Roulette: Bet odds table (American Roulette)

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Bet odds table (American Roulette)

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

  • Straight: a single number. The chip is placed entirely on this square and no other.
  • Split: a bet on two adjoining numbers, either on the vertical or horizontal (as in 14-17 or 8-9). The chip is placed on the edge between these numbers.
  • Street: a bet on three numbers on a single horizontal line. The chip is placed on the edge of the number at the left or the right, depending on the layout.
  • Corner (or square): a bet on four numbers in a square layout (as in 11-12-14-15). The chip is placed at the horizontal and vertical intersection of these numbers.
  • Sixline (or 'sixaine'): a bet on two adjoining streets, with the chip placed at the corresponding intersection (as in 25-30).
  • Column: a bet on all 12 numbers on any of the three vertical lines (such as 1-4-7-10 on down to 34). The chip is placed on the space below the final number in this string.

 

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

 

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