Sic Bo: Probabilities, Payouts & House Edge Guide
Sic Bo looks like a broad betting carnival, but underneath it is a fixed three-dice probability table. Every wager reduces to 216 ordered outcomes, a payout multiple, and a volatility profile.
Total 12, no triple
18+ Only. Gambling involves risk. Please gamble responsibly. Learn more →
What is Sic Bo?
Sic Bo is a casino dice game built around three six-sided dice and a large menu of fixed-layout bets.
Players bet before the dice are revealed. The wagers can target broad ranges such as Small and Big, or narrow outcomes such as a specific triple, exact total, double, or two-number combination.
Unlike craps, Sic Bo does not have a point phase or a sequence of state changes. Every round is a fresh one-roll event. That makes the math more static: probability and payout do almost all the work.
The educational value is excellent because the game surfaces house edge, variance, and payout distortion in a very direct way.
CasinoMath framing
Sic Bo is not a skill game in the outcome sense. The useful skill is choosing bets with lower long-run cost and understanding how often rare events actually happen.
History of Sic Bo
Sic Bo is an old Chinese dice game whose modern casino form emphasizes a wide menu of fixed payout bets.
The game is associated with Chinese gambling traditions and spread into modern casino floors through Asian gaming markets, Macau, and international casino adoption. Today the game is often used as a compact lesson in how a visually dense table can hide very different house edges behind neighboring bets.
How Sic Bo Works
Each round follows the same simple loop: choose a bet, reveal three dice, resolve the layout.
Bet
Choose one or more wagers from the table layout before the dice are shaken.
Reveal
Three six-sided dice are rolled, producing one of 216 equally likely ordered outcomes.
Resolve
Winning bets are paid according to the printed paytable and losing bets are collected.
Three Dice Basics
Three six-sided dice create 6 × 6 × 6 = 216 equally likely ordered outcomes.
This ordered-outcome model matters. A roll of 1-2-3 is distinct from 2-1-3 when we count equally likely outcomes, even though both have the same unordered appearance at the table.
Totals in the middle of the range occur more often because there are more ways to make them. Extremes like 3 and 18 are very rare because only one ordered outcome produces each extreme.
Only one way to make total 3
Sic Bo Table Layout
The felt groups bets by family: range bets, totals, singles, doubles, triples, and combinations.
Small and Big Bets
These are the broad range bets and usually the most defensible standard options on the layout.
Small
LowWithout the triple exception this would be a fair even-money range bet. The three losing triples create the 2.78% house edge.
Big
LowMathematically identical to Small. The bet feels broad, but the triple exception quietly keeps the edge intact.
Single Number Bets
These bets feel active because they win whenever the chosen face appears, but the blended payout still leaves a meaningful house edge.
Single Number
MediumUnder the common paytable, one match pays 1:1, two matches pay 2:1, and three matches pay 3:1. The blended result yields a 7.87% house edge.
Double Bets
Specific doubles pay only when at least two of the selected face appear. Triples count, but the payout is still poor under common rules.
Specific Double
HighThis is often mistaken for a decent medium-range bet because triples count as wins, but at 10:1 it is still very expensive under Atlantic City-style rules.
Triple Bets
Triples are the high-drama side of Sic Bo: rare events with large displayed payouts and very high volatility.
Specific Triple
Very HighA bet on 666 wins only on 6-6-6. The payout is dramatic, but the event is just 1 in 216.
Any Triple
Very HighThe hit rate is better than a specific triple, but 30:1 still pays far below true odds.
Specific Triple Bets
A bet on a specific triple wins only on one exact outcome such as 2-2-2 or 6-6-6.
One exact triple out of 216 outcomes means a hit rate of 0.46%. The payout looks huge, but the true odds against the event are still larger, so the bet remains expensive in long-run terms.
Any Triple Bets
Any triple aggregates all six triples, improving hit rate but still paying below true odds.
Any Triple wins on 111 through 666, so the probability is 6 out of 216, or 2.78%. That is far more common than a specific triple, but still uncommon enough that the bet behaves as a very high-volatility wager.
Combination Bets
Combination bets win if both selected faces appear somewhere among the three dice.
Two-number Combination
HighA 2-5 combination wins on any roll containing both 2 and 5, but the standard 5:1 payoff leaves a large mathematical gap.
Total Bets
Specific total wagers ride the bell-curve shape of three dice, but the payout schedule is uneven and often costly.
Only 3 combinations win, so the hit rate is tiny.
6 winning outcomes out of 216 under Atlantic City-style rules.
Frequently quoted as attractive, but mathematically expensive.
One of the better total bets, but still much costlier than Small or Big.
21 winning outcomes create a better hit rate, but the payout is also lower.
A relatively common total with a poor payout multiple.
Most common totals, but still expensive because the payout lags the probability.
Two Dice Combination Bets
These bets are often described informally as choosing two numbers and hoping both appear.
A 2-5 combination wins on any roll that contains at least one 2 and at least one 5. There are 30 ordered outcomes out of 216 that satisfy that condition. Under a 5:1 payout, the resulting house edge is still large despite the bet sounding more precise than a total wager.
Sic Bo Payouts
Payouts advertise excitement, but they do not tell you whether a bet is mathematically efficient.
Wins on totals 4 through 10, except any triple loses.
Wins on totals 11 through 17, except any triple loses.
Bet on one face. The payout depends on whether that face appears one, two, or three times.
Wins if at least two of the selected face appear.
A pure long shot: only one exact triple wins.
Wins on any triple from 111 to 666.
Wins if both selected faces appear somewhere among the three dice.
One of the better specific total wagers under common rules.
