Flop odds

Once you hold your two cards, 50 remain and the flop is 3 of them: 19,600 possible flops. Here is what they do for each kind of hand, counted flop by flop.

Every one of the 19,600 possible flops, counted for each kind of hand.
On the flopChanceOddsOdds against
Pocket pair flops a set or better11.76%1 in 8.57.5 to 1
Unpaired hand pairs a hole card or better32.43%1 in 3.12.1 to 1
Unpaired hand flops two pair with both cards2.02%1 in 49.548.5 to 1
Suited hand flops a flush draw10.94%1 in 9.18.1 to 1
Suited hand flops a flush0.84%1 in 119118 to 1

Pocket pairs: a set about one flop in eight

A pocket pair flops a set or better 11.8% of the time, 1 in 8.5 flops. About seven flops in eight leave you with the same pair, often facing higher cards on the board. By the river the chance of a set or better grows to 19.2%. What that means for calling raises with small pairs is on the implied odds page.

Unpaired hands: two flops in three miss

With two different cards such as ace-king, the flop pairs at least one of them only 32.4% of the time. The rest of the time you have, at best, a draw or just high cards. Two pair using both hole cards comes 2.02% of the time.

Suited hands: draws, rarely flushes

Two suited cards flop a flush 0.84% of the time, 1 in 119 flops, and a flush draw 10.9% of the time. A flush draw then completes by the river 35.0% of the time if you see both cards.

How we counted

For each kind of hand, a program dealt all 19,600 flops and checked the result; closed-form formulas gave the same numbers exactly. See the methodology, and the odds chart for everything on one page.

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