CrapsCentral Odds Explained: Understanding House Edge and Payouts

Craps can feel intimidating the first time you step up to a crowded table—so many bets, so many chips flying around. At its core, however, craps is a simple dice game driven entirely by the probabilities of two six-sided dice. Knowing the true odds for each dice outcome, how casinos pay those odds, and how house edge is calculated will help you make better decisions and avoid the worst bets. This article breaks down the basic probabilities, common bets, typical payouts, and the house edge you’ll actually face.

Basic dice probabilities

Two dice produce 36 equally likely combinations. The sums and their frequencies are:

- 2: 1/36

- 3: 2/36

- 4: 3/36

- 5: 4/36

- 6: 5/36

- 7: 6/36

- 8: 5/36

- 9: 4/36

- 10: 3/36

- 11: 2/36

- 12: 1/36

Because 7 appears most often (6/36 = 1/6), many bets are centered around whether 7 will appear before or after a particular point number. “True odds” reflect these raw probabilities; casino payouts sometimes match them and sometimes do not—and the difference is where the house edge comes from.

Pass Line and Don’t Pass (the foundation)

- Pass Line: On the come-out roll, a 7 or 11 wins and 2, 3, or 12 loses (12 is a push at some tables—check local rules). If one of 4,5,6,8,9,10 is rolled, that number becomes the point. The shooter must roll the point again before rolling a 7 for Pass Line bets to win. The Pass Line’s built-in house edge is about 1.41%.

- Don’t Pass: The opposite bet. On the come-out roll, 2 or 3 wins, 7 or 11 loses, and 12 is typically a push. After a point is set, Don’t Pass wins if a 7 appears before the point. Don’t Pass has a slightly lower house edge—about 1.36%—making it one of the best single bets on the table.

Odds bets: zero house edge

Once a point is established, players may take “odds” behind their Pass or Don’t Pass bets. Odds bets are paid at true odds:

- Point 4 or 10: true odds 2:1

- Point 5 or 9: true odds 3:2

- Point 6 or 8: true odds 6:5

Because these bets are paid at their true mathematical odds, they have no house edge by themselves. The only edge comes from the original Pass or Don’t Pass bet. That’s why a basic strategy for minimizing house edge is to bet the Pass or Don’t Pass and take the maximum allowable odds (subject to your bankroll and table limits). Example: If you place a $10 Pass Line bet with $30 in odds (total $40 on the table), the effective house edge becomes 1.41% * (10/40) = 0.3525%—substantially lower than the base bet’s 1.41%.

Place bets and common house edges

Place bets are wagers on specific numbers (4, 5, 6, 8, 9, 10) that you think will be rolled before a 7. Casinos pay different amounts for placing each number—usually slightly worse than true odds:

- Place 6 or 8 typically pay 7:6 on a winning $6 bet (house edge about 1.52%).

- Place 5 or 9 typically pay 7:5 on a $5 bet (house edge around 4.0%).

- Place 4 or 10 typically pay 9:5 on a $5 bet (house edge around 6.7%).

Because place bet payouts are slightly worse than true odds, they carry a house edge—even for the “best” (6 and 8), it’s higher than a Pass Line bet with full odds.

Field, Big 6/8, and other common bets

- Field bets are one-roll bets that usually pay even money except for 2 or 12, which may pay double or triple depending on the casino. Typical house edge is roughly 2.8% if 2 pays 2:1 and 12 pays 3:1.

- Big 6 and Big 8 pay even money for bets that 6 or 8 will roll before a 7. These bets are poor value because they pay 1:1 while true odds favor the house; house edge on Big 6/8 is about 9.09%. Better to place the 6 or 8 (place bet) instead.

- Proposition bets (one-roll or hardway bets) are where the casino’s advantage is largest. “Any 7” pays 4:1 in many casinos but the fair payout would be 5:1, giving a house edge of 16.67%. Hardways and other prop bets often have house edges in the teens or worse—avoid them unless you’re gambling for fun and accept the cost.

Why the house wins: true odds vs. payout odds

House edge is the long-run average loss per unit bet. It occurs whenever the payout odds offered are less favorable than the true mathematical odds. Example: for “Any 7,” probability = 1/6. Fair payout should be 5:1; casino payout of 4:1 creates negative expectation: EV = (1/6)*4 + (5/6)*(-1) = -1/6 = -16.67% per bet.

Combining bets changes your effective edge

Because odds bets carry no edge, combining them with a low-edge base bet dramatically reduces your overall expected loss as a percentage of money at risk. You should think in terms of total money at risk and how much of it is exposed to the house edge. Formula: combined house edge = house_edge_base * (base_bet / total_amount_risked). Use this to evaluate how much you reduce expected loss by layering odds.

Practical strategy and bankroll points

- For lowest house edge: Bet Don’t Pass (or Pass) and take the maximum odds allowed.

- Avoid proposition bets, big 6/8, and field bets with poor 2/12 payouts unless you like the action.

- Place 6 or 8 if you want a steady play off the point—better than Big 6/8, but not as good as Pass + odds.

- Set limits. Even low house-edge bets don’t guarantee short-term wins. Manage session size and walk away when either your win goal or loss limit is hit.

- Know table rules. Payouts vary between casinos (e.g., some pay 3:2 vs. 6:5 on certain bets) and this changes the math.

Closing summary

Craps offers a mixture of very favorable, fair, and extremely unfavorable bets. Pass/Don’t Pass and Come/Don’t Come combined with full odds give you the best long-term value, because the odds portion is paid at true probabilities. Place bets on 6 and 8 are the best of the “place” options. The worst culprits are one-roll proposition bets and Big 6/8—where casinos pay much less than true odds. Understanding the underlying dice probabilities and how payouts compare to true odds lets you minimize the house edge and enjoy the game with more informed choices.

