The short answer
On a standard “1-3-4-6-30-40” paytable, the Pair Plus house edge is 2.32%, meaning the casino keeps $2.32 for every $100 wagered.
The full calculation
In 3-Card Poker, there are 22,100 possible 3-card combinations. The Expected Value ($EV$) is calculated by multiplying the probability of each hand by its payout:
- Straight Flush: $P = 0.0022$ | Payout: 40:1
- Three of a Kind: $P = 0.0024$ | Payout: 30:1
- Straight: $P = 0.0326$ | Payout: 6:1
- Flush: $P = 0.0496$ | Payout: 3:1
- Pair: $P = 0.1694$ | Payout: 1:1
- No Pair (Loss): $P = 0.7439$ | Payout: -1
$$EV = (0.0022 imes 40) + (0.0024 imes 30) + (0.0326 imes 6) + (0.0496 imes 3) + (0.1694 imes 1) - 0.7439$$ $$EV = 0.088 + 0.072 + 0.1956 + 0.1488 + 0.1694 - 0.7439 = -0.0701 \dots$$ (Note: Edge varies by paytable; the 2.32% edge applies to the most player-favorable tables.)
What this means at the table
At 50 hands per hour and $25 per bet, your hourly “tax” is roughly $29. Compare this to the “Trips” bet in Ultimate Texas Hold’em, which can often cost you double that amount. Pair Plus is a “low-bleed” side bet that allows for frequent small wins (roughly 1 in every 4 hands).
Common mistakes around this number
- Ignoring the Paytable: Some casinos drop the Flush payout from 3:1 to 2:1. This single change spikes the house edge from 2.32% to 7.28%. Always look at the printed payouts on the felt before you bet.
- The “Flush is harder than a Straight” Trap: In 3-card poker, a Straight is mathematically harder to hit than a Flush, which is why it pays more. Don’t apply 5-card poker logic here.
Where to go next
- /side-bets/carnival-game-side-bets-ranked/: See how Pair Plus compares to other high-payout carnival games.
- /side-bets/best-side-bets-if-you-insist/: Why Pair Plus is consistently ranked as the “best of a bad bunch” for recreational players.
In Detail
Pair Plus looks harmless because you are not fighting the dealer. You are just asking your own three cards to behave. The problem is the price of that request.
What the bonus circle is really selling
At the table, Pair Plus House Edge should be seen as entertainment stacked on top of the real game. That stack matters: when a player adds a side bet every round, the total amount exposed to the house edge rises fast.
In carnival games, side bets are often built into the visual identity of the table. The layout gives them their own circle, their own name, and sometimes their own paytable card, making them feel like part of the main event.
The math under the sparkle
Pair Plus math is based on the chance of pair, flush, straight, trips, and straight flush outcomes. A simple form is $EV=P(pair)\times a+P(flush)\times b+P(straight)\times c+P(trips)\times d+P(straight\ flush)\times e-1$. Change the payout for one hand class and the whole price changes.
A clean way to think about the subject is this: the casino does not need every hand, spin, or roll to lose. It only needs the average price to be in its favor after enough decisions. One lucky hit can beat the math for a moment; repeated action lets the math stand back up.
The mistake players repeat
The mistake is judging the bet by the biggest payout printed on the layout. The casino prints the dream in large type; the probability is usually hiding in small invisible type.
The punchy rule is simple: do not pay extra just because the game made the extra bet easy to reach. Felt layout is not advice. A glowing machine screen is not advice. A cheering table is not advice. Your bankroll needs numbers, not applause.
The casino-floor truth
The casino-floor truth about Pair Plus House Edge is that side bets are often margin boosters, not player favors. They add color to the game, help dealers create excitement, and give the house more ways to earn from the same seat. Enjoy one as entertainment if you must, but never confuse the bonus circle with the best bet on the layout.
The practical takeaway for pair plus house edge: buy the excitement only with money you already decided was entertainment money. A side bet can make a round more fun, but it should never become the tail wagging the whole bankroll.