Open-Ended Straight Draw Odds — OESD Probability & Strategy
Last updated: May 27, 2026
An open-ended straight draw (OESD) has exactly 8 outs — two specific ranks, one at each end of the 4-card straight sequence. The exact probability of completing on the turn is 8/47 = 17.02%; by the river with two cards to come, it is 31.45% (Rule of 4 approximation: 8 × 4 = 32%). The OESD is one of the strongest drawing hands in Texas Hold'em — with 8 outs you have pot odds almost as good as a coin flip. Combined with a flush draw, it becomes a 15-out combo draw with 54% equity — a statistical favourite over most made hands.
OESD Probability — The Exact Numbers
With 8 outs and 47 unseen cards remaining on the flop, the OESD has a 17.02% probability of completing on the turn. With 46 cards remaining on the turn, it is 17.39% to hit on the river. The combined flop-to-river probability is calculated as 1 − (39/47 × 38/46) = 31.45% — the second-most cited drawing probability in poker after the flush draw at 34.97%.
Flop → River
31.45%
Rule of 4: 32%
Turn Card Only
17.02%
8 / 47 cards
River Card Only
17.39%
8 / 46 cards
Outs
8
Two ranks completing
The Math — Exact Flop-to-River Calculation
P(miss turn) = 39/47 = 82.98%
P(miss river | missed turn) = 38/46 = 82.61%
P(miss both) = 39/47 × 38/46 = 68.55%
P(complete by river) = 1 − 68.55% = 31.45%
OESD vs Other Draws — Probability Comparison
The OESD sits in the middle of the draw strength hierarchy — stronger than gutshots and unpaired overcards, slightly weaker than a flush draw, and dramatically weaker than combo draws. Understanding this spectrum is fundamental to draw equity decisions.
All OESD Scenarios — Exact Probabilities and Pot Odds
The bare OESD is already a strong draw. The real power comes from combo draws — adding a flush draw creates 15 outs and a 54% equity hand. The table below covers every major OESD scenario with exact probability and required pot odds for profitability.
OESD Shapes — Structural Variations by Board Position
All OESDs have 8 outs and 31.45% equity, but their structure varies based on whether your hole cards sit above, below, or around the connected board cards. Understanding these variations affects how well-disguised your draw is and how often you extract maximum value when it completes.
Pot Odds Reference — When to Call an OESD
Unlike gutshots, the OESD can profitably call most realistic bet sizes on the flop when two cards remain. The key question is whether you will see both turn and river for the cost of the flop call — if your opponent bets the turn when you miss, you need to factor that into your flop decision.
Flop call/fold reference — 2 cards to come (31.45% equity, bare OESD)
- 1/4 pot bet (you invest 16.7% of total pot)Auto-call — nearly 2x your threshold
- 1/3 pot bet (you invest 20% of total pot)Easy call
- 1/2 pot bet (you invest 25% of total pot)Call — above threshold
- 3/4 pot bet (you invest 30% of total pot)Marginal call — just above threshold
- Pot-sized bet (you invest 33% of total pot)Fold without implied odds
- 2x pot overbet (you invest 40% of total pot)Auto-fold
The 3/4-pot bet threshold is the critical one for most players — calling a 3/4-pot bet on the flop with a bare OESD and two cards remaining is mathematically justifiable (30% equity vs 30% invested) but only barely. Most strong players would call here with implied odds from their OESD completing. A pot-sized bet tilts toward a fold unless you have additional equity sources.
OESD as a Semi-Bluff — EV Calculation and Lines
The OESD is the textbook semi-bluff hand in Texas Hold'em. With 31.5% raw equity when called plus realistic 30–50% fold equity on most boards, semi-bluffing an OESD is strongly positive expected value in nearly every spot. The math confirms it:
Semi-Bluff EV — OESD Bet 1/2 Pot, 40% Fold Equity
Villain folds (40% of the time): Win current pot
EV(fold) = 0.40 × pot = +0.40 pot
Villain calls (60% of the time):
EV(call) = 0.315 × 1.5pot − 0.685 × 0.5pot = 0.47pot − 0.34pot = +0.13pot
Weighted EV(call) = 0.60 × 0.13pot = +0.08pot
Total EV = 0.40 + 0.08 = +0.48 pot per semi-bluff attempt
Flop check-raise — the strongest OESD line
Check-raising the flop with an OESD creates maximum fold equity against villain's entire c-bet range, including all air and weak made hands. If called, you have 31.5% equity with two cards remaining plus implied odds when you hit. The check-raise line is particularly powerful on boards that are dry except for your OESD — e.g., 9-8-2 rainbow where you hold T-7s.
Donk-lead the flop — exploiting passive opponents
Leading into the preflop aggressor with an OESD on dynamic boards works against passive players who check behind often. A 1/3 pot lead builds the pot when called, folds hands that were going to miss in any case, and denies free card equity to opponents with overcards. Best used on boards that heavily favour your calling range over villain's range.
Float and turn barrel — the deferred semi-bluff
Calling the flop c-bet with an OESD and betting the turn creates a powerful range advantage: you can have straights, two pair, and sets when you bet turns, while villains who c-bet the flop and check the turn have capped their range. Turn barrel OESDs work best when the turn card is a scare card for villain's top pair or when it adds additional equity to your draw.
OESD + flush draw — near-automatic raise
With 15 outs and 54% equity, the OESD + flush draw combo is a statistical favourite over top pair. This hand should almost always raise for value and fold equity rather than just call. Pot-committing on the flop with 54% equity is equivalent to getting it in as a slight favourite in a coinflip — standard practice. Build the pot, put villain in difficult decisions, and realise your equity.
