Are Poker Hand Rankings Based on Probability?

Yes — poker hand rankings are based entirely on probability, and the table above is the proof. Read the combination column top to bottom and it only ever grows: each hand is strictly more common than the one above it. That monotonic order isn’t a coincidence or a tradition. It is the ranking. Sort every possible five-card hand from rarest to most common and you reproduce the official ladder exactly.

The whole rule in one line

A standard 52-card deck produces exactly 2,598,960 distinct five-card hands. Add up the combination column above and you’ll land on that same total — every possible hand accounted for, none double-counted. Poker’s ranking is nothing more than those categories sorted by size. A hand you can build only 4 ways must outrank one you can build 1.3 million ways, because you’ll almost never be dealt the rare one.

That’s why the order feels natural once you’ve seen the numbers. Nobody learns rankings by memorizing rarity; they learn “flush beats straight.” But the reason a flush beats a straight is that flushes are rarer, and nothing more.

Flush over straight, by the numbers

Take the most-argued pair on the chart. There are 5,108 flushes and 10,200 straights in a 52-card deck. A straight is nearly twice as common, so it ranks below the flush. Flip the counts — make straights the rarer hand — and the ranking would flip with them. The rule follows the math, not the other way around.

Every neighboring “beats” relationship works the same way. Four of a kind (624 ways) beats a full house (3,744) because quads are about six times rarer. A full house beats a flush because 3,744 is fewer than 5,108. Down the whole ladder, it’s just a smaller number beating a larger one.

The full ladder

One pair and high card together account for more than 92% of all hands. You’ll hold “one pair or nothing” the overwhelming majority of the time, which is precisely why those two anchor the bottom.

Does the game format change any of this?

The order never moves — a flush beats a straight in every standard variant. But your practical chance of making each hand does shift with the format, because you see more cards. In five-card draw you build from five cards, matching the counts above. In Texas Hold’em you use the best five of seven, so you reach stronger hands more often: a flush completes far more frequently across seven cards than across five.

That distinction is worth holding onto. The combination counts fix the ranking; the number of cards you see governs how often you arrive at each hand. Both are probability — just measured over different card pools. The draw-and-outs math behind that sits in the odds and math hub.

Because the ranking is frozen by five-card rarity, the same order carries across Hold’em, Omaha, and draw. Only the frequency of reaching each hand changes between games; the pecking order is permanent. See it laid out visually in the poker hand probability chart, confirm the top of the ladder at what is the highest hand in poker, or start from the hand rankings hub.