LAABUOKUGEZESA 06df = 36α = 0.05seed 99

Okusosola kwa Nnamuziga wa Roulette

Nnamuziga wa roulette asosola asinza ebinnya ebimu olw'obuzibu obw'omubiri: olukomera lw'ekinnya olusumulukuse, rotor etali nnenkanya, ebinnya ebikaddiye. Okusosola kwa nnamuziga wa roulette kubaawo era kwali kukozeseddwa. Obuzibu buli nti nnamuziga omwesimbu ddala buli kiseera akola “ennamba eyokya”, n'olwekyo ekibuuzo si kya kumanya oba ennamba eyokya, wabula oba enkola yonna ekyamye okusinga omukisa bwe gukkiriza.

1. Gezesa nnamuziga omwesimbu

Okwetooloola okuva ku nnamuziga ow'ekyokugezesa atalina kusosola n'akatono. Kyusa obunene bw'ekyokulabirako olabe ekinnya ekisinga okwokya.

okwetooloola370

ekisuubirwa ku buli kinnya10.0

ekinnya ekisinga okwokya20 · emirundi 16 (4.32%)

ekisinga okwokya ku kisuubirwa+60% · 1.9σ

chi-square · p32.8 · 0.622

ensalatewali bujulizi bwa kusosola

2. Ebirabiddwa n'ebisuubirwa

Buli mulongooti kinnya mu nsengeka ya nnamuziga. Olunyiriri olw'obutundutundu gwe muwendo ogusuubirwa, n/37. Ekitundu ekisiigiddwako langi kiri ±2 ebipimo by'enjawukana: ku nnamuziga omwesimbu, kumpi ekinnya kimu ku binnya amakumi abiri kijja kukisukka olw'omukisa gwokka.

0ebinnya mu nsengeka ya nnamuziga →26

3. Okugezesa kwa chi-square

Okugezesa kugatta ebanga buli kinnya lye kiri okuva ku kisuubirwa, nga likubisiddwamu lyokka era ligeraageranyiziddwa. Ku nnamuziga omwesimbu, omugatte gugoberera chi-square distribution ng'eddembe ly'enkyukakyuka 36; p-value eri wansi wa 0.05 etera okuyitibwa ey'amakulu.

χ² = Σ (Oᵢ − Eᵢ)² / Eᵢ Eᵢ = n/37 df = 36
n = 370 · E = 10.00 · χ² = 32.80 · p = 0.622

Okulabula ku bunene bw'ekyokulabirakoWansi wa okwetooloola 1,000, okugezesa tekulina maanyi kumpi n'akatono okuzuula okusosola okwa nnamaddala, era ekivaamu “eky'amakulu” ku p < 0.05 kijja kujja olw'omukisa mu 1 ku buli byokulabirako 20 ebyesimbu by'otunuulira. Okugezesa nnamuziga bangi, oba okuddamu okugezesa nnamuziga omu ddala okutuusa lw'ayita, kireeta ebivaamu eby'obulimba ebikakafu.

4. Okwetooloola emirundi emeka kw'oyinza okwetaaga

Okwetooloola okwetaagisa okuzuula ekinnya kimu ekijja emirundi mingi okusinga 1/37, ku mutendera 5% ku ludda lumu n'amaanyi 80%. Ekinnya ekijja omulundi 1 ku 35 mu kifo kya 1 ku 37 kyandibadde enkizo y'omuzannyi ey'amaanyi, era kwetaaga okwetooloola okuwandiikiddwa emitwalo n'emitwalo okukikakasa.

omuwendo ogwa nnamaddalaenkizo y'omuzannyiokwetooloola okwetaagisaokwetooloola 40 buli ssaawa

1 ku 25+44.0%1,108ssaawa 28

1 ku 30+20.0%4,392ssaawa 110

1 ku 33+9.1%15,747ssaawa 394

1 ku 35+2.9%69,461ssaawa 1,737

Okukakasa okusosola kitegeeza okuwandiika okwetooloola buli kiro, emitwalo n'emitwalo.

Enkola y'okubalirira

Okulonda. Okulonda okw'enkanyankanya okuva mu binnya 37 nga tukozesa enkola erina ensigo (mulberry32, seed 99), olupapula lusobole okuddibwamu bwe lutyo.

Okugezesa. Pearson chi-square goodness of fit, eddembe ly'enkyukakyuka 36, p-value okuva mu regularized incomplete gamma function.

Amaanyi. Okusemberera kwa normal ku kugezesa kwa proportion emu, α = 0.05 ku ludda lumu, amaanyi 0.80.

Ekikolebwa. Kuzuula mu bibalo kwokka. Ebivaako eby'omubiri n'okwekenneenya okw'ebitundu (mu kifo ky'ebinnya kimu kimu) binnyonnyolwa mu Okwekenneenya Ebitundu bya Nnamuziga.

Eky'okusesa

Nnamuziga omwesimbu akola ennamba eyokya buli kiro. Okukakasa okusosola kwetaaga okwetooloola emitwalo n'emitwalo.

Ensibuko

Pearson, K. (1900). On the criterion that a given system of deviations… Philosophical Magazine, 50(302).
Thorp, E. O. (1969). Optimal gambling systems for favorable games. Review of the International Statistical Institute, 37(3).
Ethier, S. N. (2010). The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer. Sur. 13, Roulette.