COMPREHENSIVE STATISTICAL GUIDE
Video poker stands apart from other casino games because the odds are transparent, mathematically fixed, and directly influenced by player decisions. Unlike slot machines where outcomes are hidden behind opaque RNG algorithms, every video poker variant uses a standard deck of cards with known probabilities. This means you can calculate the exact expected return for every possible hold decision on every possible hand.
Understanding odds is the foundation of smart video poker play. It determines which game you should choose, which cards you should hold, and what kind of bankroll you need to weather variance. A player who grasps probability can consistently select games with higher returns and make optimal hold/discard decisions that minimize the house edge to fractions of a percent.
This guide covers everything from basic hand probabilities on the initial deal, to return-to-player (RTP) comparisons across major variants, variance analysis, Royal Flush frequencies by game type, house edge context, and expected value calculations.
The table below shows the probability of being dealt each poker hand on the initial 5-card deal from a standard 52-card deck. There are exactly 2,598,960 possible 5-card combinations (C(52,5) = 2,598,960).
| Hand | Combinations | Probability | Odds (1 in ...) |
|---|---|---|---|
| Royal Flush | 4 | 0.000154% | 649,740 |
| Straight Flush | 36 | 0.00139% | 72,193 |
| Four of a Kind | 624 | 0.0240% | 4,165 |
| Full House | 3,744 | 0.1441% | 694 |
| Flush | 5,108 | 0.1965% | 509 |
| Straight | 10,200 | 0.3925% | 255 |
| Three of a Kind | 54,912 | 2.1128% | 47 |
| Two Pair | 123,552 | 4.7539% | 21 |
| One Pair | 1,098,240 | 42.2569% | 2.4 |
| No Pair (High Card) | 1,302,540 | 50.1177% | 2.0 |
Key insight: Over half of all initial deals produce no pair at all. Only about 42% result in a single pair. This is why the draw phase is essential in video poker -- it gives you a second chance to improve your hand. Optimal strategy focuses on maximizing expected value through smart hold decisions on these common weak starting hands.
Return to Player is the percentage of wagered money a video poker machine returns to players over time when played with perfect strategy. Higher RTP means a lower house edge and better value for the player. The table below compares RTP across the most popular video poker variants and pay table configurations.
| Game | Pay Table | RTP | Variance | Play |
|---|---|---|---|---|
| Jacks or Better | 9/6 (Full Pay) | 99.54% | Low | Play Free |
| Jacks or Better | 8/5 | 97.30% | Low | Play Free |
| Bonus Poker | 8/5 | 99.17% | Medium | Play Free |
| Double Bonus | 10/6 (Full Pay) | 100.17% | High | Play Free |
| Double Bonus | 9/7 | 99.11% | High | Play Free |
| Double Double Bonus | 9/6 | 98.98% | Very High | Play Free |
| Triple Double Bonus | 9/7 | 99.58% | Extreme | Play Free |
| Deuces Wild | Full Pay | 100.76% | Medium | Play Free |
| NSU Deuces Wild | -- | 99.73% | Medium | Play Free |
| Bonus Deuces Wild | Full Pay | 99.45% | High | Play Free |
| Joker Poker (Kings+) | Full Pay | 100.64% | Medium | Play Free |
Games with RTP over 100% (like Full Pay Deuces Wild at 100.76% and Double Bonus 10/6 at 100.17%) theoretically give the player a mathematical edge over the house when played with perfect strategy. These are extremely rare in modern casinos but remain valuable benchmarks for comparing video poker value.
Variance (or volatility) measures how much your actual results deviate from the expected return over a given number of hands. Two games can have identical RTP but wildly different session experiences depending on variance. Understanding variance helps you choose games that match your bankroll and risk tolerance.
Practical example: Consider a player betting $1.25 per hand (5 coins at $0.25). After 100 hands on Jacks or Better (SD ~4.4), their results typically fall within +/- $55 of the expected return. On Triple Double Bonus (SD ~9.5), the same 100 hands can swing +/- $119. Same RTP range, very different bankroll requirements.
