Craps Pass Line Calculator: Minimize the House Edge

The pass line is craps' most fundamental bet—and one of the best wagers in the casino. Our free calculator shows you the math behind pass line betting, optimal odds strategies, and how to reduce the house edge to nearly zero with free odds.

What Is the Pass Line Bet?

The pass line bet is made before the come-out roll. You win on 7 or 11, lose on 2, 3, or 12, and any other number becomes "the point" which must be rolled again before a 7 to win.

Quick Answer: The pass line has a 1.41% house edge—excellent for casino games. But the real power is in "free odds" behind the pass line, which have 0% house edge. Taking maximum odds reduces your combined edge to under 0.4% at many casinos.

How to Use Our Free Pass Line Calculator

Use the Craps Pass Line Calculator →

Enter your bet and odds multiple to see expected value and optimal strategy.

Step-by-Step Instructions

1. Enter Pass Line Bet: Your base wager

2. Select Odds Multiple: 1×, 2×, 3×, or table maximum

3. View Win Probabilities: See odds for each point

4. Calculate Expected Loss: Understand your true cost

Input Fields Explained

Field	Description	Example
Pass Line Bet	Base wager amount	$10
Odds Multiple	How much odds you'll take	3×
Point	If established, which number	6

Pass Line Probability Breakdown

Come-Out Roll Outcomes

Outcome	Numbers	Probability	Result
Natural	7, 11	22.22%	Win
Craps	2, 3, 12	11.11%	Lose
Point	4, 5, 6, 8, 9, 10	66.67%	Establish point

Point Conversion Probabilities

Point	Ways to Roll	Ways to Roll 7	Win Probability
4 or 10	3	6	33.33%
5 or 9	4	6	40.00%
6 or 8	5	6	45.45%

Overall Pass Line Win Rate

Combining come-out and point phases:

• Total win probability: 49.29%
• Total lose probability: 50.71%
• House edge: 1.41%

The Power of Free Odds

What Are Free Odds?

After a point is established, you can place an additional "odds" bet behind your pass line. This bet:

• Pays true odds (no house edge)
• Is the only 0% edge bet in the casino
• Dramatically reduces combined house edge

Odds Payouts by Point

Point	True Odds	$10 Odds Bet Pays
4 or 10	2:1	$20
5 or 9	3:2	$15
6 or 8	6:5	$12

Combined House Edge with Odds

Odds Multiple	Combined House Edge
No odds	1.41%
1× odds	0.85%
2× odds	0.61%
3× odds	0.47%
5× odds	0.33%
10× odds	0.18%
100× odds	0.02%

Key insight: Maximum odds makes pass line one of the best bets in any casino.

Real-World Pass Line Examples

Example 1: Basic Pass Line

Bet: $10 pass line, no odds

Scenarios:

• Come-out 7 or 11: Win $10 (22.22% chance)
• Come-out 2, 3, or 12: Lose $10 (11.11% chance)
• Point established: Continue to point resolution

Expected loss: $10 × 1.41% = $0.14 per decision

Example 2: Pass Line with 3× Odds

Bet: $10 pass line + $30 odds on point of 6

Scenarios:

• Point hits (6 before 7): Win $10 (pass) + $36 (odds) = $46
• Seven-out: Lose $10 (pass) + $30 (odds) = $40

Expected loss: $40 total at risk × 0.47% = $0.19 per decision

Comparison: More money at risk but better percentage.

Example 3: Maximum Odds Strategy

Casino offers: 10× odds

Optimal bet: $5 pass + $50 odds

Combined edge: 0.18%

Per $55 at risk: $0.10 expected loss

This is one of the absolute best bets in any casino.

