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Set vs Flush Draw: How Big a Favorite the Set Really Is

A set vs flush draw on the flop is a clear favorite: on J♠ 8♠ 7♥, a set of sevens holds 74% against the nut flush draw and still 60.2% against a 15-out combo draw. After a blank turn, the set climbs to 70.5% to 84.1%. Even when the draw comes in, the set sometimes still wins, because it can fill up to a full house.

A set facing a c‑bet on a wet board

You defend the big blind with 7♦7♣. The flop comes J♠ 8♠ 7♥ and the button bets 33% of the pot. Call, check‑raise to 4 times the bet, or jam?

See the answer

Your equity. Against the button's flush draws, your set holds between 60.2% and 74% on the flop.

The decision. The expected answer is the check‑raise: on a board this wet, many turn cards help a draw, and raising makes those draws pay now, while they are behind, instead of seeing the turn cheaply.

The set against each draw: flop and turn

Board J♠ 8♠ 7♥, set 7♦7♣; the turn is the 2♦. Equity of the set.

Opponent's handOutsFlopTurn
A♠K♠, nut flush draw974%84.1%
K♠Q♠, flush draw973.5%84.1%
Q♠T♠, flush draw + gutshot1265.3%77.3%
6♠5♠, flush + open-ended1560.2%70.5%
J♣T♠, top pair + gutshot481.6%90.9%

What the table shows

EffectExampleSet's equity
more outs, less equity for the set9, then 12, then 15 outs74% → 65.3% → 60.2%
nut draw or not: almost the sameA♠K♠ vs K♠Q♠74% and 73.5%
one card left favors the setA♠K♠, flop then turn74% → 84.1%
the set's own outs for the river (after the 2♦ turn, against a flush draw)full house or quads10 of 44 cards

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Sources

Frequently asked questions

What is a set's equity against a flush draw?

About 74% on the flop against a plain or nut flush draw, and 84.1% after a blank turn, on the board in this article.

Can a draw be the favorite against a set?

Not here: even the strongest combo draw, with 15 outs, keeps the set at 60.2% on the flop. The set wins more often than the 15 outs suggest because it can still improve to a full house.

Should I slow-play a set on a flush-draw board?

Usually not: many turn cards help some draws, and a raise makes them pay now, while they are still behind.

How we made this page

The spots come from our library of 647 puzzles. Their expected answers follow rules we wrote and explain on each puzzle; they are not solver outputs. 13 figures on this page are recomputed from the cards by our automated tests. Written with the help of AI tools, then reviewed and checked by our team.

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