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Set vs flush draw: the odds

What are the odds of a set against a flush draw?

Hand Cards Wins Equity
Set of sevens 7♥ 7♦ 74.4% 74.4%
Nut flush draw A♠ K♠ 25.6% 25.6%
Split pot 0.00%

On a 7♣ 10♠ 3♠ flop, with two cards to come. Equity is each hand's average share of the pot — outright wins plus half of the split pots. Computed by enumerating all 990 possible boards with this site's own engine, so these are exact figures rather than a simulation.

Why the number looks like that

The set stays well ahead, and it has outs of its own: a full house on the turn or river kills the flush entirely. This is the spot where getting all-in on the flop is right for both players for opposite reasons.

Try it yourself

Open this hand in the calculator

The calculator runs the same engine in your browser: change a card, deal the rest of the board, or add a third player and watch the numbers move.