Choosing which cards to hold

A made hand already matches a pay-table category. A draw is an incomplete pattern that could become something stronger after replacements. The tempting choice is often to protect a small guaranteed return. The correct strategy instead compares the average value of every path the draw can take.

That average is expected value, or EV. A hold with many modest wins can beat a long shot; a smaller set of high-paying outcomes can also beat a made hand. Neither “take the sure thing” nor “always chase the jackpot” works as a rule.

An out is a remaining card that completes or improves a draw. Counting outs helps you see possibilities, but simple counts are not enough: different outs pay different amounts, and one card can satisfy more than one description.

There are nine spades left, but K♠ and 8♠ are already the two straight-flush outcomes. Calling them “nine flush outs plus two straight-flush outs” would double-count them. An exact EV calculation sorts every replacement into one final paying category and weights it by that category’s award.

In the hand above, the pair of queens is already a winner. Yet the four-card open-ended straight flush draw is worth far more: 3.638 expected credits per credit wagered versus 1.537 for the queens. The pair is more reassuring, but reassurance is not part of the pay table.

This is why strategy charts are ordered lists, not a collection of isolated tips. When a hand contains two candidates—a pair and a four-card flush, for example—you need to know which candidate ranks higher for that exact game. Wild cards and bonus quad payouts can move those boundaries dramatically.

1. Name the candidates. Before drawing, identify the made hands and promising four- or three-card patterns.
2. Commit to one reason. Say what you expect the hold to make and which pay-table rows give it value.
3. Read the EV comparison. If you were wrong, compare the top two holds; do not let the random replacement card rewrite the lesson.
4. Look for recurring conflicts. High pair versus four-card draws, low pair versus high cards, and kicker decisions are more useful patterns than memorizing one deal.

Start with 9/6 Jacks or Better, whose pay table has fewer special cases. Learn a new variant only after reading its full pay table and strategy notes on the Games page.