The Royal Flush is the highest-paying hand in video poker and contributes significantly to overall RTP. However, the frequency of Royal Flushes varies across games because optimal strategy differs -- wild card games open additional Royal Flush possibilities, while high-variance bonus games sometimes sacrifice Royal Flush frequency for bigger quad payouts.
| Game | Natural Royal | Wild Royal | Combined |
|---|---|---|---|
| Jacks or Better 9/6 | 1 in 40,391 | -- | 1 in 40,391 |
| Bonus Poker 8/5 | 1 in 40,233 | -- | 1 in 40,233 |
| Double Bonus 10/6 | 1 in 48,048 | -- | 1 in 48,048 |
| Double Double Bonus 9/6 | 1 in 40,782 | -- | 1 in 40,782 |
| Triple Double Bonus 9/7 | 1 in 40,643 | -- | 1 in 40,643 |
| Deuces Wild (Full Pay) | 1 in 45,282 | 1 in 5,348 | 1 in 4,909 |
| Joker Poker (Kings+) | 1 in 41,215 | 1 in 12,106 | 1 in 9,359 |
Wild card advantage: In Deuces Wild, you will see a Royal Flush roughly once every 4,909 hands when counting both natural and wild Royals combined. Compare that to Jacks or Better at 1 in 40,391 -- over 8 times more frequent. However, natural Royals pay 4,000 coins (at max bet) while wild Royals in Deuces Wild only pay 125 coins, so the actual dollar contribution differs substantially.
House Edge and RTP are two sides of the same coin. The relationship is simple:
If a game has an RTP of 99.54%, the house edge is 0.46%. This means for every $100 wagered, the casino expects to keep $0.46 on average over the long run. Video poker with optimal strategy offers some of the lowest house edges in the casino.
| Game | Typical House Edge | RTP |
|---|---|---|
| Video Poker (Full Pay) | 0.20% - 0.50% | 99.50% - 99.80% |
| Blackjack (Basic Strategy) | 0.50% | 99.50% |
| Craps (Pass/Don't Pass) | 1.36% - 1.41% | 98.59% - 98.64% |
| Baccarat (Banker) | 1.06% | 98.94% |
| Roulette (European) | 2.70% | 97.30% |
| Roulette (American) | 5.26% | 94.74% |
| Slot Machines | 2% - 15% | 85% - 98% |
Why video poker wins: Full-pay video poker gives players a house edge under 0.5%, rivaling blackjack with basic strategy. Unlike blackjack, video poker does not require card counting or dealing with other players and dealer decisions. And unlike slots, the pay table is fully transparent -- you know the exact mathematical return before you place a single bet.
Expected Value (EV) is the average amount you expect to win or lose on a specific play decision. In video poker, you calculate EV for every possible combination of held cards and choose the hold that produces the highest EV. This is the mathematical basis for optimal strategy.
For any given hold decision, EV is calculated by examining every possible draw outcome, multiplying each by its payout, and dividing by the total number of possible draws:
Suppose you are dealt: J♠ J♥ 8♦ 5♣ 3♥
You have multiple hold options. The key decision is between holding the pair of Jacks versus speculative draws. Here is how EV guides the decision:
The pair of Jacks has the highest EV at 7.68 coins, so optimal strategy says hold the pair. This process applies to every single hand you are dealt -- always choose the hold combination with the highest expected value.
Every departure from optimal EV costs you money over time. A player who makes perfect EV-based decisions on a 9/6 Jacks or Better machine achieves the full 99.54% RTP. A player who makes even occasional mistakes -- like holding a kicker with a pair, or breaking a paying hand to chase a straight -- might only achieve 97-98% RTP, costing them $15-$25 per hour at typical play speeds.
Continue learning about video poker with these guides and resources: