Calculate payouts and combined house edge for craps odds bets - the only bet in the casino with 0% house edge. See how taking maximum odds dramatically reduces your overall disadvantage.
Total Win
$46
Total return: $86
Combined Edge
0.352%
Down from 1.41%
Win Probability
45.45%
75.0% edge reduction with 3x odds
1.41%
Base Edge
0%
Odds Edge
0.352%
Combined Edge
| Point | Take Odds | Lay Odds | $10 Take Wins | $20 Lay Wins |
|---|---|---|---|---|
| 4 | 2:1 | 1:2 | $20 | $10 |
| 5 | 3:2 | 2:3 | $15 | $13 |
| 6 | 6:5 | 5:6 | $12 | $17 |
| 8 | 6:5 | 5:6 | $12 | $17 |
| 9 | 3:2 | 2:3 | $15 | $13 |
| 10 | 2:1 | 1:2 | $20 | $10 |
Monte Carlo simulation with 1,000 iterations
Your initial capital
Your expected advantage
Percentage of bankroll per bet
Total bets to simulate
Odds bets are the ONLY bet in the casino with 0% house edge. They pay true odds: 2:1 on points 4/10, 3:2 on 5/9, and 6:5 on 6/8. A $30 odds bet on point 4 pays $60. Always take maximum odds to minimize your combined house edge.
Odds bets are unique in casino gambling - they're the only bet with zero house edge. The casino offers true odds payouts, meaning the payout exactly matches the probability. You can only make this bet after establishing a point on your Pass Line or Don't Pass bet.
Casinos offer odds bets because you must first make a Pass/Don't Pass bet (with 1.4% edge). Odds bets dilute but don't eliminate the edge. They also encourage larger total wagers, which means more action and entertainment for the player while maintaining the casino's overall mathematical advantage.
Odds bets are additional wagers you can make behind your Pass Line or Don't Pass bet after a point is established. They pay true odds with 0% house edge - the only bet in the casino with no built-in advantage for the house. You must have a Pass/Don't Pass bet to make an odds bet.
Odds limits vary by casino. Common limits are 3x-4x-5x (3x on 4/10, 4x on 5/9, 5x on 6/8), 10x, or even 100x. The more odds you can take, the lower your combined house edge. Always take maximum odds if your bankroll allows.
3x-4x-5x means you can bet 3 times your Pass Line on points 4/10, 4 times on 5/9, and 5 times on 6/8. This system results in all wins paying exactly 6 times the Pass Line bet - $10 Pass wins $60 total with max odds on any point.
Lay odds are the opposite of taking odds. Since you're betting the 7 will roll before the point, you risk more to win less. Point 4/10 pays 1:2 ($40 to win $20), 5/9 pays 2:3 ($30 to win $20), and 6/8 pays 5:6 ($30 to win $25).
Your expected value on Pass Line remains negative regardless of odds. However, odds dilute that negative EV. With $10 Pass + $30 odds, your $0.14 expected loss is spread across $40 total bet (0.35% combined edge) instead of just $10 (1.41% edge).
Quick-start with common scenarios
Calculations follow the published mathematics of the game — combinatorics for cards, probability theory for dice, and expected-value accounting for wagers. Results are verified against independent references (primarily Wizard of Odds). No calculation here is an opinion or recommendation; it is arithmetic applied to the rules of the game.
This tool computes probability and expected value. It is not a betting system and cannot predict the outcome of any individual wager. If gambling is causing problems for you or someone you know, call the National Problem Gambling Helpline at 1-800-GAMBLER.
Actuary; widely cited casino-game probability reference. Used for house-edge and EV verification.
Responsible-gambling guidance and 1-800-GAMBLER helpline.

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Total Win
$46
Total return: $86
Combined Edge
0.352%
Down from 1.41%
Win Probability
45.45%
75.0% edge reduction with 3x odds