Sic Bo Probabilities
The broadest bets are close to even-money range bets; narrow bets collapse to tiny hit rates very quickly.
Small (4-10, no triple)
48.61%105 winning combinations out of 216.
The triple exception is what creates the house edge on an otherwise even-looking bet.
Big (11-17, no triple)
48.61%105 winning combinations out of 216.
Same math as Small on the opposite side of the total range.
Any Triple
2.78%6 winning combinations out of 216.
All three dice must match: 111 through 666.
Specific Triple
0.46%1 winning combinations out of 216.
Only one exact outcome wins, such as 444.
Specific Double
7.41%16 winning combinations out of 216.
At least two of the selected number appear; triples count as wins.
Two-number Combination
13.89%30 winning combinations out of 216.
Both chosen faces appear somewhere among the three dice.
Total distribution
House Edge Explained
House edge appears when a bet pays less than the true mathematical odds of the event.
Core idea
Small wins about 48.61% of the time, but it pays only 1:1 and loses on all triples in its range. That small payout mismatch is enough to create a 2.78% house edge.
Practical reading
In Sic Bo, visually neighboring bets can have radically different house edges. You cannot infer value from layout position, only from probability versus payout.
Low House Edge Bets
Under standard rules, Small and Big are the main lower-edge options.
Low-edge read
Small and Big sit at 2.78% house edge under standard rules.
Low-edge read
A few regional layouts improve other bets, but the common Atlantic City-style felt is much harsher on doubles, combos, and totals.
Low-edge read
Frequent hits do not automatically mean a good bet if the payout is too small.
High House Edge Bets
Many Sic Bo bets trade visual excitement for heavy mathematical cost.
High-edge read
Specific doubles, combination bets, and many total bets live in the 9% to 19% edge range.
High-edge read
Triples look exciting because the payouts are large, but they are rare enough that the long-run cost stays steep.
High-edge read
Sic Bo systems usually fail because they increase exposure on already expensive wagers.
Variance Explained
Sic Bo variance increases as the bet becomes narrower and more payout-heavy.
Small / Big
Low variance because they win almost half the time.
Single Number
Medium variance because hits are fairly common, but payout size still fluctuates.
Totals and Doubles
High variance because many wagers depend on narrower event sets.
Triples
Very high variance because wins are rare and clustered around long droughts.
Expected Value Explained
Expected value converts house edge into a long-run average cost for each dollar wagered.
Formula
Expected loss = amount wagered × house edge
A $100 total of Small-bet action has expected loss of $2.78.
A $100 total of Any Triple action has expected loss of $13.89.
What EV does not do
EV does not predict the next round. It describes the average cost of repeating the same bet structure many times under the same rules.
Bankroll Considerations
Three dice create a lot of tempting side action, so bankroll stress often comes from bet selection rather than table minimum alone.
$100
At $5 units, a low-edge Small/Big approach gives 20 flat bets, but a triple-heavy style can evaporate the bankroll quickly.
$500
Enough room for longer low-edge sessions, but variance still matters because three dice create many sharp side-bet swings.
$1,000
Lets you absorb normal range-bet variance better, though long-shot totals and triples can still create deep drawdowns.
Common Sic Bo Myths
Sic Bo regularly invites streak stories and pattern narratives that the math does not support.
Why Systems Do Not Beat Sic Bo
Betting systems alter exposure and variance, not the expected value of the underlying wager.
Conservative approach
Stay on Small and Big, size bets modestly, and treat Sic Bo as a higher-edge cousin of range betting rather than a precision game.
Educational approach
Use total bets and triples as examples of volatility and house-edge tradeoffs, not as core bankroll tools.
What to avoid
Avoid believing that frequent hits, dealer rhythm, or betting systems can turn negative-EV side bets into value bets.
Responsible Play
CasinoMath treats Sic Bo as a probability lesson, not as a prompt to gamble.
Responsible Gaming
This content is for educational purposes only. Gambling involves real financial risk and can be addictive. The house always has a mathematical advantage—there is no guaranteed winning strategy.
Use the Sic Bo Calculator
Turn the guide into numbers: compare payout, probability, house edge, volatility, and expected loss per $100 or $1,000 of action across the main Sic Bo bet families.
Launch CalculatorRelated CasinoMath Resources
Use these pages to connect Sic Bo with wider bankroll, house-edge, and dice-game concepts.
Sic Bo FAQ
The short version of Sic Bo skill, dice count, house edge, and betting-system myths.
What is Sic Bo?
Sic Bo is a three-dice casino game in which players bet on totals, ranges, doubles, triples, and number combinations before the dice are revealed.
Is Sic Bo based on skill?
No. Sic Bo outcomes are determined by random dice results. Skill helps only in choosing lower-edge bets and managing bankroll risk.
What is the best Sic Bo bet?
Under standard rules, Small and Big are usually the best common bets, each with a 2.78% house edge.
What is the worst Sic Bo bet?
It depends on the layout, but many specific doubles, triples, and total bets carry double-digit house edges and are far worse than Small or Big.
How many dice are used?
Sic Bo uses three six-sided dice, which creates 216 equally likely ordered outcomes.
Can betting systems beat Sic Bo?
No. Progression systems change the path of wins and losses, but they do not change the probability or payout of the bet itself.
What is the house edge in Sic Bo?
The house edge depends on the bet. Small and Big are about 2.78%, while many totals, doubles, and triple bets are much higher.
Is Sic Bo similar to Craps?
Both use dice, but Sic Bo is a fixed-layout three-dice betting game. Craps is a sequence-based table game with point mechanics and odds bets.