Rulɛt lab · Lab · Statistiks · 7 minit

Ɔmɔs tɛm yu tɛst

Ɔmɔs spin yu fɔ si bifo wan patɛn min sɔntin.

Shɔt ansa

Fɔ si wan pɔkit we de kam 1 tɛm pan 30 insay 1 tɛm pan 37, ɛn fɔ biliv am wit fayn kɔnfidɛns, yu nid lɛk 4,400 spin. Wan pɔkit we de kam 1 pan 35, di kayn we go rili pe, nid lɛk 70,000.

1 pan 25
~1,100 spin
1 pan 30
~4,400 spin
1 pan 35
~70,000 spin
nɔys
∝ 1/√n

Wetin mek i bɔku so

Di signal, we na sɔm ɛkstra kam pan ɛni wan tawzin spin, smɔl if yu kɔmpia am wit di binomial nɔys we na √(n·p·(1−p)) ≈ √(n/37). Nɔys de go dɔn lɛk 1/√n, so fɔ kɔt di dawt na af, di spin we yu nid go bɔku fɔ tɛm pas fɔs. Wan pɔkitikwipmɛntPɔkitWan pan di 37 smɔl ples dɛn wit nɔmba pan di rotɔ. Dɛn kin kɔl am bak: slot, kɔp.Rid ɔl → we de kam 1/30 de gi 33 kam pan wan tawzin spin, bɔt wi bin fɔ ɛkspɛkt 27: na siks ɛkstra kam, ɛn di standad diviyeshɔnmatematiksStandad diviyeshɔnDi skwɛ rut fɔ varians; di nɔmal distans bitwin wan rizɔlt ɛn di valyu we fɔ ɛkspɛkt.Rid ɔl → na lɛk fayv. Wan sampul we gɛt wan tawzin spin nɔ go ebul fɔ sho di difrɛns we yu go biliv.

Ɔmɔs spin yu nid fɔ si pɔkit we gɛt bayas (80% pawa, wan-sayd 5%)spin
1 pan 20
≈ 500
1 pan 25
≈ 1,100
1 pan 30
≈ 4,400
1 pan 33
≈ 10,000
1 pan 35
≈ 70,000
spin
035000≈ 70,000
Di bayas we go pe (1/35 ɔ bɛtɛ) nid bɔku tɛn tawzin spin. Di wan dɛn we yu kin si insay wan tawzin spin big pas mak, ɛn dɛn nɔ go sev afta dɛn fiks di wil.

Di fɔmula

Fɔ wan wan-sayd tɛst pan wan pɔkit, na di 5% lɛvɛl wit 80% pawa, di n we yu nid na lɛk ((1.645·√(p₀(1−p₀)) + 0.84·√(p₁(1−p₁))) / (p₁ − p₀))², we p₀ = 1/37 ɛn p₁ na di ret we yu de sɔspɛkt. Dis de wok fɔ wan pɔkit we yu pik bifo yu bigin. If yu de luk ɔl 37 pɔkit fɔ fɛn di wan we ɔt pas ɔl, mɔltipay am bay lɛk tu ɔ tri tɛm, so dat di ret fɔ lay-lay pɔzitiv rizɔlt go de ɔnɛst.

Aw fɔ rid am fɔ tru

Wan ɔt nɔmbalay-lay tɔkƆt nɔmbaNɔmba we dɔn kam mɔ pas aw yu ɛkspɛkt nɔ te. Pan fɛr wil, i nɔ de tɛl yu natin bɔt wetin de kam.Rid ɔl → afta 300 spin na nɔys. Afta 3,000 spin, na rizin fɔ gɛda 3,000 mɔ frɔm di sem wil. Afta 30,000, i kin bi wil we fit fɔ mɛzhɔ wit tul. Ɛni bayas we pɔsin bin yuz insay istri, we dɛn rayt dɔn, bin bil pan bɔku tɛn tawzin spin we dɛn rayt, ɛn ɛni wan pan dɛn bin tek mɔnt dɛn.

