Bet Odds Table
The payout, for American and European roulette, can be calculated by:
where n is the number of squares the player is betting on. The initial bet is returned in addition to the mentioned payout. It can be easily demonstrated that this payout formula would lead to a zero expected value of profit if the numbers were only 36. Being the numbers 37 or 38 gives casino its edge.
| Bet name | Winning spaces | Payout | Odds against winning (French) | Expected value (on a $1 bet) (French) |
Odds against winning (American) | Expected value (on a $1 bet) (American) |
|---|---|---|---|---|---|---|
| 0 | 0 | 35 to 1 | −0.027 $ | 37 to 1 | −0.053 $ | |
| 00 | 00 | 35 to 1 | - | 37 to 1 | −0.053 $ | |
| Straight up | Any single number | 35 to 1 | −0.027 $ | 37 to 1 | −0.053 $ | |
| Row 00 | 0, 00 | 17 to 1 | - | 18 to 1 | −0.053 $ | |
| Split | any two adjoining numbers vertical or horizontal | 17 to 1 | −0.027 $ | 18 to 1 | −0.053 $ | |
| Basket | 0, 1, 2 or 00, 2, 3 or 0, 00, 2 | 11 to 1 | −0.027 $ | 11.667 to 1 | −0.053 $ | |
| Street | any three numbers horizontal (1, 2, 3 or 4, 5, 6, etc.) | 11 to 1 | −0.027 $ | 11.667 to 1 | −0.053 $ | |
| Corner | any four adjoining numbers in a block (1, 2, 4, 5 or 17, 18, 20, 21, etc.) | 8 to 1 | −0.027 $ | 8.5 to 1 | −0.053 $ | |
| Top line | 0, 00, 1, 2, 3 | 6 to 1 | - | 6.6 to 1 | −0.079 $ | |
| Six line | any six numbers from two horizontal rows (1, 2, 3, 4, 5, 6 or 28, 29, 30, 31, 32, 33 etc.) | 5 to 1 | −0.027 $ | 5.33 to 1 | −0.053 $ | |
| 1st column | 1, 4, 7, 10, 13, 16, 19, 22, 25, 28, 31, 34 | 2 to 1 | −0.027 $ | 2.167 to 1 | −0.053 $ | |
| 2nd column | 2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35 | 2 to 1 | −0.027 $ | 2.167 to 1 | −0.053 $ | |
| 3rd column | 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36 | 2 to 1 | −0.027 $ | 2.167 to 1 | −0.053 $ | |
| 1st dozen | 1 through 12 | 2 to 1 | −0.027 $ | 2.167 to 1 | −0.053 $ | |
| 2nd dozen | 13 through 24 | 2 to 1 | −0.027 $ | 2.167 to 1 | −0.053 $ | |
| 3rd dozen | 25 through 36 | 2 to 1 | −0.027 $ | 2.167 to 1 | −0.053 $ | |
| Odd | 1, 3, 5, ..., 35 | 1 to 1 | −0.027 $ | 1.111 to 1 | −0.053 $ | |
| Even | 2, 4, 6, ..., 36 | 1 to 1 | −0.027 $ | 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 | −0.027 $ | 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 | −0.027 $ | 1.111 to 1 | −0.053 $ | |
| 1 to 18 | 1, 2, 3, ..., 18 | 1 to 1 | −0.027 $ | 1.111 to 1 | −0.053 $ | |
| 19 to 36 | 19, 20, 21, ..., 36 | 1 to 1 | −0.027 $ | 1.111 to 1 | −0.053 $ |
Note that Top line (0, 00, 1, 2, 3) has a different expected value because of approximation of the correct 6.2 payout obtained by the formula to 6. Note also that 0 and 00 are neither odd nor even in this game. En prison rules alter the game making it more favourable to player.
Read more about this topic: Roulette
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