kuwangula etaano okutuusa ku kwetooloola okw'omunaana, gattako ekitundu kye kimu ku kuwangula okw'okutaano ku kwetooloola okw'okutaano, okw'omukaaga n'okw'omusanvu: 2.7% + 7.0% + 10.8% + 12.9% = 33.4%. Abakugu mu bibalo kino bakiyita negative binomial distribution: okugezaako kumeka omuwendo ogugere ogw'okuwangula kwe gwetaaga. Taylor (2021) akola ekibuuzo kye kimu ku nnamuziga wa Amerika, 12.2%.
Eky'okusesa
Bala ebinnya. Gabanyamu 37. Kubisaamu ku nnyiriri. Kiwedde.
Ensibuko
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling.
- Taylor, D. G. Games, Gambling, and Probability: An Introduction to Mathematics, 2nd ed.