Roulette maths · Reference · 5 minute

Table a di odds an probability inna roulette

Evry standard bet wid it probability, payout, expected valuemathsExpected valueDi average result pon evry bet inna di long run. −1/37 a di stake fi evry standard European bet.Read di whole ting → an standard deviation.

Short ansa

All di bet dem have di same expected value, −2.70% a di stake. Di only difference a di probability an di spread.

bet pon di list
9
EV, all bet
−2.70%
σ range
1.00 to 5.84
call bet
2.70% too

Ow fi read dis roulette odds chart

ProbabilitymathsProbabilityDi chance fi a result, fram 0 to 1 or 0% to 100%. One numba: 1/37 = 2.70%.Read di whole ting → tell yuh ow often yuh win; di payoutmoney mattaPayoutWah a bet weh win gi yuh back, weh dem quote as “X to 1” on top a di stake weh come back.Read di whole ting →, weh people call di roulette odds, tell yuh ow much; σ tell yuh ow rough di ride go be. Di EV column a di same pon evry row by design, suh di table a really a menu a variancemathsVarianceA measure a ow wide di result dem spread roun di expected value. High fi straight up, low fi even-money bet.Read di whole ting → at one fix price.

betcoverp(win)payσ fi evry $1
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
EV a −$0.027 fi evry $1 pon evry row.

Call bet

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 → bet a mix a standard bet, an dem carry di same edge. Each one have it own payout shape cause di chipmoney mattaChipA token weh stand fi a fix amount, weh yuh put pon di betting layout fi mek a bet. Nex name: check.Read di whole ting → dem nuh spread out even.

call betchipcoverp(any hit)net pon a hit (unit)EV fi evry unit
Neighbour dem (5)55/3713.51%+31−2.70%
Jeu zéro47/3718.92%+14 or +32−2.70%
Orphelins58/3721.62%+13 or +31−2.70%
Tiers du cylindre612/3732.43%+12−2.70%
Voisins du zéro917/3745.95%+9 or +15−2.70%

Expected value a di call bet dem

Ova nuff spin

Di probability fi get at least one hit inna k spin, fi a few question weh people ask nuff.

betinna 10 spininna 37 spininna 100 spin
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 (dat one alone)24.0%63.7%93.5%
1 − (1 − p)ᵏ.

Di spread a a session

Di standard deviationmathsStandard deviationDi square root a variance; ow far a result usually deh fram di expected value.Read di whole ting → a a 100-spin session at $10 flat, bet by bet, wid di same expected result fi all a dem: −$27.

σ a 100 spin at $10$
Straight up
$584
Split
$409
Street
$328
Corner
$284
Six line
$223
Dozen / column
$139
Even money
$100
$
0292$584

Question dem

Wah mek di EV a di same pon evry row?

Cause evry payout a 36/n − 1 gainst a fair 37/n − 1. Look pon di house edgemathsHouse edgeDi part a evry stake weh di casino keep pon average: 2.70% inna European roulette.Read di whole ting → page.

Weh la partage deh?

Even-money betbet demEven-money betRed/black, odd/even, high/low. 18 numba, pay 1:1.Read di whole ting → pon a French table: p an payout nuh change, EV −1.35%, σ ≈ 0.99.

Unu have a table fi di American wheel?

Divide by 38 instead a 37 an di EV column tun −5.26% pon evry row, −7.89% fi di five-numba bet.

Sumting fi laugh

Nine bet, one expected value, an nuh memory.

Nine bet, one expected value, an nuh memory.

Source dem

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chapta 13, roulette.
wi check it 2026-09-28model: European wheel, single zeroow wi work it out ↗source dem ↗