Flopping a Flush in Texas Hold'em — Exact Probability
Last updated: May 27, 2026
With any two suited hole cards, the probability of flopping a complete flush is 0.84% — approximately 1 in 119 flops. A flush draw (4 cards to a flush) is far more common: 10.9% (1 in 9.2). When you flop a flush draw, you complete it by the river 34.97% of the time. Roughly half of all suited hands see some flush-related equity on the flop — made flush (0.84%), flush draw (10.9%), or backdoor flush draw (41.6%). The full combinatorics and exact scenario breakdown are below.
The Core Numbers — Made Flush vs Flush Draw
With two suited hole cards, the flop produces one of four outcomes. Made flush (0.84%) is dramatically rarer than a flush draw (10.9%), and backdoor draws (41.6%) account for the largest single category. The remaining 46.6% of flops give zero flush equity.
Made Flush
0.84%
1 in 119
Flush Draw
10.9%
1 in 9.2
Backdoor Draw
41.6%
1 in 2.4
No Flush Help
46.6%
1 in 2.1
Complete Flush Probability Table by Scenario
Every relevant flush scenario for suited hole cards — from flopping a made flush through completing a backdoor draw — in one reference table.
Flush outcomes from suited hole cards
How to Calculate the 0.84% Figure
The exact calculation uses hypergeometric combinatorics. With two suited hole cards (say, both hearts), the remaining deck has 11 hearts and 39 non-hearts among 50 unseen cards. The flop draws 3 of these 50 cards.
Hypergeometric Distribution — Flush Flop Probability
Total possible 3-card flops: C(50,3) = 19,600
3 hearts on flop (made flush): C(11,3) × C(39,0) = 165 × 1 = 165
P(made flush) = 165 / 19,600 = 0.842%
2 hearts on flop (flush draw): C(11,2) × C(39,1) = 55 × 39 = 2,145
P(flush draw) = 2,145 / 19,600 = 10.944%
1 heart on flop (backdoor): C(11,1) × C(39,2) = 11 × 741 = 8,151
P(backdoor) = 8,151 / 19,600 = 41.587%
0 hearts on flop: C(11,0) × C(39,3) = 1 × 9,139 = 9,139
P(no help) = 9,139 / 19,600 = 46.627%
The numbers sum to 100% (with rounding). The key insight: with only 11 remaining suit cards in 50 unseen cards (22%), the probability of all 3 flop cards being your suit (0.84%) is much lower than intuition suggests — because you need a three-card subset from a pool where only 22% are your suit.
Flush Probability by Hole-Card Type
All suited hole cards have identical flush-flopping probability regardless of rank. What differs is post-flop value: nut-flush hands (suited aces) have higher implied odds than low-flush hands, and suited connectors gain combo draw equity on non-flush boards.
Flush probability by hole-card type
Flush Draw Completions — Pot Odds and Strategy
When you flop a flush draw (10.9% of the time with suited cards), the decision to call or fold depends on pot odds. A flush draw has 9 outs and approximately 35% equity over two streets. The 35% threshold means:
Half-pot bet (25% pot odds)
Clear call
Flush draw has 35% equity vs 25% required — 10-point edge. Call confidently, even without implied odds.
Pot-sized bet (33.3% pot odds)
Marginal call
Flush draw 35% vs 33.3% required — 1.7-point edge. Barely profitable; implied odds strengthen the call.
1.5× overbet (42.9% pot odds)
Fold (no implied odds)
Flush draw 35% vs 42.9% required — equity deficit. Requires significant implied odds (future stack) to call.
On the turn with one card remaining, flush draw equity drops from 35% to approximately 19.15% (9/47). This means a flush draw that was profitable to call on the flop against a pot-sized bet becomes significantly worse on the turn — you now require pot odds below 19% to call profitably. Many players incorrectly apply flop equity to turn decisions, overpaying for flush draws in later streets.
