Odds of Flopping a Set — Probability for Every Pocket Pair
Last updated: May 26, 2026
Any pocket pair flops a set with 11.76% probability — roughly 1 in 8.5 flops. This number is identical for all pairs from 22 to AA. The complete probability table, set mining requirements, and post-flop strategy for maximising set value are all below.
Flop Set Probability Table: 22 to AA
The table below shows the complete set probability for every pocket pair. All pairs share the same core probabilities — the Notes column explains strategic differences by pair rank.
Why All Pocket Pairs Have the Same Flop Set Odds
The mathematics behind the constant 11.76% figure is straightforward. When you hold any pocket pair, you have used 2 of the 4 cards of that rank. That leaves exactly 2 cards of your rank in the remaining 50-card deck. The flop deals 3 cards from those 50.
The Math
P(no set on flop) = (48/50) × (47/49) × (46/48) ≈ 88.24%
P(at least one set card) = 1 − 0.8824 = 11.76%
This calculation is identical whether you hold 22 or AA — you always have 2 matching cards among 50 unseen cards, and the flop draws 3 of them. The pair rank does not change the arithmetic. What does differ between 22 and AA is the strategic value: AA does not need to set mine to be profitable, while 22 is almost entirely dependent on flopping a set to win a large pot.
Set Mining — The Implied Odds Requirement
Set mining is calling preflop raises with small pairs hoping to flop a set. Since you hit roughly 1 in 8.5 flops, you need to win approximately 7.5-10× the preflop call when you hit a set to break even on the play.
Set Mining Example
Opponent raises to $15 in a $1/$2 game. You call with 55.
Required winning when you hit: $15 × 8.5 = $127.50.
At 100BB ($200 stacks), there is $185 behind after calling — set mining is marginally profitable if opponent calls large bets with worse hands.
At 50BB ($100 stacks), only $85 behind — set mining is likely unprofitable.
Deep stacks are essential for set mining profitability. The deeper the effective stacks, the more you can win when you flop a set and the better the implied odds. As a general rule, avoid set mining with less than 15-20× the preflop raise in effective stack behind.
What Happens After You Flop a Set
Flopping a set wins approximately 78% of hands at showdown on average, but the strategy for extracting maximum value varies significantly by board texture.
Dry Board (A-7-2 rainbow)
Consider slow-playing
Few draws exist. Opponents with top pair may call multiple streets. Check-calling or check-raising on the turn can build the pot while keeping opponents in.
Wet Board (J-T-8 two-tone)
Fast-play aggressively
Many straight and flush draws are possible. Bet large immediately to deny equity to draws. Getting all the money in is often correct.
Paired Board (K-K-7)
Bet for value carefully
You have a full house (set + board pair), which is extremely strong. However, there are fewer hands opponents can call with. Size appropriately — don't overbet into nothing.
Set rank matters post-flop: bottom set (e.g., flopping 22 on a K-J-2 board) is most dangerous — opponents can hold KK or JJ for a higher set. Top set (e.g., KK on a K-J-2 board) is the strongest, rarely beaten except by runner-runner flushes or straights.
Definitions
Frequently Asked Questions
What are the odds of flopping a set in poker?
11.76% with any pocket pair, or roughly 1 in 8.5 flops. This doesn't vary by pair rank — all pairs from 22 to AA have exactly 2 remaining cards of the same rank in the 50-card deck, giving the same set probability.
Is it profitable to 'set mine' with small pocket pairs?
Only with sufficient implied odds. The rule: you need to win approximately 8-10× your preflop investment when you hit a set. If calling $15 preflop, you need to win $120-150 from your opponents after flopping a set. This requires deep stacks (80+ BB effective) and opponents likely to call with worse hands on set-friendly boards.
How often do you flop a set and lose?
Roughly 22% of the time you flop a set, you lose. Common ways to lose: opponent flops a higher set (rare but devastating), board completes a flush or straight that beats your set, opponent makes a full house using a paired board. Sets are strong but not invincible.
What's the difference between a set and trips?
A set = 2 hole cards + 1 board card of the same rank (e.g., you hold JJ and board is J-8-2). Trips = 1 hole card + 2 board cards of the same rank (e.g., you hold J9 and board is J-J-2). Sets are stronger because they're better concealed — opponent cannot hold the same hand.
Should I always fast-play a flopped set?
Not always. Slow-playing (checking a set) is valuable when: (1) the board is very dry (A-7-2 rainbow — few hands will call bets), (2) opponent has a strong hand they'll bet with (top pair top kicker), (3) the pot is small and building it slowly gets more money in. Generally: fast-play on wet boards, consider slow-playing on dry boards.
How often does a pocket pair flop quads?
0.245% probability (extremely rare). Of the C(50,3) = 19,600 possible 3-card flops, only 48 give you quads. You're roughly 8× more likely to flop a set than quads.
What's the probability of turning a set after missing the flop?
After missing the flop (no set), you have 2 outs for the turn. Turn set probability: 2/47 = 4.26%. If you miss both flop and turn, river set: 2/46 = 4.35%. The cumulative probability of making a set by the river = 19.7%.
Recommended Reading
Modern Poker Theory — Michael Acevedo
GTO principles made practical — ranges, frequencies, and solver-backed strategy in one volume.
The Mathematics of Poker — Bill Chen & Jerrod Ankenman
The definitive quantitative treatment of poker — game theory, equity, and EV from first principles.
The Theory of Poker — David Sklansky
The classic foundation every serious player starts with — the Fundamental Theorem of Poker.
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