Roulette Edge with Martingale

A coin toss is a "fair" game where neither the online casino nor the house has an edge. Here are the odds against various runs of a given bet (heads or tails) coming up in a fair (50-50) game:

Consecutive Hits Probability Odds Against (or For)
1 1 in 2 1 to 1
2 1 in 4 3 to 1
3 1 in 8 7 to 1
4 1 in 16 15 to 1
5 1 in 32 31 to 1
6 1 in 64 63 to 1
7 1 in 128 127 to 1
8 1 in 256 255 to 1
9 1 in 512 511 to 1
10 1 in 1,024 1,011 to 1
Roulette Edge with Martingale

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Even Money Bets

However, with roulette, there are no true "even-money" bets. There are several bets that pay even-money, but the true odds are not 50- 50 as in the coin toss. Let's take a look at "even-money" bets on both zero and double zero wheels.

On a double-zero wheel, an "even-money" bet wins 18 times but loses 20 times. On a single-zero wheel, this wager wins 18 times but loses 19 times. Thus your odds of winning on a double-zero wheel are not 1 to 2 as with a coin toss, but 1 to 2.11. Since the house pays off a dollar for a win rather than $1.11, it keeps 11 cents for itself as the house edge or casino "vig." This gives the casino a 5.26% edge over "even-money" bets in the long-run.

Even Money Bets Roulette

On a single-zero wheel, the odds are 2.0556 (rounded up to 2.056) which works out to be a 2.70 percent house edge for long-term play.

The table below shows the odds against consecutive hits of even money bets on each type of roulette wheel.

Consecutive Hits Double Zero Wheel Single Zero Wheel
Probability Odds Probability Odds
1 1 in 2.11 1.11 to 1 1 in 2.06 1.06 to 1
2 1 in 4.45 3.45 to 1 1 in 4.22 3.22 to 1
3 1 in 9.39 8.39 to 1 1 in 8.68 7.68 to 1
4 1 in 19.82 18.82 to 1 1 in 17.83  to 116.83
5 1 in 41.82 40.82 to 1 1 in 36.65  to 135.65
6 1 in 88.24 87.24 to 1 1 in 75.31  to 174.31
7 1 in 186.20 185.20 to 1 1 in 154.77  to 1153.77
8 1 in 392.88 391.88 to 1 1 in 318.05  to 1317.05
9 1 in 828.98 827.98 to 1 1 in 653.59  to 1652.59
10 1 in 1'749.14 1,748.14 to 1 1 in 1,343.13  to 11,342.13