Calculate the odds, house edge, and expected loss for craps proposition bets. Understand why these center-table bets have the worst odds in the casino.
House Edge = P(lose) - P(win) × PayoutPayout
4:1
True: 30:6
House Edge
16.67%
Win Probability
16.67%
6 ways to win
Expected Loss
$1
Per bet
Win if 7 is rolled
Amount wagered
This bet has a 16.67% house edge. Compare to Pass Line (1.41%) or Place 6/8 (1.52%). Proposition bets are among the worst bets in the casino.
| Bet | Payout | True Odds | House Edge |
|---|---|---|---|
| Any Seven | 4:1 | 30:6 | 16.67% |
| Any Craps (2, 3, or 12) | 7:1 | 32:4 | 11.11% |
| Aces (Snake Eyes - Two) | 30:1 | 35:1 | 13.89% |
| Ace-Deuce (Three) | 15:1 | 34:2 | 11.11% |
| Yo-Eleven | 15:1 | 34:2 | 11.11% |
| Boxcars (Midnight - Twelve) | 30:1 | 35:1 | 13.89% |
| Hard 4 (2-2) | 7:1 | 8:1 | 11.11% |
| Hard 6 (3-3) | 9:1 | 10:1 | 9.09% |
| Hard 8 (4-4) | 9:1 | 10:1 | 9.09% |
| Hard 10 (5-5) | 7:1 | 8:1 | 11.11% |
Proposition bets (prop bets) are one-roll bets in craps placed in the center of the table. They include bets like Any Seven, Any Craps, specific numbers (2, 3, 11, 12), and hardway bets. They offer big payouts but have very high house edges.
Prop bets have house edges ranging from 9.09% (Hardways) to 16.67% (Any Seven). Compare this to the Pass Line at 1.41%. The high payouts are tempting but the odds heavily favor the house.
A hardway bet wins if the number is rolled as doubles (Hard 6 = 3-3, Hard 8 = 4-4) before a 7 or the "easy" way (any other combination). These stay active until they win or lose, unlike one-roll props.
Any Seven has the highest house edge at 16.67%. It pays 4:1 but the true odds are 5:1 (6 ways to win, 30 ways to lose). Aces and Boxcars at 30:1 have 13.89% edge (true odds are 35:1).
Quick-start with common scenarios
Payout
4:1
True: 30:6
House Edge
16.67%
Win Probability
16.67%
6 ways to win
Expected Loss
$1
Per bet