Start with the formula, because everything in this lesson flows from it.
Theoretical loss, referred to as "theo" in casino management, is the amount the house statistically expects to win from you based on how long you play, how much you bet, how many hands per hour the game runs, and the house edge. The formula is: average bet x hands per hour x hours played x house edge percentage = theoretical loss. This is the number casinos use to determine how much to return to you in the form of comps: free meals, free play credits, hotel upgrades, or hospitality events.
The comp return rate varies by casino and tier. A standard UK casino might return 10% of theo as comps for a regular player and up to 20-30% for a high-volume player. A few offer nominal free play on a points system. The exact rates are rarely published on a card, though asking the floor manager directly about the comp structure is entirely reasonable on a UKGC-licensed floor, where transparency about game terms is part of the licensing compact.
What Carnival Games Cost in Theo Per Hour
The comp calculation for carnival poker is illuminating precisely because it shows how expensive the comp return actually is. Consider Three Card Poker at a typical central London table: £20 ante, approximately 50 hands per hour, with an average effective bet of roughly £25 per hand after accounting for raises and folds at the Q-6-4 threshold. House edge: 3.37%.
Theo = £25 x 50 x 3.37% = £42.13 per hour.
At a 15% comp return rate, you receive approximately £6.32 per hour back in comps. You've generated £42.13 in expected losses to earn £6.32 in returns. The net cost of one hour of Three Card Poker at £20 ante, after comps, is approximately £35.81. The comps represent about 15% of what you've paid in edge, which is a loss ratio of 85% on your theo budget regardless of whether you "win" or "lose" on the night.
Caribbean Stud at the same £20 ante is worse. At 5.22% and 38 hands per hour with an average bet around £30 (accounting for the 2x raise): theo = £30 x 38 x 5.22% = £59.51 per hour. Comps at 15%: £8.93 per hour. Cost after comps: £50.58 per hour. You're paying half as much again per hour in theo compared to Three Card Poker for a similar stake size.
Why Blackjack Basic Strategy Is Better for Comps
Compare those carnival figures to blackjack basic strategy on a standard UK six-deck H17 shoe, where the house edge is approximately 0.50%. At £20 per hand, 60 hands per hour (blackjack runs faster than most carnival games): theo = £20 x 60 x 0.50% = £6 per hour. Comps at 15%: £0.90 per hour. Cost after comps: £5.10 per hour.
The ratio of comps earned to theo paid is identical across blackjack and carnival poker: you get the same 15% back in both cases. But the absolute comp amounts differ because the underlying theo amounts differ enormously. A player generating £6 per hour in blackjack theo receives 90p per hour in comps. A Three Card Poker player at the same stake generates £42 per hour in theo and receives £6.32 per hour in comps. The carnival player earns roughly seven times more comps per hour in absolute terms, but only because they're paying seven times more in expected losses to generate them.
This is the comp trap. Higher-edge games generate more comps in absolute terms. A player who optimises for comp accumulation is simultaneously optimising for maximum expected loss. The comp is not free: it costs approximately 85% of its face value in theo, regardless of the game. On blackjack basic strategy that 85% figure applies to a much smaller base. On Caribbean Stud it applies to a much larger one.
How UK Casinos Structure Comp Systems
UK casino comp systems are less formalised than Las Vegas equivalents. Most large London venues, including the Hippodrome at Leicester Square and Aspers Westfield Stratford, operate loyalty or member reward schemes that accumulate points on play and allow redemption against food, drink, or free play. The accumulation rate is typically opaque: you're told your points balance, not the conversion formula from bet size to points.
The UKGC's licensing conditions require operators to be transparent about game rules and to make theoretical return-to-player percentages available on request. This means you can ask the floor what the published RTP is on any game, including a carnival poker variant with a specific side bet. It doesn't mean they're required to hand you a comp calculator, but the basic edge information is your right as a player.
For players who genuinely want to maximise comp value relative to edge paid, the most efficient structure in the London casino landscape is: play blackjack basic strategy at the highest ante you're comfortable with, accumulate points at the lower theo rate per hand, and redeem against food and drink rather than free play (free play is typically subject to wagering conditions that reduce its real value further). Carnival poker is not the vehicle for comp optimisation. It's the vehicle for an accessible, moderately engaging evening on the floor, which is a different objective with a different cost structure. The casino poker trainers can help you model your personal theo and comp expectations before your next session.
Key numbers
| Game | Edge | Theo/hr (£20 ante) | Comps/hr (15% return) | Net cost/hr after comps |
|---|---|---|---|---|
| Blackjack (basic strategy) | 0.50% | ~£6 | ~£0.90 | ~£5.10 |
| Casino Hold'em | 2.16% | ~£25.92 | ~£3.89 | ~£22.03 |
| Ultimate Texas Hold'em | 2.19% | ~£36.25 | ~£5.44 | ~£30.81 |
| Three Card Poker | 3.37% | ~£42.13 | ~£6.32 | ~£35.81 |
| Let It Ride | 3.51% | ~£31.59 | ~£4.74 | ~£26.85 |
| Caribbean Stud | 5.22% | ~£59.51 | ~£8.93 | ~£50.58 |
Sources: UKGC safer gambling guidance, our calculation, our calculation, Gaming and Destinations: Casino Comps.