Pass Line Strategy

Optimal Approach

1. Bet minimum on pass line: This is the portion with 1.41% edge
2. Take maximum odds: This is 0% edge—bet as much as bankroll allows
3. Skip proposition bets: All other craps bets have higher edges

Bankroll Considerations

More odds = more variance:

Strategy	Pass Line	Odds	Total Risk	Volatility
Conservative	$10	$0	$10	Low
Moderate	$10	$30 (3×)	$40	Medium
Aggressive	$10	$100 (10×)	$110	High

Higher odds reduce house edge but increase bet-to-bet swings.

Session Expectations

$10 pass, 3× odds, 100 decisions:

• Total wagered: ~$4,000
• Expected loss: ~$19
• Standard deviation: ~$400

You'll typically win or lose $300-$500, rarely close to the $19 expected loss.

Pass Line vs. Don't Pass

Comparison

Bet	House Edge	Characteristics
Pass Line	1.41%	Bet with shooter, wins on 7/11
Don't Pass	1.36%	Bet against shooter, wins on 2/3

Don't pass has slightly better odds but:

• You're betting against the table
• Social pressure may be uncomfortable
• Push on 12 (some casinos 2)

Both are excellent bets with odds.

Common Pass Line Mistakes

1. Skipping Odds: Not taking free odds throws away the game's best advantage

2. Big Pass Line, Small Odds: Inverse of optimal. Minimize pass line, maximize odds.

3. Removing Odds: You can remove odds anytime, but mathematically you never should

4. Proposition Bets: "Horn," "hardways," and field bets have 5-16% edges. Avoid them.

5. Hedge Betting: Betting both pass and don't pass is pointless—they nearly cancel out

Frequently Asked Questions

Should I ever bet don't pass?

If you don't mind betting against the shooter, don't pass has a 0.05% lower edge. With odds, the difference is negligible. Choose based on preference.

Can I take down my pass line bet?

No. Once a point is established, pass line bets are "contract bets" and must stay. You CAN remove odds at any time (but shouldn't).

What if the casino offers 100× odds?

Take as much as your bankroll comfortably allows. 100× odds makes pass line essentially a 0% edge bet. This is extraordinarily rare.

Is there a pass line strategy to win?

No strategy changes the math. The house has an edge regardless of betting patterns. Optimal play minimizes that edge through maximum odds.

How many pass line bets should I have working?

One pass line (or come bet) at a time is simplest. Multiple bets increase action but also variance. Match to your bankroll and preferences.

Why is the pass line better than other bets?

Historical accident. Craps evolved from street dice; the pass line reflects basic fair dice odds. Casinos added proposition bets with huge edges to profit.

Advanced Pass Line Concepts

Come Bets

Come bets work exactly like pass line but made after point is established:

• Same 1.41% edge
• Same odds rules
• Creates multiple points working

Calculating Variance

Standard deviation per pass line decision:

• No odds: ~1× bet
• 3× odds: ~3× bet
• 10× odds: ~10× bet

Higher odds = more extreme session results.

Table Selection

Look for:

• Maximum odds available (10× better than 2×)
• Lower minimums (allows proportionally larger odds)
• Less crowded (more rolls per hour)

Pro Tips for Pass Line Betting

• Always take odds: The 0% edge is the whole point

• Minimize pass line amount: Just enough to get odds access

• Avoid proposition bets: They exist to drain your bankroll

• Set session limits: Variance can swing dramatically

• Learn come bets: Same math, more action

Related Craps Calculators

• Craps Odds Calculator - All craps bet probabilities
• Craps Don't Pass Calculator - Wrong bettor math
• Craps House Edge Calculator - Compare all bets
• Craps Strategy Calculator - Optimal betting
• Craps Bankroll Calculator - Session planning

Conclusion

The pass line with maximum odds is one of the smartest bets in any casino. Our free calculator shows exactly how odds reduce the house edge, helping you understand why this simple bet structure is the foundation of intelligent craps play.

Calculate Your Pass Line Bet Now →

Craps can seem intimidating, but the math is simple: pass line good, odds better, everything else worse. Master this fundamental and you'll play smarter than 90% of the craps table.