## Wizard Endorsed Internet Casinos

Sic Bo, meaning "dice pair" is an ancient Chinese gambling game. It is very popular in Macau, in my estimation second to baccarat only. In the United States is often found in the Asian gaming rooms, especially in Atlantic City. The large Las Vegas properties will usually have one table in the general casino.

The game uses three dice and a table with a variety of betting options on the roll of those dice. The odds and table layout may also vary from place to place. However, the payoffs are the same across Atlantic City and Macau, but different from each other. In Vegas and on the Internet casionos, anything is possible.

Image take from the Claridge Hotel/Casino rule book. Click on the image to see the rules on the next page.

**Small**: Wins on total of 4-10, except for a three of a kind. Probability of winning is 48.61%. Pays 1 to 1. House edge is 2.78%.**Big**: Wins on total of 11-17, except for a three of a kind. Probability of winning is 48.61%. Pays 1 to 1. House edge is 2.78%.**Total of 4 and 17**: Pays 50 to 1 in Macau, 60 to 1 in Atlantic City, and 62 to 1 in Australia.### House Edge for 4 and 17 Bets

Pays Probability Return 50 1.39% 29.17% 51 1.39% 27.78% 52 1.39% 26.39% 53 1.39% 25.00% 54 1.39% 23.61% 55 1.39% 22.22% 56 1.39% 20.83% 57 1.39% 19.44% 58 1.39% 18.06% 59 1.39% 16.67% 60 1.39% 15.28% 61 1.39% 13.89% 62 1.39% 12.5% 63 1.39% 11.11% 64 1.39% 9.72% 65 1.39% 8.33% **Total of 5 and 16**: Pays 18 to 1 in Macau, 30 to 1 in Atlantic City, and 31 to 1 in Australia.### House Edge for 5 and 16 Bets

Pays Probability Return 18 2.78% 47.22% 19 2.78% 44.44% 20 2.78% 41.67% 21 2.78% 38.89% 22 2.78% 36.11% 23 2.78% 33.33% 24 2.78% 30.56% 25 2.78% 27.78% 26 2.78% 25.00% 27 2.78% 22.22% 28 2.78% 19.44% 29 2.78% 16.67% 30 2.78% 13.89% 31 2.78% 11.11% 32 2.78% 8.33% **Total of 6 and 15**: Pays 14 to 1 in Macau, 17 to 1 in Atlantic City, and 18 to 1 in Australia.### House Edge for 6 and 15 Bets

Pays Probability Return 14 4.63% 30.56% 15 4.63% 25.93% 16 4.63% 21.3% 17 4.63% 16.67% 18 4.63% 12.04% 19 4.63% 7.41% **Total of 7 and 14**: Pays 12 to 1 everywhere.### House Edge for 7 and 14 Bets

Pays Probability Return 10 6.94% 23.61% 11 6.94% 16.67% 12 6.94% 9.72% **Total of 8 and 13**: Pays 8 to 1 everywhere.### House Edge for 8 and 13 Bets

Pays Probability Return 7 9.72% 22.22% 8 9.72% 12.50% **Total of 9 and 12**: Pays 6 to 1 in Macau and Atlantic City. Pays 7 to 1 in Australia.### House Edge for 9 and 12 Bets

Pays Probability Return 6 11.57% 18.98% 7 11.57% 7.41% **Total of 10 and 11**: Pays 6 to 1 everywhere. House edge of 12.50%.**Double**: Bet on any specific pair (for example two 1's). Player wins if at least 2 of the number chosen appears. Pays 8 to 1 in Macau, 10 to 1 in Atlantic City, and 11 to 1 in Australia.### House Edge for Double Bets

Pays Probability Return 8 7.41% 33.33% 9 7.41% 25.93% 10 7.41% 18.52% 11 7.41% 11.11% **Triple**: Player may bet on any specific trips (for example three 1's). Player wins if all 3 dice match the number chosen. Pays 150 to 1 in Macau and 180 to 1 in Atlantic City.### House Edge for Triple Bets

Pays Probability Return 150 0.46% 30.09% 155 0.46% 27.78% 160 0.46% 25.46% 165 0.46% 23.15% 170 0.46% 20.83% 175 0.46% 18.52% 180 0.46% 16.20% 185 0.46% 13.89% 190 0.46% 11.57% **Any Triple**: Wins on any three of a kind. Pays 24 to 1 in Macau and 30 to 1 in Atlantic City.### House Edge for Any Triple Bet

