Royal Flush Odds: 1 in 649,740 Explained

Poker Math · Probability

A royal flush is A-K-Q-J-10 all of the same suit — the five highest cards in one suit, in sequence. There are exactly 4 of them in a 52-card deck (one per suit) out of 2,598,960 possible five-card hands, which is 1 in 649,740, or 0.000154%.

It is the best hand in poker, it cannot be beaten, and it can only be tied. Here’s the full picture: how the count works, what the odds actually are in Hold’em (much better than 1 in 649,740), and the one mistake that turns a royal into a small pot.

The five cards in a royal flush

CardRank
AAce
KKing
QQueen
JJack
10Ten

All five must share a suit. The four royals are therefore A-K-Q-J-10 of spades, of hearts, of diamonds, and of clubs. Nothing else qualifies — A-K-Q-J-9 suited is just a flush, and A-K-Q-J-10 in mixed suits is just a straight (a “Broadway” straight).

Why the odds are 1 in 649,740

There are C(52,5) = 2,598,960 distinct five-card hands. Exactly 4 of them are royal flushes. So:

4 ÷ 2,598,960 = 0.000154% = 1 in 649,740

That’s the number quoted everywhere, and it is correct — for a hand of five random cards, as in five-card draw before the draw. It is not the number that matters in Hold’em.

Realistic Hold’em odds: 1 in 30,940

In Hold’em you make your best five cards out of seven. Of the 133,784,560 seven-card combinations, 4,324 contain a royal flush. That’s:

4,324 ÷ 133,784,560 = 0.00323% = 1 in 30,940

Twenty-one times more likely than the five-card figure. The catch in that number: it assumes you see all five community cards, which means playing every hand to the river. Nobody does that. Real-world frequency for a winning player who folds most hands preflop is meaningfully worse — the honest framing is “1 in 30,940 hands taken to showdown,” and most players go years between royals.

ScenarioOdds
Five random cards (draw poker)1 in 649,740
Flopping one in Hold’em1 in 649,740
By the river in Hold’em, all 7 cards1 in 30,940
Any straight flush by the river (Hold’em)1 in 3,217

That first-and-second row match is a nice coincidence with a real reason behind it: flopping a royal means five specific cards — your two plus the flop — are exactly the royal, which is the same event as being dealt those five cards. The probability doesn’t care about the order they arrived in.

To break it down further: you’re dealt two of the five royal cards, suited, in 40 of 1,326 starting-hand combinations (3.02% — that’s any two of A, K, Q, J, 10 in one suit). From there you need the flop to be the exact other three cards: 1 in 19,600. Multiply and you’re back at 1 in 649,740.

Royal flush vs. straight flush

A royal flush is a straight flush — the highest one. Some rulebooks don’t list it separately and just call it “an ace-high straight flush.” The hand rankings split them out because the distinction matters in conversation, not in the rules.

Royal flushStraight flush
DefinitionA-K-Q-J-10 suitedAny 5 suited cards in sequence
Combinations436 (excluding royals)
Probability (5 cards)0.000154%0.00139%
Can it be beaten?NoYes — by a higher straight flush

The lowest straight flush is A-2-3-4-5 suited, the “steel wheel,” where the ace plays low and the 5 is the high card. Full breakdown in straight flush probability.

Two royals split the pot — suits don’t break ties

In standard poker, suits have no rank. There is no “spades beat hearts.” So two players holding royal flushes of different suits split the pot down the middle.

In Hold’em this can only happen one way: the five community cards themselves form the royal flush. If the board runs A-K-Q-J-10 all of hearts, every player still in the hand plays the board and the pot is chopped among all of them — your hole cards are irrelevant. There is no way for two different players to hold two different royals in Hold’em, because two royals require ten specific cards and the board can only supply five.

In seven-card stud or five-card draw, two players can genuinely hold different-suited royals, and it’s still a chop. Suit ranking exists in poker only for narrow procedural decisions — the stud bring-in, awarding an odd chip in a split pot, drawing high card for the button — never for comparing hands.

What a royal draw actually looks like

The useful version of this page is what to do when you’re close.

Flopped royal draw. You hold two royal cards suited, the flop brings two more of them, and one specific card completes it. That’s 1 out: 2 in 47 on the turn-and-river together, or 4.3%. Slim — but you almost always have a huge hand anyway, because you’re simultaneously drawing to the nut flush (9 outs) and often a Broadway straight.

Flopped royal flush draw with two overcards and the nut flush draw is one of the strongest non-made hands in Hold’em. Your equity comes from the flush and the straight, not the royal. Play it for the flush.

The 3.02% starting hands. A-K, A-Q, A-J, A-10, K-Q, K-J, K-10, Q-J, Q-10, and J-10 — suited — are the ten hands that can flop a royal. Note that all ten are already strong for ordinary reasons, so no adjustment to your preflop ranges is warranted. A royal is a byproduct of playing good cards well, never a target.

The one mistake: slow-playing it into oblivion

The most common way to waste a royal flush is to get cute with it. You cannot be beaten, so there’s no protection argument — but there’s also no world in which a check-check-check line makes money.

  • Bet for value on every street you can. Your hand is invulnerable, so every chip your opponent puts in is pure profit. Trapping only works when someone has a hand strong enough to bet into you, and on a board with four royal cards showing, that’s rare.
  • The board texture works against you. A royal requires three of your five royal cards to be on the board, all one suit. That is the most obvious possible board — opponents shut down on it. Waiting for them to bet usually means waiting for a check-down.
  • Small bets beat no bets. A one-third-pot river bet that gets called by ace-high is worth more than a pot-sized bet that folds out everything, and infinitely more than a check.
  • Bad-beat jackpots don’t change this. Where such promotions exist, they pay on quads-or-better losing hands, not on royals, and chasing them is a losing adjustment.

The general principle applies to every monster: your hand’s value is only realized when money goes in. Practice sizing these spots with the free odds calculator so you can see how little equity your opponents have — and how much they’ll still call with.

Quick answers

  • How many cards are in a royal flush? Five: A, K, Q, J, 10, all one suit.
  • How many royal flushes are in a deck? Four — one per suit.
  • What are the odds of a royal flush? 1 in 649,740 for five cards; 1 in 30,940 across all seven cards in Hold’em.
  • Does a royal flush in spades beat one in hearts? No. Suits don’t rank — it’s a split pot.
  • What beats a royal flush? Nothing.
  • Is a royal flush the same as a straight flush? It’s the highest straight flush.

For where every other hand sits on the chart and why, see does a flush beat a straight or work through the combinations in poker hand probabilities.

Keep learning: try the free poker odds calculator, memorize the hand rankings, or browse all strategy guides.