The short answer
The house edge on the Pass Line bet is exactly 1.41%. For every $100 you wager, you are mathematically expected to lose $1.41.
The full calculation
To find the house edge, we calculate the probability of winning versus the probability of losing. The Pass Line bet is resolved in two stages: the Come-Out roll and the Point phase.
- Winning on the Come-Out: 7 and 11 roll 8 times out of 36. $P = 8/36 pprox 0.2222$.
- Losing on the Come-Out: 2, 3, and 12 roll 4 times out of 36. $P = 4/36 pprox 0.1111$.
- Winning in the Point phase: We sum the probability of establishing each point (4, 5, 6, 8, 9, 10) and then successfully hitting that point before rolling a 7.
The total probability of winning a Pass Line bet ($P_{win}$) is approximately 0.492929. The probability of losing ($P_{loss}$) is 0.507071.
The Expected Value ($EV$) is: $$EV = (P_{win} imes 1) + (P_{loss} imes -1)$$ $$EV = 0.492929 - 0.507071 = -0.014142$$
Converting to a percentage, the house advantage is exactly 1.414%.
What this means at the table
In a standard craps game with 100 rolls per hour, you will resolve roughly 30 Pass Line decisions. If you flat-bet $25 on the line, your theoretical loss is about $10.60 per hour. Compared to other games on the floor, this is an exceptionally cheap way to play. It’s a slow bleed that keeps you in the action long enough to catch a lucky streak.
Common mistakes around this number
Players often think that because the shooter just “Sevened Out,” the next Come-Out roll is less likely to be a 7. This is the Gambler’s Fallacy. The 1.41% edge applies to every new Pass Line bet regardless of what happened five minutes ago. Another mistake is mixing up the house edge with the “Hold.” The casino might hold 15% of the money on the table, but that’s because players keep re-betting their chips; the mathematical edge on each individual bet remains 1.41%.
See also
Check the Craps Odds Chart for payouts or compare this to the “Dark Side” in Craps House Edge Dont Pass.
In Detail
The pass line is the front door of craps, and thankfully it is not a trap door. It is one of the better bets before players decorate it with bad side action.
This page is about the cost of the standard right-way bet. On the surface, that may sound like one small corner of craps, but in a real casino it touches the three things that decide whether a player survives the table: the written rule, the payout, and the way the bet feels when chips are already in action. Craps is dangerous for beginners because a bet can feel smart, social, or lucky while still being badly priced.
The math that matters: Two dice create 36 equally likely ordered combinations. The shape of the game comes from that grid: 7 has 6 combinations, 6 and 8 have 5 each, 5 and 9 have 4 each, 4 and 10 have 3 each, 3 and 11 have 2 each, and 2 and 12 have only 1 each. Pass line is about 1.41%. A quick estimate is $\text{action}\times0.0141$. So $1,000 of resolved action is about $14.10 theoretical loss. Expected value is the grown-up way to price a bet: $EV=\sum(P_i\times W_i)-\sum(P_j\times L_j)$. If the payout is smaller than the true probability deserves, the difference is the house edge.
What it means on the felt: Odds behind the pass line reduce the blended edge because odds pay true odds. A player who understands this subject does not need to act like a robot. You can still enjoy the noise, the shooter, the stick calls, and the little rush when the dice leave the hand. The point is to know when you are paying for entertainment and when you are making a lower-cost decision.
Casino-floor truth: Craps is built to move. The table crew wants clear bets, fast decisions, and clean payouts. The layout also nudges attention toward action. The safest-looking move is not always the cheapest move, and the loudest bet is almost never the best one. Good craps play is not about predicting the next roll. It is about refusing to overpay for it.
The mistake to avoid: Do not call pass line a winning system. It is a good negative-expectation bet, not a secret escape hatch. Also, never judge this topic by one lucky hit or one ugly loss. Short sessions are noisy. The math only shows its face over repeated decisions, which is exactly why casinos are patient and players are usually not.