Flopping a Straight Odds: Connector Probability

Last updated: May 15, 2026

Middle connectors flop a straight 1.31% of the time — about 1 in 76 flops. They flop an open-ended straight draw 9.6% (1 in 10.4) and a gutshot 16.55% (1 in 6.0). One-gappers (e.g., T8) flop straights 0.96%, two-gappers 0.59%. Combined, true connectors connect with the flop for some straight equity 27.5% of the time — the reason they remain profitable speculative hands at deep stacks.

Probability by Hole-Card Type

Straight probability depends entirely on connectedness. Middle connectors maximize straight-making combinations because they sit inside 4 possible 5-card runs. Edge hands and gapped hands reduce that count.

Flop-a-straight probability by hole-card type

Scenario	Probability	Odds	Detail
Connectors — middle range (e.g., 87, 98, T9, JT)	1.31%	1 in 76	4 ways to make a straight using both hole cards plus 3 specific board cards.
Connectors — low/high end (e.g., 32, KQ, QJ)	0.98%	1 in 102	Fewer straight options because of the deck edge — A and 2 cap the range.
One-gappers (e.g., 75, T8, J9)	0.96%	1 in 104	3 ways to make a straight (only the gap-filling combinations work).
Two-gappers (e.g., 74, J7, T7)	0.59%	1 in 169	2 ways to make a straight.
Suited connectors (e.g., 9♥8♥)	1.31%	1 in 76	Same straight probability as offsuit connectors, plus 0.84% chance of flush.
Disconnected hands (e.g., K3, J2)	0.04%	1 in 2,500	Cannot use both hole cards for a straight; only one-hole-card straights possible.

Flopping a Straight Draw (Not Made)

Made straights are rare — but straight draws are common and profitable. An OESD has 8 outs (~32% equity); a gutshot has 4 outs (~17%). Combined, connectors flop some kind of straight-related equity 27.5% of the time.

Straight-draw outcomes from connectors

Scenario	Probability	Odds	Detail
Connectors — flop OESD (8 outs)	9.60%	1 in 10.4	Open-ended straight draw — 8 cards complete the straight by the river.
Connectors — flop gutshot (4 outs)	16.55%	1 in 6.0	Inside straight draw — only 4 cards complete the straight.
Connectors — flop double gutshot (8 outs)	1.40%	1 in 71	Rare two-way gutshot — same 8 outs as OESD but disguised.
OESD → straight by river	31.45%	1 in 3.2	8 outs over two streets. Rule of 4 & 2 estimate: 8 × 4 = 32% — very accurate.
Gutshot → straight by river	16.47%	1 in 6.1	4 outs over two streets. Rule of 4 estimate: 4 × 4 = 16% — exact.
Backdoor straight draw → straight by river	1.45%	1 in 69	Both turn and river must complete the straight. Adds ~1.5% to marginal hands.

Why Middle Connectors Are Best

A pair of hole cards like 8♠7♥ can complete a straight in 4 distinct ways: 4-5-6, 5-6-9, 5-6-T (no), wait — let me list correctly. The straights including 8 and 7 as both hole cards are: 4-5-6-7-8, 5-6-7-8-9, 6-7-8-9-T, 7-8-9-T-J. That is 4 distinct 5-card runs.

Why edges matter

A-2: only 1 straight possible (A-2-3-4-5, the wheel)
3-2: 2 straights (A-2-3-4-5, 2-3-4-5-6)
4-3: 3 straights
5-4 through T-9: 4 straights (peak)
J-T: 4 straights (A-K-Q-J-T included)
Q-J: 3 straights (no A-K-Q-J-T issue — wait, yes it counts)
K-Q: 2 straights
A-K: 1 straight (Broadway only)

The peak straight-making range is 5-4 through T-9. These middle connectors should be played wider in suited and offsuit form when stack depth justifies speculative calls.

Definitions

Connector

Two consecutive ranks (e.g., 7-6, J-T). Premium starting hands for flop-straight equity and OESDs.

Open-Ended Straight Draw (OESD)

Four consecutive cards needing either end to complete the straight. 8 outs, ~32% equity by river. With 8-7 on a J-T-9 board: any 6 or J makes a straight.

Gutshot Straight Draw

An inside straight draw — needs one specific rank in the middle. 4 outs, ~17% equity. With 8-7 on a J-9-6 board: only a T makes a straight.

Double Gutshot

Two separate gutshots producing 8 outs total. Disguised because opponents see no obvious straight draw. Example: T-7 on Q-9-6 — needs an 8 (gutshot for T-9-8-7-6) or J (T-9-8-7-J wait, no, T-9-...8-7 etc — varies).

Wheel

The A-2-3-4-5 straight (also called 'bicycle'). Lowest possible straight. Wheel-completing hole cards (e.g., 3-4, A-2) have unique flop-straight patterns.

Frequently Asked Questions

What are the odds of flopping a straight with connectors?

1.31% for middle connectors (e.g., 87, 98, T9, JT) — about 1 in 76 flops. Connectors near the deck edge (e.g., 32, KQ) flop straights slightly less often at 0.98% because there are fewer ways to make a straight when an ace or 2 caps the run. A specific connector like J♠T♥ flops a straight with 4 possible board combinations: K-Q-9, Q-9-8, 9-8-7, or A-K-Q for Broadway.

What about one-gappers and two-gappers?

One-gappers (e.g., 75, T8) flop a straight 0.96% (1 in 104). Two-gappers (e.g., 74, J7) flop a straight 0.59% (1 in 169). The gap reduces straight-making combinations because fewer 5-card runs include both hole cards. Three-gappers like T6 essentially cannot use both cards for a straight.

How often do connectors flop an open-ended straight draw?

9.60% — about 1 in 10.4 flops. An OESD has 8 outs and ~32% equity over two streets. Combined with the 1.31% flop-straight rate and the 16.55% gutshot rate, connectors connect with the flop in some straight-related way 27.5% of the time.

Are suited connectors better than offsuit for flopping straights?

Identical for straights — the suit does not affect straight probability. Suited connectors gain 0.84% from flush flops and ~10.9% from flush draws. The combined power makes suited connectors the most profitable speculative hands in deep-stack play: they hit multiple draw types simultaneously.

What is the probability of flopping a straight from any random hand?

About 0.45% on average — when including disconnected hole cards that cannot flop straights using both hole cards. The 1.31% figure applies only to true connectors. Many hands (e.g., K3, T2, J5) cannot flop a straight using both hole cards at all.

Can I flop a straight using only one of my hole cards?

Yes — if the board contains 4 connected cards. For example, holding K♠ on a Q-J-T-9 board makes a king-high straight. These 'one-hole-card straights' add about 0.08% to the flop-straight probability for hands that contain at least one card connecting to the board. They are rare and unprofitable to specifically play for.

Why do connectors lose value at the deck edges?

A run of 5 connected cards must use both hole cards as 'inside' cards of the straight. With A2 in hand, only A-2-3-4-5 (the wheel) works — one possible straight. With 32, only A-2-3-4-5 and 2-3-4-5-6 — two straights. Compare to middle connectors like 87, which can make 4-5-6-7-8, 5-6-7-8-9, 6-7-8-9-T, or 7-8-9-T-J — four straights.

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