Poker Hand Odds Calculator
A poker hands odds calculator is a tool that computes the probability of forming each hand ranking from a standard 52-card deck. It answers a simple question with exact math: out of every possible five-card combination, how likely is a flush, a full house, or a royal flush? Because a deck has a fixed, countable number of five-card combinations, these odds are not estimates — they are fixed values derived from combinatorics.
Most players reach for a poker hands calculator or a poker hand rankings calculator when they want to compare two hand types, check the odds mid-hand, or verify what hand wins in poker calculator results during a live game. A poker hands simulator extends this further by running thousands of random deals and tracking how often each hand type appears, which approximates the same fixed odds that combinatorics produces exactly.
How the Calculator Computes Poker Hand Odds
The math behind any poker hands odds calculator starts with one number: a standard 52-card deck deals 2,598,960 distinct five-card hands. Every ranking's odds come from dividing the number of ways to form that hand by this total. A royal flush, for example, can only be formed 4 ways, one per suit, so its probability sits at roughly 0.000154%.
This same method applies to every hand category. A four-of-a-kind hand has 624 possible combinations, a full house has 3,744, and a straight has 10,200 (including straight flushes before they are excluded). A three-of-a-kind hand has 54,912 combinations, while one pair — the most common made hand — appears in 1,098,240 of the 2,598,960 total deals. The calculator simply automates this counting so a player does not need to run the combinatorics by hand at the table.
| Hand Ranking | Combinations | Probability |
|---|---|---|
| Royal Flush | 4 | 0.000154% |
| Straight Flush | 36 | 0.00139% |
| Four of a Kind | 624 | 0.0240% |
| Full House | 3,744 | 0.1441% |
| Flush | 5,108 | 0.1965% |
| Straight | 10,200 | 0.3925% |
| Three of a Kind | 54,912 | 2.1128% |
| Two Pair | 123,552 | 4.7539% |
| One Pair | 1,098,240 | 42.2569% |
| High Card | 1,302,540 | 50.1177% |
Notice that the ten rows in this table add up to exactly 2,598,960 hands, the full set of five-card combinations possible from a 52-card deck. This total never changes, which is why a poker hand rankings calculator produces the same baseline odds every time, regardless of which software or simulator generates them.
Poker Hand Odds Calculator
Enter two Texas Hold'em starting hands as cards — for example "As Ks" against "Qh Qd" — add an optional board, and the tool estimates each hand's live equity with a 100,000-runout Monte Carlo simulation.
Using the Poker Hands Odds Calculator Step by Step
- Enter your two hole cards in the first field, using rank-and-suit notation such as "As Kh".
- Enter the opponent's two cards, then optionally add a flop, turn or river in the board field.
- The simulator deals 100,000 random runouts and counts how often each hand wins, ties or loses.
- The equity figures update as you type, showing each hand's long-run share of the pot.
For example, a flush occurs in 5,108 of the 2,598,960 possible hands, while a straight occurs in 10,200. Comparing these two numbers directly shows that a straight is roughly twice as common as a flush, which is why standard hand rankings place the flush above the straight in value.
Combinations vs. Live Odds
The distinction between fixed odds and live odds matters because a poker table rarely resembles a single random draw from an untouched deck. Community cards, folded hands, and known hole cards all shift the remaining probabilities. A poker hands odds calculator built for live play recalculates these odds after each street, while a static rankings table only reflects the original, unconditional deck odds. Some tools also function as a poker hands simulator, running repeated random trials to confirm that observed frequencies match the theoretical combination counts. For a deeper breakdown of individual terms used in these calculations, see the glossary.
Understanding both figures helps explain what hand wins in poker calculator outputs when two players hold cards that look close in strength. A pair of aces and two pair might seem similar on the surface, but two pair forms in only 123,552 of the 2,598,960 possible hands, compared to 1,098,240 for one pair — nearly nine times fewer combinations, and therefore a stronger, rarer hand.
Why Hand Odds Comparisons Matter
Comparing combination counts explains why the standard hand ranking order exists in the first place. Rarer hands rank higher precisely because fewer five-card combinations can produce them. A full house, built from 3,744 combinations, outranks a flush at 5,108 combinations for this exact reason — not by convention, but by the underlying math.
- Full house (3,744 combinations) ranks above flush (5,108 combinations) because it is rarer.
- Straight (10,200 combinations) ranks below flush (5,108 combinations) for the same reason.
- Three of a kind (54,912 combinations) is more common than a straight, so it ranks lower.
- One pair (1,098,240 combinations) is the second most common made hand, ranking just above high card.