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
Famous quotes containing the words bet, odds and/or table:
“I didnt realize you were an art collector. I thought you just collected corpses. Ill bet you paid plenty for this little piece of sculpture. Shes worth every dollar of it, take it from me. She puts her heart into her work, in fact, her whole body.”
—Ernest Lehman (b. 1920)
“Macbeth. What is the night?
Lady Macbeth. Almost at odds with morning, which is which.”
—William Shakespeare (15641616)
“But hospitality must be for service, and not for show, or it pulls down the host. The brave soul rates itself too high to value itself by the splendor of its table and draperies. It gives what it hath, and all it hath, but its own majesty can lend a better grace to bannocks and fair water than belong to city feasts.”
—Ralph Waldo Emerson (18031882)