Craps Pass Line Calculator

Calculate the complete odds, probabilities, and expected value for the Pass Line bet - the most popular bet in craps. Understand come-out roll odds and point probabilities.

Formula:P(Win) = P(Come-out Win) + Σ P(Point) × P(Make Point)

Win Probability

49.29%

Overall resolution

Win Amount

$10

1:1 payout

House Edge

1.41%

Expected Value

-$0

Per bet

Pass Line Bet

$

Come-Out Roll Analysis

22.2%

Win (7 or 11)

8 ways

11.1%

Lose (2, 3, 12)

4 ways

66.7%

Point Set

24 ways

RollWaysProbabilityResult
7616.67%WIN
1125.56%WIN
212.78%LOSE
325.56%LOSE
1212.78%LOSE
4, 10616.67%Point
5, 9822.22%Point
6, 81027.78%Point

Point Resolution Probabilities

PointWays to MakeWays to Lose (7)Win ProbabilityTrue Odds
43633.33%2:1
54640.00%3:2
65645.45%6:5
85645.45%6:5
94640.00%3:2
103633.33%2:1

Overall Pass Line Resolution

Win: 49.29%Lose: 50.71%House Edge: 1.41%

Expected Value Analysis

Bet Amount$10
Win Amount$10
Total Return on Win$20
Win Probability49.29%
Lose Probability50.71%
House Edge1.41%
Expected Value-$0

EV = (Win Probability × Win) - (Lose Probability × Bet) = -$0 per bet

Quick Answer

The Pass Line wins 49.29% of all resolutions with a 1.41% house edge. On the come-out roll, you win on 7 or 11 (22.2% chance) and lose on 2, 3, or 12 (11.1% chance). Any other roll establishes a point, which you must roll again before a 7 to win.

Key Facts

  • Come-out: Win on 7 or 11 (8 ways, 22.2%), Lose on 2/3/12 (4 ways, 11.1%)
  • Point established on 4, 5, 6, 8, 9, or 10 (24 ways, 66.7%)
  • Overall Pass Line win rate: 49.29% | House edge: 1.41%
  • Point 6/8: 45.45% chance to make | Point 4/10: 33.33% chance
  • $10 Pass Line bet returns $20 on win (1:1 payout)
  • Always take maximum odds behind Pass Line for lowest combined edge

Understanding the Pass Line Bet

The Pass Line is the fundamental bet in craps and one of the best bets in any casino game. It works in two phases: the come-out roll and the point phase. Understanding both phases is essential to appreciating why the house edge is only 1.41%.

Come-Out Roll

On the first roll (come-out), you're at a significant advantage: 8 ways to win instantly versus 4 ways to lose. However, 24 ways establish a point, shifting the odds.

Point Phase

Once a point is established, the math changes. Now you're racing against the 7, which can be rolled 6 ways. Points 6 and 8 are most favorable, while 4 and 10 are hardest to make.

Frequently Asked Questions

How does the Pass Line bet work?

On the come-out roll, Pass Line wins on 7 or 11 and loses on 2, 3, or 12. Any other number (4, 5, 6, 8, 9, 10) becomes the "point." You then win if the point rolls before a 7, or lose if 7 rolls first. Pass Line pays 1:1 ($10 wins $10).

What are the come-out roll probabilities?

Win on 7 (6/36 = 16.67%) or 11 (2/36 = 5.56%) = 22.22% total. Lose on 2 (1/36 = 2.78%), 3 (2/36 = 5.56%), or 12 (1/36 = 2.78%) = 11.11% total. Establish point = 66.67%.

What is the best point to establish?

Point 6 or 8 are best with 45.45% chance of making the point. Point 5/9 have 40% chance. Point 4/10 have only 33.33% chance. However, you cannot choose your point - it is determined by the come-out roll.

Should I always bet Pass Line?

Pass Line is one of the best bets in the casino at 1.41% edge. Don't Pass is slightly better at 1.36% but means betting against the shooter. For social play and good odds, Pass Line with maximum odds is the recommended strategy.

Can I remove my Pass Line bet?

No. Once a point is established, you cannot remove or reduce your Pass Line bet. This is because the odds shift in your favor after surviving the come-out roll. However, you can remove odds bets at any time.