CrapsCentral Odds Explained: Understanding House Edge and Payouts Craps can feel intimidating the first time you step up to a crowded table—so many bets, so many chips flying around. At its core, however, craps is a simple dice game driven entirely by the probabilities of two six-sided dice. Knowing the true odds for each dice outcome, how casinos pay those odds, and how house edge is calculated will help you make better decisions and avoid the worst bets. This article breaks down the basic probabilities, common bets, typical payouts, and the house edge you’ll actually face. Basic dice probabilities Two dice produce 36 equally likely combinations. The sums and their frequencies are: - 2: 1/36 - 3: 2/36 - 4: 3/36 - 5: 4/36 - 6: 5/36 - 7: 6/36 - 8: 5/36 - 9: 4/36 - 10: 3/36 - 11: 2/36 - 12: 1/36 Because 7 appears most often (6/36 = 1/6), many bets are centered around whether 7 will appear before or after a particular point number. “True odds” reflect these raw probabilities; casino payouts sometimes match them and sometimes do not—and the difference is where the house edge comes from. Pass Line and Don’t Pass (the foundation) - Pass Line: On the come-out roll, a 7 or 11 wins and 2, 3, or 12 loses (12 is a push at some tables—check local rules). If one of 4,5,6,8,9,10 is rolled, that number becomes the point. The shooter must roll the point again before rolling a 7 for Pass Line bets to win. The Pass Line’s built-in house edge is about 1.41%. - Don’t Pass: The opposite bet. On the come-out roll, 2 or 3 wins, 7 or 11 loses, and 12 is typically a push. After a point is set, Don’t Pass wins if a 7 appears before the point. Don’t Pass has a slightly lower house edge—about 1.36%—making it one of the best single bets on the table. Odds bets: zero house edge Once a point is established, players may take “odds” behind their Pass or Don’t Pass bets. Odds bets are paid at true odds: - Point 4 or 10: true odds 2:1 - Point 5 or 9: true odds 3:2 - Point 6 or 8: true odds 6:5 Because these bets are paid at their true mathematical odds, they have no house edge by themselves. The only edge comes from the original Pass or Don’t Pass bet. That’s why a basic strategy for minimizing house edge is to bet the Pass or Don’t Pass and take the maximum allowable odds (subject to your bankroll and table limits). Example: If you place a $10 Pass Line bet with $30 in odds (total $40 on the table), the effective house edge becomes 1.41% * (10/40) = 0.3525%—substantially lower than the base bet’s 1.41%. Place bets and common house edges Place bets are wagers on specific numbers (4, 5, 6, 8, 9, 10) that you think will be rolled before a 7. Casinos pay different amounts for placing each number—usually slightly worse than true odds: - Place 6 or 8 typically pay 7:6 on a winning $6 bet (house edge about 1.52%). - Place 5 or 9 typically pay 7:5 on a $5 bet (house edge around 4.0%). - Place 4 or 10 typically pay 9:5 on a $5 bet (house edge around 6.7%). Because place bet payouts are slightly worse than true odds, they carry a house edge—even for the “best” (6 and 8), it’s higher than a Pass Line bet with full odds. Field, Big 6/8, and other common bets - Field bets are one-roll bets that usually pay even money except for 2 or 12, which may pay double or triple depending on the casino. Typical house edge is roughly 2.8% if 2 pays 2:1 and 12 pays 3:1. - Big 6 and Big 8 pay even money for bets that 6 or 8 will roll before a 7. These bets are poor value because they pay 1:1 while true odds favor the house; house edge on Big 6/8 is about 9.09%. Better to place the 6 or 8 (place bet) instead. - Proposition bets (one-roll or hardway bets) are where the casino’s advantage is largest. “Any 7” pays 4:1 in many casinos but the fair payout would be 5:1, giving a house edge of 16.67%. Hardways and other prop bets often have house edges in the teens or worse—avoid them unless you’re gambling for fun and accept the cost. Why the house wins: true odds vs. payout odds House edge is the long-run average loss per unit bet. It occurs whenever the payout odds offered are less favorable than the true mathematical odds. Example: for “Any 7,” probability = 1/6. Fair payout should be 5:1; casino payout of 4:1 creates negative expectation: EV = (1/6)*4 + (5/6)*(-1) = -1/6 = -16.67% per bet. Combining bets changes your effective edge Because odds bets carry no edge, combining them with a low-edge base bet dramatically reduces your overall expected loss as a percentage of money at risk. You should think in terms of total money at risk and how much of it is exposed to the house edge. Formula: combined house edge = house_edge_base * (base_bet / total_amount_risked). Use this to evaluate how much you reduce expected loss by layering odds. Practical strategy and bankroll points - For lowest house edge: Bet Don’t Pass (or Pass) and take the maximum odds allowed. - Avoid proposition bets, big 6/8, and field bets with poor 2/12 payouts unless you like the action. - Place 6 or 8 if you want a steady play off the point—better than Big 6/8, but not as good as Pass + odds. - Set limits. Even low house-edge bets don’t guarantee short-term wins. Manage session size and walk away when either your win goal or loss limit is hit. - Know table rules. Payouts vary between casinos (e.g., some pay 3:2 vs. 6:5 on certain bets) and this changes the math. Closing summary Craps offers a mixture of very favorable, fair, and extremely unfavorable bets. Pass/Don’t Pass and Come/Don’t Come combined with full odds give you the best long-term value, because the odds portion is paid at true probabilities. Place bets on 6 and 8 are the best of the “place” options. The worst culprits are one-roll proposition bets and Big 6/8—where casinos pay much less than true odds. Understanding the underlying dice probabilities and how payouts compare to true odds lets you minimize the house edge and enjoy the game with more informed choices.