The craps table is undeniably the most intimidating, visually complex game on the entire casino floor.
Astonishingly, this specific bet is the only wager in the entire casino that carries an absolute, mathematical house edge of precisely zero percent.
The Mathematics of Free Odds
For example, if the true odds of winning are 2 to 1, the casino will only pay you 1.5 to 1, keeping the difference as their guaranteed profit.
If you place an Odds bet and win, the casino pays you exactly, perfectly at “true odds,” keeping absolutely zero mathematical edge for themselves.
- Winning Odds bets are paid out exactly at the true mathematical probability of the roll
- It dilutes the overall house edge of your entire craps session significantly
- You must place a standard Pass Line bet first before you can “Take the Odds”
Where to Put Your Chips
There is no clearly marked box labeled “Odds”; you must know exactly where to place your chips to execute the bet.
If the shooter successfully rolls the Point number again before rolling a 7, both your Pass Line bet and your massive Odds bet win.
The 3-4-5x Odds System
The standard structure utilized by almost all major Las Vegas casinos is the mathematically elegant “3-4-5x Odds” system.
For example, if you bet $10 on the Pass Line, and the Point becomes an 8, you can place a maximum of $50 in Free Odds behind it.
| Betting Strategy | Overall House Edge | Player Rating |
|---|---|---|
| Pass Line Only | 1.41% | Average |
| Pass Line + 5x Odds | 0.33% | Expert / Optimal |
The Craps Free Odds bet is a beautiful, hidden mathematical anomaly in an industry designed specifically to drain your wallet.