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.

If you learn the optimal strategy, Video Poker transforms from a predatory casino trap into one of the most mathematically fair games on the entire casino floor.

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
In Jacks or Better, all the payouts for the massive hands (Royal Flush, Four of a Kind) are generally identical across different machines.

If you play a 9/6 machine with perfect mathematical strategy, the overall Return to Player (RTP) is an incredibly high 99.54%.

However, casinos are greedy. They will frequently place “Short Pay” machines (like an 8/5 or a 7/5 machine) right next to the good ones.

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
Many casual players, trying to conserve their bankroll, will only bet 1 or 2 coins per hand.

However, the payout for the Royal Flush is severely distorted.

If betting 5 coins on a $1 machine ($5 a hand) is too expensive for your bankroll, do not drop down to betting 1 coin.

Playing less than maximum coins instantly turns a beatable game into a terrible mathematical trap.
The Cheat Sheet: What to Hold and What to Fold
The actual strategy of Jacks or Better involves looking at your initial five cards and prioritizing which cards to hold based on a rigid mathematical hierarchy.

Perfect mathematical strategy dictates you MUST throw away the guaranteed winning Jack to draw for the Royal Flush, because the massive 4,000-coin payout makes the gamble mathematically correct over the long run.

You must hold the High Pair and throw away the 4-card Flush draw.

Holding the Ace reduces the number of cards you draw from three to two, drastically reducing your chances of hitting Three of a Kind (which pays 15 coins).
The Order of Operations (From Highest EV to Lowest)

The Monsters: Never break these hands under any circumstances. You have already won the lottery.

1. 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. Solid Winners: Take the guaranteed money. The math says these payouts are too valuable to risk for a massive gamble.
2. 4 Cards to a Straight Flush: Hold these. The payout for a Straight Flush (250 coins) justifies the risk. The Workhorse: Two Pair pays 10 coins. It keeps your bankroll afloat while you wait for the massive hands. The Baseline Winner: This simply returns your original bet (a “Push”). It is the most frequent winning hand in the game. Color Hunting: A solid, reliable draw that pays 30 coins. Dumping the Trash: You are hoping to hit “Trips.” The math demands you draw three new cards. The Open-Ender: You have 8 “outs” to hit the straight. Inside straights only have 4 “outs” and are mathematically terrible draws. Accepting the Loss: Sometimes the best play is to simply reset the board completely.

The Economics of Jacks or Better

The Poker HandYour Reward (Max Bet)How Often It Happens The JackpotPays the rent.Do not expect it, but always draw for it when mathematically correct. Straight Flush250 CoinsRoughly 1 in 9,000 hands. Four of a Kind125 CoinsRoughly 1 in 423 hands. The Full HouseThe critical metric of a good machine.This is why you always draw one card to Two Pair. The ColorThis must pay 6 per coin. If it pays 5, walk away.A solid, frequent winner. Jacks or Better (High Pair)5 Coins (Your money back)Roughly 1 in 5 hands.

You are essentially reducing the casino’s massive, imposing fortress to a tiny 0.46% mathematical sliver.

Take your time, check your strategy card, and ensure every single decision you make is backed by Expected Value.