Pays Probability Return 24 2.78% 30.56% 25 2.78% 27.78% 26 2.78% 25.00% 27 2.78% 22.22% 28 2.78% 19.44% 29 2.78% 16.67% 30 2.78% 13.89% 31 2.78% 11.11% 32 2.78% 8.33% **Any One Number**: Bet on any specific number from 1 to 6. If chosen number appears 1 time bet pays 1 to 1, if it appears 2 times bet pays 2 to 1, and if it appears 3 times it pays 3 to 1 (in Atlantic City and Macau). Probability of 1 match is 34.72%, 2 matches is 6.94%, 3 matches is 0.46%. House edge of 7.87% (in Atlantic City and Macau). In Australia three matches pays 12 to 1, for a house edge of 3.70%.**Odd**: Wins on any odd total, except loses with any three of a kind. This bet I have only seen in Macau, never in the United States. Probability of winning is 48.61% and house edge is 2.78%.**Even**: Wins on any even total, except loses with any three of a kind. This bet I have only seen in Macau, never in the United States. Probability of winning is 48.61% and house edge is 2.78%.**xyz**: I don't know the correct title of this bet, so made up my own. The player chooses a three-number combination, using three unique numbers, for example 1-3-5. The bet pays 30 to 1 if all three are rolled. Probability of winning is 2.78% and house edge is 13.89%. I am aware of only Macau offering this bet.**xxy**: Again, I don't know the correct title of this bet, so made up my own. The player chooses a three-number combination, using two unique numbers, and specifying which will be rolled twice. For example 2-2-4. The bet pays 50 to 1 if the roll matches exactly. So, in this example, 2-4-4 and 2-4-5 would lose. Probability of winning is 1.39% and house edge is 29.17%. I am aware only of Macau offering this bet.**wxyz**: Once again, my own title. The player chooses a four-number combination, using four unique numbers. for example 1-3-4-6. The bet pays 7 to 1 if the roll matches three of the chosen numbers. In my example, 1-3-4, 1-3-6, 1-4-6, and 3-4-6 would be the only winners. Probability of winning is 11.11% and house edge is also 11.11%. I am aware of Macau only offering this bet.**xy**: Hopefully, you get how I'm naming these bets. The player chooses a two-number combination, using two unique numbers. For example 2-5. The bet pays 5 to 1 if the roll contains both numbers. For example a bet on 2-5 would win on a rolls of 1-2-5, 2-2-5, 2-3-5, 2-4-5, 2-5-5, and 2-5-6. Probability of winning is 13.89% and house edge is 16.67%.

Following are tables summarizing each bet under the Atlantic City and Macau rules.

### Sic Bo — Atlantic City Rules

Bet | Pays | Winning Combinations |
Probability | Return |
---|---|---|---|---|

Small, Big | 1 | 105 | 0.486111 | -0.027778 |

4, 17 | 60 | 3 | 0.013889 | -0.152778 |

5, 16 | 30 | 6 | 0.027778 | -0.138889 |

6, 15 | 17 | 10 | 0.046296 | -0.166667 |

7, 14 | 12 | 15 | 0.069444 | -0.097222 |

8, 13 | 8 | 21 | 0.097222 | -0.125 |

9, 12 | 6 | 25 | 0.115741 | -0.189815 |

10, 11 | 6 | 27 | 0.125000 | -0.125000 |

Triple | 180 | 1 | 0.004630 | -0.162037 |

Any triple | 30 | 6 | 0.027778 | -0.138889 |

Double | 10 | 16 | 0.074074 | -0.185185 |

xy | 5 | 30 | 0.138889 | -0.166667 |

Any number | 1,2,3 | 75,15,1 | 0.421296 | -0.078704 |

Following is a table summarizing each bet under the Macau rules.