spin we yu raytwetin yu kin tɔk wit ɔnɛsti
< 500natin bɔt ɛni pɔkit
1,000di chi-skwɛ tɛst kin rɔn; i de si na big big prɔblɛm nɔmɔ
5,000pɔkit we de kam 1/30 go pɔsibul sho; wan we de kam 1/35 nɔ go sho
20,000pɔkit we de kam 1/33 de sho klia; yu kin map di sɛkta dɛn
70,000+yu kin kɔnfam pɔkit we de kam 1/35 ɛn we de gi prɔfit
ɛni nɔmba, we yu mix frɔm difrɛn wilnatin; yu de tɛst wan mikshɔ

Ɔmɔs di data de kɔst

If na 50 spin pan awa, 10,000 spin na 200 awa fɔ rayt, ɔ bɔku wik fɔ kɔpi spin istri we dɛn dɔn pablish, frɔm wan wil edikwipmɛntWil edƆda nem fɔ rotɔ: di pat we de tɔn ɛn we kɛr di nɔmba dɛn.Rid ɔl → we yu no, we di kasino nɔ chenj ples ɔ fiks nyu pɔkit wɔl pan am insay da tɛm de. Na dis, nɔto di statistiks, mek bayas ple dɔn day: di tɛm fɔ fiks di wil shɔt pas di tɛm fɔ gɛda di data.

Fɔ rid spin istri we dɛn dɔn pablish

Ɔmɔs tɛm yu tɛst fɔ si di advantej insɛf

Di sem kɔnt de sho ɔmɔs tɛm i de tek pleya fɔ si di kasino advantejmatematiksKasino advantejDi pat pan ɛni bɛt mɔni we di kasino de kip pan avrej: 2.70% na Yuropian rulɛt.Rid ɔl → insay in yon rizɔlt: lɛk 1,400 ivin-mɔni spin fɔ wan sigma, ɛn 10,000 bifo di advantej klia so dat nɔbɔdi nɔ go dawt am. Ɛnibɔdi we se sistɛm de wok pan spin we smɔl pas dat, na nɔys i de ripɔt.

Fɔmula

n ≈ ((1.645·√(p₀(1−p₀)) + 0.84·√(p₁(1−p₁))) / (p₁ − p₀))²
σ(kɔnt) = √(n·p·(1−p))

Kwɛstyɔn dɛn

Shɔt rod de?

Fɔ tɛst sɛkta dɛnwilSɛktaPɔkit dɛn we de fala wan ɔda na wan pat fɔ di wil, nɔto grup na di bɛt tebul.Rid ɔl → insay pɔkit de ɛp, bikɔs prɔblɛm we yu kin tɔch kin afɛkt wan pat pan di wil, ɛn di signal de ad ɔp frɔm wan pɔkit to di ɔda wan. I nɔ de chenj ɔmɔs zero de pan di nɔmba.

A kin jɔyn data frɔm di sem wil pan difrɛn de?

Yɛs, if na di sem wil ed ɛn dɛn nɔ sɔvis am. Na dat yu go fɛn at fɔ no.

Wetin mek 80% pawa?

Na kɔstɔm. I min se rial bayas we big lɛk di wan we wi tɔk, go sho fɔ tɛm pan fayv.

Smɔl jok fɔ ɛz di maynd

Nɔys de go dɔn lɛk 1/√n. Peshɛns de go dɔn kwik pas dat.

Nɔys de go dɔn lɛk 1/√n. Peshɛns de go dɔn kwik pas dat.

Usay wi gɛt am frɔm

  1. Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1. Wiley, 3rd ed., 1968. Gambler’s ruin, chapta XIV.
  2. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1992.
wi chɛk am 2026-09-28mɔdɛl: Yuropian, wan ziromɛtɔdɔlɔji ↗usay wi gɛt am frɔm ↗