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In Seven Card Stud, should I complete or just call with a three-flush (K-9-4 of hearts) against a deuce bring-in?
Heads-up, PokerToast's limit Stud solver completes with K-9-4 of hearts against a deuce bring-in 99.2% of the time.
The spot
- Game: heads-up limit Stud, 3rd street.
- You: (K♥ 9♥) 4♥ (down cards in brackets): K-9-4 of hearts: three to a flush with one high card, no pair.
- Your opponent: shows a 2 and brought in (up: 2♣).
- Pot before this street: 0.3 small bets (the antes).
- Pot size and the numbers: the solver groups pots by size: its numbers here are averages over every pot of up to 1.5 small bets at this point, so in exactly this pot they would be a little different.
The solver's numbers
| Play | How often (strategy) | Worth from here on (EV estimate, small bets) |
|---|---|---|
| Complete | 99.2% | +0.37 |
| Call the bring-in | 0.8% | +0.31 |
| Fold | 0.0% | +0.00 |
Measured on 36,202 play-outs of this situation. The highlighted row is the play that measured best.
Why, in plain words
Complete and call the bring-in are worth about the same here (0.06 small bets apart, within the measuring noise of about 0.10), so neither is a real mistake; the solver's usual choice is to complete (99.2%).
One limit of the model: here, when you just call, the street ends; under real rules the bring-in could still complete. That makes calling look a little better than it is, so where calling and completing are close, completing is at least as good.
What popular strategy articles say
Play three-flushes cheaply, for no more than a single bet on 3rd street, and only with a live suit and at least one premium card among them.
What strategy articles found by web search said on 2026-10-08 (PokerNews, Card Player, PokerStrategy, pokerskill and similar; mostly written between about 2007 and 2015, and mostly for full-ring games with several players in the pot).
Heads-up, the solver disagrees: it chooses the recommended play (call the bring-in) only 0.8% of the time; its main play is complete (99.2%).
By the measured values, though, the two plays are worth about the same (within 0.06 small bets), so the common advice is not a real mistake here, just not the solver's usual choice.
Measured value from here on: complete +0.37 small bets, call the bring-in +0.31.
The 3-handed solver doesn't follow the common advice either (it completes 99%).
Heads-up vs multiway
The numbers above are for heads-up play (two players). Most published advice is written for full-ring games with several players in the pot, so part of any difference can come from that.
3-handed (the bring-in shows a 2 and a third player showing a Ten is still to act behind you), PokerToast's 3-handed solver completes 99% of the time. So the heads-up answer holds with three players.
| Play | How often (strategy) | Worth from here on (EV estimate, small bets) |
|---|---|---|
| Complete | 99.0% | +0.33 |
| Call the bring-in | 1.0% | +0.33 |
| Fold | 0.0% | +0.00 |
From the 3-handed limit Stud solver, trained 14,496,030 iterations, exported 2026-10-05 20:53:00, 150,064 situations (version S33-14496030-20261005205300); measured on 15,227 play-outs.
How these numbers were made
From PokerToast's own heads-up limit Stud solver, trained 9,747,144 iterations, exported 2026-10-06 15:25:55, 30,546 situations (version S-9747144-20261006152555). It learned by self-play (Monte Carlo counterfactual regret minimization) for limit betting, at most four bets a street.
- How often is the solver's average strategy for this situation.
- Worth (EV) is an estimate measured after training by playing the situation out many times against the solver's own strategy: small bets won or lost from this decision on, compared with folding (0). It assumes an opponent who plays like the solver.
- Hand groups: the solver groups similar hands, so the numbers are for the group (here:
0|NKd|-+|S|i), not only these exact cards. For each decision it looks at the street; your made hand (straight or better, trips, two pair, or a pair grouped by rank, and whether a card of your pair's rank shows on your opponent's board); your flush and straight draws that are still live; your opponent's board (a pair showing, high cards, three suited cards) and whether your hand beats it; the pot; and the betting so far on this street. - Stakes: ante 0.15 small bets per player, bring-in 0.25, a completion or bet on 3rd and 4th street is 1 small bet, 2 from 5th street.
- Looked up when this page was built (2026-10-19); a newly trained solver changes the page and its version number.
Practice it
Your equity with these cards Today's Stud Daily Spot Open PokerToast
Part of: Seven Card Stud 3rd street: pairs, three-flushes and three-straights
More Stud spots: Stud: a pair of 5s, you brought in with a 2, an Ace completes · Stud: rolled-up 8s on 3rd street. Slowplay or raise? · Stud: Kings in the hole, an Ace completes your bring-in · Stud: a split pair of 4s with a 9 kicker against a deuce bring-in. Complete, call or fold? · Stud: a three-straight (9-10-J) against a deuce bring-in. Complete or call? · Stud: a pair of Tens, you brought in with a 9, an Ace completes · Stud: Aces in the hole, a King completes your bring-in. Call or re-raise? · Stud 4th street: Kings against a paired door card (5-5) that bets · Stud 5th street: unimproved Aces against 6-8-4 showing. Bet or check? · Stud: split Queens against a deuce bring-in. Complete? · Stud 4th street: Jacks against an Ace that catches a 5 and bets · Stud: brought in with K-Q-2, an 8 completes. Fold? · Stud: Kings in the hole, an 8 completes your bring-in. Call or re-raise? · Stud 4th street: unimproved Queens against 5-8 showing. Bet or check?