A video poker hand frequency table shows how often each final hand is expected to appear after the deal, hold, draw, and correct strategy. It is not a promise for your next session. It is a long-run map showing how rare hands, common hands, paytable values, and player decisions combine into the game’s RTP.
Quick Facts
- A frequency table is based on final hands, not only the first five cards dealt.
- Strategy changes the table because different holds create different final outcomes.
- The same game name can have different frequency results if the paytable changes strategy.
- Royal flushes are rare, but they can carry a large share of the long-term return.
- Full houses, flushes, straights, and two pair show up far more often but pay less.
- Frequency alone is not RTP. Frequency must be multiplied by payout.
- A table is most useful when paired with a video poker analyzer.
Plain Talk
A hand frequency table answers one practical question:
How often should each paying hand appear if this game is played correctly for a very long time?
In Jacks or Better, the table might show expected rates for royal flush, straight flush, four of a kind, full house, flush, straight, three of a kind, two pair, and high pair. Those rates are not evenly spaced. High pairs and two pair arrive often. Royal flushes arrive rarely.
That is why video poker feels strange to many players. A machine can show a strong theoretical return, yet the player can still lose session after session while waiting for rare hands that may not arrive.
This page explains frequency tables. For the broader odds structure, read the video poker odds page. For the cost side, read video poker house edge.
How It Works
A frequency table is built in layers.
First, the game has a paytable. That paytable decides what each final hand is worth.
Second, the machine deals five cards from the deck. In video poker, the draw decision matters. You choose which cards to hold and which to replace.
Third, the strategy model evaluates possible holds. A proper model compares the expected value of different choices, not just the hand that looks exciting.
Fourth, final outcomes are counted over all possible deals and draws. Those final outcomes produce the hand frequency table.
A simplified table might look like this:
| Final hand | Practical meaning | Why it matters |
|---|---|---|
| Royal flush | Extremely rare top award | Often boosted at max coin |
| Straight flush | Very rare strong hand | Helps return but not often |
| Four of a kind | Rare but visible | Volatility depends on its payout |
| Full house | Important mid-tier hand | Affects 9/6 vs 8/5 Jacks or Better |
| Flush | Important mid-tier hand | Small paytable changes matter |
| Straight | Medium-frequency hand | Helps stabilize return |
| Three of a kind | Common enough to matter | Often keeps sessions alive |
| Two pair | Common | Major contributor to ordinary payback |
| High pair | Very common | Base reward in Jacks or Better |
The Wizard of Odds Jacks or Better tables show how paytables and returns are calculated across different Jacks or Better schedules. Machine integrity is a different issue: lab and regulator standards such as GLI-11 Gaming Devices and the Nevada Technical Standards for Gaming Devices deal with device behavior, RNG requirements, and testing controls.
Video Poker Hand Example
You are dealt:
K♠ Q♠ J♠ 7♦ 2♣
In many Jacks or Better situations, holding K♠ Q♠ J♠ makes sense because it gives you three to a royal flush and also draw paths to straight, flush, straight flush, high pair, and royal flush outcomes. But the frequency table does not say, “you are likely to hit the royal soon.” It says that across all comparable decisions, each possible final hand has a long-run rate.
Now compare that to holding only K♠ Q♠. That changes the draw. You get three new cards instead of two. The possible outcomes change. So the final-hand frequency distribution changes too.
That is why hand frequency tables are strategy tables wearing a math coat. They are not just “how often cards appear.” They are how often hands appear after a defined strategy is used.
From the Casino Side:
Slot managers do not read hand frequency tables the same way players do. Players look for hope. Operators look for theoretical performance.
A casino cares about:
- Paytable configuration
- Coin-in by denomination
- Average bet per hand
- Hands per hour
- Theoretical loss
- Volatility profile
- Jackpot exposure
- Comp value
- Player tracking behavior
- Whether a game attracts skilled players
A full-pay game with a narrow edge can look attractive to sharp players but less attractive to operators if it produces low theoretical hold and high comp pressure. A weaker paytable may produce a stronger casino hold, but it can also drive knowledgeable players away.
Surveillance and slot technicians care about something else: disputes. If a player claims a machine “should have paid” because they misunderstood the hand ranking or paytable, the paytable and machine logs matter more than the player’s memory.
Common Mistakes
- Reading a frequency table as a short-session forecast.
- Thinking a rare hand is “due” because the table shows a long-run cycle.
- Comparing two games by frequency alone instead of payout times frequency.
- Ignoring that strategy changes final-hand frequency.
- Assuming all Jacks or Better tables have the same return.
- Forgetting that max coin can change the royal flush contribution.
- Using one variant’s table to judge another variant.
Hard Truth
A hand frequency table is not a schedule. The machine does not owe you a royal flush because the math says royals exist in the long run. The table describes the road. It does not promise where your session will end.
FAQ
Is a hand frequency table the same as a paytable?
No. The paytable shows what each hand pays. The frequency table estimates how often each hand appears. RTP comes from combining both.
Does the frequency table change if I play badly?
Yes. Bad holds change the final-hand distribution. A player who throws away the wrong cards will not match the theoretical frequency table.
Why do rare hands matter so much?
Because some rare hands pay a lot. A royal flush may appear rarely, but its payout can carry a large part of the long-term return.
Can I use one table for every video poker game?
No. Jacks or Better, Deuces Wild, Double Double Bonus, Joker Poker, and other variants have different decks, paytables, wild cards, and strategy rules.
Does a frequency table prove a machine is fair?
No. It explains mathematical expectation. Fairness, randomness, approval, and device integrity are handled through testing, certification, and regulation.
Why does 9/6 Jacks or Better appear in so many examples?
Because it is a classic benchmark. It has a famous full-pay return when played correctly, so it is useful for teaching paytable math.
Deeper Insight
Hand frequency tables are powerful because they separate emotional memory from mathematical structure.
A player remembers the four of a kind that saved a session. A table shows how much four of a kind contributes over many hands. A player remembers missing four to a royal. A table shows how often royal flush outcomes actually occur after strategy is applied.
The important part is contribution to return. A hand that appears often but pays little may contribute less than a hand that appears rarely but pays heavily. This is why video poker cannot be understood by saying, “I get pairs all the time.” You have to ask what those pairs pay, what you sacrificed to chase them, and how the whole paytable fits together.
Hand frequency tables also explain why full house and flush payouts matter in Jacks or Better. They appear often enough that a one-coin change in the paytable can make a meaningful difference across long play. That is the backbone of the famous 9/6 versus 8/5 comparison.
Formula / Calculation
RTP = Sum of each hand probability × hand payout
House Edge = 1 - RTP
Expected Return = Total Amount Wagered × RTP
Expected Loss = Total Amount Wagered × House Edge
Hand Contribution = Probability of Hand × Payout for Hand
Total Amount Wagered = Bet Size × Number of Hands
Average Loss Per Hour = Hands Per Hour × Average Bet × House Edge
Formula Explanation in Plain English
The frequency table gives the probability side. The paytable gives the payout side. Multiply them together for each hand, add those pieces, and you get the theoretical return.
If a full house appears often enough, lowering its payout hurts. If a royal flush is boosted only at max coin, playing fewer coins may cut the top-award contribution. If you use the wrong strategy, the hand probabilities shift away from the published model.
A frequency table is useful, but only when you respect all three parts: paytable, strategy, and time scale.
Related Reading
Start with the full video poker guide if you want the big picture. Then compare this page with video poker odds, video poker RTP, and video poker house edge. For the rare-hand side, read royal flush probability and royal flush cycle. To test a hand instead of guessing, use the video poker analyzer and the variance simulator.