Ow big di sample size fi be
Ow much spin yuh need bifo a pattern mean anyting.
Fi spot a pocket weh hit 1 outta 30 instead a 1 outta 37, wid fair confidence, it tek roun 4,400 spin. A 1-outta-35 pocket, di kind weh woulda really pay, tek bout 70,000.
Wah mek suh much
Di signal, a few extra hit fi evry tousand spin, small next to di binomial noise a √(n·p·(1−p)) ≈ √(n/37). Noise drop like 1/√n, suh fi cut di uncertainty inna half, yuh haffi pay four time di spin. A pocketgearPocketOne a di 37 compartment wid numba pon di rotor. Nex name: slot, cup.Read di whole ting → at 1/30 gi 33 hit pon a tousand, when yuh expec 27: six extra hit, wid a standard deviationmathsStandard deviationDi square root a variance; ow far a result usually deh fram di expected value.Read di whole ting → a bout five. One sample a a tousand cyaan tell dem two apart fi sure.
Di formula
Fi a one-sided test a one pocket at di 5% level wid 80% power, di n yuh need roun ((1.645·√(p₀(1−p₀)) + 0.84·√(p₁(1−p₁))) / (p₁ − p₀))², wid p₀ = 1/37 an p₁ di rate yuh suspec. Dat hold fi one pocket yuh pick fram bifo. If yuh a scan all 37 pocket fi find di hottest one, multiply by roun two to tree fi keep di false-positive rate honest.
Ow fi read it inna real life
A hot numbamyth demHot numbaA numba weh come up more dan expected lately. Pon a fair wheel it nuh predict nutten.Read di whole ting → afta 300 spin a noise. Afta 3,000 it a reason fi collect 3,000 more fram di same wheel. Afta 30,000 it might be a wheel weh worth measurin physically. Evry bias exploit weh history write dung did build pon tens a tousands a spin weh smaddy record, an evry one a dem tek months.
Wah di data cost
At 50 spin a hour, 10,000 spin a 200 hour a recordin, or nuff week a copyin publish history, fram one wheel headgearWheel headNex name fi rotor: di part weh spin an carry di numba dem.Read di whole ting → weh yuh know fi sure, weh di casino neva turn roun or re-fret inna di meantime. Dis, nuh di statistics, a wah mek bias play dead: di maintenance cycle shorter dan di data-collection cycle.
Sample size fi di edge itself
Di same arithmetic tell yuh ow long it tek fi a playa see di house edgemathsHouse edgeDi part a evry stake weh di casino keep pon average: 2.70% inna European roulette.Read di whole ting → inna fi dem own result: roun 1,400 even-money spin fi one sigma, 10,000 fi di edge show plain. Anybaddy weh claim seh a system work pon less spin dan dat a report noise.
Formula
Question dem
Fi test sectorpon di wheelSectorA piece a di wheel weh di pocket dem follow one anodda roun di arc, nuh a group pon di betting layout.Read di whole ting → instead a pocket help, cause a physical defect usually affec a arc an di signal add up cross di pocket dem. It nuh change di order a magnitude.
Yes, if a di same wheel head an nobaddy neva service it. Dat a di hard part fi know.
Convention. It mean seh a real bias a di size weh wi state woulda get catch four time outta five.
Sumting fi laugh
Noise drop like 1/√n. Patience drop fasta.
Source dem
- Feller, W. An Introduction to Probability Theory and Its Applications, Vol. 1.
- Barnhart, R. T. Beating the Wheel.