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 has a total probability of winning of about 49.29%. The house edge is only 1.41%, making it one of the best bets in any casino. With free odds behind the Pass Line (a bet with zero house edge), the overall house edge drops even further.
Don’t Pass (Wrong Bettor) This is the opposite of Pass Line: wins on 2 or 3, pushes on 12, loses on 7 or 11 on the come-out. During the point phase, wins if 7 comes before the point. House edge is 1.36% — slightly better than Pass Line.
Proposition Bets Single-roll bets like “any craps” (2, 3, or 12), “hard ways” (doubles), and specific numbers have much higher house edges (5-17%). These are where the casino makes most of its money from craps tables.