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 |
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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.
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 |