### Sic Bo — Macau Rules

Bet | Pays | Winning Combinations |
Probability | Return |
---|---|---|---|---|

Small, Big | 1 | 105 | 0.486111 | -0.027778 |

Odd, Even | 1 | 105 | 0.486111 | -0.027778 |

4, 17 | 50 | 3 | 0.013889 | -0.291667 |

5, 16 | 18 | 6 | 0.027778 | -0.472222 |

6, 15 | 14 | 10 | 0.046296 | -0.305556 |

7, 14 | 12 | 15 | 0.069444 | -0.097222 |

8, 13 | 8 | 21 | 0.097222 | -0.125000 |

9, 12 | 6 | 25 | 0.115741 | -0.189815 |

10, 11 | 6 | 27 | 0.125000 | -0.125000 |

Triple | 150 | 1 | 0.004630 | -0.300926 |

Any triple | 24 | 6 | 0.027778 | -0.305556 |

Double | 8 | 16 | 0.074074 | -0.333333 |

xyz | 30 | 6 | 0.027778 | -0.138889 |

xxy | 50 | 3 | 0.013889 | -0.291667 |

wxyz | 7 | 24 | 0.111111 | -0.111111 |

xy | 5 | 30 | 0.138889 | -0.166667 |

Any number | 1,2,3 | 75,15,1 | 0.421296 | -0.078704 |

Following is a table summarizing each bet under the Australia rules.

### Sic Bo — Australia Rules

Bet | Pays | Winning Combinations |
Probability | Return |
---|---|---|---|---|

Small, Big | 1 | 105 | 0.486111 | -0.027778 |

4, 17 | 62 | 3 | 0.013889 | -0.125000 |

5, 16 | 31 | 6 | 0.027778 | -0.111111 |

6, 15 | 18 | 10 | 0.046296 | -0.120370 |

7, 14 | 12 | 15 | 0.069444 | -0.097222 |

8, 13 | 8 | 21 | 0.097222 | -0.125000 |

9, 12 | 7 | 25 | 0.115741 | -0.074074 |

10, 11 | 6 | 27 | 0.125000 | -0.125000 |

Triple | 180 | 1 | 0.004630 | -0.162037 |

Any triple | 31 | 6 | 0.027778 | -0.111111 |

Double | 11 | 16 | 0.074074 | -0.111111 |

xy | 6 | 30 | 0.138889 | -0.027778 |

Any number | 1,2,12 | 75,15,1 | 0.421296 | -0.037037 |

### Sic Bo House Edge Comparison

Bet | Macau | Atlantic City | Australia |
---|---|---|---|

Small, Big | 2.78% | 2.78% | 2.78% |

4, 17 | 29.17% | 15.28% | 12.50% |

5, 16 | 47.22% | 13.89% | 11.11% |

6, 15 | 30.56% | 16.67% | 12.04% |

7, 14 | 9.72% | 9.72% | 9.72% |

8, 13 | 12.50% | 12.50% | 12.50% |

9, 12 | 18.98% | 18.98% | 7.41% |

10, 11 | 12.5% | 12.50% | 12.50% |

Triple | 30.09% | 16.20% | 16.20% |

Any triple | 30.56% | 13.89% | 11.11% |

Double | 33.33% | 18.52% | 11.11% |

xy | 16.67% | 16.67% | 2.78% |

Any number | 7.87% | 7.87% | 3.7% |

**Yee Hah Hi**

About 20% of the many Sic Bo tables in Macau use dice with pictures, instead of numbers. According to the Ultimate Casino Guide, by Michal Wiesenberg, the name of this game is "Yee Hah Hi." The translation is "Fish Shrimp Crab." Each picture has an associated number, as shown below. In addition to the usual bets there are some based on the colors of the symbols, as explained below.

### Sic Bo — Chinese Dice Rules

Symbol | Color | Number |
---|---|---|

Fish | red | 1 |

Scorpion | green | 2 |

Goard | blue | 3 |

Coin | blue | 4 |

Crab | green | 5 |

Rooster | red | 6 |

**All same color**: Wins if all three dice are the same color. Pays 7 to 1. The probability of winning and house edge are both, coincidentally, 11.11%.**Excactly two of specific color**: Wins if exactly two dice are a color chosen by the player, for example red. Pays 3 to 1. The probability of winning is 22.22%, and house edge is 11.11%.**Excactly one of specific color**: Wins if exactly one die is a color chosen by the player, for example red. Pays 1 to 1. The probability of winning is 44.44%, and house edge is 11.11%.

## Internal Links

- Sic Bo appendix. This is a brief explanation of how the odds are calulated for each bet.