Backdoor Draws and OESD Equity Adjustments
The 31.45% base equity of an OESD can be augmented by backdoor draws — draws that require both turn and river to complete. Backdoor flush draws add approximately 4% equity; backdoor straight draws add 1-2%. These small additions can tip borderline calls or semi-bluffs into profitable territory.
OESD + backdoor flush
~35%
~1.9:1
Backdoor flush draw (needing turn + river of same suit) adds ~4% equity to the base OESD. Common with suited connectors that have an OESD. Justifies calls against slightly larger bets.
OESD + pair (two pair / trips draw)
~42%
~1.4:1
When your OESD includes a paired board card, you have additional outs to two pair and trips. 8 + 5 ≈ 11 discounted outs. This is one of the strongest non-flush drawing combinations.
OESD + overcards
~45%
~1.2:1
Two overcards add 6 outs to top pair (discount 1-2 for reverse implied odds). ~14 effective outs, ~45% equity. Near-favourite over top pair — can justify calling most bet sizes.
Definitions
Frequently Asked Questions
What are the odds of hitting an open-ended straight draw?
An OESD has 8 outs and the probability of completing from flop to river (two cards remaining) is 31.45%. The Rule of 4 approximation gives 8 × 4 = 32%, within 0.6 percentage points of the exact figure. On the turn alone the OESD hits 8/47 = 17.02%; on the river alone it hits 8/46 = 17.39%. These probabilities make the OESD one of the strongest single-category drawing hands in Texas Hold'em — only a flush draw (34.97%) and combo draws are stronger.
How many outs does an OESD have?
An open-ended straight draw has exactly 8 outs. Two ranks complete the straight — one at the high end and one at the low end. Each rank has 4 cards in the deck, giving 4 + 4 = 8 outs. Example: holding T-9 on a flop of 8-7-2, a jack (4 jacks) completes 7-8-9-T-J (high end) and a 6 (4 sixes) completes 6-7-8-9-T (low end). This is what distinguishes an OESD from a gutshot — a gutshot has only one completing rank (4 outs) rather than two completing ranks (8 outs).
What pot odds do I need to call with an OESD?
With two cards to come (flop call decision), you need at least 2.18:1 pot odds to call profitably with a pure OESD — meaning you should be investing less than 31.45% of the total pot. A half-pot bet offers 3:1 pot odds (you invest 25% of total pot), which is better than you need. A pot-sized bet offers 2:1, which is slightly below threshold — a marginal fold without implied odds. On the turn with one card remaining, you need 4.88:1 (17.02% equity). Half-pot turn bet = 3:1 = fold without significant implied odds.
Is an OESD a good draw?
Yes — the OESD is one of the strongest non-combo draws in poker. With 31.5% equity flop-to-river, it can profitably call half-pot bets on the flop and is a standard semi-bluff hand. When combined with a flush draw, it becomes a 15-out combo draw (54.1% equity) — a favourite over most made hands. Unlike a gutshot (16.5% equity), the OESD has enough raw equity to play profitably in many situations without large implied odds. Skilled players raise OESDs frequently as semi-bluffs, combining fold equity with draw equity.
What is the OESD + flush draw and why is it so strong?
The OESD + flush draw combination gives you approximately 15 outs (8 straight outs + 9 flush outs = 17, minus 2 for double-counted cards that would complete both). With 15 outs and 54.1% equity from flop to river, this combo draw is a statistical favourite over top pair, two pair, and even many sets. It is considered the strongest common drawing hand in Texas Hold'em. When you have OESD + flush draw, you should typically raise for value and fold equity rather than just calling — you are the statistical favourite and want to maximise the pot.
Should I semi-bluff with an OESD?
Yes — the OESD is the textbook semi-bluff hand in poker. With 31.5% equity when called plus 30-50% typical fold equity on most boards, semi-bluffing is strongly positive expected value. A simple EV calculation: if you bet 1/2 pot and villain folds 40% of the time, EV = 0.4 × pot + 0.6 × (0.315 × 1.5pot − 0.685 × 0.5pot) ≈ +0.45 pot per attempt. Even at lower fold frequencies, the OESD semi-bluff is profitable. Common semi-bluff lines: check-raise the flop, donk-lead the turn, float and barrel on completing or scary turns.
What is the difference between an OESD and a double gutshot?
Mathematically, an OESD and a double gutshot are identical — both have 8 outs and 31.45% equity from flop to river. The difference is structural: an OESD has two adjacent completing ranks at each end of the 4-card straight sequence. A double gutshot has two separate inside straight draws that happen to total 8 outs combined. Example: 6-9 on a 5-7-8 board is a double gutshot (need 6 for one straight, or 9 — wait, those are your hole cards. Example: holding 5-9 on 6-7-8 — need a 4 for 4-5-6-7-8 or a 10 for 6-7-8-9-10 — that's a double gutshot with 8 outs). In practice, treat double gutshots identically to OESDs: same equity, same call/raise thresholds.
Recommended Reading
The Mathematics of Poker — Bill Chen & Jerrod Ankenman
The definitive quantitative treatment of poker — game theory, equity, and EV from first principles.
Modern Poker Theory — Michael Acevedo
GTO principles made practical — ranges, frequencies, and solver-backed strategy in one volume.
The Theory of Poker — David Sklansky
The classic foundation every serious player starts with — the Fundamental Theorem of Poker.
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