The Felt
Poker Odds & Math

How Often Do You Hit Your Draw

A flush draw hits ~35% by the river, an open-ender ~32%, a gutshot ~17%. Turn vs river odds, the rule of 4 and 2, and a worked pot-odds call.

Every draw has a number, and knowing it turns a guess into a decision. The short version: a flush draw hits about 35% of the time by the river, an open-ended straight draw about 32%, and a gutshot about 17%. Learn the outs behind each and you can price any call in seconds.

The core answer: count outs, then convert

Stat card showing a flush draw hits about 35 percent by the river
A nine-out flush draw completes about 35% by the river and ~19% on the next card alone.

An “out” is a card that completes your hand. The number of outs is the whole game:

DrawOutsHit by riverHit on next card
Flush draw9~35%~19%
Open-ended straight8~32%~17%
Gutshot straight4~17%~8.5%
Two overcards6~24%~13%
Flush + open-ender (combo)15~54%~33%

The fastest way to get these at the table is the rule of 4 and 2: multiply outs by 4 with two cards to come, or by 2 with one card to come. Nine outs times 4 is 36% — within a whisker of the exact 35%.

Why “by the river” and “next card” differ

On the flop you have two cards to come, the turn and the river, so your total chance is higher. Once the turn card lands and misses, you’re down to one card, and your chance for that single river card is roughly half. A flush draw is ~35% from the flop but only ~19% from the turn. This matters because a bet you can call on the flop may be a fold on the turn if the price gets worse — the odds shrank underneath you.

The exact flush-draw calculation: nine cards complete you out of 47 unseen after the flop. The chance of missing both remaining streets is (38/47) × (37/46) ≈ 0.65, so hitting is about 35%. Full detail lives in flush draw odds.

A worked example

You hold Jh Th and the flop is Ah 7h 2c. You have a nine-out flush draw. Your opponent bets 50 into a 100 pot, making it 150 total and 50 to call. Your pot odds are 50 to 150, or you need to win 25% of the time to break even.

Your flush draw is 35% to hit by the river — comfortably above 25%. And that ignores backdoor outs and the chance a jack or ten pairs to win. The call is clearly correct. If instead the bet were pot-sized (100 into 100), you’d need 33% equity, still below your 35% — a thin but fine call, and better still once you factor implied odds on the streets you win a bigger pot.

How it changes by situation

Do you get to see both cards? If you’re all-in on the flop, use the full “by river” number. If money is behind and your opponent will bet the turn, treat it closer to the single-card number, because you may have to fold before the river.

Are your outs clean? A flush draw on a paired board risks losing to a full house even when you hit. Discount tainted outs — count 8 instead of 9 if one of your flush cards also pairs the board dangerously.

Do you have a combo draw? A flush draw plus an open-ender is ~15 outs and over 50% by the river — you’re often the favorite and should play it fast, not passively.

Common mistakes

Using the by-river number when you can’t see the river for free. Facing bets on two streets, your effective equity is lower because you might fold the turn. Don’t call a big flop bet “because I’m 35%” if the turn price will force you out.

Counting dirty outs as clean. Overcards that make your opponent a straight, or flush cards that pair the board, are not full outs. Shade your count down.

Chasing gutshots without a price. A gutshot is only ~17% by the river and ~8.5% per card. You need either great pot odds or strong implied odds to call — otherwise it bleeds chips.

Quick checklist

  • Flush draw ~35% by river; open-ender ~32%; gutshot ~17%.
  • Rule of 4 and 2: outs × 4 (two cards) or × 2 (one card).
  • Single-card odds are about half the by-river figure.
  • Combo draws (~15 outs) exceed 50% — play them aggressively.
  • Compare your hit % to your pot odds before every call.

Count your outs, convert with the rule of 4 and 2, and check the price. Do that consistently and your drawing decisions stop being hope and start being math.

Frequently asked

How often do you hit a flush draw?

A nine-out flush draw completes about 35% of the time from flop to river, and about 19% on any single card. That is why you can profitably call reasonable bets on the flop with a flush draw when the pot lays you 2 to 1 or better.

How often does an open-ended straight draw hit?

An open-ended straight draw has eight outs and completes about 32% by the river, or roughly 17% on the next card alone. A gutshot has only four outs and hits about 17% by the river.

What is the rule of 4 and 2?

Multiply your outs by 4 to estimate your chance of hitting by the river when you have two cards to come, or by 2 for a single card. Nine flush outs times 4 is about 36%, which closely matches the exact 35%.

About the author

Solver-driven study, quantitative background · Reviewed by Elena Fowler, managing editor
Last updated 2026-07-09