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Most people play video poker by trusting their gut. They hold a high card because they have a feeling. They keep a low pair instead of chasing a flush because they want to play it safe. Your gut is terrible at math, and the casino counts on it. Video poker is not a game of intuition. It is a closed mathematical system. The machine uses a 52-card deck. There are exactly 2,598,960 possible starting hands. Every single decision you make has a fixed, quantifiable value. When you sit down at a machine, you are not gambling; you are taking a math test. If you pass, the house edge drops to roughly half a percent. If you fail, you bleed your bankroll dry.
At GetPaidTo.com, we do not care about your lucky streak. We care about the numbers. If you want to understand how to actually beat these machines, you need to stop looking at the cards as a poker hand and start looking at them as a probability matrix. Here is the unpretentious reality of video poker mathematics.
The Foundation: Calculating Basic Probability
Every video poker strategy starts with the exact same premise. You are dealt five cards from a standard 52-card deck. This leaves exactly 47 unseen cards. The random number generator (RNG) governing the software does not know if you are winning or losing. It just continuously shuffles those remaining 47 cards. When you discard a card, the machine draws from that finite pool.
If you draw one card, there are 47 possible outcomes.If you draw two cards, there are 1,081 possible combinations.If you draw three cards, there are 16,215 possible combinations.You do not need to memorize these combinations, but you do need to understand that the denominator is always fixed. Every choice you make is simply a fraction based on those remaining unseen cards.
Expected Value (EV): The Only Metric That Matters
Expected Value, or EV, is the most important concept in gambling. It represents the average return of a specific play if you were to repeat it an infinite number of times. In video poker, every possible way you can play a hand has an EV. The mathematically optimal decision is simply the option that yields the highest EV. You calculate EV by multiplying the probability of a specific outcome by the payout of that outcome, and then adding all possible outcomes together.
Let us look at a concrete example. You are playing a standard 9/6 Jacks or Better machine. You bet five coins. You are dealt the following hand: 4 of Hearts, 5 of Hearts, 6 of Hearts, 7 of Hearts, and a King of Spades. You have a choice. Do you hold the King of Spades and hope to hit a high pair? Or do you hold the four hearts and draw one card to chase the flush? We use EV to find the answer.
Option 1: Hold the Four Hearts
You discard the King of Spades. You are drawing one card. There are 47 cards left in the deck.Of those 47 cards, exactly 9 are hearts. The other 38 cards are useless.
- Probability of a Flush: 9 / 47 (19.14%)
- Probability of Nothing: 38 / 47 (80.85%)
On a 9/6 machine with a five-coin bet, a flush pays 30 coins. A losing hand pays 0.We calculate the EV:(0.1914 × 30 coins) + (0.8085 × 0 coins) = 5.74 coins.
If you make this play infinitely, you will average a return of 5.74 coins every time. Since your initial bet was 5 coins, this is a highly profitable play.
Option 2: Hold the King of Spades
What if you hold the King and discard the four hearts? You are now drawing four cards. The math becomes wildly complex because you can hit two pair, three of a kind, or four of a kind. But we know from running the simulations that the EV of holding a single high card is roughly 2.36 coins.
The math dictates that holding the four hearts (EV 5.74) is massively superior to holding the single King (EV 2.36). Your gut might tell you to keep the face card, but the math proves that doing so throws away more than three coins of expected value.
The Paytable Trap: How the Casino Steals Your RTP
Return to Player (RTP) is simply the sum of all the highest possible EVs across every hand, assuming you play perfectly. On a 9/6 Jacks or Better machine, that total RTP is 99.54%.But what happens if you sit at the wrong machine? Casinos frequently manipulate the paytables to increase their edge. The most common trap is the 8/5 machine.
An 8/5 machine pays 8 coins for a Full House (instead of 9) and 5 coins for a Flush (instead of 6). It looks like a minor adjustment. It is not. Let us look at our previous flush draw example, but apply it to an 8/5 paytable.On an 8/5 machine, a five-coin flush bet only pays 25 coins, not 30.Let us run the exact same EV calculation for holding the four hearts:(0.1914 × 25 coins) + (0.8085 × 0 coins) = 4.78 coins.
By simply sitting down at an 8/5 machine, the exact same mathematical decision drops in value from 5.74 coins to 4.78 coins. Your EV just dipped below your initial 5-coin bet. The play is suddenly a net negative over the long run. This tiny paytable tweak drops the machine’s total RTP from 99.54% down to 97.3%. The casino just multiplied its house edge by five, simply because you did not read the board.
When the Math Fights Your Instincts
The real test of a video poker player is making the mathematically optimal choice when it feels completely wrong. Imagine you bet five coins on a 9/6 machine. You are dealt:10 of Hearts, Jack of Hearts, Queen of Hearts, King of Hearts, and the 3 of Hearts.
You hold a pat flush. It is a guaranteed winner. It pays 30 coins right now. Your instinct is to hold all five cards, collect your 30 coins, and move to the next hand. The EV of holding the flush is exactly 30. But you also hold four cards to a Royal Flush. What happens if you throw away the 3 of Hearts and break your guaranteed winning hand? You draw one card from the remaining 47. Let us look at the outcomes:
- Royal Flush: 1 card (Ace of Hearts). Pays 4,000 coins. (Probability: 1/47)
- Straight Flush: 1 card (9 of Hearts). Pays 250 coins. (Probability: 1/47)
- Flush: 7 cards (The remaining hearts). Pays 30 coins. (Probability: 7/47)
- Straight: 3 cards (Non-heart Aces or 9s). Pays 20 coins. (Probability: 3/47)
- Pair of Jacks or Better: 12 cards (Any remaining Jack, Queen, or King). Pays 5 coins. (Probability: 12/47)
- Nothing: 23 cards. Pays 0. (Probability: 23/47). We multiply the probability of each outcome by its payout and add them together.(1/47 × 4000) + (1/47 × 250) + (7/47 × 30) + (3/47 × 20) + (12/47 × 5) + (23/47 × 0) = 92.12 coins. The math is absolute. Holding the guaranteed flush yields an EV of 30. Breaking the flush yields an EV of 92.12. If you do not break that flush, you are actively throwing away 62 coins of mathematical equity. It feels insane to throw away a winning hand, but the math demands it.
Where to Actually Play: Finding the Right Digital Operator
You have to respect the math, but you also have to respect the variance. Expected Value is a long-term metric. Just because breaking the flush has an EV of 92.12 does not mean you will win 92 coins on this specific hand. In fact, 23 times out of 47, you will break the flush and win absolutely nothing.
You will endure agonizing dry spells. You will calculate the math perfectly, hit the draw button, and lose. The 99.54% RTP assumes you have the bankroll to survive the losses until the math inevitably normalizes. You are a calculator playing a game of attrition. Memorize the payouts, calculate the EV, ignore your instincts, and let the math do the heavy lifting.