Pass Line + Free Odds — The Best Bet in Craps

Free Odds is the only zero house-edge bet in any casino. Back your Pass Line with 3-4-5x Odds and your combined edge drops to 0.37%. Full guide + 50,000-roll simulation.

0.37%Combined Edge
0%Odds House Edge
3-4-5×Standard Max
50kRolls Simulated

What Is the Pass + Odds?

The Free Odds bet is the only wager in any casino that pays at true mathematical odds — meaning the house has zero edge on it. You can only access it by first placing a Pass Line bet. Once a point is set, slide your Odds bet behind your Pass Line chips. The more you put on Odds relative to your flat bet, the lower your combined house edge.

📜 Casino LoreThe Odds bet is the only wager in any standard casino game with zero house edge — and casinos don't advertise it. It doesn't appear on the layout. There's no label, no painted rectangle, no dealer prompting you to make it. You have to know to ask. This was deliberate: when Nevada casinos formalised craps rules in the 1930s and 40s, the Odds bet was included as a player-friendly concession to attract high rollers, but kept invisible so casual players wouldn't find it. The maximum allowed multiple — 1x, 2x, 3-4-5x, 10x, 100x — varies by casino and is still one of the first things serious players research before choosing a table.

How It Works

After the come-out roll establishes a point, you can place an Odds bet directly behind your Pass Line bet on the layout. This bet pays at true odds — exactly what the math says it should pay — with no house cut:

  • Point 4 or 10: Pays 2:1 (2 ways to make it vs 6 ways to 7-out)
  • Point 5 or 9: Pays 3:2 (4 ways vs 6 ways)
  • Point 6 or 8: Pays 6:5 (5 ways vs 6 ways)

Most casinos offer 3-4-5x odds: 3x your Pass Line bet on 4/10, 4x on 5/9, 5x on 6/8. This structure conveniently makes every Odds payout a multiple of your Pass Line bet. InfiniteCraps supports max odds automatically.

50,000-Roll Simulation

Run the simulation below to see how the Pass + Odds performs across 50,000 dice rolls. Every run uses a fresh random seed — notice how individual sessions vary due to variance, while the long-run trend converges toward the theoretical house edge of 0.37%.

🎲 Pass + Max Odds Simulator
$10 flat bet · Monte Carlo · 50,000 rolls per run
Rolls
Decisions
Win Rate
Final P&L
Eff. Edge
Max Drawdown
Profit
Loss
Expected
Prior runs
Hit Run Once to simulate 50,000 rolls of Pass + Max Odds betting.

Strategy & Tips

The core principle: minimize your flat Pass Line bet, maximize your Odds bet. Your flat bet carries the 1.41% house edge. Your Odds bet carries 0%. By shifting money from the flat bet to Odds, you dilute the edge across your total action.

With 3-4-5x odds, the combined edge on total money at risk is 0.37%. With 10x odds (offered at some Vegas casinos), it drops to 0.18%. The math is unambiguous — take every dollar of Odds the casino will let you.

Pair this with the 3-Point Molly for maximum coverage: Pass Line plus two Come bets, all backed with max Odds. Three numbers working simultaneously at 0.37% combined edge — the most efficient craps strategy that exists.

How It Compares

BetHouse EdgePayoutNotes
Pass + Odds0.37%This page
Pass Line + Max Odds0.37%VariesLowest combined edge
Don't Pass + Lay Odds0.27%VariesLowest edge overall
Pass Line1.41%1:1Best flat bet
Place 6 or 81.52%7:6Best place bet
Field Bet2.78–5.56%1:1/2:1High action
Any 716.67%4:1Avoid

FAQ

Why is it called 'Free' Odds?
Because the casino takes no edge on it — it's 'free' of house advantage. The payout equals the true mathematical probability of the outcome.
When can I place the Odds bet?
Only after a point is established on the come-out roll. You place it by sliding chips directly behind your Pass Line bet.
What if the casino only offers 1x or 2x odds?
Still take them. 1x Odds drops combined edge to 0.85%, 2x to 0.61%. Always take whatever maximum odds the casino allows.
Does InfiniteCraps support Odds bets?
Yes — select 'Pass + Max Odds' from the strategy dropdown and Odds are placed automatically at 3-4-5x after every point is set.

🎲 Try It Free on InfiniteCraps

Practice the Pass + Odds on a live shared table. No signup, no download. $500 starting bankroll.

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