Set Odds in Poker: Flopping a Set Probability
Last updated: May 15, 2026
You flop a set with a pocket pair 11.76% of the time — roughly 1 in 8.5 hands. By the river, the probability rises to 19.0% (1 in 5.3). Sets are the strongest disguised hand in Texas Hold'em: a flopped set beats an overpair 91% of the time and a top-pair-top-kicker 92%. The math behind every set-mining decision starts with these two numbers.
The Exact Number: 11.76% on the Flop
After your two hole cards are dealt, 50 cards remain in the deck. The flop is one of C(50, 3) = 19,600 possible 3-card combinations. Of those, 2,304 contain exactly one of your 2 matching cards (flopping a set) and 48 contain both (flopping quads). Combined: 2,352 / 19,600 = 12.00% of flops produce trips or better.
Flop a set
11.76%
1 in 8.5
By turn
15.46%
1 in 6.5
By river
18.97%
1 in 5.3
Flop quads
0.24%
1 in 408
Set Odds by Street
These numbers compound across streets. The flop hits 11.8% of the time; given the flop misses, the turn hits 4.3% of the time; given both miss, the river hits 4.3%. The remaining 81% of hands, your pocket pair stays just a pair.
Probability of making a set by street (pocket pair held)
How Often Does a Set Win?
A flopped set is one of the most dominant made hands in poker. Against an overpair the set wins 91% of the time. Against a combo draw (15 outs) the set still wins 55%. The one matchup that defines set-mining risk is set-over-set: the lower set wins just 5%.
Set equity on the flop vs common opponent hands
How Often Are You Dealt a Pocket Pair?
Before set odds matter, you need a pocket pair. They are dealt 5.88% of the time — roughly 1 in every 17 hands. Combined with the 11.8% set frequency, you flop a set with any pocket pair about once every 144 deals.
The Rule of 15: Set Mining Math
Set mining is profitable only when you can win enough on the 11.8% of hands you hit to cover the 88.2% you miss. The standard threshold: effective stack ≥ 15× the call amount.
The math behind Rule of 15
- Flop set probability: 11.8% (1 in 8.5)
- To break even, you must win 8.5× the call on average when you hit
- You will not always stack your opponent — assume 50% extraction
- Adjusted: 8.5 ÷ 0.5 = 17× the call (round to 15× for ease of mental math)
- At 15× effective stack, set mining is +EV against any opponent who pays off most of their stack on a set-friendly board
The Rule of 15 is conservative — against very loose, station-style opponents who pay off any pair on a wet board, 10× may be enough. Against tight, hand-reading opponents who fold to obvious sets, 20× is closer to break-even.
Set vs Trips — What's the Difference?
A set is three of a kind made with a pocket pair plus one matching card on the board. Trips are made with one hole card plus a pair on the board. Sets are stronger because:
Sets are hidden
Your pocket pair is invisible to opponents. They almost never put you on a set when a low card comes — payoff is huge.
Trips are obvious
When the board pairs (e.g., 8-8-2), every opponent knows trips are possible. Your kicker is exposed and easily out-kicked by another trip player.
Sets dominate kickers
Two players with trips will be decided by the kicker — and you have only one hole-card kicker. Sets have no kicker problem because all three cards are 'inside' the hand.
Definitions
Frequently Asked Questions
What are the odds of flopping a set with a pocket pair?
11.76% — roughly 1 in 8.5 hands. The math: after dealing your two hole cards, 50 cards remain. The flop comes from C(50,3) = 19,600 possible 3-card combinations. The number that contain exactly one of your two matching cards is 2,304. Add the 48 flops that contain both matching cards (flopping quads, 0.24%) and the total chance of flopping a set or better is 12.00%.
What are the odds of making a set by the river?
18.97% — approximately 1 in 5.3 hands. This combines the 11.8% flop chance with the 4.3% turn chance and 4.3% river chance (each conditional on not yet having made a set). In set mining decisions, this is the relevant number when you plan to see all five community cards.
What is the Rule of 15 for set mining?
The Rule of 15 says your effective stack should be at least 15 times the cost of the call before set mining is +EV. If you call 50 chips preflop with a small pair, you need at least 750 chips behind to extract enough value the 11.8% of the time you flop a set. This compensates for the 88.2% of the time you miss and have to fold.
How often does a set lose to a higher set?
Set-over-set happens roughly 1 in 100 hands when two players both hold pocket pairs and both flop their set. The smaller set wins only ~5% of the time (the one remaining card of their rank to make quads, or a runner-runner straight or flush). This is the worst cooler in Texas Hold'em — and a major reason small pocket pairs are best played for set value only.
What is the probability of flopping a set with pocket aces specifically?
Identical to any other pocket pair: 11.76%. The hole-card rank does not change the set-flopping probability — every pocket pair has 2 matching cards in the remaining deck and 50 unseen cards total. The advantage of AA over 22 is preflop equity, not post-flop hit frequency.
Can the Rule of 4 & 2 estimate set odds?
Approximately, yes. With a pocket pair, you have 2 outs to make a set. The Rule of 4 & 2 says 2 × 4 = 8% on the flop — but this is the chance of hitting from flop-to-river, not on the flop itself. The 11.8% flop-set figure includes the chance the matching card appears on the flop. For street-by-street decisions after the flop, 2 outs × 2 = 4% per remaining street is accurate.
How much should I pay to see a flop with a small pocket pair?
The standard guideline is 5% of effective stack. With $200 effective and a $10 call, you are paying 5% to see if you flop a set (11.8% chance). When you hit, you need to win at least 5× the call ($50 average) to break even — easy against opponents who will pay off a set. Below 5% of stack is automatic call; above 8% requires deeper stacks or implied odds from a likely all-in.
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