THE BOTTOM LINE
The pass line bet has a 1.414% house edge, while the attached odds bet pays true odds and carries 0% house edge, but it increases both your stake and your variance.
- A pass line bet wins on 7 or 11 and loses on 2, 3, or 12 during the come-out roll.
- After a point is set, the pass line wins if the shooter repeats that number before rolling 7.
- Taking odds reduces the house edge measured against your total action, but it does not turn the wager into a positive-expectation bet.
- The 3-4-5 rule generally gives 3x odds on 4 and 10, 4x on 5 and 9, and 5x on 6 and 8.
The right amount depends on your bankroll, table limit, and tolerance for losing a larger amount on one decision.
What Does the Pass Line Bet Mean?
The pass line is a two-stage wager. You place it before the come-out roll, then the result depends on whether the shooter establishes a point.
What Happens on the Come-Out Roll?
A 7 or 11 wins the pass line immediately. A 2, 3, or 12 loses immediately. Any other total, specifically 4, 5, 6, 8, 9, or 10, becomes the point.
The probability of an immediate pass line win is 8/36, or 22.22%. The probability of an immediate loss is 4/36, or 11.11%. The remaining 24/36, or 66.67%, establishes a point and moves the bet to the second stage.
What Happens After a Point Is Established?
Once a point is established, the shooter must roll that same number before rolling a 7. If the point appears first, the pass line wins even money. If a 7 appears first, the pass line loses.
The point numbers do not have equal probabilities. A 6 or 8 appears in 5 combinations out of 36, while a 4 or 10 appears in only 3 combinations out of 36. This difference explains why odds payouts vary by point.
Why Does Pass Line Plus Odds Have a Low House Edge?
| Bet structure | House edge on base bet | Odds-bet edge | Approximate edge on total action |
|---|---|---|---|
| Pass line only | 1.414% | Not used | 1.414% |
| Pass line plus 1x odds | 1.414% | 0% | 0.849% |
| Pass line plus 2x odds | 1.414% | 0% | 0.606% |
| Pass line plus 3x odds | 1.414% | 0% | 0.472% |
| Pass line plus 5x odds | 1.414% | 0% | 0.337% |
The pass line produces the expected loss. If you wager $100 on the pass line, the long-run mathematical loss is about $1.41, before considering any odds bet. The odds wager adds money to the table without adding another house advantage.
The approximate total-action figures assume that odds are available after a point and that the average odds multiple is applied across point numbers. Your exact result can differ because the point, odds limit, and number of rolls vary.
The Nevada Gaming Control Board’s published craps rules describe the pass line and odds wagers as separate components, with odds paid according to the point’s true probability. Rules and maximums can differ by table, so check the layout before buying in.
How Does the Odds Bet Work?
An odds bet is placed behind the pass line after a point has been established. It wins if the point is rolled before 7 and loses if 7 appears first.
Unlike the pass line, an odds bet does not pay even money on every point. Its payout reflects the actual ratio between the point and 7 combinations, so the casino does not need to build a mathematical margin into that part of the wager.
What Are the True Odds and Payouts by Point Number?
| Point | Point combinations | 7 combinations | True odds payout |
|---|---|---|---|
| 4 or 10 | 3 | 6 | 2:1 |
| 5 or 9 | 4 | 6 | 3:2 |
| 6 or 8 | 5 | 6 | 6:5 |
For example, a $20 odds bet behind a point of 4 wins $40, plus the return of the original $20 odds stake. A $20 odds bet behind a 6 wins $24, plus the original stake.
When Should You Take Odds After the Point Is Set?
You can take odds when the point is established, provided the table permits them and you have enough bankroll for the additional exposure. The mathematical reason to take odds is simple: the bet has no house edge.
That does not mean every player should take the maximum. A larger odds bet can lose in full when a 7 arrives, and the pass line bet remains exposed at the same time.
What Is the Pass Line and Odds Strategy, Step by Step?
- Place a pass line bet before the come-out roll.
- Accept the result if the come-out roll is 7, 11, 2, 3, or 12.
- Identify the point if the roll is 4, 5, 6, 8, 9, or 10.
- Decide the odds amount before the next roll, using a fixed bankroll limit rather than the previous result.
- Leave the bet active until the point is made or 7 appears.
- After the decision, reassess your session limit instead of increasing the next wager to recover a loss.
How Does the 3-4-5 Odds Rule Work?
The 3-4-5 rule is a common odds schedule designed to fit the point’s payout structure. It means 3x odds on 4 and 10, 4x on 5 and 9, and 5x on 6 and 8.
This schedule does not create a special advantage. It simply allocates more odds to the points that are more likely to be made before 7. A casino may instead offer 2x, 10x, 20x, or another maximum, so the printed table rules take precedence.
How Should You Choose Odds Based on Your Bankroll?
Set the maximum total loss on one pass line decision before placing the base bet. A pass line wager with 5x odds can expose you to roughly six base units, although the exact amount depends on the point and the table’s odds convention.
If losing that combined amount would affect rent, bills, debt payments, or your ability to stop playing, the odds amount is too high. A fixed unit size and a written session limit are more useful than changing the stake after wins or losses.
