Poker Hand Rankings — The Complete Cheat Sheet (with the math behind why)
Every Hold'em hand boils down to one question: what are the best five cards each player can make from the seven they see, and whose five cards win? The answer is the hand-ranking chart. It looks simple. It's printed on coasters. And every home game I've sat in has someone misread it at least once a session. This post is the version that sticks — the ten categories in order, the exact combinatorial math behind why they rank where they do, the kicker rule explained without hand-waving, the seven-card-pick-five quirk that confuses beginners, and the four mistakes that quietly cost the most money.
Why the order exists (and why it's not arbitrary)
The ranking isn't a tradition. It's arithmetic. A standard 52-card deck makes exactly 2,598,960 distinct five-card combinations. The rank of each hand category is just: the rarer it is, the higher it beats. That's the whole rule. Memorize the rarity counts and you'll never have to ask "does a flush beat a straight?" again — there are 5,108 flushes and 10,200 straights, so flushes are rarer, so flushes win. Done.
Here are all ten categories with the exact count of five-card combinations that make each one — these numbers add up to 2,598,960:
| # | Hand | Combos | Probability | Example |
|---|---|---|---|---|
| 1 | Royal flush | 4 | 0.000154% | A♠ K♠ Q♠ J♠ T♠ |
| 2 | Straight flush | 36 | 0.00139% | 9♥ 8♥ 7♥ 6♥ 5♥ |
| 3 | Four of a kind | 624 | 0.0240% | J♠ J♥ J♦ J♣ 7♠ |
| 4 | Full house | 3,744 | 0.144% | K♠ K♥ K♦ 4♠ 4♣ |
| 5 | Flush | 5,108 | 0.197% | A♦ J♦ 9♦ 6♦ 2♦ |
| 6 | Straight | 10,200 | 0.392% | Q♠ J♥ T♦ 9♣ 8♠ |
| 7 | Three of a kind | 54,912 | 2.11% | 7♠ 7♥ 7♣ K♦ 4♠ |
| 8 | Two pair | 123,552 | 4.75% | A♠ A♣ 8♥ 8♦ Q♠ |
| 9 | One pair | 1,098,240 | 42.3% | 9♠ 9♥ A♦ 7♣ 2♠ |
| 10 | High card | 1,302,540 | 50.1% | A♥ J♣ 8♦ 5♠ 2♥ |
Two things to notice. First: high card is the most common hand — exactly half of all random five-card combinations are nothing but a high card. Second: the gap between categories isn't constant. Going from one pair (1.1 million combos) to two pair (123k) is a 9× rarity jump. Going from straight (10.2k) to flush (5.1k) is only a 2× jump. That tells you something most players never internalize — a flush is barely rarer than a straight, which is why straights cracking flushes feels common (it should — straight flushes happen, and a flush sitting on a coordinated board often loses to a higher flush).
Walking through each category — what actually counts
The tricky cases all live inside categories, not between them. A few rules that resolve most disputes:
Royal flush — the only "unbeatable" hand
A, K, Q, J, T of the same suit. Four combos total (one per suit). It's not a separate ranking category mathematically — it's just the highest straight flush — but tradition lists it on top because the moment is theatrical. If two players both have a royal flush in a Hold'em game it must be on the board, and the pot is split.
Straight flush — five consecutive same-suit cards
Counts the wheel (5-4-3-2-A of one suit) as the lowest straight flush, because the ace plays low. It does not wrap — Q-K-A-2-3 is not a straight, and it's not a straight flush, no matter how badly the player at seat 3 wants it to be.
Four of a kind — quads + a kicker
If two players somehow have the same quads (only possible when four of a rank are on the board), the fifth card — the kicker — decides. The higher kicker wins.
Full house — three of a rank + a pair
Compare the trips first, then the pair. Aces full of twos (AAA22) beats kings full of queens (KKKQQ), because the trips matter more. Players new to the game sometimes think "but my pair is queens, not twos" — doesn't matter. Trips first.
Flush — five same-suit cards, ranked card-by-card
If two players both make a flush, the player with the highest card wins. If those tie, the second-highest. Then the third. All the way down to the fifth card. Suits do not break ties in Hold'em. (They do in stud-style "high card by suit" tiebreakers used for dealer-button assignment, but never for pots.)
Straight — five in sequence, any suits
The ace plays high (T-J-Q-K-A, called "broadway") or low (A-2-3-4-5, the "wheel"). It cannot do both at once — there's no Q-K-A-2-3 straight. Two-player straight ties are decided by the highest card in the sequence.
Three of a kind — set vs. trips
"Set" means you have a pocket pair and one card matched on the board (you hold 7♠7♥ on a 7♦-K-2 board). "Trips" means you have one card matched twice on the board (you hold A♠7♥ on a 7♦7♣K board). Sets are vastly more valuable because they're disguised — nobody puts you on a set when the board pairs. Same category, same ranking, but in real-money decisions the difference is huge.
Two pair, one pair, high card — kickers everywhere
This is where the kicker rule rules everything, so it gets its own section.
The kicker rule — the one most arguments come from
A poker hand is always exactly five cards. If your "hand" is one pair, you still need five cards to compare against another player's "one pair" — the pair is two cards, and the next three are kickers, ranked highest first.
The rule: compare the made hands first, then compare kickers in descending order, stopping at the first difference. Once you've found a difference, the rest of the kickers don't matter.
