Poker rewards the player who knows what a hand is worth before the chips move. Not roughly. Numerically. This is poker odds explained without the fog - one poker odds chart of the numbers we lean on every session: how odds and probability are quoted, which preflop matchups come back hand after hand, and what a draw actually costs. The heavier lifting lives on two subpages, pot odds and outs and equity. Read this one first. Branch out when a section earns it.
Poker odds or probability, explained
Card rooms quote odds against. 4:1 against means four misses for every hit. Probability states the same fact as a percentage: 4:1 against is 20%, because you win one time in five. Neither form is smarter than the other. Odds compare cleanly with pot ratios, percentages compare cleanly with equity, and a working player switches between them without noticing.
The conversion is one line. Odds of X:1 against become a percentage when you divide 1 by X plus 1. So 3:1 is 25%, 2:1 is 33%, 5:1 is about 17%. Going the other way, a 20% shot misses 80% of the time, and 80 divided by 20 is 4, so 4:1 against. That is poker odds explained in a single line.
One warning before the charts. Odds describe the long run, and the long run is longer than a session. A 4:1 shot will sometimes hit three times in a row, and a heavy favorite will sometimes lose four straight, without either result meaning the numbers were wrong. The probability figures below tell you what a decision is worth on average, which is the only question a player controls. What the deck does with any single hand is its own business.
Preflop matchups that keep coming back
Before the flop, most confrontations fall into a handful of shapes. Learn the shapes and you stop needing to calculate at all. One caveat: exact suits move these figures by a point or so, which is why the table says "about" without printing it.
| Matchup | Favorite | Underdog |
|---|---|---|
| AA vs KK (overpair vs underpair) | 81.9% | 18.1% |
| QQ vs AK suited (the classic race) | 54% | 46% |
| QQ vs AK offsuit | 57% | 43% |
| AK vs AQ (dominated ace) | 74% | 26% |
| AA vs 76 suited | 77% | 23% |
| 22 vs AK suited | 50% | 50% |
Three lessons hide in that little board. A bigger pair against a smaller pair is a rout, about 4.5:1, which is why set-over-set and pair-over-pair build the biggest pots in the room. A pair against two overcards is the famous coin flip, close enough to even that tournament players sigh and shove. And a dominated hand, AK against AQ, is quietly the worst spot of the lot: the AQ player usually thinks the match is close, and it is close to 3:1 against.
Notice the last row. A pair of deuces against ace-king suited is a genuine 50:50, which says something about how little a baby pair is worth and how much live overcards are. If your preflop choices need work before the odds do, start with our starting hands guide, and make sure the hand rankings are reflex rather than recall.
What a draw is worth on the odds chart
This row of the poker odds chart is where most money leaks. After the flop the arithmetic gets friendlier, because the unknowns shrink. You have seen five cards, so 47 remain unseen. Whatever helps you within those 47 is an out. Divide outs by 47 for the turn, by 46 for the river, and use the by-river column when you are all in or committed to seeing both cards.
| Outs | Turn | River | By river |
|---|---|---|---|
| 4 (gutshot) | 8.5% | 8.7% | 16.5% |
| 8 (open-ender) | 17.0% | 17.4% | 31.5% |
| 9 (flush draw) | 19.1% | 19.6% | 35.0% |
| 15 (flush draw + open-ender) | 31.9% | 32.6% | 54.1% |
Read the flush draw row twice, because it corrects two popular myths at once. The draw gets there by the river 35.0% of the time, about 1.9:1 against, which is far better than pessimists play it and far worse than optimists do. A gutshot, at 16.5% by the river, is a 5:1 dog and deserves the respect you would give any 5:1 dog: very little, at full price. Meanwhile the 15-out monster at the bottom is actually a slight favorite against a bare made hand, which is why good players jam their combo draws instead of calling with them.
Use the columns for what they are. Facing a single bet on the flop, the turn column is your number, because that bet only buys one card. The by-river column belongs to all-in spots, where both cards are guaranteed. Mixing the two is the most common odds mistake in low-stakes games, and it always errs in the caller's favor, which is how it survives.
Pot odds set the price
Knowing your draw hits 35% of the time answers half the question. The other half is what the table is charging you to find out. That is pot odds: the ratio between what is already in the middle and what the call costs. A half-pot bet lays 3:1, so you need 25% equity to continue. A pot-sized bet lays 2:1 and asks for 33%. The two-step method, a chart of every common bet size, and an honest section on implied odds are all on the pot odds page.
Outs feed the equity
Equity starts with an accurate count of your outs, and accurate counting is a skill, because some outs are dirtier than they look. An open-ender is 8 outs on paper and sometimes 6 in practice, once you discount the cards that complete an opponent's flush. The outs and equity page covers clean counting, the full 1-to-15 chart, and the rule of 2 and 4 with its error margins. Short version: multiply outs by 2 for one card, by 4 for two cards, and trust it up to about 8 outs.
Where to practice
Nobody computes 19.6% while a clock ticks and a stranger stares. The math has to live in your hands before it lives in a hand. The odds trainer is built for exactly that: it deals real situations, asks for the number, and tells you immediately whether you were right and by how much. Ten minutes a day beats an hour of reading.
When the drills get comfortable, pressure-test them in all-in or fold, where every decision is a preflop equity judgment with no folding into the weeds later. Everything here is free play. The only thing at stake is whether you knew the number.