How Much Odds Should You Take?
| Bankroll position | Suggested approach | Example with $10 pass line | Main trade-off |
|---|---|---|---|
| Limited session funds | No odds or 1x odds | $10 to $20 total exposure | Higher edge on total action, lower swings |
| Moderate bankroll | 2x odds | $30 maximum exposure | Lower blended edge, larger loss on a 7 |
| Comfortable with variance | 3-4-5x odds | $40 to $60 depending on point | Low blended edge, substantial decision risk |
| High table limit | Use a fixed dollar cap | Do not assume maximum is affordable | Table maximum can exceed your plan |
There is no universal best odds amount. The lowest house edge per dollar of total action comes from taking more odds, while the lowest dollar volatility comes from taking less.
What Do Worked Betting Examples Show?
How Does a $10 Pass Line Bet With 2x Odds Work?
You place $10 on the pass line. After a point is established, you place $20 in odds, creating $30 of exposure on the decision.
If the point is 5, the odds pay 3:2, so a win returns the $20 stake plus $30 profit. The pass line adds $10 profit, making the total profit $40, excluding returned stakes.
If 7 appears first, both wagers lose, producing a $30 loss. The odds bet has no edge, but it makes the result more variable than a $10 pass line bet alone.
How Do $25 Pass Line Bets With 3-4-5x Odds Work?
With a $25 pass line wager, the 3-4-5 schedule places $75 behind a 4 or 10, $100 behind a 5 or 9, and $125 behind a 6 or 8.
If the point is 6, a win pays $150 profit on the $125 odds bet, plus $25 profit on the pass line. A 7 before the 6 loses the full $150 odds stake and the $25 pass line stake.
Using the frequencies of the 6 point numbers, the average odds amount after a point is established is about $108.33. The expected loss from the $25 pass line remains about $0.35 per resolved wager, but the possible win and loss amounts are much larger.
How Does Pass Line Odds Strategy Compare With Other Craps Bets?
| Bet | Typical house edge | Payoff basis | Mathematical comment |
|---|---|---|---|
| Pass line | 1.414% | Even money | Low edge, point-dependent resolution |
| Pass line plus odds | 0% on odds portion | True odds on point | Low blended edge, higher variance |
| Don’t Pass | About 1.36% | Usually even money | Often a small edge advantage, with 12 commonly a push |
| Field | Often 2.78% or higher | One-roll result | Terms vary, especially for 2 and 12 |
| Proposition bets | Often 9% to 16% or more | Single-roll outcomes | High payouts generally reflect high house margins |
Is Pass Line and Odds Better Than Don’t Pass and Lay Odds?
Pass line with odds and Don’t Pass with lay odds both combine a low-edge contract bet with a zero-edge odds wager. Don’t Pass usually has a slightly lower base-bet edge, but it has different outcomes, including a push on 12 and a wager against the shooter.
Your choice is therefore partly mathematical and partly about table preference. Neither side removes the house advantage from the base bet.
Why Are Proposition and Field Bets Usually Worse?
Field and proposition bets resolve quickly, which can increase the number of decisions per hour. Their house edges are commonly much higher than the pass line edge, and repeated one-roll betting can increase expected losses rapidly.
The exact edge depends on the paytable. Check whether a field bet pays double on 2, 12, or both, because that rule changes its expected value.
What Bankroll and Variance Rules Should You Use?
- Choose a base unit that makes the maximum planned loss on one decision affordable.
- Keep gambling funds separate from money needed for housing, food, bills, or debt.
- Set a stop-loss and a stop-time before play begins, then leave when either limit is reached.
- Do not treat a recent loss as evidence that the next roll is more likely to win.
- Use breaks and deposit or self-exclusion controls if gambling is becoming difficult to stop. The National Council on Problem Gambling recommends practical limits and support when play stops feeling voluntary.
Variance can dominate a short session. A sequence of 7s can produce large losses despite the odds bet having a zero mathematical edge, because zero edge describes the long run rather than the next roll.
What Common Pass Line and Odds Strategy Mistakes Should You Avoid?
- Do not call odds a guaranteed profit because the payout uses true odds.
- Do not increase the pass line or odds amount after a loss to recover the deficit.
- Do not assume every casino uses the same odds maximum or 3-4-5 schedule.
- Do not compare house edge percentages without checking whether they are measured against the base bet or total action.
- Do not add field, hardway, or proposition bets simply to keep money in action.
Can Pass Line and Odds Bets Beat the Casino?
No. Taking odds can reduce the casino’s edge as a percentage of your combined wager, but the pass line portion still has a positive house edge. Over a large number of decisions, the expected loss remains tied to that base bet.
The strategy can be described as efficient relative to many craps bets, not as profitable. A craps mathematical edge belongs to the casino on the pass line, and no betting sequence changes the dice probabilities.
What Is the Pass Line and Odds Strategy FAQ?
- What is the best odds bet in craps? The odds bet behind a pass line or Don’t Pass wager is mathematically strongest because it has 0% house edge when paid at true odds. It is still exposed to variance and does not erase the base-bet edge.
- Should you always take maximum odds? No. Maximum odds lowers the house edge per dollar wagered but increases the amount you can lose on one decision. Choose an amount that fits your predetermined bankroll limit.
- Does taking odds eliminate the house edge? No. The odds portion has no house edge, but the pass line bet does. The combined wager therefore remains negative expectation.
- Are craps pass line odds strategy results predictable? No. The strategy changes the size and composition of your wager, not the probability of the next dice total. Short sessions can differ sharply from the long-run expectation.
- Can the rules change between tables? Yes. Odds limits, minimum bets, field payouts, and whether odds are called 2x, 3x, 5x, or 3-4-5 can vary. Read the layout or ask the dealer before placing the bet.