A plain guide to sic bo dice totals

Sic bo is a three-dice game with a crowded layout. Most of the print is a list of totals, pairs and triples, each with its own payout. The two largest areas are usually Big and Small. They look like a coin flip. Under the common rule that triples lose, they are not.

This guide is for adults 18 and older. It explains the dice. It does not suggest you play, and payouts for the small boxes differ by room. Read the felt. Laws differ by place.

Three dice, 216 outcomes

Each die has 6 faces. Three dice have 6 times 6 times 6 equals 216 equally likely outcomes if the dice are fair. A total of 3 can happen in 1 way. A total of 4 can happen in 3 ways. The counts climb toward the middle and fall again. Totals of 10 and 11 are the most common, with 27 outcomes each. Totals of 3 and 18 are the rarest, with 1 each.

You do not need the full list to see the shape. Middle totals are common. Extremes are rare. A payout that treats a total of 17 as if it were almost ordinary is a story, not a price. Ask what the layout actually pays, then compare it with how few ways that total can appear.

Big and small, checked

On a common layout, Small covers totals 4 through 10, and Big covers 11 through 17. Triples lose for both, or are barred, rather than winning. Count the winning outcomes and the triples fall out. Small then has 105 winning outcomes out of 216. Big has 105 as well. The two sides match each other. Neither matches half the dice.

Half of 216 would be 108. Each side is 3 short of that. The expected result of an even-money stake, under this rule, is 105/216 times a gain of one unit, plus 111/216 times a loss of one unit. That is negative 6/216, which simplifies to negative 1/36. About 2.8 cents per dollar wagered, before any other trick in the rules. If your layout pays something other than even money, or treats triples differently, this fraction does not apply. The felt wins the argument.

The house edge language is the right frame. A nearly even bet can still carry a few cents of price per dollar. "Nearly" is doing a lot of work in the advertisement.

Triples and specific totals

A specific triple, such as three 4s, has 1 way out of 216. Any triple has 6 ways, one for each face. Those bets pay more because they hit less. The higher payout is not generosity. Compare it with 215 to 1 for a specific triple before you decide the posted number is large. Many layouts pay less than the fair ratio. This page will not memorize a universal multiple, because the multiple is printed and it varies.

Single-die and two-die pictures on the felt are more frequent and more modestly paid. They are still prices. Covering several of them does not invent an edge. It invents a busier session. Variance on the rare boxes is wide. A hit is memorable. The misses between hits are the average.

Speed and the limit

Sic bo rounds are short. A person can cycle a session cap while still reading the board. Decide the money and the time before the first shake. The dice do not remember the last total. A missing 17 is not due. That belief is the gambler's fallacy with three cubes.

If you play, treat Big and Small as slightly worse than a coin, not as a safe harbor. Leave when the cap arrives. If the layout is no longer easy to walk away from, stop and look for local help.

Frequently asked questions

Is Big or Small a 50-50 bet? Not on the common rule where triples lose. Each side then has 105 winning outcomes out of 216, and an even-money payout is worth about 1/36 against you per dollar.

Do the two sides differ? Under that symmetric rule, no. The counts match. A room that pays them differently, or that handles triples differently, is a different game. Read the layout.

Are specific triples worth it because they pay a lot? A higher payout matches a rarer hit, then often stops short of the fair ratio. Rarity is not value. Check the printed multiple against 1 way in 216.