Sic Bo odds and the house edge of every bet

Three dice make 216 equally likely rolls. Big and small, the cheapest bets on the table, cost 2.78%; a specific triple paying 180 to 1 costs 16.20%. Every figure below counts all 216 rolls.

Every one of the 216 rolls of three dice counted. Pays differ between casinos; the edge moves with them.
BetPaysChance to winHouse edgeLower pay on some tables: edge
Small (total 4 to 10, not a triple)1 to 148.61%2.78%—
Big (total 11 to 17, not a triple)1 to 148.61%2.78%—
Odd total, not a triple1 to 148.61%2.78%—
Even total, not a triple1 to 148.61%2.78%—
Single number (pays 1, 2 or 3 to 1 for one, two or three dice)1, 2 or 3 to 142.13%7.87%—
Two dice combination, such as 1 and 25 to 113.89%16.67%—
Specific double, such as two 3s10 to 17.41%18.52%8 to 1: 33.33%
Any triple30 to 12.78%13.89%24 to 1: 30.56%
Specific triple, such as three 3s180 to 10.46%16.20%150 to 1: 30.09%
Total 4 or 1760 to 11.39%15.28%50 to 1: 29.17%
Total 5 or 1630 to 12.78%13.89%18 to 1: 47.22%
Total 6 or 1517 to 14.63%16.67%14 to 1: 30.56%
Total 7 or 1412 to 16.94%9.72%—
Total 8 or 138 to 19.72%12.50%—
Total 9 or 126 to 111.57%18.98%—
Total 10 or 116 to 112.50%12.50%—

Why big and small are the best bets

Big and small pay even money and would be a fair coin toss, except that they lose on any triple. There are six triples in 216 rolls, three on each side, and that small gap is the whole edge: 2.78%. The same holds for odd and even.

The single number bet

Bet on one number and it pays 1 to 1 if one die shows it, 2 to 1 if two do and 3 to 1 if all three do. It looks generous, because some number wins on almost every roll, but it wins 42.13% of the time and costs 7.87%.

Pay tables change the price

The totals, doubles and triples pay differently from one casino to another, and a lower pay can double the edge: a total of 5 or 16 paying 30 to 1 costs 13.89%, paying 18 to 1 it costs 47.22%. Check the pays printed on the table before comparing bets.

Questions

What is the best bet in Sic Bo?

Big or small (and odd or even) at 2.78%, by a wide margin: every other bet in the table costs several times more.

What are the odds of a triple in Sic Bo?

Any triple comes up 1 in 36.0; a specific triple, such as three 3s, 1 in 216.

Can a betting system beat Sic Bo?

No. Every bet has its own fixed edge, so any mix of bets loses the weighted average of their edges on everything staked.

Every figure is computed by our code and checked a second way; see the methodology. Casino games are entertainment with a price: free help if gambling stops being fun.

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