If you walk through a casino and observe the video poker machines, you will likely see dozens of players mindlessly slapping the "Draw" button as fast as they can.
Video poker is a game of intense, calculable skill. Because the machine uses a standard, simulated 52-card deck, the mathematics of the game are completely transparent and solvable.
In this article, we are going to break down the absolute perfect mathematical strategy for the most popular and foundational version of the game: Jacks or Better.
Reading the Machine: The Secret of the Paytable
Before you even touch a button or insert a dollar, your absolute first task is to read the payout table printed directly on the glass of the machine.
This means the machine pays exactly 9 coins for a Full House (per 1 coin bet) and 6 coins for a Flush.
An 8/5 machine (paying 8 for a Full House and 5 for a Flush) drops the RTP down to 97.3%, massively increasing the casino's profit margin purely because you didn't read the glass.
If you sit down at an 8/5 or 7/5 machine, you have mathematically lost the game before you even pressed the deal button.
The Math Behind the Maximum Bet
Once you find a 9/6 machine, you must adhere to the second unbreakable rule of Video Poker: you must ALWAYS play the maximum number of coins allowed (usually 5 coins).
If you bet 1 coin, a Royal Flush pays 250 coins. But if you bet the maximum 5 coins, the Royal Flush payout jumps massively to 4,000 coins (instead of the mathematically linear 1,250).
This massive, disproportionate bonus for hitting a Royal Flush on Max Bet is the entire mathematical engine that allows the game to achieve a 99.54% RTP.
Instead, move to a cheaper machine (like a 25-cent machine) and play 5 coins there ($1.25 a hand).
Step 3: Executing Basic Strategy (The Hierarchy of Hands)
The golden rule is: always play the hand that has the highest Expected Value, even if it means throwing away a guaranteed winning hand to chase a bigger one.
For example, if you are dealt a High Pair (e.g., two Jacks, a guaranteed 5-coin payout) BUT you also have 4 cards to a Royal Flush (e.g., J, Q, K, A of Hearts), what do you do?
The payout for a standard Flush (30 coins) is not large enough to justify throwing away the guaranteed payout and the chance to draw Three of a Kind or Four of a Kind.
One of the most common amateur mistakes is holding a "Kicker" (an extra high card) alongside a pair. If you are dealt a pair of 2s and an Ace, NEVER hold the Ace.
The Simplified Jacks or Better Strategy Hierarchy
- Guaranteed Massive Wins: Take your hands off the buttons and make sure you don't accidentally discard a card.
- 2. 4 Cards to a Royal Flush: The only hand powerful enough to make you break a guaranteed winner. If you have a High Pair and 4 to a Royal, dump the pair.
- 3. Full House, Flush, Straight, Three of a Kind: Hold all of these guaranteed winning hands. DO NOT break a Flush or Straight to chase a Royal.
- 4. 4 Cards to a Straight Flush: Hold these. The payout for a Straight Flush (250 coins) justifies the risk.
- 5. Two Pair: Hold both pairs and draw ONE card for a Full House. Never break Two Pair to hold a high card.
- 6. High Pair (Jacks, Queens, Kings, Aces): Hold the pair. Throw away everything else (including an open-ended straight draw).
- 7. 4 Cards to a Flush: Hold the four suited cards. This is mathematically better than holding a Low Pair (2s through 10s).
- 8. Low Pair (2s through 10s): Hold the pair. Throw away everything else (including a single High Card). Do NOT hold a kicker.
- The Open-Ender: You have 8 "outs" to hit the straight. Inside straights only have 4 "outs" and are mathematically terrible draws.
- The Complete Redraw: Do not hold a random 10 because it "feels lucky." Let the machine give you five brand new cards.
The Economics of Jacks or Better
| The Poker Hand | Your Reward (Max Bet) | How Often It Happens |
|---|---|---|
| The Jackpot | Pays the rent. | Do not expect it, but always draw for it when mathematically correct. |
| The Backup Jackpot | Often saves a losing session. | A great result. |
| The Session Saver | A solid, reliable winner. | This is what you are truly hunting when you hold a Low Pair. |
| The Boat | This must pay 9 per coin, or the machine is a rip-off. | A frequent, highly profitable hand. |
| Flush (The "6") | 30 Coins (6 x 5 coins) | Roughly 1 in 91 hands. |
| The Survival Hand | The reason the game is called "Jacks or Better." | Without this 5-coin refund, your bankroll would vanish in minutes. |
By hunting down a 9/6 machine, playing maximum coins, and flawlessly executing the strategy hierarchy, you are engaging in one of the smartest gambles the casino has to offer.
If you master the math, Video Poker will provide you with thousands of hours of high-EV entertainment.

