Board depiction (American Roulette)
| 0 | ↔ | 00 | |||
| 1- 18 |
1st 12 |
1 | 2 | 3 | ← |
| 4 | 5 | 6 | ← | ||
| odd | 7 | 8 | 9 | ← | |
| 10 | 11 | 12 | ← | ||
| red | 2nd 12 |
13 | 14 | 15 | ← |
| 16 | 17 | 18 | ← | ||
| blk | 19 | 20 | 21 | ← | |
| 22 | 23 | 24 | ← | ||
| even | 3rd 12 |
25 | 26 | 27 | ← |
| 28 | 29 | 30 | ← | ||
| 19- 36 |
31 | 32 | 33 | ← | |
| 34 | 35 | 36 | ← | ||
| ↑ | ↑ | ↑ | |||
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 36 | 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.
House Edge
The house average or house edge 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
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%.
This guide is licensed under the GNU Free Documentation License. It uses material from the Wikipedia.
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