Poker Equity & OddsOdds of flopping a straight
Short answer
A connector like 76 or JT flops a straight 1.31% of the time, about one flop in 77. It flops an eight-card straight draw (open-ended or a double gutshot) 9.7% of the time and a gutshot 16.8%. Away from the ace and the deuce, each gap costs one of the four straights a connector can make: a one-gapper like 75 flops a straight 0.98%, a two-gapper 0.65%, a three-gapper 0.33%. Every one of the 19,600 flops counted in the Poker Equity & Odds engine.
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Straight and straight draw on the flop, by hand
| Hand | Shape | Straights it can make | Flops a straight | One in | Eight-card draw | Gutshot |
|---|---|---|---|---|---|---|
| AK | connector, top | 1 | 0.33% | 306 | 0.0% | 11.3% |
| JT | connector | 4 | 1.31% | 77 | 9.7% | 16.8% |
| 76 | connector | 4 | 1.31% | 77 | 9.7% | 16.8% |
| 54 | connector | 4 | 1.31% | 77 | 9.7% | 16.8% |
| J9 | one gap | 3 | 0.98% | 102 | 7.0% | 14.8% |
| 75 | one gap | 3 | 0.98% | 102 | 7.7% | 14.8% |
| 74 | two gaps | 2 | 0.65% | 153 | 4.7% | 13.4% |
| 73 | three gaps | 1 | 0.33% | 306 | 2.0% | 11.3% |
| 72 | no straight | 0 | 0.00% | never | 1.6% | 4.6% |
Suits don't matter for straights, so each row holds for the suited and the offsuit hand alike.
Why each gap costs a straight
connector
4 straights: 3 to 7, 4 to 8, 5 to 9, 6 to 10.
three gaps
1 straight: 3 to 7.
A straight that uses both of your cards needs the flop to bring the other three ranks, one card of each. Every straight is the same number of flops, so the chance only depends on how many straights your hand can make. 54, 76 and JT can each make 4, which is why they share the same 1.31%. Each gap takes one away, down to a single straight with three gaps. AK is a special case: there is nothing above the ace, so it can make only one straight, the same as 73. The same edge trims other high and low hands: KQ can make two straights and QJ three, and at the bottom 32 can make two and 43 three. With 72 the two cards are too far apart to be in one straight at all.
Straight draws on the flop
A middle connector like 76 flops an eight-card draw 9.7% of the time and a gutshot 16.8%, so 27.8% of flops give it a straight or a straight draw. Eight-card draws drop with each gap, from 9.7% for 76 to 2.0% for 73. Gutshots drop much less, from 16.8% to 11.3%. Even 72 flops a draw now and then, 1.6% eight-card and 4.6% gutshot, using one of its cards with the board. The open-ended straight draw guide takes it from there: how often an open-ender gets there by the river, and what happens when some outs are not clean.
Count the draw you flopped
Tap in your hand and the flop, and Outs & Odds counts the straight outs, any flush outs, and the exact chance one comes, free and offline.
Straights and the rest of the flop
These numbers are the straight side only. For pairs and sets on the flop see odds of flopping a pair and odds of flopping a set, and for how often a hand ends with a straight once all five cards are out, hand odds by the river.
Questions
What are the odds of flopping a straight with connectors?
1.31%, about one flop in 77, for every connector from 54 up to JT. Each of them can make 4 straights, and each straight needs three exact ranks on the flop.
How often do you flop an open-ended straight draw?
With a connector like 76, 9.7% of flops give an eight-card straight draw (open-ended or a double gutshot) and 16.8% a gutshot. Together with the straights, that is 27.8% of flops.
What are the odds of flopping a straight with a one-gapper?
0.98% with a hand like J9 or 75. One gap removes one of the four straights a connector can make.
Do suited connectors flop more straights?
No. Suits never change whether five ranks make a straight, so 76 suited and 76 offsuit flop the same straights. The suit adds flushes and flush draws, which the suited vs offsuit guide counts.
Where the numbers come from. Every figure on this page comes from the app's own engine, the code that runs on your phone. Outs come from the Outs & Odds tool, hit chances are exact counts, and equities count every runout with no sampling. Engine build 482550e8. More worked numbers: flush draw odds and the pot odds cheat sheet.