Craps Probability Calculator
Calculate exact probabilities for every craps bet.
See odds, house edge, and expected value for pass line, don't pass, come, field, and proposition bets.
How Craps Works Craps is a dice game played with two standard six-sided dice. The shooter rolls the dice, and players bet on the outcome. The game has two phases: the come-out roll and the point phase.
Come-Out Roll On the first roll (come-out): 7 or 11 = Pass Line wins immediately (natural). 2, 3, or 12 = Pass Line loses immediately (craps). Any other number (4, 5, 6, 8, 9, 10) becomes “the point.”
Point Phase Once a point is established, the shooter keeps rolling. If the point number comes up again, Pass Line wins. If 7 comes up, Pass Line loses (seven-out). All other numbers are neutral.
Two-Dice Probabilities Two dice produce 36 equally likely combinations. The probability of each sum: 2 (1/36), 3 (2/36), 4 (3/36), 5 (4/36), 6 (5/36), 7 (6/36), 8 (5/36), 9 (4/36), 10 (3/36), 11 (2/36), 12 (1/36). Seven is the most likely outcome at 16.67%.
Pass Line Analysis The Pass Line bet wins about 49.29% of the time, which comes out of 244 winning resolutions in 495. The house edge is 1.41%, one of the best numbers in any casino.
Don’t Pass (Wrong Bettor) The opposite side: wins on 2 or 3, pushes on 12, loses on 7 or 11 on the come-out. During the point phase it wins if a 7 arrives before the point. The house edge is 1.36%, slightly better than the Pass Line, and the push on 12 is exactly where that difference comes from. Betting against the shooter is not popular at a crowded table, which is the real reason more people do not do it.
Free odds, and why they are the only fair bet in the building Once a point is set you may back your line bet with an “odds” bet that pays true odds: 2:1 on the 4 and 10, 3:2 on the 5 and 9, and 6:5 on the 6 and 8. There is no house edge on that money at all, which means it does not change your expected loss. What it changes is the denominator.
Combined edge = line edge ÷ average total wagered per come-out.
A point is set on 24 of 36 come-out rolls, so backing a Pass line with 2x odds puts an average of 1 + (24/36) × 2 = 2.33 units at risk while the expected loss stays at 1.41% of one unit. The combined edge falls to 0.61%. At the 3-4-5x maximum most Las Vegas tables offer, it is 0.374%, which is lower than any other bet on any table game in the casino.
The odds selector above works this out for whatever multiple your table allows. It applies only to the Pass and Don’t Pass lines, because those are the only bets odds can sit behind.
Hardways are not single-roll bets A hard 6 stands on the table until one of three things happens: the hard 6 (3+3), an easy 6 (5+1 or 4+2, either order), or a seven. That is 1 way to win against 4 easy sixes and 6 sevens, so it wins 1 time in 11, not 1 time in 36. Getting this wrong is the most common mistake in published craps tables, and it makes a 9.09% bet look like a 72% one.
Proposition Bets Single-roll bets in the middle of the table, such as any craps (2, 3 or 12) and the yo (11), run 11% to 17%. The 2 and the 12 pay 30:1 on a 35:1 shot, which is a 13.89% edge. These bets are where the casino makes most of its craps money, and the dealers are trained to keep offering them.
How we build and check this calculator
This calculator runs entirely in your browser, so the numbers you enter stay on your device. The math behind it is written by hand and tested against worked examples and standard references before the page goes live.
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