Crapless Craps Payout Calculator

This Crapless Craps payout calculator works out Place, Buy, Lay and Pass/Come payouts, including odds on 2, 3, 11 and 12. Compare the profit you keep with the total returned when the stake is taken down, and account for commission and chip rounding.

Quick example: at an 11:2 Place payout, $20 on 2 wins $110 profit. A $20 Buy bet on 2 wins $120 before commission, or $119 net if a 5% fee on the stake is charged only on wins. The chance of 2 arriving before 7 is the same for both bets: 1 in 7.

How to use the Crapless Craps payout calculator

1. Choose the bet. Place and Buy back a number against 7; Lay backs 7 against a number. The two Pass/Come modes distinguish a new flat bet from an existing point with additional odds.
2. Enter the amount actually staked. Keep an upfront Buy/Lay commission outside this field. For line plus odds, enter the original line bet and additional odds separately.
3. Match the table rules. Choose the Place paytable. For Buy/Lay, set the commission rate, collection time, rounding and minimum fee.
4. Check settlement. Exact mode shows the mathematical payout. If the table rounds winnings down, open Payout rounding and enter its chip value. Press Calculate payout after changing a field.

The tool models one working bet through its first win or loss, followed by taking it down. It does not simulate pressing, repeated hits, a whole shooter’s hand or changing working/off instructions. All amounts use one currency; the dollar examples also scale to other currencies with equivalent chip rules.

Crapless Craps payout table: Place vs true odds

“To” odds describe profit, excluding the returned stake. The main Place table below follows the published Cypress Bayou rules. Buy bets use the true-odds column before commission; additional Pass/Come odds use the same ratios without a Buy fee.

The house edges here are calculated per resolved bet, using the displayed Place ratios and exact payouts. They are not losses on every roll. Numbers grouped in one row are separate bets with matching probabilities, not a combined two-number wager.

Paytables vary. Maryland’s published standard rules also permit Place payouts of 25:5 on 2/12 and 13:5 on 3/11. These produce house edges of 14.2857% and 10.0000%, respectively. The calculator includes that alternative and a custom ratio. Maryland also specifies Buy payouts and upfront or win-only vig; see the regulator’s rules, chapters 5–6. This document describes that jurisdiction’s rules, not every casino’s current offer.

Cypress Bayou states that wagers of $20 or more on each of 2, 3, 11 and 12 are treated as Buy bets. A displayed Place example does not override such an automatic conversion: choose Buy whenever that is how your table settles the wager.

Place bet amounts that pay in whole dollars

With the common paytable and $1 chips, multiples of $2 on 2/12, $4 on 3/11, $5 on 4/5/9/10 and $6 on 6/8 avoid fractional-dollar Place winnings. For example, $24 on 3 wins $66, and $30 on 6 wins $35. These are arithmetic units, not advertised table minimums. An automatic Buy rule may change the bet type.

For additional true odds, any whole-dollar amount on 2/3/4/10/11/12 has a whole-dollar theoretical profit; use even-dollar odds on 5/9 and multiples of $5 on 6/8. A Buy fee can still introduce a fractional amount.

Buy bets: net profit, total return and vig

Let B be the bet, G the gross winning profit after any selected payout rounding, and C the commission. The calculator’s Buy commission basis is B. It first applies the percentage, then the selected fee rounding, then the minimum fee.

• Win-only commission: initial outlay = B; net win = G − C; total return = B + G − C; loss = B.
• Upfront commission: initial outlay = B + C; net win = G − C; total return = B + G; loss = B + C.

In upfront mode, the return is larger because the fee has already left your bankroll. Your net winning profit is unchanged, but losing is more expensive.

For the win-only Buy example, expected profit is (1/7 × $119) − (6/7 × $20) = −$0.142857…. With the fee upfront, expected profit is −$1. The latter is 5% of the $20 bet, but 4.7619% of the $21 initial outlay. Different denominators explain these two percentages; the cash loss is the same.

Minimum-fee example: a $10 Buy bet on 2 with a $1 minimum commission paid only on wins produces $59 net profit, $69 total return and a 1.4286% house edge. Without that minimum, an exact 5% commission would be $0.50 and the edge would be 0.7143%. Confirm both the fee rule and whether a $10 Buy bet is accepted.

