Single-column probability is 32.43% on the European wheel and 31.58% on the American wheel. The payout is always 2 to 1. The math below explains exactly why the house keeps 2.70% on one wheel and 5.26% on the other.

The probability calculation

A column covers 12 numbers out of the wheel's total pocket count. The wheel pocket count is the entire denominator - the zeros are not excluded, because if the ball lands on zero, you lose your column bet.

  • European wheel: 12 / 37 = 32.4324%
  • American wheel: 12 / 38 = 31.5789%

That two-thirds-of-a-percent probability gap between the wheels - 0.85 percentage points - is the entire difference between a 2.70% and a 5.26% house edge. The American 00 nearly doubles the cost of every spin.

The payout calculation

A column bet pays 2 to 1, meaning a winning $10 wager returns $20 in profit. Your original $10 stake also stays on the felt; total return is $30. This payout is identical on European, American, and live-dealer wheels.

winning_return= stake × (2 + 1)= stake × 3

If the column loses, the dealer sweeps your chips and you lose the entire wagered amount.

Expected value and house edge

Expected value (EV) per dollar wagered on a European column:

EV= 0.3243 × (+$2) + 0.6757 × (−$1)= +$0.6486 − $0.6757= −$0.0270

You lose 2.70 cents per dollar wagered on average. Multiply by 38 instead of 37 pockets and the American EV drops to −$0.0526 per dollar - the canonical 5.26% house edge.

Comparison to other 2:1 bets

The dozen bet - 1 through 12, 13 through 24, or 25 through 36 - covers exactly 12 numbers and pays exactly 2 to 1. Probability is identical to the column on both wheel types. Read the comparison in Dozen vs Column.

Six-line (or "double street") inside bets pay 5 to 1 across 6 numbers - a different payout/probability profile, but mathematically equivalent house edge.

True odds vs paid odds

Fair "true odds" for a 12 / 37 outcome would pay 25 : 12, or about 2.083 : 1. The casino pays 2 : 1 instead. That gap - the missing 0.083 - is where the house edge lives.

On the American wheel, true odds are 26 : 12, or 2.167 : 1. The casino still pays 2 : 1. The bigger gap is why the American house edge is twice the European.

Quick-reference odds table

WheelPocketsHit ProbabilityPayoutTrue OddsHouse Edge
European (single zero)3732.43%2 : 12.083 : 12.70%
American (0 & 00)3831.58%2 : 12.167 : 15.26%

What this means for your bankroll

At a $10 base unit on a European column, plan to lose roughly $0.27 per spin in expectation. Over a 100-spin session, that's $27 of expected loss - but the variance band is roughly ±$60 one standard deviation. Most short sessions end up or down by $30–$60. Long sessions converge toward the expected loss.

For a structured approach to managing that bankroll, see Low-Risk Column Grind and run the Probability calculator for your own stake size.


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Every system on this site is educational. None eliminate the house edge. Set a loss cap and a time cap before every session.

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