A free meal worth $40 can cost far more than $40 to earn if the player increases bets or playing time to chase it. Craps comp value begins with the casino’s estimate of theoretical loss, then applies a property-specific reinvestment policy.
The useful calculation is not “How much did I lose tonight?” It is “How much rated action did the casino record, what edge did it assign, and what share of that theoretical value is returned?”
Four steps from play to comp
A simplified model is:
Rated action = average rated wager × rated decisions
Theoretical loss = rated action × rated house edge
Comp value = theoretical loss × reinvestment rate
The terms are estimates at a live craps table:
- Average rated wager may be observed periodically rather than tracked chip by chip.
- Rated decisions may come from time played and an assumed pace.
- Rated house edge may be a standard game factor or a blend based on the wager mix.
- Reinvestment rate is a marketing policy, not a universal casino percentage.
Because every input can vary by property, the same visible player may receive different theoretical values at two casinos.
One layout contains bets with different prices
Craps is difficult to rate because the chips on the layout do not all create the same expected casino win.
| Wager component | Example amount | Mathematical point |
|---|---|---|
| Pass line | $25 | Low but positive house edge |
| Odds behind pass | $50 | Pays true odds; no built-in house edge |
| Place 6 and 8 | $60 total | Positive house edge, different resolution pattern |
| Hardway | $10 | Higher edge than the line or place 6/8 |
The visible total is $145, but treating all $145 as if it carried one identical edge would be crude. A casino may exclude odds from theo, rate them at reduced value, use a standard blended factor or rely on a simplified average-bet policy.
A worked blended-edge illustration
Assume a property uses the following simplified snapshot for one resolution-equivalent cycle:
| Component | Amount | Assumed edge | Theo contribution |
|---|---|---|---|
| Pass line | $25 | 1.41% | $0.3525 |
| Odds | $50 | 0.00% | $0.0000 |
| Place 6 and 8 | $60 | 1.52% | $0.9120 |
| Hardway exposure | $10 | 9.09% | $0.9090 |
| Total | $145 | — | $2.1735 |
The simplified blended edge is:
Blended edge = total theo contribution ÷ total exposure
$2.1735 ÷ $145 ≈ 1.50%
If the rating system estimates $11,600 of equivalent rated action during the session:
Theo = $11,600 × 0.0150 ≈ $174
At an illustrative 20% reinvestment rate:
Comp value = $174 × 0.20 = $34.80
The 20% is not an industry promise. It is an example input. A property may use another percentage, offer value through rooms or free play rather than immediate food, apply host discretion, or withhold benefits until future visits.
Official rules show why the components differ. The Massachusetts craps rules list pass, place, hardway and one-roll wagers separately and specify true-odds payouts for supplemental line-bet odds. See the Massachusetts Gaming Commission craps rules.
Why the player’s calculation may not match the casino
A player can reconstruct every wager and still disagree with the rating because the system may use different assumptions.
Odds treatment
The player sees $50 of odds as real money at risk. The casino may give it little or no theoretical credit because it pays at true odds. This is the most common source of “I had much more on the table” complaints.
Time and pace
Craps decisions do not arrive in a neat fixed rhythm. Long rolls, crowded layouts, buy-ins, disputes, prop calls and dealer changes alter pace. A system may apply a standard decisions-per-hour estimate rather than count every resolution.
Average-bet observation
The floor may record the average when the player is at $75 even though the player later presses to $150. The reverse can also happen. A human rating is an estimate, not a complete ledger.
Bet mix
Two players with the same total chips working can create different theo if one uses line and odds while the other concentrates on high-edge one-roll wagers. A single “average bet” cannot perfectly express that difference.
The operational rating process is covered separately in craps rating and comps. This page focuses on translating the rating into estimated dollar value.
Actual loss is not theoretical loss
Suppose the calculated theo is $174, but the player wins $800. The comp model does not become zero merely because the session was profitable. The casino still recorded exposure that, across repeated comparable play, is expected to favor the house.
Likewise, a player who loses $1,500 during a short period does not automatically generate $1,500 of comp basis. Actual loss can influence host judgment or loss-based offers, but it is not interchangeable with theo.
The distinction mirrors expected loss: actual results are noisy; theoretical value is an average based on action and edge.
The comp-chasing mistake
Assume another hour of play is expected to create $90 of additional theoretical loss and the property returns 20% as comp value:
Additional comp = $90 × 0.20 = $18
Playing longer to earn the $18 exposes the player to an expected $90 cost. The comp reduces the net theoretical cost to $72 only if the reward is fully usable and would otherwise have been purchased at its stated value.
A room listed at $200 may not be worth $200 to a player who would not have booked it. Free play may require another visit and more wagering. Food credit may expire. The practical value of a comp is therefore:
Personal comp value = usable benefit × value to the player
That can be lower than the casino’s retail label.
A clean way to evaluate the offer
Keep four numbers separate:
- Theo: the casino’s estimated long-run win from the rated play.
- Issued comp value: the property’s stated reward amount.
- Personal value: what the reward is genuinely worth to you.
- Actual session result: what you happened to win or lose.
A comp can make planned entertainment cheaper. It does not turn negative-expectation action into profit, and it is rarely rational to add wagers solely to qualify for it. Use the expected-loss calculator for the cost side and treat the reward as a partial rebate, not the purpose of the session.