Flopping a Flush Odds: Suited Cards Probability

Last updated: May 15, 2026

Suited hole cards flop a made flush 0.84% of the time — about 1 in 119 flops. A flush draw is far more common: 10.94% (1 in 9.1). When you flop a flush draw, you complete it by the river 34.97% of the time. Add backdoor flush draws (41.6% on the flop, 4.16% completion) and roughly half of all suited hole cards see some flush-related equity on the flop.

The Numbers

Made Flush

0.84%

1 in 119

Flush Draw

10.9%

1 in 9.1

Backdoor

41.6%

1 in 2.4

No Help

46.6%

1 in 2.1

What Happens on the Flop with Suited Cards?

Flop outcomes from suited hole cards

Scenario	Probability	Odds	Detail
Flop a made flush (3 hearts)	0.84%	1 in 119	All three flop cards match your suit. Calculated as C(11,3)/C(50,3) = 165/19,600.
Flop a flush draw (2 of your suit on flop)	10.94%	1 in 9.1	Exactly two flop cards are your suit. 9 outs to complete by river.
Flop a backdoor flush draw (1 of your suit)	41.60%	1 in 2.4	Need both turn AND river to be your suit. Adds ~4% equity to weak hands.
Flop no flush help at all	46.62%	1 in 2.1	Zero suit-matching cards on flop. Hand plays without flush equity.

From Flush Draw to Made Flush

When you flop a flush draw (10.94% chance), the question becomes: will I complete it? A flush draw has 9 outs across two streets.

Completing the flush from a draw or backdoor

Scenario	Probability	Odds	Detail
Flush draw → flush by turn (1 card)	19.15%	1 in 5.2	9 outs out of 47 unseen cards. The Rule of 4 & 2 estimate: 9 × 2 = 18%.
Flush draw → flush by river (after missing turn)	19.57%	1 in 5.1	9 outs out of 46 unseen cards on the river.
Flush draw → flush on turn OR river	34.97%	1 in 2.9	Combined probability across two streets. Rule of 4 estimate: 9 × 4 = 36% (slight overestimate).
Backdoor flush draw → flush on river	4.16%	1 in 24.1	Both turn and river must be your suit. (10/47) × (9/46) = 4.16%.

How Often Are You Dealt Suited Cards?

Before any flush math matters, you need suited hole cards. They are dealt 23.5% of the time — about 1 in every 4.3 hands. Combined with the 0.84% flush-flopping rate, you flop a made flush approximately once every 506 hands dealt.

Frequency of suited hole-card types

Scenario	Probability	Odds	Detail
Dealt any suited hole cards	23.5%	1 in 4.3	After your first card, the second card matches suit 12/51 of the time.
Dealt specific suited combo (e.g., A♥K♥)	0.30%	1 in 332	There are 4 suited combos for any two ranks.
Dealt suited connectors (e.g., 76s, JTs)	2.11%	1 in 47	Any two consecutive ranks of the same suit. Premium for flush + straight potential.
Dealt suited ace (Axs)	3.62%	1 in 27.6	Any ace with a same-suit second card. Best flush starting hands.

The Math Worked Out

With 2 suited hole cards (say, both hearts), the remaining deck has 11 hearts and 39 non-hearts among 50 unseen cards. The flop is 3 cards from this deck.

Hypergeometric probability

Total flops: C(50,3) = 19,600
3 hearts flop: C(11,3) × C(39,0) = 165 → 0.842%
2 hearts flop: C(11,2) × C(39,1) = 2,145 → 10.944%
1 heart flop: C(11,1) × C(39,2) = 8,151 → 41.587%
0 hearts flop: C(11,0) × C(39,3) = 9,139 → 46.628%
Sum = 100.001% (rounding)

Definitions

Flush

A five-card hand of the same suit. In Texas Hold'em, made with 2 suited hole cards plus 3 community cards of the same suit, OR 1 hole card with 4 board cards of the suit.

Flush Draw

Four cards of one suit, needing one more to complete the flush. A 9-out drawing hand with ~35% equity over two streets.

Backdoor Flush Draw

Only 3 cards of one suit (2 hole + 1 board, or 1 hole + 2 board). Needs both turn AND river to be the suit. ~4% equity.

Nut Flush

An ace-high flush — the best possible flush. Holding the ace of a suit is significant for both nut flush equity and as a blocker against opponents.

Suited Connectors

Two consecutive ranks of the same suit (e.g., 7♠6♠). Premium for combo draws — flush draws plus straight draws on the same board.

Frequently Asked Questions

What are the odds of flopping a flush with suited hole cards?

0.84% — approximately 1 in 119. The math: after your two suited hole cards, 11 cards of your suit remain among 50 unseen cards. The flop needs all 3 cards to be your suit. C(11,3) = 165 favourable combinations out of C(50,3) = 19,600 total flops. 165 / 19,600 = 0.842%.

What is the probability of flopping a flush draw?

10.94% — about 1 in 9.1 flops. The flop must contain exactly 2 cards of your suit. Combinations: C(11,2) × C(39,1) = 55 × 39 = 2,145 / 19,600 = 10.94%. A flush draw is the most valuable common drawing hand because 9 outs give ~35% equity to complete by the river.

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 not, the river is 9/46 = 19.57%. Combined: 1 − (38/47 × 37/46) = 34.97%. The Rule of 4 estimates this as 9 × 4 = 36% — close but slightly high.

What are backdoor flush odds?

Flopping a backdoor flush draw (one card of your suit on flop) is 41.6%. Completing the backdoor flush by the river requires both the turn AND the river to be your suit: (10/47) × (9/46) = 4.16%. Backdoor flushes add about 4% equity to marginal hands and can swing close pot-odds decisions.

Do suited cards really matter that much?

Yes — suited hole cards add 2-4% equity preflop. Across thousands of hands, this equity edge compounds significantly. Suited connectors gain even more because they can also make straights. The downside: when you flop a flush draw and don't complete it, the hand is rarely worth more than top pair.

What's the probability of flopping a flush with 3 suited cards on the board (but only 1 in my hand)?

About 0.27%. The flop must contain 3 cards of one suit, AND that suit must match one of your hole cards. With 2 unsuited hole cards, you have effectively 2 'live suits' — but you'd only make a 4-card flush draw, not a flush. The 0.84% number applies only to suited hole cards.

How often do I flop a flush from suited connectors specifically?

Identical to any other suited hole cards: 0.84%. The connectedness has no effect on flush-flopping probability — only flush-completing strategy. The advantage of suited connectors (e.g., 76s) is the added straight potential when the flush doesn't materialize.

See live flush equity on any board

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