Flush vs Range Equity — What Flushes Are Worth
A flopped flush is a massive hand in Texas Hold'em — but its value depends heavily on the board texture and the strength of your flush. Key strategic distinctions:
Flopped flush strength guide
- Nut flush (ace-high) on flopNo flush can beat you — fast-play for value, opponent may have second-flush
- Second-nut flush (king-high) on flopOnly the ace-high flush beats you — strong value, but fear heavy action from tight players
- Low flush (5-high, 6-high) on flopReverse implied odds — any opponent with a higher suited card holds a better flush
- Flush with paired board (flush vs full house risk)A paired flop with 3 suited cards means opponents can have full houses that beat your flush
The 0.84% flush-flopping rate combined with an ~88% win rate when you flop a flush means flopped flushes win roughly 0.74% of all suited-card hands dealt — approximately once every 135 hands. The extreme rarity of opponents also flopping a higher flush (requiring a specific suit distribution) means flopped flushes are close to a stack-winner against any opponent who flops second-best hands like sets, two-pair, or top pair.
Definitions
Frequently Asked Questions
What are the odds of flopping a flush with suited hole cards?
0.84% — approximately 1 in 119. The combinatorics: after holding two suited hole cards, 11 cards of your suit remain among 50 unseen cards. For a made flush, all three flop cards must be your suit. C(11,3) = 165 favourable flops out of C(50,3) = 19,600 total flops. 165 / 19,600 = 0.842%. This probability is identical for all suited hands — the specific ranks do not matter, only the suit count.
How often do you flop a flush draw?
10.94% — about 1 in 9.2 flops. The flop must contain exactly 2 cards of your suit (not 3, which would be a made flush). Calculation: C(11,2) × C(39,1) = 55 × 39 = 2,145 qualifying flops. 2,145 / 19,600 = 10.94%. A flush draw (4 cards to a flush) has 9 outs and approximately 35% equity to complete by the river — it is one of the strongest common drawing hands in Texas Hold'em.
How often does a flush draw complete by the river?
34.97% — roughly 1 in 2.9. A flush draw has 9 outs. The probability of the turn being your suit is 9/47 = 19.15%. If the turn misses, the river probability is 9/46 = 19.57%. Combined over both streets: 1 − (38/47 × 37/46) = 34.97%. The Rule of 4 estimates this as 9 × 4 = 36% — close but 1% higher than reality. On the turn alone (one street remaining), flush draw equity is 9/46 = 19.57%.
What are backdoor flush draw odds?
Flopping a backdoor flush draw (exactly one card of your suit on the flop) happens 41.6% of the time with suited hole cards. Completing the backdoor flush requires both the turn AND river to be your suit: (10/47) × (9/46) = 4.16%. Backdoor flushes add approximately 4% equity to marginal hands — enough to swing close pot-odds decisions, but rarely a primary reason to continue in a pot.
Does a suited ace give you better odds of flopping a flush?
No — the probability of flopping a made flush is exactly the same 0.84% regardless of rank. What changes is the value of the flush when you do flop it. A♥x♥ always flops the nut flush (best possible flush), while 5♠4♠ may flop a low flush that can lose to a higher flush held by another suited hand. Suited aces are premium for implied odds because opponents holding lower flush draws will pay you off heavily when they hit second-best.
Does flopping a flush beat a flopped straight?
Yes — a flush beats a straight in the standard poker hand ranking. The hierarchy from highest to lowest: Royal Flush > Straight Flush > Four of a Kind > Full House > Flush > Straight. If you flop a flush and your opponent flops a straight with the same board, your flush wins. The only hands that beat a flush are: full house, four of a kind, straight flush, and royal flush. Flopping a made flush against a flopped straight is a near-certain stack in most situations.
How do pot odds affect flush draw calls?
A flush draw has approximately 35% equity on the flop (two streets). You can profitably call any bet up to a pot-sized bet (33.3% pot odds required). Against a pot-sized bet, you have 35% equity vs 33.3% required — a marginal 1.7% edge. Against a 1.5× overbet (42.9% required), flush draws must fold on pure pot odds — they need implied odds to call. On the turn with one street remaining, flush draw equity drops to ~19%, requiring pot odds below 19% to call.
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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