Roulette ka Math · Reference · 5 min

Roulette Odds aur Probability Table

Har standard bet, uski probability, payout, expected valueganitExpected valueLambe samay mein har bet ka ausat nateeja. Har standard European bet ke liye stake ka −1/37.Poora padhein → aur standard deviation ke saath.

Chhota jawab

Saari bets ki expected value ek hi hai, stake ka −2.70%. Fark sirf probability aur spread mein hai.

listed bets
9
EV, saari bets
−2.70%
σ ki range
1.00 se 5.84
call bets
yeh bhi 2.70%

Yeh roulette odds chart kaise padhein

ProbabilityganitProbabilityKisi outcome ka chance, 0 se 1 tak ya 0% se 100% tak. Ek number: 1/37 = 2.70%.Poora padhein → batati hai ki aap kitni baar jeetenge; payoutpaisaPayoutJeetne wala bet kya lautata hai, “X to 1” ke roop mein bataya jaata hai, wapas mile stake ke upar.Poora padhein →, jise roulette odds ke roop mein likha jaata hai, batata hai kitna; σ batata hai ki safar kitna uchhal-bhara hai. EV column banaawat se hi har row par ek jaisa hai, isliye yeh table asal mein fixed keemat par variancesganitVarianceYeh naap ki results expected value ke aas-paas kitna faile hue hain. Straight-up ke liye zyada, even-money bets ke liye kam.Poora padhein → ka menu hai.

betcover karti haip(jeet)payoutσ har $1 par
Straight-up1/372.70%35:15.84
Split2/375.41%17:14.09
Street3/378.11%11:13.28
Corner4/3710.81%8:12.84
Six line6/3716.22%5:12.23
Dozen12/3732.43%2:11.39
Column12/3732.43%2:11.39
Even money18/3748.65%1:11.00
Har row par EV har $1 par −$0.027 hai.

Call bets

SectorwheelSectorWheel par pockets ka lagatar ek hissa (arc), layout ke kisi group se alag cheez.Poora padhein → bets standard bets ke combinations hain aur unka edge virasat mein paati hain. Har ek ka payout ka apna roop hai kyunki chipspaisaChipEk fixed raqam ka token, jise bet lagane ke liye layout par rakha jaata hai. Doosra naam: check.Poora padhein → barabar nahi baante gaye.

call betchipscover karti haip(koi bhi hit)hit par net (units)EV har unit par
Neighbours (5)55/3713.51%+31−2.70%
Jeu zéro47/3718.92%+14 ya +32−2.70%
Orphelins58/3721.62%+13 ya +31−2.70%
Tiers du cylindre612/3732.43%+12−2.70%
Voisins du zéro917/3745.95%+9 ya +15−2.70%

Call Bets ki Expected Value

Kai spins mein

k spins mein kam se kam ek hit ki probabilities, kuch aam sawaalon ke liye.

bet10 spins mein37 spins mein100 spins mein
Straight-up24.0%63.7%93.5%
Split42.6%87.1%99.6%
Corner68.1%98.6%> 99.9%
Dozen98.0%> 99.9%> 99.9%
Zero (khaas)24.0%63.7%93.5%
1 − (1 − p)ᵏ.

Session ke spread

$10 flat par 100-spin session ka standard deviationganitStandard deviationVariance ka square root; expected value se kisi result ki aam doori.Poora padhein →, bet ke hisaab se, saajhe expected result −$27 ke saath.

$10 par 100 spins ka σ$
Straight-up
$584
Split
$409
Street
$328
Corner
$284
Six line
$223
Dozen / column
$139
Even money
$100
$
0292$584

Sawaal

Har row par EV ek jaisa kyun hai?

Kyunki har payout 36/n − 1 hai, jabki fair 37/n − 1 hota. House edgeganitHouse edgeHar stake ka woh hissa jo casino average mein rakh leta hai: European roulette mein 2.70%.Poora padhein → wala page dekhiye.

La partage kahan hai?

French table par even-money betsbetEven-money betRed/black, odd/even, high/low. 18 numbers, payout 1:1.Poora padhein →: p aur payout wahi, EV −1.35%, σ ≈ 0.99.

Kya American wheel ke liye bhi table hai?

37 ki jagah 38 se bhaag dijiye aur EV column har row par −5.26% ho jaata hai, five-number bet ke liye −7.89%.

Thodi hansi

Nau bets, ek expected value, koi yaaddaasht nahi.

Nau bets, ek expected value, koi yaaddaasht nahi.

Sources

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chapter 13, roulette.
2026-09-28 ko review kiyamodel: European, single zero walamethodology ↗sources ↗