Poker Hand Probability Calculator
Calculate the probability of being dealt any classic five-card poker hand from a standard 52-card deck. It divides the number of ways to make each hand by the total number of possible hands, so it is great for learning poker math.
Last updated: May 2026
Probability
0.0000
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About this calculator
A five-card hand is dealt from a 52-card deck, so the total number of distinct hands is C(52, 5) = 2,598,960, and every hand is equally likely. The probability of a given hand category is (number of five-card combinations that form that hand) ÷ 2,598,960, then expressed as a percentage. You select the Hand Type and the calculator supplies its combination count: for example Four of a Kind has 624 ways, a Full House 3,744, a Flush 5,108, a Straight 10,200, Three of a Kind 54,912, Two Pair 123,552, and One Pair 1,098,240. These counts come from standard combinatorics — e.g. Four of a Kind = 13 ranks × C(4,4) × 48 remaining cards = 624. Because order of the dealt cards is irrelevant, combinations (not permutations) are used. The figures describe a single five-card deal (as in five-card draw), not the seven-card pool of Texas Hold'em, where the same hand names have different and generally higher probabilities. The model assumes a fair, complete 52-card deck with no jokers or wild cards; adding wilds or removing cards changes every count.
How to use
Example 1 — probability of Four of a Kind. Select Hand Type = Four of a Kind. The calculator uses 624 favorable hands. Probability = 624 / 2,598,960 = 0.000240, or 0.0240% — about 1 in 4,165. Verify the count: choose the rank (13 ways), take all four of its cards (C(4,4) = 1), then pick any 1 of the 48 remaining cards (48 ways): 13 × 48 = 624. Example 2 — probability of One Pair. Select Hand Type = One Pair. The calculator uses 1,098,240 favorable hands. Probability = 1,098,240 / 2,598,960 = 0.4226, or 42.26% — the most common 'made' hand. Verify the scale: One Pair should dwarf Four of a Kind, and indeed 42.26% versus 0.024% confirms that weaker hands occur far more often, exactly as poker hand rankings imply.
Frequently asked questions
Do these probabilities apply to Texas Hold'em?
Not directly. These figures are for a single five-card deal out of C(52, 5) = 2,598,960 hands, which matches five-card draw. Texas Hold'em uses the best five cards out of seven (two hole cards plus five community cards), so the relevant denominator is C(52, 7) and the chance of making each hand by the river is generally higher. For instance, the probability of eventually making at least one pair in Hold'em is much greater than the 42% single-deal figure. Treating these five-card numbers as Hold'em odds is a common mistake. For Hold'em planning, use seven-card hand frequencies or equity calculators instead.
Why does the calculator use combinations rather than permutations?
Because a poker hand is a set of five cards whose dealt order does not matter — receiving the ace first or last makes no difference to the hand. Combinations count each unordered five-card set exactly once, giving the correct total of 2,598,960. Permutations would count all 120 orderings of each hand separately, inflating both numerator and denominator and, if mixed inconsistently, producing wrong probabilities. The clean way is to count favorable combinations over total combinations. This is the same reason lottery and dealt-card problems almost always use C(n, k).
What is the most common mistake when reading poker probabilities?
The biggest error is double counting or failing to make hand categories mutually exclusive. Standard counts treat a Flush as 'flush but not straight flush', a Straight as 'straight but not straight flush', and Three of a Kind as excluding Full House and Four of a Kind. If you naively count 'any five cards of one suit' you include straight flushes and overstate the Flush probability. Another frequent slip is using the seven-card game in your head while reading five-card numbers. Always confirm whether a published figure is exclusive or inclusive, and whether it is for five or seven cards, before comparing values.
How do wild cards or a stripped deck change the odds?
They change everything, because the counts here assume a complete, standard 52-card deck with no jokers. Adding even one wild card increases the number of ways to make strong hands and can reorder which hands are rarest — a known quirk is that with wilds, two pair can become rarer than three of a kind, breaking the usual ranking logic. Stripped decks (for example 36-card games that remove low cards) reduce the total combinations and shift every probability. This calculator cannot model those variants. For wild-card or short-deck games you must recount the favorable hands for the modified deck.
When should I NOT use this poker probability calculator?
Avoid it for any game that is not a single five-card deal from a full deck: Hold'em, Omaha, seven-card stud, wild-card games, and short-deck variants all need different combination counts. It also does not compute conditional or 'drawing' odds — for example the chance of completing a flush given four suited cards — which require accounting for the cards already seen. Do not use it to make in-game betting decisions, since those depend on opponents, position, and pot odds, not just dealt-hand frequencies. Finally, it gives category probabilities, not the probability that your specific hand beats another. Use an equity or outs-based tool for live decision-making.