Pass Line with odds is a low-cost craps approach, not a winning system. The Pass Line supplies the required wager with about a 1.41% house edge. After a point is established, the optional odds bet pays at the true dice odds and has no house edge.
The practical decision is not whether odds are mathematically fair. They are. The decision is how much extra variance your bankroll can carry.
The strategy in one cycle
- Place the Pass Line bet before the come-out roll.
- Win immediately on 7 or 11.
- Lose immediately on 2, 3 or 12.
- If 4, 5, 6, 8, 9 or 10 becomes the point, decide whether to add odds behind the line.
- Win both wagers if the point repeats before 7.
- Lose both wagers if 7 appears first.
The odds wager cannot be made by itself. It is attached to a Pass Line or Come bet that already carries the casino advantage.
Why the odds payouts are fair
Once a point exists, compare the combinations that make the point with the six combinations that make 7.
| Point | Ways to roll point | Ways to roll 7 | True odds against making point first | Odds payout |
|---|---|---|---|---|
| 4 or 10 | 3 | 6 | 2 to 1 | 2:1 |
| 5 or 9 | 4 | 6 | 3 to 2 | 3:2 |
| 6 or 8 | 5 | 6 | 6 to 5 | 6:5 |
For point 5, a $20 odds bet wins $30 because 3:2 is the fair payout. For point 6, a $25 odds bet wins $30 because 6:5 is the fair payout.
Correct bet sizing matters. Dealers may ask for an odds amount that produces a clean payout when the chip amount is not compatible with the point.
Odds lower the combined percentage, not the Pass Line edge
The expected loss on a $10 Pass Line decision is approximately:
$$10\times1.414%=$0.1414$$
Adding odds does not change that expected loss. It increases the denominator—the total amount wagered—without adding expected cost. That is why the combined edge measured against total action falls.
For fixed odds multiples, a point is established on 24 of 36 come-out outcomes, or two thirds of cycles. The following estimates compare expected Pass Line loss with average total action across complete Pass Line cycles:
| Odds taken | Average total action per $10 line cycle | Approx. combined edge on total action |
|---|---|---|
| None | $10.00 | 1.414% |
| 1× odds | $16.67 | 0.848% |
| 2× odds | $23.33 | 0.606% |
| 3-4-5× odds | $37.78 | 0.374% |
| 5× odds | $43.33 | 0.326% |
| 10× odds | $76.67 | 0.184% |
These percentages do not mean the player is less likely to lose a given seven-out. They describe expected loss relative to a larger amount of total action.
What 3-4-5× odds means
A 3-4-5× table allows:
- three times the Pass Line bet behind points 4 or 10;
- four times behind 5 or 9;
- five times behind 6 or 8.
The structure is convenient because a maximum-odds win is the same on every point. With a $10 line bet:
- $30 odds on 4 pays $60;
- $40 odds on 5 pays $60;
- $50 odds on 6 pays $60.
The line win adds another $10 in each case. The equalized maximum win simplifies payouts; it does not change the dice.
A complete point-5 example
A player makes a $15 Pass Line bet. The come-out roll establishes 5. The table allows 5× odds, but the player chooses $30 odds.
Total at risk after the point:
$$15+30=$45$$
If 5 rolls before 7:
- Pass Line wins $15.
- $30 odds at 3:2 wins $45.
- Net win is $60, and the $45 stake is returned.
If 7 rolls first, the $45 is lost.
The $30 odds portion is fair in expectation, but the combined position still creates a $45 two-outcome swing.
Size the base bet before choosing the odds multiple
A common mistake is selecting the table minimum first and then treating maximum odds as mandatory. Work backward from the largest comfortable point exposure.
Suppose the maximum amount you are prepared to lose on one resolved point is $60:
| Approach | Line bet | Odds | Maximum point exposure |
|---|---|---|---|
| No odds | $60 | $0 | $60 |
| 1× odds | $30 | $30 | $60 |
| 2× odds | $20 | $40 | $60 |
| 5× odds | $10 | $50 | $60 |
The 5× version has the best combined percentage, but it does not put less money at risk than the others in this comparison. It simply allocates more of the $60 to the zero-edge component.
A practical odds ladder
There is no required progression. A player can choose an odds level that fits the session:
- No odds: smallest point exposure, but the line bet’s 1.41% edge applies to all action.
- 1× odds: a modest increase in swing and a meaningful reduction in combined percentage.
- 2× odds: more efficient total action without making the odds wager dominate the bankroll.
- 3-4-5× or 5× odds: strong mathematical pricing, but one seven-out removes several base units at once.
- 10× or higher: very low combined percentage and very large short-term volatility.
Taking less than the maximum is not a strategy error. Taking more than the bankroll can support is.
What the strategy does not fix
A clean Pass Line-and-odds plan can become expensive when the player adds unrelated wagers:
- high-edge one-roll propositions;
- repeated hardways;
- side bets with jackpot-style payouts;
- multiple Come bets with full odds that multiply total exposure;
- larger odds after losses in an attempt to recover;
- longer play because the combined edge looks small.
The strategy controls wager selection. It does not control emotion, pace or session length.
Table rules to confirm before buying in
Ask or read the layout for:
- the maximum odds multiple;
- whether odds are working on come-out rolls for Come bets;
- minimum and maximum line wagers;
- accepted chip multiples for clean odds payouts;
- whether the property rates odds action for comps;
- special rules in crapless or alternative craps versions.
Washington’s current craps game description provides a regulator-published example of Pass Line resolution and odds handling. House procedures and allowed multiples can still differ by jurisdiction and table.
From the casino side
Casinos can offer true odds because the wager is attached to a line bet with an edge. More odds also create larger chip movement, and many players add other wagers while waiting for the point.
For ratings, properties may treat the line and odds portions differently because only the line wager carries theoretical advantage. The method is not universal. A player should not assume that $50 odds earns the same comp credit as a $50 wager with a house edge.
A disciplined version of the strategy
Before the first roll, decide:
- the base unit;
- the odds multiple or fixed odds amount;
- the maximum number of simultaneous line or Come positions;
- the session loss limit;
- whether any other wagers are allowed.
Then keep the odds choice unchanged after wins and losses. Increasing fair odds to chase a loss does not make the previous loss more recoverable; it only enlarges the next swing.
Related reading
Review the Pass Line bet, odds bet, and combined house edge with odds for the underlying rules. Compare this approach with beginner craps strategy and Don’t Pass strategy. The craps odds calculator can test payout-compatible amounts before play.