Roulette Lab · Lab · Method · 7 min

Sector Analysis

Physical defects pados ke pockets par ek saath asar daalte hain, isliye sirf single numbers nahi, wheel ke arcs test kijiye.

Chhota jawab

37 pockets ko lagatar sectors mein group kijiye aur har sector mein observed hits ko expectation se compare kijiye. Asli bias aksar independent samples mein ek ya do pados ke sectors ke garam chalne ke roop mein dikhta hai.

typical sectors
6–7 ke 6 arcs
statistic
har sector ka z
confirm
doosra sample
kyun
defects physical hain, physical local hota hai

Method

Wheel ko lagatar sectorswheelSectorWheel par pockets ka lagatar ek hissa (arc), layout ke kisi group se alag cheez.Poora padhein → mein baantiye, aksar chhe ya saat pocketssaamanPocketRotor ke 37 numbered khaanon mein se ek. Doosre naam: slot, cup.Poora padhein → ke chhe arcs, layoutsaamanLayoutTable par chhapa betting grid. Doosre naam: table, felt, cloth.Poora padhein → nahi balki wheel order follow karte hue. k pockets wale har sector ke liye expected hits n·k/37 hain aur standard deviationganitStandard deviationVariance ka square root; expected value se kisi result ki aam doori.Poora padhein → √(n·p·(1−p)) hai, jahan p = k/37. Har sector ke liye z = (observed − expected)/σ calculate kijiye. +2 se upar wala sector dobara dekhne layak hai; do independent samples mein +3 se upar interesting hai.

sector (wheel order)pocketsk3,000 spins mein expectedσ
A0 32 15 19 4 21648620.2
B2 25 17 34 6 27648620.2
C13 36 11 30 8 23648620.2
D10 5 24 16 33 1648620.2
E20 14 31 9 22 18648620.2
F29 7 28 12 35 3 26756821.5
Ek common partition. Data dekhne se pehle ise tay kijiye; baad mein boundaries khiskana multiple-comparisons problem hai.

Roulette Wheel

Sectors kyun

Single-pocket tests mein false positive aane ke 37 mauke hote hain aur har ek mein signal kamzor hota hai. Sector tests mein chhe mauke hote hain aur signal pados ke pockets mein jud jaata hai. Yeh physics se bhi match karte hain: tilted rotorsaamanRotorWheel ka ghoomne wala hissa jismein pockets hote hain.Poora padhein → ballsaamanBallChhoti ball jo rotor ki ulti disha mein track par chhodi jaati hai. Aaj ki balls ivorine ya Teflon ki hoti hain, 18–21 mm.Poora padhein → ko neeche wali taraf zyada giraata hai, jo ek arc ko favour karta hai; dheela ya muda hua fretsaamanFretWheel par do pockets ke beech ka metal divider.Poora padhein → uske bagal ke pockets ka bounce badal deta hai; ghisa hua ball tracksaamanBall trackRim ki woh groove jismein ball dheemi hokar girne se pehle ghoomti hai. Doosra naam: upper track.Poora padhein → ek drop zone banata hai jo drop ke waqt uske neeche ke pockets ko favour karta hai, jo dheere badalti rotor speed ke saath ek chaude arc par phail jaata hai. Inme se koi bhi defect akele ek pocket ko favour nahi karta.

Sector hits, 3,000 spins (simulated, fair wheel par)z score
A
+0.4
B
−1.1
C
+1.6
D
−0.3
E
+0.8
F
−1.4
z score
01.503
Bar ki lambai 3 ki ceiling ke muqable |z| dikhati hai. Sab noise ke andar. Asli sector bias do alag samples mein ek bar ko 3 se upar dikhata.

Roulette Rotor ki SpeedRoulette Wheel ki Physics

Rolling sectors

Fixed boundaries ek garam arc ko do sectors mein baant kar use patla kar sakti hain. Ek complementary tarika k pockets ki ek window ko wheel ke chaaron taraf khiskata hai, 37 positions mein se har ek par z calculate karta hai, aur maximum dhoondhta hai. Fairness mein 37 correlated z-scores ka maximum aksar 2.2 se 2.5 ke aas-paas hota hai, isliye 2.5 se kam ka rolling-window maximum noise hai aur interest ki threshold bhi utni hi oonchi hai, lagbhag 3.5.

Sector se bet tak

Agar koi sector garam confirm ho jaaye, toh natural bet uske center par neighboursbetNeighborsWheel par ek number aur uske dono taraf ke do-do pockets, paanch straight-up chips.Poora padhein → hai ya uske across haath se rakhe gaye straight upsbetStraight-upEk single number, payout 35:1.Poora padhein → ka set. Profitability test sector hit rate vs payoutpaisaPayoutJeetne wala bet kya lautata hai, “X to 1” ke roop mein bataya jaata hai, wapas mile stake ke upar.Poora padhein → hai: chhe-pocket sector ko chhe straight-up chipspaisaChipEk fixed raqam ka token, jise bet lagane ke liye layout par rakha jaata hai. Doosra naam: check.Poora padhein → ke break even ke liye 6/36 = 16.7% se zyada baar hit karna chahiye (observed, replicated), jabki fair 16.2% hai. Margin aadha percentage point hai, isiliye ise confirm karne mein das-hazaaron spins lagte hain.

Sample Size

Analyzer

Is site ka Wheel Bias Analyzer spins ki list leta hai, chi-square calculate karta hai, aur wheel ko sector z-scores ke saath heat map ki tarah dikhata hai, upar wala partition default ke roop mein. Yeh aapka data shuffle karke bhi dikhata hai ki fairness mein yahi statistics kaise dikhte hain, jo patterns dekhne ki aadat ka sabse tez ilaaj hai.

Chi-Square Test

Formula

E(sector) = n·k/37
σ = √(n·p·(1−p)), p = k/37
z = (O − E)/σ

Sawaal

Mujhe kitne sectors use karne chahiye?

Chhe standard hai. Kam se resolution ghatta hai; zyada se power. Pehle se tay kijiye.

Agar do pados ke sectors dono high hon toh?

Unhe mila dijiye aur combined arc ka z calculate kijiye. Asli defect aksar boundary ke dono taraf hota hai.

Kya layout matter karta hai?

Nahi. Sectors wheel ke arcs hain. DozensbetDozen1–12, 13–24 ya 25–36, payout 2:1.Poora padhein → aur columnsbetColumnLayout ke ek vertical column ke barah numbers, payout 2:1.Poora padhein → sectors nahi hain.

Thodi hansi

Defects physical hain. Physical local hota hai. Arcs test kijiye.

Defects physical hain. Physical local hota hai. Arcs test kijiye.

Sources

  1. Barnhart, R. T. Beating the Wheel. Lyle Stuart, 1983.
  2. Pearson, K. “On the criterion that a given system of deviations from the probable…” Philosophical Magazine 50(302), 1900.
2026-09-28 ko review kiyamodel: European, single zero walamethodology ↗sources ↗