Poker Odds You Need to Know by Heart
The essential poker odds every player should memorize: draw completion, set mining, and starting-hand frequencies. Verified with real combinatorics.
On this page · 8 sections
A handful of poker odds come up so often that knowing them cold saves you from computing anything at the table. You don’t need a full chart memorized — you need the dozen numbers below, the ones behind nearly every real decision. Every figure here is verified with actual combinatorics, so you can trust them the way you’d trust a multiplication table.
Draw-completion odds
These are the workhorses — the odds a common draw fills. “One card” means the next card only (a turn or river decision facing more betting); “by the river” means you’ll see both remaining cards.
| Draw | Outs | One card | By the river |
|---|---|---|---|
| Flush draw | 9 | 19.6% | 35.0% |
| Open-ended straight | 8 | 17.0% | 31.5% |
| Flush + open-ender | 15 | 31.9% | 54.1% |
| Gutshot straight | 4 | 8.5% | 16.5% |
| Two overcards | 6 | 12.8% | 24.1% |
Two things to notice. First, the combo draw of 15 outs is a favorite by the river — better than half the time — which is why you almost never fold one. Second, the “by the river” column applies only when you’ll actually see both cards for one price; if the turn brings a fresh bet, use the smaller one-card figure.
The rule that reproduces the chart
You don’t have to memorize the table if you can regenerate it. The rule of 4 and 2 does exactly that: multiply your outs by 4 for two cards to come, or by 2 for one card.
- Flush draw, 9 outs:
9 × 4 = 36%(exact 35.0%) and9 × 2 = 18%(exact 19.6%). - Straight draw, 8 outs:
8 × 4 = 32%(exact 31.5%) and8 × 2 = 16%(exact 17.0%).
The estimate drifts a little high above nine outs, so trim big draws by a couple of points. Otherwise it’s accurate enough to price any call on sight.
Set-mining and made-hand odds
These decide whether small pairs and speculative hands are worth playing.
- Flop a set with a pocket pair: 11.8% (about 7.5 to 1 against). You hold two cards of your rank; the three-card flop must contain at least one. This is the number behind “set mining” — you need deep enough stacks to win a big pot the ~1-in-8 times you connect.
- Improve a pair to trips or better by the river (already holding a pair on the flop, 2 outs for the set): about 8.4% by the river.
- Hold up with an overpair versus a lower pair all-in preflop: about 80% to 82% — the classic “cooler” runs a hair better than 4 to 1.
Starting-hand frequencies
How often the good hands even arrive, computed from the 1,326 possible two-card combinations:
| Starting hand | Combinations | Frequency | About once every |
|---|---|---|---|
| Any pocket pair | 78 | 5.9% | 17 hands |
| Pocket aces | 6 | 0.45% | 221 hands |
| A specific pair (e.g. 88) | 6 | 0.45% | 221 hands |
| Any two suited cards | 312 | 23.5% | 4 hands |
| A specific big hand (e.g. AK) | 16 | 1.2% | 83 hands |
The math behind them is straightforward: 13 pairs × 6 combinations each = 78 pairs; 6 out of 1,326 gives 0.45% for a single pair; and AK has 16 combinations (four aces × four kings). These frequencies explain why premium hands feel rare — because they are. You’ll wait an average of 221 hands between pocket aces.
Flopping odds worth remembering
- Flop a flush with two suited cards: 0.84% — the three flop cards must all match your suit, which is
C(11,3) ÷ C(50,3), about 1 in 118. Flushes are made on the draw, not flopped whole. - Flop at least a pair when you hold two unpaired cards: about 32% — roughly a third of the time you connect for a pair or better.
For the counting behind figures like these, the combinatorics guide shows the full method.
How to actually use these
Memorizing numbers is pointless if you don’t wire them to decisions. The move is always the same: take the odds from this page, convert the bet you face into a required equity, and compare. A flush draw’s 19.6% one-card equity beats a quarter-pot price (16.7%) but loses to a half-pot price (25%) — so the same memorized number produces opposite plays depending on the bet. The numbers are the input; the comparison is the decision.
Common mistakes
- Using the “by the river” number against a single bet when the turn will bring more action.
- Overvaluing gutshots — at 16.5% by the river, they need excellent implied odds to chase.
- Forgetting set-mining needs depth — 7.5-to-1 odds demand a big payoff the times you hit.
- Treating frequencies as guarantees — 221-hand averages swing wildly in the short run.
The takeaway
You don’t need a memorized encyclopedia — you need the draw-completion numbers, the set-flop odds, and the starting-hand frequencies above, all verified and ready to recall. Pair them with a fast way to count outs and the rule of 4 and 2, and you’ll price nearly any spot at the Hold’em table. Tie it all together in the poker odds & math hub.
Frequently asked
What poker odds should every player know?
The draw-completion numbers for a flush draw (about 35% by the river) and an open-ended straight (about 32%), the odds of flopping a set with a pocket pair (about 11.8%, roughly 7.5 to 1), and the starting-hand frequencies for pairs and premium holdings. Those cover most spots.
What are the odds of hitting a flush draw?
A nine-out flush draw completes about 19.6% of the time on the next single card, and about 35% of the time by the river when you'll see two cards. From nine outs, the rule of 4 and 2 estimates 36% and 18%, which are close enough for the table.
What are the odds of flopping a set with a pocket pair?
About 11.8%, or roughly 7.5 to 1 against. You have two cards of your rank left in a 50-card deck, and the flop must bring at least one of them, which happens a little under one time in eight.
How often are you dealt a pocket pair?
About 5.9%, or once every 17 hands. There are 78 pocket-pair combinations out of 1,326 possible starting hands, so a pair arrives a little under 6% of the time.