Bet odds table (American Roulette)
(in addition to the mentioned payout the bet is returned)
Bet name |
Winning spaces |
Payout |
Odds of winning (against) |
Expected value (on a $1 bet) |
0 |
0 |
35 to 1 |
37 to 1 |
-$0.053 |
00 |
00 |
35 to 1 |
37 to 1 |
-$0.053 |
1 |
1 |
35 to 1 |
37 to 1 |
-$0.053 |
2 |
2 |
35 to 1 |
37 to 1 |
-$0.053 |
... |
... |
... |
... |
... |
36 |
36 |
35 to 1 |
37 to 1 |
-$0.053 |
Row 00 |
0, 00 |
17 to 1 |
18 to 1 |
-$0.053 |
Row 3 |
1, 2, 3 |
11 to 1 |
11.667 to 1 |
-$0.053 |
Row 6 |
4, 5, 6 |
11 to 1 |
11.667 to 1 |
-$0.053 |
Row 9 |
7, 8, 9 |
11 to 1 |
11.667 to 1 |
-$0.053 |
... |
... |
... |
... |
... |
Row 12 |
34, 35, 36 |
11 to 1 |
11.667 to 1 |
-$0.053 |
Column 1 |
1, 4, 7, ..., 34 |
2 to 1 |
2.167 to 1 |
-$0.053 |
Column 2 |
2, 5, 8, ..., 35 |
2 to 1 |
2.167 to 1 |
-$0.053 |
Column 3 |
3, 6, 9, ..., 36 |
2 to 1 |
2.167 to 1 |
-$0.053 |
First 12 |
1, 2, 3, ..., 12 |
2 to 1 |
2.167 to 1 |
-$0.053 |
Middle 12 |
13, 14, 15, ..., 24 |
2 to 1 |
2.167 to 1 |
-$0.053 |
Last 12 |
25, 26, 27, ..., 36 |
2 to 1 |
2.167 to 1 |
-$0.053 |
Odd |
1, 3, 5, ..., 35 |
1 to 1 |
1.111 to 1 |
-$0.053 |
Even |
2, 4, 6, ..., 36 |
1 to 1 |
1.111 to 1 |
-$0.053 |
Red |
1, 3, 5, 7, 9, 12, 14, 16, 18, 19, 21, 23, 25, 27, 30, 32, 34, 36 |
1 to 1 |
1.111 to 1 |
-$0.053 |
Black |
2, 4, 6, 8, 10, 11, 13, 15, 17, 20, 22, 24, 26, 28, 29, 31, 33, 35 |
1 to 1 |
1.111 to 1 |
-$0.053 |
1 to 18 |
1, 2, 3, ..., 18 |
1 to 1 |
1.111 to 1 |
-$0.053 |
19 to 36 |
19, 20, 21, ..., 36 |
1 to 1 |
1.111 to 1 |
-$0.053 |
five number bet |
0, 00, 1, 2, 3 |
6 to 1 |
6.6 to 1 |
-$0.079 |
Note also that 0 and 00 are neither odd nor even in this game.
Description of bets
House Edge
The house average or house edge (also called the expected value) is the amount the player loses relative to a bet, on average. If a player bets on a single number in the American game there is a probability of 1/38 that the player receives 36 times the bet (35 times the bet plus the return of the bet itself), so the player ends up, on average, losing 5.26% on each bet:
( (probability * payout) / bet ) - 1 = expected value as fraction of bet
For example, betting $10 on a single number on an American wheel:
( ((1/38) * 360) / 10 ) - 1 = -0.0526
For European roulette: ( ((1/37) * 360) / 10 ) - 1 = -0.02703
The house has the same edge on all of the other kinds of bets, except for the five number bet where the house edge is considerably higher (7.89% on an American wheel).
The house edge should not be confused with the hold. The hold is the total amount that the house wins from a player. While the house might have an edge of 5.26%, if a player keeps playing until his or her bankroll is exhausted, the house will enjoy a hold of 100%.
From Wikipedia's
Roulette Resources: