Sic Bo is a popular casino game in which punters bet on the outcome of the roll of three dice.
There are all kinds of things you can bet on: Odd or Even, Big or Small, individual numbers, specific triples, specific totals.
One thing I didn’t realise until recently is that the casino’s margin on all these bets varies greatly, from about 3% up to about 30%…
This is quite different from roulette, in which all bets basically have the same vigorish (1 part in 37).
The basic Big/Small/Odd/Even bets are the best value. The casino’s edge is only made by the fact that these bets don’t pay on triples, so in effect they are taking 1/36, about 2.8%. This is similar to roulette odds.
Bets on a particular pair (eg 2 and 5) pay 6 to 1, meaning a 2.8% margin again.
Specific triple bets only pay 180 to 1. Given that there are 216 equiprobable outcomes, this amounts to a 16% slice for the casino.
You can also bet on any triple, which pays 31 to 1. That’s a 11% for the casino.
You can specify four numbers that must cover all dice, pays 7 to 1, 11% again.
To bet on a particular set of three different numbers pays 30 to 1, a 14% margin.
To bet on two of a number and one of another (e.g. 2 2 5) pays 50 to 1. This is the worst. You only have a 1/72 chance of this coming up. A 29% margin.
The odds of various exact total bets vary with the total.
Either 4 or 17, pays 62 to 1, a 12% margin.
either 5 or 16, pays 31 to 1, 11% margin.
6 or 15, pays 18 to 1, a 12% margin.
7 or 14, pays 12 to 1, a 10% margin.
8 or 13, pays 8 to 1, a 12% margin.
9 or 12, pays 7 to 1, a 7% margin.
10 or 11, pays 6 to 1, a 12% margin.
So they are all pretty rubbish except for Big/Small/Odd/Even/particular pairs.
These odds vary somewhat between casinos but not much. Found some that only pay 5 to 1 on particular pairs, which is terrible.