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Strategy cost: the price of a mistake

How we put an exact dollar figure on every hold.

The EV of a hold

For any dealt hand there are 32 ways to hold (each of the five cards is kept or discarded). The expected value of a hold is the average payout over every possible draw from it — and since a deck has 47 remaining cards, "every possible draw" is a finite, countable set. This site evaluates all 32 holds exactly, for every hand you play.

Your strategy cost on a hand is simply: best hold's EV minus your hold's EV. Zero means you found the best play. Everything above zero has an exact price, in credits, no hand-waving.

A worked example

You're dealt Q♠ Q♥ J♠ 10♠ 9♠ at 9/6 Jacks or Better. The obvious hold is the pair of queens — a made hand, money back guaranteed on average. The best hold is the four spades: two cards (8♠, K♠) complete a straight flush, any other spade makes a flush, and any 8 or K makes a straight.

Held
queen of spades, card 1
queen of hearts, card 2
Held
jack of spades, card 3
Held
ten of spades, card 4
Held
nine of spades, card 5

The best hold: four spades (the queen of hearts goes). Two straight-flush outs, nine flush outs, six straight outs.

Keep the queens
1.537
Keep the four spades
3.638
Δ −2.101 cr

Misplaying this hand costs 2.102 credits per coin — 10.51 credits at max bet, every single time it comes up.

Notice that the queens aren't a disaster — 1.537 credits per coin is a respectable hold. It's just worth less than half of the correct play. Most expensive mistakes in video poker look exactly like this: reasonable, safe, and quietly wrong.

The severity scale

Every decision you make at the table is graded on this five-step scale, by exact EV lost per coin. Color is never the only signal — each level has its own icon and label.

SeverityEV lost (per coin)How to read it
Optimal0 crThe best possible hold (or an exact tie).
Near-optimal< 0.01 crLess than a hundredth of a credit — noise, not a leak.
Minor error0.01–0.05 crSmall, repeatable leaks. Fix after the big ones.
Meaningful error0.05–0.25 crReal money over a session. This is where practice pays.
Major error≥ 0.25 crThe expensive holds. Fix these first.

Where the money goes

At the end of a session your net result is split into four exact parts, so you can see whether a result came from skill, the deals, or the draws. Strategy cost is the only part you control — the rest is weather.

Waterfall diagram: long-run expectation, then deal quality, minus strategy cost, plus or minus draw luck, summing to the net result.
net = long-run expectation + deal quality − strategy cost + draw luck

Try it at the table

Mistake drill: 9/6 Jacks or Better with 'Warn before I draw' feedback — the table flags a suboptimal hold before you commit to it.

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