Buy is not automatically the lower-cost option on every number. With an exact 5% win-only fee, Buy 6/8 has a 2.2727% edge, while Place 6/8 at 7:6 has a 1.5152% edge. Commission rounding and minimums can alter the comparison.

Pass Line and Come bets: why “crapless” still has an edge

A Crapless Pass bet wins immediately on 7. Every other first-roll total becomes its point, which must repeat before 7 for an even-money win. Come bets follow that sequence from their own first roll. The trade-off is that 11 no longer gives an immediate win and the rare extreme totals can become difficult points.

The Crapless flat-bet edge is therefore about $5.38 of expected loss per $100 initially wagered over many completed bets. It does not mean an individual $100 bet loses $5.38: that bet wins $100 or loses $100.

Point-set example: an existing $20 Pass bet has point 2, and you add $100 odds at 6:1. If 2 arrives before 7, the line wins $20 and the odds win $600: $620 profit and $740 returned including both stakes. If 7 arrives first, you lose $120. The conditional win probability is 1/7.

From that point onward, expected profit is (1/7 × $620) − (6/7 × $120) = −$14.285714…. Dividing by the current $120 outlay gives 11.9048%. This is conditional on already having point 2; it is not the overall Pass Line edge measured before the come-out roll. The line is already a contract bet at this stage.

Fair odds have zero expected value by themselves before rounding. Adding them increases the amount at risk and can reduce expected loss as a percentage of total money wagered, but it does not remove the flat line bet’s expected dollar loss. Odds limits and whether Come odds are working on a later come-out roll must be checked at the table.

Lay bets, where offered

A Lay bet reverses the number-versus-7 condition. Its fair profit ratio is 1:6 on 2/12, 1:3 on 3/11, 1:2 on 4/10, 2:3 on 5/9 and 5:6 on 6/8. Cypress Bayou publishes these Lay ratios. Availability of Lay does not establish availability of Don’t Pass or Don’t Come.

In this calculator, Lay commission uses the potential true-odds profit before payout rounding. For example, laying $120 against 2 offers $20 gross profit. At 5% commission on that profit, charged only on wins, the fee is $1: you win $19 net if 7 comes first, get $139 back if the stake is taken down, or lose $120 if 2 comes first. The win probability is 6/7 and expected loss is $6/7, giving a 0.7143% edge.

Commission timing is configurable because the same fair payout can lead to different net results. The payout and fee calculations are for the selected rules, not a claim that every venue offers that combination. Michael Shackleford’s Crapless analysis provides a separate comparison of Buy/Lay commission cases and the 5.382% flat Pass edge.

How the payout and probability formulas work

There are 36 equally likely ordered outcomes of two fair six-sided dice. Seven has 6 combinations. Let w be the number of combinations for the selected point. Other totals only postpone a decision while the bet remains working.

• Number before 7: p = w / (w + 6).
• 7 before number: p = 6 / (w + 6).
• True-odds profit on a number: G = bet × 6 / w.
• Place profit at a:b: G = bet × a / b.
• Expected net result: EV = p × net winning profit − (1 − p) × loss.
• House edge on initial outlay: −EV / initial outlay.

The full Crapless Pass win probability also includes its first roll: P(win) = 6/36 + Σ [(w/36) × w/(w+6)], summing separately over the ten possible points. This equals 6557/13860, or 47.3088%. An even-money payout gives house edge = 1 − 2P(win) = 373/6930, or 5.3824%.

These are exact dice-model probabilities, not simulation estimates. The interface rounds them for display. Its money fields accept up to two decimals; exact-mode results display up to four. Rounded winnings can reduce expected value, and a displayed 0.0000% is rounded to that precision.

Frequently asked questions

Related calculators and guides

• Standard Craps payout calculator — conventional line bets, Place/Buy/Lay, Field and Bonus Craps payouts.
• Table and social game calculators — browse the wider collection.
• Responsible gambling resources — limits, warning signs and support.

Calculating a payout does not predict a roll or make a negative-expectation wager profitable.