An example that comes up every week somewhere. Both players make one pair of aces:
- Player A holds A♠K♣
- Player B holds A♦Q♥
- Board: A♥ 8♠ 5♦ 3♣ 2♠
Both players make AA. The next-highest card after the pair is the first kicker. Player A's is the K; Player B's is the Q. Player A wins. The 8, 5, 3 from the board would be the second/third/fourth kickers if needed, but the first kicker already settled it. Player B's queen is useless. This is the classic "out-kicked" loss — and it's the single most expensive lesson new players pay tuition on.
The opposite case — what feels like a bad beat but isn't. Same board, both players hold an ace:
- Player A holds A♠7♣
- Player B holds A♦4♥
- Board: A♥ K♠ Q♦ J♣ T♠
The board is a broadway straight — A-K-Q-J-T. Both players play the board. Both have the same five cards: A-K-Q-J-T. The 7 and the 4 are below the lowest card of the straight, so they're not kickers; they don't play. Pot is split. New players will swear "but I had the seven!" Nope. Best five cards from seven, and the seven didn't make the cut.
The seven-card-pick-five rule
In Texas Hold'em you have seven cards available (two hole + five community) and your hand is the best five. That sounds obvious but it produces a few results that catch beginners out:
- You don't have to use either hole card. If the board is the best five cards possible (a straight, a flush, the broadway shown above), you "play the board" — and so does everyone else who can't beat it.
- You can use only one hole card. The board is K♠ 7♠ 4♠ 2♠ 9♣. You hold A♠2♣. Your hand is the ace-high flush in spades (A-K-7-4-2). You used one hole card (the A♠) and four board cards. Beats any player who doesn't have a spade higher than the king.
- You can use both hole cards. Standard. You hold 8♠8♥ on an 8♦-K-2 board — set of eights, using both hole cards.
- Omaha is different. If you ever switch to Omaha, the rule changes — you must use exactly two hole cards and three board cards. In Omaha the broadway-board example above is not a split pot, because each player has to use two of their four hole cards. Hold'em doesn't have that constraint.
The four mistakes that cost the most money
If you play a weekly home game, every player at your table has lost a buy-in to at least one of these. The categories never change.
1. Overvaluing two pair on a coordinated board
You make bottom two pair on a board like J-T-2 with J-T in your hand, and you stack off. Top set has you crushed. Top two pair has you dominated. An open-ended straight draw has 35% equity. You're a tiny favorite at best and a massive dog at worst, and you treated it like the nuts. Two pair is the single most overplayed made hand in home games.
2. Calling with a weak ace
You hold A-6 offsuit. The flop is A-K-3. You hit top pair. You call, call, call. You lose to A-Q, A-J, A-T, A-9, A-8, A-7. You're ahead of A-5, A-4, A-2. You're a giant dog to every other ace-x holding, and the people raising aces almost never have one of those three hands you beat. "Top pair" is a kicker problem in disguise — pair rank only matters when the kicker holds up.
3. Confusing a straight with a flush draw
On a two-suited board with one card to come, a flush draw has 9 outs (about 19% to hit). An open-ended straight draw has 8 outs (about 17%). Almost the same odds — but players treat the flush draw as "the strong one" and the straight as "weak." They're nearly identical. What's actually weak: a gutshot (4 outs, ~9%). Don't lump it in with the others.
4. Forgetting the board can play
Pre-flop you held J♣J♦ and felt great. The board comes 9♥ T♥ Q♦ K♥ A♥. The board is a broadway straight and there are four hearts. Your jacks make a pair that doesn't even use one of your hole cards as a kicker — the board's A is higher than your J. Anyone holding any heart higher than the king beats you with a flush. Anyone holding nothing at all chops with you. Your "premium" pre-flop hand is a literal zero-equity holding by the river. Whenever the board threatens straights, flushes, or pairs, recompute your hand from scratch using all seven cards.
See the rankings in action — free equity calculator
Plug your two cards and your opponent's range into our Monte Carlo equity calculator. It evaluates every possible board run-out, applies these exact rankings, and tells you your real win percentage. 13×13 range grid, position presets, board cards optional. No signup.
Open the calculator → Read the foundations chapter →Memorizing the order — the cheats that actually work
The two halves: made of suits (royal flush, straight flush, flush) and made of ranks (everything else). Between them, the four-of-a-kind, full house, and three-of-a-kind ladder is just "how many of one rank do I have, and is there a side pair." The mnemonic players actually use:
RSF (royal/straight flush) · FOAK (four-of-a-kind) · FH (full house) · FL (flush) · ST (straight) · TOAK (three-of-a-kind) · 2P (two pair) · 1P (one pair) · HC (high card)
The only two rankings people swap by accident: flush vs. straight. The fix is to remember the count — 5,108 flushes vs. 10,200 straights. Twice as many straights as flushes means flushes are rarer means flushes win. Once that sticks, the whole chart sticks.
What to read next
The rankings are the alphabet. The next thing to learn is the words — which two-card starting hands actually have value, and how much value depends on position and opponent. Then you'll be ready to read the chart against an opponent's range and start to see the hand as a probability distribution instead of a coaster.
- Foundations · Chapter 2 — Starting hands and position
- How to use a poker equity calculator (and why most home players don't)
- Preflop equity chart — exact odds for 36 common matchups
- Free Monte Carlo equity calculator
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Want the rest of the home-game playbook — blind structures, payouts, multi-table balancing, tournament etiquette? Grab the free 7-page Playbook PDF or read our complete guide to running a home tournament.